Anthropocentrism (//ⓘ from Ancient Greekἄνθρωπος (ánthrōpos)'human' and κέντρον (kéntron)'center') is the belief that human beings are the central or most important entity on the planet. The term can be used interchangeably with humanocentrism, and some refer to the concept as human supremacy or human exceptionalism. From an anthropocentric perspective, humankind is seen as separate from nature and superior to it, and other entities (animals, plants, minerals, etc.) are viewed as resources for humans to use.
It is possible to distinguish between at least three types of anthropocentrism: perceptual anthropocentrism (which "characterizes paradigms informed by sense-data from human sensory organs"); descriptive anthropocentrism (which "characterizes paradigms that begin from, center upon, or are ordered around Homo sapiens / 'the human'"); and normative anthropocentrism (which "characterizes paradigms that make assumptions or assertions about the superiority of Homo sapiens, its capacities, the primacy of its values, [or] its position in the universe").
Anthropocentrism tends to interpret the world in terms of human values and experiences. It is considered to be profoundly embedded in many modern human
cultures and conscious acts. It is a major concept in the field of environmental ethics and environmental philosophy, where it is often considered to be the root cause of problems created by human action within the ecosphere.[5]
However, many proponents of anthropocentrism state that this is not
necessarily the case: they argue that a sound long-term view
acknowledges that the global environment must be made continually
suitable for humans and that the real issue is shallow anthropocentrism.
Environmental philosophy
Some environmental philosophers have argued that anthropocentrism is a
core part of a perceived human drive to dominate or "master" the Earth.
Anthropocentrism is believed by some to be the central problematic
concept in environmental philosophy, where it is used to draw attention to claims of a systematic bias in traditional Western attitudes to the non-human world that shapes humans' sense of self and identities. Val Plumwood argued that anthropocentrism plays an analogous role in green theory to androcentrism in feminist theory and ethnocentrism in anti-racist theory. Plumwood called human-centredness "anthrocentrism" to emphasise this parallel.
One of the first extended philosophical essays addressing environmental ethics, John Passmore's Man's Responsibility for Nature, has been criticised by defenders of deep ecology because of its anthropocentrism, often claimed to be constitutive of traditional Western moral thought. Indeed, defenders of anthropocentrism concerned with the ecological crisis
contend that the maintenance of a healthy, sustainable environment is
necessary for human well-being as opposed to for its own sake. According
to William Grey, the problem with a "shallow" viewpoint is not that it
is human-centred: "What's wrong with shallow views is not their concern
about the well-being of humans, but that they do not really consider
enough in what that well-being consists. According to this view, we need
to develop an enriched, fortified anthropocentric notion of human
interest to replace the dominant short-term, sectional and
self-regarding conception." In turn, Plumwood in Environmental Culture: The Ecological Crisis of Reason argued that Grey's anthropocentrism is inadequate.
Many devoted environmentalists encompass a somewhat
anthropocentric-based philosophical view supporting the fact that they
will argue in favor of saving the environment for the sake of human
populations. Grey writes: "We should be concerned to promote a rich, diverse, and
vibrant biosphere. Human flourishing may certainly be included as a
legitimate part of such a flourishing." Such a concern for human flourishing amidst the flourishing of life as a
whole, however, is said to be indistinguishable from that of deep ecology and biocentrism, which has been proposed as both an antithesis of anthropocentrism and as a generalised form of anthropocentrism.
Cognitive psychology
In cognitive psychology, the term anthropocentric thinking has been defined as "the tendency to reason about unfamiliar biological species or processes by analogy to humans." Reasoning by analogy is an attractive thinking strategy, and it can be tempting to apply one's own experience of being human to other biological systems. For example, because death is commonly felt to be undesirable, it may be tempting to form the misconception that death at a cellular level or elsewhere in nature is similarly undesirable (whereas in reality programmed cell death is an essential physiological phenomenon, and ecosystems also rely on death). Conversely, anthropocentric thinking can also lead people to
underattribute human characteristics to other organisms. For instance,
it may be tempting to wrongly assume that an animal that is very
different from humans, such as an insect, will not share particular
biological characteristics, such as reproduction or blood circulation.
Anthropocentric thinking has predominantly been studied in young children (mostly up to the age of 10) by developmental psychologists interested in its relevance to biology education.
Children as young as 6 have been found to attribute human
characteristics to species unfamiliar to them (in Japan), such as
rabbits, grasshoppers or tulips. Although relatively little is known about its persistence at a later
age, evidence exists that this pattern of human exceptionalist thinking
can continue through young adulthood at least, even among students who
have been increasingly educated in biology.
The notion that anthropocentric thinking is an innate
human characteristic has been challenged by study of American children
raised in urban environments, among whom it appears to emerge between
the ages of 3 and 5 years as an acquired perspective. Children's recourse to anthropocentric thinking seems to vary with
their experience of nature, and cultural assumptions about the place of
humans in the natural world. For example, whereas young children who kept goldfish were found to
think of frogs as being more goldfish-like, other children tended to
think of frogs in terms of humans. More generally, children raised in rural environments appear to use
anthropocentric thinking less than their urban counterparts because of
their greater familiarity with different species of animals and plants. Studies involving children from some of the indigenous peoples of the Americas have found little use of anthropocentric thinking. Study of children among the Wichí people in South America showed a tendency to think of living organisms in terms of their perceived taxonomic similarities, ecological considerations, and animistic
traditions, resulting in a much less anthropocentric view of the
natural world than is experienced by many children in Western societies.
Abrahamic traditions
In the 1985 CBC series "A Planet For the Taking", David Suzuki explored the Old Testament roots of anthropocentrism and how it shaped human views of non-human animals. Some Christian proponents of anthropocentrism base their belief on the Bible, such as the verse 1:26 in the Book of Genesis:
And God said, Let us make man in
our image, after our likeness: and let them have dominion over the fish
of the sea, and over the fowl of the air, and over the cattle, and over
all the earth, and over every creeping thing that creepeth upon the
earth.
The use of the word "dominion" in the Genesis has been used to
justify an anthropocentric worldview, but recently some have found it
controversial, viewing it as possibly a mistranslation from the Hebrew. However an argument can be made that the Bible actually places all the
importance on God as creator, and humans as merely another part of
creation.
Jewish opposition to anthropocentrism
Moses Maimonides, a Torah
scholar who lived in the twelfth century AD, was renowned for his
staunch opposition to anthropocentrism. He referred to humans as "just a
drop in the bucket" and asserted that "humans are not the axis of the
world". He also claimed that anthropocentric thinking is what leads
humans to believe in the existence of evil things in nature. According
to Rabbi Norman Lamm, Moses Maimonides "refuted the exaggerated ideas about the importance of man and urged us to abandon these fantasies.
Catholicism
Catholic social teaching sees the pre-eminence of human beings over the rest of creation in terms of service rather than domination. Pope Francis, in his 2015 encyclical letter Laudato si',
notes that "an obsession with denying any pre-eminence to the human
person" endangers the concern which should be shown to protecting and
upholding the welfare of all people, which he argues should rank
alongside the "care for our common home" which is the subject of his
letter.
In the same text he acknowledges that "a mistaken understanding" of
Christian belief "has at times led us to justify mistreating nature, to
exercise tyranny over creation": in such actions, Christian believers
have "not [been] faithful to the treasures of wisdom which we have been
called to protect and preserve. In his follow-up exhortation, Laudate Deum
(2023) he refers to a preferable understanding of "the unique and
central value of the human being amid the marvellous concert of all
God's creatures" as a "situated anthropocentrism".
Human rights
Anthropocentrism is the grounding for some naturalistic concepts of specifically human rights
as opposed to animal rights extended to include the human species.
Apologists of anthropocentrism argue that it is the necessary
fundamental premise to defend universal human rights, since what matters morally is simply being human. For example, noted philosopher Mortimer J. Adler
wrote, "Those who oppose injurious discrimination on the moral ground
that all human beings, being equal in their humanity, should be treated
equally in all those respects that concern their common humanity, would
have no solid basis in fact to support their normative principle." Adler
is stating here that denying what is now called human exceptionalism
could lead to tyranny, writing that if humans ever came to believe that
they do not possess a unique moral status,
the intellectual foundation of their liberties collapses: "Why, then,
should not groups of superior men be able to justify their enslavement,
exploitation, or even genocide of inferior human groups on factual and
moral grounds akin to those we now rely on to justify our treatment of
the animals we harness as beasts of burden, that we butcher for food and
clothing, or that we destroy as disease-bearing pests or as dangerous
predators?"
Author and anthropocentrism apologist Wesley J. Smith from the Discovery Institute
has written that human exceptionalism is what gives rise to human
duties to each other, the natural world, and to treat animals humanely.
Writing in A Rat is a Pig is a Dog is a Boy, a critique of animal rights ideology, "Because we are
unquestionably a unique species—the only species capable of even
contemplating ethical issues and assuming responsibilities—we uniquely
are capable of apprehending the difference between right and wrong, good
and evil, proper and improper conduct toward animals. Or to put it more
succinctly, if being human isn't what requires us to treat animals
humanely, what in the world does?"
Anthropocentrism is closely related to the notion of speciesism, defined by Richard D. Ryder
as a "a prejudice or attitude of bias in favour of the interests of
members of one's own species and against those of members of other
species".
Early critiques
One of the earliest critics of anthropocentrism was Edward Payson Evans in his book Evolutional Ethics and Animal Psychology
(1897), where he challenges the idea that humans are fundamentally
distinct from other sentient beings. He argues that anthropocentric
psychology and ethics persist, treating humans as superior and denying
mental or moral connections to other species. Evans suggests these
beliefs stem from human self-importance, which overlooks the shared
qualities of sentience across species and questions the ethical
implications of such a view.
Later, J. Howard Moore, in The Universal Kinship (1906), expanded on this critique, asserting that Charles Darwin's On the Origin of Species
(1859) "sealed the doom" of anthropocentrism. Moore argued that the
doctrine of organic evolution, which established the common genesis of
all animals, fundamentally altered humanity's view of its place in the
natural world. Before the publication of The Origin of Species,
humans may have been seen as distinct from other creatures, but with the
advent of evolutionary theory, all species were recognized as sharing a
common ancestry. Moore considered this shift one of the most
significant intellectual developments, comparable to the groundbreaking
insights of Galileo and Copernicus.
Challenging human exceptionalism
While humans cognition is relatively advanced, many traits traditionally used to justify humanity exceptionalism (such as rationality, emotional complexity and social bonds) are not unique to humans. Research in ethology has shown that non-human animals, such as primates, elephants, and cetaceans, also demonstrate complex social structures, emotional depth, and problem-solving
abilities. This challenges the claim that humans possess qualities
absent in other animals, and which would justify denying moral status to
them.
Animal welfare perspectives
Animal welfare proponents attribute moral consideration to all sentient
animals, proportional to their ability to have positive or negative
mental experiences. It is notably associated with the ethical theory of utilitarianism, which aims to maximize well-being. It is notably defended by Peter Singer. According to David Pearce, "other things being equal, equally strong interests should count equally." Jeremy Bentham is also known for raising early the issue of animal
welfare, arguing that "the question is not, Can they reason? nor, Can
they talk? but, Can they suffer?". Animal welfare proponents can in theory accept animal exploitation if
the benefits outweigh the harms. But in practice, they generally
consider that intensive animal farming causes a massive amount of suffering that outweighs the relatively minor benefit that humans get from consuming animals.
Animal rights perspectives
Animal rights
proponents argue that all animals have inherent rights, similar to
human rights, and should not be used as means to human ends. Unlike
animal welfare advocates, who focus on minimizing suffering, animal
rights supporters often call for the total abolition of practices that
exploit animals, such as intensive animal farming, animal testing, and hunting. Prominent figures like Tom Regan
argue that animals are "subjects of a life" with inherent value,
deserving moral consideration regardless of the potential benefits
humans may derive from using them.
In popular culture
In fiction from all eras and societies, there is fiction depicting
the actions of humans to ride, eat, milk, and otherwise treat
(non-human) animals as inferior. There are occasional fictional
exceptions, such as talking animals as aberrations to the rule distinguishing people from animals.
In science fiction, humanocentrism is the idea that humans, as both beings and as a species, are the superior sentients. Essentially the equivalent of racial supremacy on a galactic scale, it entails intolerant discrimination against sentient non-humans,
much like race supremacists discriminate against those not of their
race. A prime example of this concept is utilized as a story element for
the Mass Effect
series. After humanity's first contact results in a brief war, many
humans in the series develop suspicious or even hostile attitudes
towards the game's various alien races. By the time of the first game,
which takes place several decades after the war, many humans still
retain such sentiments in addition to forming 'pro-human' organizations.
The Planet of the Apes franchise focuses on the analogy of apes becoming the dominant species in society and the fall of humans (see also human extinction). In the 1968 film, Taylor, a human states "take your stinking paws off me, you damn dirty ape!". In the 2001 film,
this is contrasted with Attar (a gorilla)'s quote "take your stinking
hands off me, you damn dirty human!". This links in with allusions that
in becoming the dominant species apes are becoming more like humans (anthropomorphism). In the film Battle for the Planet of the Apes, Virgil, an orangutan
states "ape has never killed ape, let alone an ape child. Aldo has
killed an ape child. The branch did not break. It was cut with a sword."
in reference to planned murder; a stereotypical human concept.
Additionally, in Dawn of the Planet of the Apes, Caesar states "I always think...ape better than human. I see now...how much like them we are."
In George Orwell's novel Animal Farm,
this theme of anthropocentrism is also present. Whereas originally the
animals planned for liberation from humans and animal equality, as
evident from the "seven commandments" such as "whatever goes upon two
legs is an enemy", "Whatever goes upon four legs, or has wings, is a
friend", "All animals are equal"; the pigs would later amend the
commandments with statements such as "All animals are equal, but some
animals are more equal than others", and "Four legs good, two legs
better."
The 2012 documentary The Superior Human? systematically
analyzes anthropocentrism and concludes that value is fundamentally an
opinion, and since life forms naturally value their own traits, most
humans are misled to believe that they are actually more valuable than
other species. This natural bias, according to the film, combined with a
received sense of comfort and an excuse for exploitation of non-humans
cause anthropocentrism to remain in society.
In his 2009 book Eating Animals, Jonathan Foer
describes anthropocentrism as "The conviction that humans are the
pinnacle of evolution, the appropriate yardstick by which to measure the
lives of other animals, and the rightful owners of everything that
lives."
In cosmology and philosophy of science, the anthropic principle, also known as the observation selection effect,
is the proposition that the range of possible observations that could
be made about the universe is limited by the fact that observations are
only possible in the type of universe that is capable of developing
observers in the first place. Proponents of the anthropic principle
argue that it explains why the universe has the age and the fundamental physical constants
necessary to accommodate intelligent life. If either had been
significantly different, no one would have been around to make
observations. Anthropic reasoning has been used to address the question
as to why certain measured physical constants take the values that they
do, rather than some other arbitrary values, and to explain a perception
that the universe appears to be finely tuned for the existence of life.
There are many different formulations of the anthropic principle. Philosopher Nick Bostrom
counts thirty, but the underlying principles can be divided into "weak"
and "strong" forms, depending on the types of cosmological claims they
entail.
Definition and basis
The principle was formulated as a response to a series of observations
that the laws of nature and parameters of the universe have values that
are consistent with conditions for life as it is known rather than
values that would not be consistent with life on Earth. The anthropic
principle states that this is an a posteriorinecessity,
because if life were impossible, no living entity would be there to
observe it, and thus it would not be known. That is, it must be possible
to observe some universe, and hence, the laws and constants of any such universe must accommodate that possibility.
The term anthropic in "anthropic principle" has been argued to be a misnomer. While singling out the currently observable kind of carbon-based life, none of the finely tuned phenomena require human life or some kind of carbon chauvinism. Any form of life or any form of heavy atom, stone, star, or galaxy
would do; nothing specifically human or anthropic is involved.
The anthropic principle has given rise to some confusion and
controversy, partly because the phrase has been applied to several
distinct ideas. All versions of the principle have been accused of
discouraging the search for a deeper physical understanding of the
universe. Critics of the weak anthropic principle point out that its
lack of falsifiability
entails that it is non-scientific and therefore inherently not useful.
Stronger variants of the anthropic principle which are not tautologies
can still make claims considered controversial by some; these would be
contingent upon empirical verification.
In 1961, Robert Dicke noted that the age of the universe, as seen by living observers, cannot be random. Instead, biological factors constrain the universe to be more or less in a "golden age", neither too young nor too old. If the universe was one tenth as old as its present age, there would
not have been sufficient time to build up appreciable levels of metallicity (levels of elements besides hydrogen and helium) especially carbon, by nucleosynthesis.
Small rocky planets did not yet exist. If the universe were 10 times
older than it actually is, most stars would be too old to remain on the main sequence and would have turned into white dwarfs, aside from the dimmest red dwarfs,
and stable planetary systems would have already come to an end. Thus,
Dicke explained the coincidence between large dimensionless numbers
constructed from the constants of physics and the age of the universe, a
coincidence that inspired Dirac's varying-G theory.
Dicke later reasoned that the density of matter in the universe must be almost exactly the critical density needed to prevent the Big Crunch (the "Dicke coincidences" argument). The most recent measurements may suggest that the observed density of baryonic matter, and some theoretical predictions of the amount of dark matter, account for about 30% of this critical density, with the rest contributed by a cosmological constant. Steven Weinberg gave an anthropic explanation for this fact: he noted that the cosmological constant has a remarkably low value, some 120 orders of magnitude smaller than the value particle physics predicts (this has been described as the "worst prediction in physics"). However, if the cosmological constant were only several orders of
magnitude larger than its observed value, the universe would suffer
catastrophic inflation, which would preclude the formation of stars, and hence life.
The observed values of the dimensionless physical constants (such as the fine-structure constant) governing the four fundamental interactions are balanced as if fine-tuned to permit the formation of commonly found matter and subsequently the emergence of life. A slight increase in the strong interaction (up to 50% for some authors) would bind the dineutron and the diproton and convert all hydrogen in the early universe to helium; likewise, an increase in the weak interaction
also would convert all hydrogen to helium. Water, as well as
sufficiently long-lived stable stars, both essential for the emergence
of life as it is known, would not exist. More generally, small changes in the relative strengths of the four
fundamental interactions can greatly affect the universe's age,
structure, and capacity for life.
Origin
The phrase "anthropic principle" first appeared in Brandon Carter's contribution to a 1973 Krakówsymposium. Carter, a theoretical astrophysicist, articulated the anthropic principle in reaction to the Copernican principle, which states that humans do not occupy a privileged position in the Universe. Carter said: "Although our situation is not necessarily central, it is inevitably privileged to some extent." Specifically, Carter disagreed with using the Copernican principle to justify the Perfect Cosmological Principle, which states that all large regions and times in the universe must be statistically identical. The latter principle underlies the steady-state theory, which had recently been falsified by the 1965 discovery of the cosmic microwave background radiation. This discovery was unequivocal evidence that the universe has changed radically over time (for example, via the Big Bang).
Carter defined two forms of the anthropic principle, a "weak" one which referred only to anthropic selection of privileged spacetime
locations in the universe, and a more controversial "strong" form that
addressed the values of the fundamental constants of physics.
The argument can be used to explain
why the conditions happen to be just right for the existence of
(intelligent) life on the Earth at the present time. For if they were
not just right, then we should not have found ourselves to be here now,
but somewhere else, at some other appropriate time. This principle was
used very effectively by Brandon Carter and Robert Dicke
to resolve an issue that had puzzled physicists for a good many years.
The issue concerned various striking numerical relations that are
observed to hold between the physical constants (the gravitational constant, the mass of the proton, the age of the universe,
etc.). A puzzling aspect of this was that some of the relations hold
only at the present epoch in the Earth's history, so we appear,
coincidentally, to be living at a very special time (give or take a few
million years!). This was later explained, by Carter and Dicke, by the
fact that this epoch coincided with the lifetime of what are called main-sequence
stars, such as the Sun. At any other epoch, the argument ran, there
would be no intelligent life around to measure the physical constants in
question—so the coincidence had to hold, simply because there would be intelligent life around only at the particular time that the coincidence did hold!
One reason this is plausible, is that there are many other places and
times in which humans could have evolved. But when applying the strong
principle, there is only one universe, with one set of fundamental
parameters. Thus, Carter offers two possibilities: First, humans can use
their own existence to make "predictions" about the parameters. But
second, "as a last resort", humans can convert these predictions into explanations by assuming that there is more than one universe, in fact a large and possibly infinite collection of universes, something that is now called the multiverse
("world ensemble" was Carter's term), in which the parameters (and
perhaps the laws of physics) vary across universes. The strong principle
then becomes an example of a selection effect,
analogous to the weak principle. Postulating a multiverse is a radical
step that could provide at least a partial insight, seemingly out of the
reach of normal science, regarding why the fundamental laws of physics take the particular form we observe and not another.
Since Carter's 1973 paper, the term anthropic principle
has been extended to cover a number of ideas that differ in important
ways from his. Particular confusion was caused by the 1986 book The Anthropic Cosmological Principle by John D. Barrow and Frank Tipler, which distinguished between a "weak" and "strong" anthropic principle
in a way different from Carter's, as discussed in the next section.
Carter was not the first to invoke some form of the anthropic principle. The evolutionary biologistAlfred Russel Wallace
anticipated the anthropic principle as long ago as 1904: "Such a vast
and complex universe as that which we know exists around us, may have
been absolutely required [...] in order to produce a world that should
be precisely adapted in every detail for the orderly development of life
culminating in man." In 1957, Robert Dicke
wrote: "The age of the Universe 'now' is not random but conditioned by
biological factors [...] [changes in the values of the fundamental
constants of physics] would preclude the existence of man to consider
the problem."
Ludwig Boltzmann may have been one of the first in modern science to use anthropic reasoning. Prior to knowledge of the Big Bang, Boltzmann's thermodynamic concepts painted a picture of a universe that had inexplicably low entropy.
Boltzmann suggested several explanations, one of which relied on
fluctuations that could produce pockets of low entropy or Boltzmann
universes. While most of the universe is featureless in this model, to
Boltzmann, it is unremarkable that humanity happens to inhabit a
Boltzmann universe, as that is the only place that could develop and
support intelligent life.
Variants
According to Brandon Carter, the weak anthropic principle (WAP) states that "... our location in the universe is necessarily privileged to the extent of being compatible with our existence as observers." For Carter, "location" refers to our location in time and space. Carter goes on to define the strong anthropic principle (SAP) as the idea that:
The universe (and hence the fundamental parameters on which it depends) must be such as to admit the creation of observers within it at some stage. To paraphrase Descartes, cogito ergo mundus talis est.
The Latin tag (which means, "I think, therefore the world is such [as it is]") makes it clear that "must" indicates a deduction from the fact of our existence; the statement is thus a truism.
In their 1986 book, The anthropic cosmological principle, John Barrow and Frank Tipler depart from Carter and define the WAP and SAP differently. According to Barrow and Tipler, the WAP is the idea that:
The observed values of all physical and cosmological quantities are not equally probable but they take on values restricted by the requirement that there exist sites where carbon-based life can evolve and by the requirements that the universe be old enough for it to have already done so.
Unlike Carter, they restrict the principle to "carbon-based life"
rather than just "observers". A more important difference is that they
apply the WAP to the fundamental physical constants, such as the fine-structure constant, the number of spacetime dimensions, and the cosmological constant—topics that fall under Carter's SAP.
According to Barrow and Tipler, the SAP states that "the Universe
must have those properties which allow life to develop within it at
some stage in its history." While this looks very similar to Carter's SAP, the "must" is an
imperative, as shown by the following three possible elaborations of the
SAP, each proposed by Barrow and Tipler:
"There exists one possible Universe 'designed' with the goal of generating and sustaining 'observers'." This can be seen as simply the classic design argument restated in the garb of contemporary cosmology. It implies that the purpose of the universe is to give rise to intelligent life, with the laws of nature and their fundamental physical constants set to ensure that life emerges and evolves.
"Observers are necessary to bring the Universe into being." Barrow and Tipler believe that this is a valid conclusion from quantum mechanics, as John Archibald Wheeler has suggested, especially via his idea that information is the fundamental reality and his participatory anthropic principle (PAP) which is an interpretation of quantum mechanics associated with the ideas of Eugene Wigner. (See: It from bit)
"An ensemble of other different universes is necessary for the existence of our Universe." By contrast, Carter merely says that an ensemble of universes is necessary for the SAP to count as an explanation.
PhilosophersJohn Leslie and Nick Bostrom reject the Barrow and Tipler SAP as a fundamental misreading of Carter.
For Bostrom, Carter's anthropic principle just warns us to make
allowance for "anthropic bias"—that is, the bias created by anthropic selection effects (which Bostrom calls "observation" selection effects)—the necessity for observers to exist in order to get a result. He writes:
Many "anthropic principles" are
simply confused. Some, especially those drawing inspiration from Brandon
Carter's seminal papers, are sound, but... they are too weak to do any
real scientific work. In particular, I argue that existing methodology
does not permit any observational consequences to be derived from
contemporary cosmological theories, though these theories quite plainly
can be and are being tested empirically by astronomers. What is needed
to bridge this methodological gap is a more adequate formulation of how
observation selection effects are to be taken into account.
Bostrom defines a concept called the "strong self-sampling assumption"
(SSSA), the idea that "each observer-moment should reason as if it were
randomly selected from the class of all observer-moments in its
reference class." Analyzing an observer's experience into a sequence of
"observer-moments" like this helps avoid certain paradoxes, but the main
ambiguity is the selection of the appropriate "reference class". For
Carter's WAP, this might correspond to all real or potential
observer-moments in our universe. As for his SAP, this might correspond
to all in the multiverse. Bostrom's mathematical development shows that
choosing too broad or too narrow a reference class leads to
counter-intuitive results, but he is not able to prescribe an ideal
choice.
According to Jürgen Schmidhuber, the anthropic principle essentially just says that the conditional probability
of finding yourself in a universe compatible with your existence is
always one. It does not allow for any additional nontrivial predictions
such as "gravity won't change tomorrow". To gain more predictive power,
additional assumptions on the prior distribution of alternative universes are necessary.
Playwright and novelist Michael Frayn describes a form of the strong anthropic principle in his 2006 book The Human Touch, which explores what he characterises as "the central oddity of the Universe":
It's this simple paradox. The
Universe is very old and very large. Humankind, by comparison, is only a
tiny disturbance in one small corner of it--and a very recent one. Yet
the Universe is only very large and very old because we are here to say
it is... And yet, of course, we all know perfectly well that it is what
it is whether we are here or not.
Character of anthropic reasoning
Carter chose to focus on a tautological aspect of his ideas, which
has resulted in much confusion. In fact, anthropic reasoning interests
scientists because of something that is only implicit in the above
formal definitions, namely that humans should give serious consideration
to there being other universes with different values of the
"fundamental parameters"—that is, the dimensionless physical constants and initial conditions for the Big Bang.
Carter and others have argued that life would not be possible in most
such universes. In other words, the universe humans live in is fine tuned
to permit life. Collins & Hawking (1973) characterized Carter's
then-unpublished big idea as the postulate that "there is not one
universe but a whole infinite ensemble of universes with all possible
initial conditions". If this is granted, the anthropic principle provides a plausible
explanation for the fine tuning of our universe: the "typical" universe
is not fine-tuned, but given enough universes, a small fraction will be
capable of supporting intelligent life. Ours must be one of these, and
so the observed fine tuning should be no cause for wonder.
Although philosophers have discussed related concepts for
centuries, in the early 1970s the only genuine physical theory yielding a
multiverse of sorts was the many-worlds interpretation of quantum mechanics.
This would allow variation in initial conditions, but not in the truly
fundamental constants. Since that time a number of mechanisms for
producing a multiverse have been suggested: see the review by Max Tegmark. An important development in the 1980s was the combination of inflation theory with the hypothesis that some parameters are determined by symmetry breaking
in the early universe, which allows parameters previously thought of as
"fundamental constants" to vary over very large distances, thus eroding
the distinction between Carter's weak and strong principles. At the
beginning of the 21st century, the string landscape emerged as a mechanism for varying essentially all the constants, including the number of spatial dimensions.
The anthropic idea that fundamental parameters are selected from a
multitude of different possibilities (each actual in some universe or
other) contrasts with the traditional hope of physicists for a theory of everything having no free parameters. As Albert Einstein
said: "What really interests me is whether God had any choice in the
creation of the world." In 2002, some proponents of the leading
candidate for a "theory of everything", string theory, proclaimed "the end of the anthropic principle" since there would be no free parameters to select. In 2003, however, Leonard Susskind
stated: "... it seems plausible that the landscape is unimaginably
large and diverse. This is the behavior that gives credence to the
anthropic principle."
The modern form of a design argument is put forth by intelligent design. Proponents of intelligent design often cite the fine-tuning
observations that (in part) preceded the formulation of the anthropic
principle by Carter as a proof of an intelligent designer. Opponents of
intelligent design are not limited to those who hypothesize that other
universes exist; they may also argue, anti-anthropically, that the
universe is less fine-tuned than often claimed, or that accepting fine
tuning as a brute fact is less astonishing than the idea of an
intelligent creator. Furthermore, even accepting fine tuning, Sober (2005) and Ikeda and Jefferys, argue that the anthropic principle as conventionally stated actually undermines intelligent design.
Paul Davies's book The Goldilocks Enigma
(2006) reviews the current state of the fine-tuning debate in detail,
and concludes by enumerating the following responses to that debate:
The absurd universe: Our universe just happens to be the way it is.
The unique universe: There is a deep underlying unity in physics that necessitates the Universe being the way it is. A Theory of Everything will explain why the various features of the Universe must have exactly the values that have been recorded.
The multiverse: Multiple universes exist, having all possible
combinations of characteristics, and humans inevitably find themselves
within a universe that allows us to exist.
Intelligent design: A creator designed the Universe with the purpose of supporting complexity and the emergence of intelligence.
The life principle: There is an underlying principle that constrains the Universe to evolve towards life and mind.
The self-explaining universe: A closed explanatory or causal loop:
"perhaps only universes with a capacity for consciousness can exist".
This is Wheeler's participatory anthropic principle (PAP).
Omitted here is Lee Smolin's model of cosmological natural selection, also known as fecund universes, which proposes that universes have "offspring" that are more plentiful if they resemble our universe. Also see Gardner (2005).
Clearly each of these hypotheses resolve some aspects of the
puzzle, while leaving others unanswered. Followers of Carter would admit
only option 3 as an anthropic explanation, whereas 3 through 6 are
covered by different versions of Barrow and Tipler's SAP (which would
also include 7 if it is considered a variant of 4, as in Tipler 1994).
The anthropic principle, at least as Carter conceived it, can be
applied on scales much smaller than the whole universe. For example,
Carter (1983) inverted the usual line of reasoning and pointed out that when
interpreting the evolutionary record, one must take into account cosmological and astrophysical considerations. With this in mind, Carter concluded that given the best estimates of the age of the universe, the evolutionary chain culminating in Homo sapiens probably admits only one or two low probability links.
Some have argued that fine-tuning is not astonishing at all in itself,
but only from our situated point of view, which must be factored out of
the question. This argument was given in 2021 by David Chauvet in his
writings on natural law, which is linked to the question of God and
therefore to cosmology: the universe is only astonishing to those who
value life, such as the humans who arose from it. In the same way, the
number on a lottery ticket is nothing special, unless it is associated
with a sum of money, which is itself valued. Without this valorization
of life, fostered by the fact that observers spontaneously value it, the
universe's parameters are no more astonishing than a winning lottery
ticket would be to an observer for whom money holds no interest. As
Chauvet argues:
It
is arguably not surprising that those who have emerged from and are
part of a life-supporting universe value a life-supporting universe over
one that does not support life, just as someone who has emerged from
and is part of a society where money is important values drawing a
winning lottery number rather than drawing a losing number. If we
consider this, there is no longer any real reason to be astonished by
the fine-tuning of our universe, any more than there would be reason to
be astonished by the fine-tuning of a universe that harbored nothing
that seems interesting to us in one way or another.
Observational evidence
No possible observational evidence bears on Carter's WAP, as it is
merely advice to the scientist and asserts nothing debatable. The
obvious test of Barrow's SAP, which says that the universe is "required"
to support life, is to find evidence of life in universes other than
ours. Any other universe is, by most definitions, unobservable
(otherwise it would be included in our portion of this universe). Thus, in principle Barrow's SAP cannot be falsified by observing a universe in which an observer cannot exist.
Philosopher John Leslie states that the Carter SAP (with multiverse) predicts the following:
Physical theory will evolve so as to strengthen the hypothesis that early phase transitions
occur probabilistically rather than deterministically, in which case
there will be no deep physical reason for the values of fundamental
constants;
Hogan has emphasised that it would be very strange if all fundamental
constants were strictly determined, since this would leave us with no
ready explanation for apparent fine tuning. In fact, humans might have
to resort to something akin to Barrow and Tipler's SAP: there would be
no option for such a universe not to support life.
Probabilistic predictions of parameter values can be made given:
a particular multiverse with a "measure", i.e. a well defined "density of universes" (so, for parameter X, one can calculate the prior probabilityP(X0) dX that X is in the range X0 < X < X0 + dX), and
an estimate of the number of observers in each universe, N(X) (e.g., this might be taken as proportional to the number of stars in the universe).
The probability of observing value X is then proportional to N(X) P(X).
A generic feature of an analysis of this nature is that the expected
values of the fundamental physical constants should not be "over-tuned",
i.e. if there is some perfectly tuned predicted value (e.g. zero), the
observed value need be no closer to that predicted value than what is
required to make life possible. The small but finite value of the cosmological constant can be regarded as a successful prediction in this sense.
One thing that would not count as evidence for the anthropic principle is evidence that the Earth or the Solar System occupied a privileged position in the universe, in violation of the Copernican principle (for possible counterevidence to this principle, see Copernican principle), unless there was some reason to think that that position was a necessary condition for our existence as observers.
Applications of the principle
The nucleosynthesis of carbon-12
Fred Hoyle
may have invoked anthropic reasoning to predict an astrophysical
phenomenon. He is said to have reasoned, from the prevalence on Earth of
life forms whose chemistry was based on carbon-12 nuclei, that there must be an undiscovered resonance in the carbon-12 nucleus facilitating its synthesis in stellar interiors via the triple-alpha process. He then calculated the energy of this undiscovered resonance to be 7.6 million electronvolts. Willie Fowler's research group soon found this resonance, and its measured energy was close to Hoyle's prediction.
However, in 2010 Helge Kragh
argued that Hoyle did not use anthropic reasoning in making his
prediction, since he made his prediction in 1953 and anthropic reasoning
did not come into prominence until 1980. He called this an "anthropic
myth", saying that Hoyle and others made an after-the-fact connection
between carbon and life decades after the discovery of the resonance.
An investigation of the historical
circumstances of the prediction and its subsequent experimental
confirmation shows that Hoyle and his contemporaries did not associate
the level in the carbon nucleus with life at all.
Don Page criticized the entire theory of cosmic inflation as follows. He emphasized that initial conditions that made possible a thermodynamic arrow of time in a universe with a Big Bang origin, must include the assumption that at the initial singularity, the entropy of the universe was low and therefore extremely improbable. Paul Davies rebutted this criticism by invoking an inflationary version of the anthropic principle. While Davies accepted the premise that the initial state of the visible
universe (which filled a microscopic amount of space before inflating)
had to possess a very low entropy value—due to random quantum
fluctuations—to account for the observed thermodynamic arrow of time, he
deemed this fact an advantage for the theory. That the tiny patch of
space from which our observable universe grew had to be extremely
orderly, to allow the post-inflation universe to have an arrow of time,
makes it unnecessary to adopt any "ad hoc" hypotheses about the initial
entropy state, hypotheses other Big Bang theories require.
String theory
predicts a large number of possible universes, called the "backgrounds"
or "vacua". The set of these vacua is often called the "multiverse" or "anthropic landscape" or "string landscape". Leonard Susskind
has argued that the existence of a large number of vacua puts anthropic
reasoning on firm ground: only universes whose properties are such as
to allow observers to exist are observed, while a possibly much larger
set of universes lacking such properties go unnoticed.
Steven Weinberg believes the anthropic principle may be appropriated by cosmologists committed to nontheism,
and refers to that principle as a "turning point" in modern science
because applying it to the string landscape "may explain how the
constants of nature that we observe can take values suitable for life
without being fine-tuned by a benevolent creator". Others—most notably David Gross but also Luboš Motl, Peter Woit, and Lee Smolin—argue that this is not predictive. Max Tegmark, Mario Livio, and Martin Rees argue that only some aspects of a physical theory need be observable
and/or testable for the theory to be accepted, and that many
well-accepted theories are far from completely testable at present.
Zhi-Wei Wang and Samuel L. Braunstein
proved that life's existence in the universe depends on various
fundamental constants. It suggests that without a complete understanding
of these constants, one might incorrectly perceive the universe as
being intelligently designed for life. This perspective challenges the
view that our universe is unique in its ability to support life.
Dimensions of spacetime
Properties of (n + m)-dimensional spacetimes
There are two kinds of dimensions: spatial (bidirectional) and temporal (unidirectional). Let the number of spatial dimensions be N and the number of temporal dimensions be T. That N = 3 and T = 1, setting aside the compactified dimensions invoked by string theory and undetectable to date, can be explained by appealing to the physical consequences of letting N differ from 3 and T
differ from 1. The argument is often of an anthropic character and
possibly the first of its kind, albeit before the complete concept came
into vogue.
In 1920, Paul Ehrenfest showed that if there is only a single time dimension and more than three spatial dimensions, the orbit of a planet about its Sun cannot remain stable. The same is true of a star's orbit around the center of its galaxy. Ehrenfest also showed that if there are an even number of spatial dimensions, then the different parts of a wave impulse will travel at different speeds. If there are spatial dimensions, where k is a positive whole number, then wave impulses become distorted. In 1922, Hermann Weyl claimed that Maxwell's theory of electromagnetism can be expressed in terms of an action only for a four-dimensional manifold. Finally, Tangherlini showed in 1963 that when there are more than three spatial dimensions, electron orbitals around nuclei cannot be stable; electrons would either fall into the nucleus or disperse.
Max Tegmark expands on the preceding argument in the following anthropic manner. If T differs from 1, the behavior of physical systems could not be predicted reliably from knowledge of the relevant partial differential equations. In such a universe, intelligent life capable of manipulating technology could not emerge. Moreover, if T > 1, Tegmark maintains that protons and electrons
would be unstable and could decay into particles having greater mass
than themselves. (This is not a problem if the particles have a
sufficiently low temperature.) Lastly, if N < 3,
gravitation of any kind becomes problematic, and the universe would
probably be too simple to contain observers. For example, when N < 3, nerves cannot cross without intersecting. Hence anthropic and other arguments rule out all cases except N = 3 and T = 1, which describes the world around us.
On the other hand, in view of creating black holes from an ideal monatomic gas under its self-gravity, Wei-Xiang Feng showed that (3 + 1)-dimensional spacetime is the marginal dimensionality. Moreover, it is the unique dimensionality that can afford a "stable" gas sphere with a "positive" cosmological constant. However, a self-gravitating gas cannot be stably bound if the mass sphere is larger than ~1021 solar masses, due to the small positivity of the cosmological constant observed.
In 2019, James Scargill argued that complex life may be possible
with two spatial dimensions. According to Scargill, a purely scalar
theory of gravity may enable a local gravitational force, and 2D
networks may be sufficient for complex neural networks.
Metaphysical interpretations
Some of the metaphysical disputes and speculations include, for example, attempts to back Pierre Teilhard de Chardin's earlier interpretation of the universe as being Christ centered (compare Omega Point), expressing a creatio evolutiva instead the elder notion of creatio continua. From a strictly secular, humanist perspective, it allows as well to put
human beings back in the center, an anthropogenic shift in cosmology. Karl W. Giberson has laconically stated that
What emerges is the suggestion that cosmology may at last be in possession of some raw material for a postmodern creation myth.
William Sims Bainbridge disagreed with de Chardin's optimism about a
future Omega point at the end of history, arguing that logically, humans
are trapped at the Omicron point, in the middle of the Greek alphabet
rather than advancing to the end, because the universe does not need to
have any characteristics that would support our further technical
progress, if the anthropic principle merely requires it to be suitable
for our evolution to this point.
The book begins with an extensive review of many topics in the history of ideas
the authors deem relevant to the anthropic principle, because the
authors believe that principle has important antecedents in the notions
of teleology and intelligent design. They discuss the writings of Fichte, Hegel, Bergson, and Alfred North Whitehead, and the Omega Point cosmology of Teilhard de Chardin. Barrow and Tipler carefully distinguish teleological reasoning from eutaxiological
reasoning; the former asserts that order must have a consequent
purpose; the latter asserts more modestly that order must have a planned
cause. They attribute this important but nearly always overlooked
distinction to an obscure 1883 book by L. E. Hicks.
Seeing little sense in a principle requiring intelligent life to
emerge while remaining indifferent to the possibility of its eventual
extinction, Barrow and Tipler propose the final anthropic principle
(FAP): Intelligent information-processing must come into existence in
the universe, and, once it comes into existence, it will never die out.
Barrow and Tipler submit that the FAP is both a valid physical
statement and "closely connected with moral values". FAP places strong
constraints on the structure of the universe, constraints developed further in Tipler's The Physics of Immortality. One such constraint is that the universe must end in a Big Crunch, which seems unlikely in view of the tentative conclusions drawn since 1998 about dark energy, based on observations of very distant supernovas.
In his review of Barrow and Tipler, Martin Gardner
ridiculed the FAP by quoting the last two sentences of their book as
defining a completely ridiculous anthropic principle (CRAP):
At the instant the Omega Point is reached, life will have gained control of all
matter and forces not only in a single universe, but in all universes
whose existence is logically possible; life will have spread into all
spatial regions in all universes which could logically exist, and will
have stored an infinite amount of information, including all bits of knowledge that it is logically possible to know. And this is the end.
Reception and controversies
Carter has frequently expressed regret for his own choice of the word
"anthropic", because it conveys the misleading impression that the
principle involves humans in particular, to the exclusion of non-human intelligence more broadly. Others have criticised the word "principle" as being too grandiose to describe straightforward applications of selection effects.
A common criticism of Carter's SAP is that it is an easy deus ex machina
that discourages searches for physical explanations. To quote Penrose
again: "It tends to be invoked by theorists whenever they do not have a
good enough theory to explain the observed facts."
Carter's SAP and Barrow and Tipler's WAP have been dismissed as truisms or trivial tautologies—that is, statements true solely by virtue of their logical form
and not because a substantive claim is made and supported by
observation of reality. As such, they are criticized as an elaborate way
of saying, "If things were different, they would be different", which is a valid statement, but does not make a claim of some factual alternative over another.
Critics of the Barrow and Tipler SAP claim that it is neither testable nor falsifiable, and thus is not a scientific statement but rather a philosophical one. The same criticism has been leveled against the hypothesis of a multiverse, although some argue that it does make falsifiable predictions. A modified version of this
criticism is that humanity understands so little about the emergence of
life, especially intelligent life, that it is effectively impossible to
calculate the number of observers in each universe. Also, the prior
distribution of universes as a function of the fundamental constants is
easily modified to get any desired result.
Many criticisms focus on versions of the strong anthropic principle, such as Barrow and Tipler's anthropic cosmological principle, which are teleological notions that tend to describe the existence of life as a necessary prerequisite for the observable constants of physics. Similarly, Stephen Jay Gould, Michael Shermer, and others claim that the stronger versions of the anthropic principle
seem to reverse known causes and effects. Gould compared the claim that
the universe is fine-tuned for the benefit of our kind of life to saying
that sausages were made long and narrow so that they could fit into
modern hotdog buns, or saying that ships had been invented to house barnacles.These critics cite the vast physical, fossil, genetic, and other biological evidence consistent with life having been fine-tuned through natural selection
to adapt to the physical and geophysical environment in which life
exists. Life appears to have adapted to the universe, and not vice
versa.
Some applications of the anthropic principle have been criticized as an argument by lack of imagination, for tacitly assuming that carbon compounds and water are the only possible chemistry of life (sometimes called "carbon chauvinism"; see also alternative biochemistry). The range of fundamental physical constants consistent with the evolution of carbon-based life may also be wider than those who advocate a fine-tuned universe have argued. For instance, Harnik et al. propose a Weakless Universe in which the weak nuclear force is eliminated. They show that this has no significant effect on the other fundamental interactions,
provided some adjustments are made in how those interactions work.
However, if some of the fine-tuned details of our universe were
violated, that would rule out complex structures of any kind—stars, planets, galaxies, etc.
Lee Smolin
has offered a theory designed to improve on the lack of imagination
that has been ascribed to anthropic principles. He puts forth his fecund universes theory, which assumes universes have "offspring" through the creation of black holes whose offspring universes have values of physical constants that depend on those of the mother universe.
The philosophers of cosmology John Earman, Ernan McMullin, and Jesús Mosterín
contend that "in its weak version, the anthropic principle is a mere
tautology, which does not allow us to explain anything or to predict
anything that we did not already know. In its strong version, it is a
gratuitous speculation". A further criticism by Mosterín concerns the flawed "anthropic"
inference from the assumption of an infinity of worlds to the existence
of one like ours:
The suggestion that an infinity of
objects characterized by certain numbers or properties implies the
existence among them of objects with any combination of those numbers or
characteristics [...] is mistaken. An infinity does not imply at all
that any arrangement is present or repeated. [...] The assumption that
all possible worlds are realized in an infinite universe is equivalent
to the assertion that any infinite set of numbers contains all numbers
(or at least all Gödel numbers of the [defining] sequences), which is
obviously false.
In 1961, Robert Dicke noted that the age of the universe, as seen by living observers, cannot be random. Instead, biological factors constrain the universe to be more or less in a "golden age", neither too young nor too old. If the universe was one tenth as old as its present age, there would
not have been sufficient time to build up appreciable levels of metallicity (levels of elements besides hydrogen and helium) especially carbon, by nucleosynthesis.
Small rocky planets did not yet exist. If the universe were 10 times
older than it actually is, most stars would be too old to remain on the main sequence and would have turned into white dwarfs, aside from the dimmest red dwarfs,
and stable planetary systems would have already come to an end. Thus,
Dicke explained the coincidence between large dimensionless numbers
constructed from the constants of physics and the age of the universe, a
coincidence that inspired Dirac's varying-G theory.
Dicke later reasoned that the density of matter in the universe must be almost exactly the critical density needed to prevent the Big Crunch (the "Dicke coincidences" argument). The most recent measurements may suggest that the observed density of baryonic matter, and some theoretical predictions of the amount of dark matter, account for about 30% of this critical density, with the rest contributed by a cosmological constant. Steven Weinberg gave an anthropic explanation for this fact: he noted that the cosmological constant has a remarkably low value, some 120 orders of magnitude smaller than the value particle physics predicts (this has been described as the "worst prediction in physics"). However, if the cosmological constant were only several orders of
magnitude larger than its observed value, the universe would suffer
catastrophic inflation, which would preclude the formation of stars, and hence life.
The observed values of the dimensionless physical constants (such as the fine-structure constant) governing the four fundamental interactions are balanced as if fine-tuned to permit the formation of commonly found matter and subsequently the emergence of life. A slight increase in the strong interaction (up to 50% for some authors) would bind the dineutron and the diproton and convert all hydrogen in the early universe to helium; likewise, an increase in the weak interaction
also would convert all hydrogen to helium. Water, as well as
sufficiently long-lived stable stars, both essential for the emergence
of life as it is known, would not exist. More generally, small changes in the relative strengths of the four
fundamental interactions can greatly affect the universe's age,
structure, and capacity for life.
Origin
The phrase "anthropic principle" first appeared in Brandon Carter's contribution to a 1973 Krakówsymposium. Carter, a theoretical astrophysicist, articulated the anthropic principle in reaction to the Copernican principle, which states that humans do not occupy a privileged position in the Universe. Carter said: "Although our situation is not necessarily central, it is inevitably privileged to some extent." Specifically, Carter disagreed with using the Copernican principle to justify the Perfect Cosmological Principle, which states that all large regions and times in the universe must be statistically identical. The latter principle underlies the steady-state theory, which had recently been falsified by the 1965 discovery of the cosmic microwave background radiation. This discovery was unequivocal evidence that the universe has changed radically over time (for example, via the Big Bang).
Carter defined two forms of the anthropic principle, a "weak" one which referred only to anthropic selection of privileged spacetime
locations in the universe, and a more controversial "strong" form that
addressed the values of the fundamental constants of physics.
The argument can be used to explain
why the conditions happen to be just right for the existence of
(intelligent) life on the Earth at the present time. For if they were
not just right, then we should not have found ourselves to be here now,
but somewhere else, at some other appropriate time. This principle was
used very effectively by Brandon Carter and Robert Dicke
to resolve an issue that had puzzled physicists for a good many years.
The issue concerned various striking numerical relations that are
observed to hold between the physical constants (the gravitational constant, the mass of the proton, the age of the universe,
etc.). A puzzling aspect of this was that some of the relations hold
only at the present epoch in the Earth's history, so we appear,
coincidentally, to be living at a very special time (give or take a few
million years!). This was later explained, by Carter and Dicke, by the
fact that this epoch coincided with the lifetime of what are called main-sequence
stars, such as the Sun. At any other epoch, the argument ran, there
would be no intelligent life around to measure the physical constants in
question—so the coincidence had to hold, simply because there would be intelligent life around only at the particular time that the coincidence did hold!
One reason this is plausible, is that there are many other places and
times in which humans could have evolved. But when applying the strong
principle, there is only one universe, with one set of fundamental
parameters. Thus, Carter offers two possibilities: First, humans can use
their own existence to make "predictions" about the parameters. But
second, "as a last resort", humans can convert these predictions into explanations by assuming that there is more than one universe, in fact a large and possibly infinite collection of universes, something that is now called the multiverse
("world ensemble" was Carter's term), in which the parameters (and
perhaps the laws of physics) vary across universes. The strong principle
then becomes an example of a selection effect,
analogous to the weak principle. Postulating a multiverse is a radical
step that could provide at least a partial insight, seemingly out of the
reach of normal science, regarding why the fundamental laws of physics take the particular form we observe and not another.
Since Carter's 1973 paper, the term anthropic principle
has been extended to cover a number of ideas that differ in important
ways from his. Particular confusion was caused by the 1986 book The Anthropic Cosmological Principle by John D. Barrow and Frank Tipler, which distinguished between a "weak" and "strong" anthropic principle
in a way different from Carter's, as discussed in the next section.
Carter was not the first to invoke some form of the anthropic principle. The evolutionary biologistAlfred Russel Wallace
anticipated the anthropic principle as long ago as 1904: "Such a vast
and complex universe as that which we know exists around us, may have
been absolutely required [...] in order to produce a world that should
be precisely adapted in every detail for the orderly development of life
culminating in man." In 1957, Robert Dicke
wrote: "The age of the Universe 'now' is not random but conditioned by
biological factors [...] [changes in the values of the fundamental
constants of physics] would preclude the existence of man to consider
the problem."
Ludwig Boltzmann may have been one of the first in modern science to use anthropic reasoning. Prior to knowledge of the Big Bang, Boltzmann's thermodynamic concepts painted a picture of a universe that had inexplicably low entropy.
Boltzmann suggested several explanations, one of which relied on
fluctuations that could produce pockets of low entropy or Boltzmann
universes. While most of the universe is featureless in this model, to
Boltzmann, it is unremarkable that humanity happens to inhabit a
Boltzmann universe, as that is the only place that could develop and
support intelligent life.
Variants
According to Brandon Carter, the weak anthropic principle (WAP) states that "... our location in the universe is necessarily privileged to the extent of being compatible with our existence as observers." For Carter, "location" refers to our location in time and space. Carter goes on to define the strong anthropic principle (SAP) as the idea that:
The universe (and hence the fundamental parameters on which it depends) must be such as to admit the creation of observers within it at some stage. To paraphrase Descartes, cogito ergo mundus talis est.
The Latin tag (which means, "I think, therefore the world is such [as it is]") makes it clear that "must" indicates a deduction from the fact of our existence; the statement is thus a truism.
In their 1986 book, The anthropic cosmological principle, John Barrow and Frank Tipler depart from Carter and define the WAP and SAP differently. According to Barrow and Tipler, the WAP is the idea that:
The observed values of all physical and cosmological quantities are not equally probable but they take on values restricted by the requirement that there exist sites where carbon-based life can evolve and by the requirements that the universe be old enough for it to have already done so.
Unlike Carter, they restrict the principle to "carbon-based life"
rather than just "observers". A more important difference is that they
apply the WAP to the fundamental physical constants, such as the fine-structure constant, the number of spacetime dimensions, and the cosmological constant—topics that fall under Carter's SAP.
According to Barrow and Tipler, the SAP states that "the Universe
must have those properties which allow life to develop within it at
some stage in its history." While this looks very similar to Carter's SAP, the "must" is an
imperative, as shown by the following three possible elaborations of the
SAP, each proposed by Barrow and Tipler:
"There exists one possible Universe 'designed' with the goal of generating and sustaining 'observers'." This can be seen as simply the classic design argument restated in the garb of contemporary cosmology. It implies that the purpose of the universe is to give rise to intelligent life, with the laws of nature and their fundamental physical constants set to ensure that life emerges and evolves.
"Observers are necessary to bring the Universe into being." Barrow and Tipler believe that this is a valid conclusion from quantum mechanics, as John Archibald Wheeler has suggested, especially via his idea that information is the fundamental reality and his participatory anthropic principle (PAP) which is an interpretation of quantum mechanics associated with the ideas of Eugene Wigner. (See: It from bit)
"An ensemble of other different universes is necessary for the existence of our Universe." By contrast, Carter merely says that an ensemble of universes is necessary for the SAP to count as an explanation.
PhilosophersJohn Leslie and Nick Bostrom reject the Barrow and Tipler SAP as a fundamental misreading of Carter.
For Bostrom, Carter's anthropic principle just warns us to make
allowance for "anthropic bias"—that is, the bias created by anthropic selection effects (which Bostrom calls "observation" selection effects)—the necessity for observers to exist in order to get a result. He writes:
Many "anthropic principles" are
simply confused. Some, especially those drawing inspiration from Brandon
Carter's seminal papers, are sound, but... they are too weak to do any
real scientific work. In particular, I argue that existing methodology
does not permit any observational consequences to be derived from
contemporary cosmological theories, though these theories quite plainly
can be and are being tested empirically by astronomers. What is needed
to bridge this methodological gap is a more adequate formulation of how
observation selection effects are to be taken into account.
Bostrom defines a concept called the "strong self-sampling assumption"
(SSSA), the idea that "each observer-moment should reason as if it were
randomly selected from the class of all observer-moments in its
reference class." Analyzing an observer's experience into a sequence of
"observer-moments" like this helps avoid certain paradoxes, but the main
ambiguity is the selection of the appropriate "reference class". For
Carter's WAP, this might correspond to all real or potential
observer-moments in our universe. As for his SAP, this might correspond
to all in the multiverse. Bostrom's mathematical development shows that
choosing too broad or too narrow a reference class leads to
counter-intuitive results, but he is not able to prescribe an ideal
choice.
According to Jürgen Schmidhuber, the anthropic principle essentially just says that the conditional probability
of finding yourself in a universe compatible with your existence is
always one. It does not allow for any additional nontrivial predictions
such as "gravity won't change tomorrow". To gain more predictive power,
additional assumptions on the prior distribution of alternative universes are necessary.
Playwright and novelist Michael Frayn describes a form of the strong anthropic principle in his 2006 book The Human Touch, which explores what he characterises as "the central oddity of the Universe":
It's this simple paradox. The
Universe is very old and very large. Humankind, by comparison, is only a
tiny disturbance in one small corner of it--and a very recent one. Yet
the Universe is only very large and very old because we are here to say
it is... And yet, of course, we all know perfectly well that it is what
it is whether we are here or not.
Character of anthropic reasoning
Carter chose to focus on a tautological aspect of his ideas, which
has resulted in much confusion. In fact, anthropic reasoning interests
scientists because of something that is only implicit in the above
formal definitions, namely that humans should give serious consideration
to there being other universes with different values of the
"fundamental parameters"—that is, the dimensionless physical constants and initial conditions for the Big Bang.
Carter and others have argued that life would not be possible in most
such universes. In other words, the universe humans live in is fine tuned
to permit life. Collins & Hawking (1973) characterized Carter's
then-unpublished big idea as the postulate that "there is not one
universe but a whole infinite ensemble of universes with all possible
initial conditions". If this is granted, the anthropic principle provides a plausible
explanation for the fine tuning of our universe: the "typical" universe
is not fine-tuned, but given enough universes, a small fraction will be
capable of supporting intelligent life. Ours must be one of these, and
so the observed fine tuning should be no cause for wonder.
Although philosophers have discussed related concepts for
centuries, in the early 1970s the only genuine physical theory yielding a
multiverse of sorts was the many-worlds interpretation of quantum mechanics.
This would allow variation in initial conditions, but not in the truly
fundamental constants. Since that time a number of mechanisms for
producing a multiverse have been suggested: see the review by Max Tegmark. An important development in the 1980s was the combination of inflation theory with the hypothesis that some parameters are determined by symmetry breaking
in the early universe, which allows parameters previously thought of as
"fundamental constants" to vary over very large distances, thus eroding
the distinction between Carter's weak and strong principles. At the
beginning of the 21st century, the string landscape emerged as a mechanism for varying essentially all the constants, including the number of spatial dimensions.
The anthropic idea that fundamental parameters are selected from a
multitude of different possibilities (each actual in some universe or
other) contrasts with the traditional hope of physicists for a theory of everything having no free parameters. As Albert Einstein
said: "What really interests me is whether God had any choice in the
creation of the world." In 2002, some proponents of the leading
candidate for a "theory of everything", string theory, proclaimed "the end of the anthropic principle" since there would be no free parameters to select. In 2003, however, Leonard Susskind
stated: "... it seems plausible that the landscape is unimaginably
large and diverse. This is the behavior that gives credence to the
anthropic principle."
The modern form of a design argument is put forth by intelligent design. Proponents of intelligent design often cite the fine-tuning
observations that (in part) preceded the formulation of the anthropic
principle by Carter as a proof of an intelligent designer. Opponents of
intelligent design are not limited to those who hypothesize that other
universes exist; they may also argue, anti-anthropically, that the
universe is less fine-tuned than often claimed, or that accepting fine
tuning as a brute fact is less astonishing than the idea of an
intelligent creator. Furthermore, even accepting fine tuning, Sober (2005) and Ikeda and Jefferys, argue that the anthropic principle as conventionally stated actually undermines intelligent design.
Paul Davies's book The Goldilocks Enigma
(2006) reviews the current state of the fine-tuning debate in detail,
and concludes by enumerating the following responses to that debate:
The absurd universe: Our universe just happens to be the way it is.
The unique universe: There is a deep underlying unity in physics that necessitates the Universe being the way it is. A Theory of Everything will explain why the various features of the Universe must have exactly the values that have been recorded.
The multiverse: Multiple universes exist, having all possible
combinations of characteristics, and humans inevitably find themselves
within a universe that allows us to exist.
Intelligent design: A creator designed the Universe with the purpose of supporting complexity and the emergence of intelligence.
The life principle: There is an underlying principle that constrains the Universe to evolve towards life and mind.
The self-explaining universe: A closed explanatory or causal loop:
"perhaps only universes with a capacity for consciousness can exist".
This is Wheeler's participatory anthropic principle (PAP).
Omitted here is Lee Smolin's model of cosmological natural selection, also known as fecund universes, which proposes that universes have "offspring" that are more plentiful if they resemble our universe. Also see Gardner (2005).
Clearly each of these hypotheses resolve some aspects of the
puzzle, while leaving others unanswered. Followers of Carter would admit
only option 3 as an anthropic explanation, whereas 3 through 6 are
covered by different versions of Barrow and Tipler's SAP (which would
also include 7 if it is considered a variant of 4, as in Tipler 1994).
The anthropic principle, at least as Carter conceived it, can be
applied on scales much smaller than the whole universe. For example,
Carter (1983) inverted the usual line of reasoning and pointed out that when
interpreting the evolutionary record, one must take into account cosmological and astrophysical considerations. With this in mind, Carter concluded that given the best estimates of the age of the universe, the evolutionary chain culminating in Homo sapiens probably admits only one or two low probability links.
Some have argued that fine-tuning is not astonishing at all in itself,
but only from our situated point of view, which must be factored out of
the question. This argument was given in 2021 by David Chauvet in his
writings on natural law, which is linked to the question of God and
therefore to cosmology: the universe is only astonishing to those who
value life, such as the humans who arose from it. In the same way, the
number on a lottery ticket is nothing special, unless it is associated
with a sum of money, which is itself valued. Without this valorization
of life, fostered by the fact that observers spontaneously value it, the
universe's parameters are no more astonishing than a winning lottery
ticket would be to an observer for whom money holds no interest. As
Chauvet argues:
It
is arguably not surprising that those who have emerged from and are
part of a life-supporting universe value a life-supporting universe over
one that does not support life, just as someone who has emerged from
and is part of a society where money is important values drawing a
winning lottery number rather than drawing a losing number. If we
consider this, there is no longer any real reason to be astonished by
the fine-tuning of our universe, any more than there would be reason to
be astonished by the fine-tuning of a universe that harbored nothing
that seems interesting to us in one way or another.
Observational evidence
No possible observational evidence bears on Carter's WAP, as it is
merely advice to the scientist and asserts nothing debatable. The
obvious test of Barrow's SAP, which says that the universe is "required"
to support life, is to find evidence of life in universes other than
ours. Any other universe is, by most definitions, unobservable
(otherwise it would be included in our portion of this universe). Thus, in principle Barrow's SAP cannot be falsified by observing a universe in which an observer cannot exist.
Philosopher John Leslie states that the Carter SAP (with multiverse) predicts the following:
Physical theory will evolve so as to strengthen the hypothesis that early phase transitions
occur probabilistically rather than deterministically, in which case
there will be no deep physical reason for the values of fundamental
constants;
Hogan has emphasised that it would be very strange if all fundamental
constants were strictly determined, since this would leave us with no
ready explanation for apparent fine tuning. In fact, humans might have
to resort to something akin to Barrow and Tipler's SAP: there would be
no option for such a universe not to support life.
Probabilistic predictions of parameter values can be made given:
a particular multiverse with a "measure", i.e. a well defined "density of universes" (so, for parameter X, one can calculate the prior probabilityP(X0) dX that X is in the range X0 < X < X0 + dX), and
an estimate of the number of observers in each universe, N(X) (e.g., this might be taken as proportional to the number of stars in the universe).
The probability of observing value X is then proportional to N(X) P(X).
A generic feature of an analysis of this nature is that the expected
values of the fundamental physical constants should not be "over-tuned",
i.e. if there is some perfectly tuned predicted value (e.g. zero), the
observed value need be no closer to that predicted value than what is
required to make life possible. The small but finite value of the cosmological constant can be regarded as a successful prediction in this sense.
One thing that would not count as evidence for the anthropic principle is evidence that the Earth or the Solar System occupied a privileged position in the universe, in violation of the Copernican principle (for possible counterevidence to this principle, see Copernican principle), unless there was some reason to think that that position was a necessary condition for our existence as observers.
Applications of the principle
The nucleosynthesis of carbon-12
Fred Hoyle
may have invoked anthropic reasoning to predict an astrophysical
phenomenon. He is said to have reasoned, from the prevalence on Earth of
life forms whose chemistry was based on carbon-12 nuclei, that there must be an undiscovered resonance in the carbon-12 nucleus facilitating its synthesis in stellar interiors via the triple-alpha process. He then calculated the energy of this undiscovered resonance to be 7.6 million electronvolts. Willie Fowler's research group soon found this resonance, and its measured energy was close to Hoyle's prediction.
However, in 2010 Helge Kragh
argued that Hoyle did not use anthropic reasoning in making his
prediction, since he made his prediction in 1953 and anthropic reasoning
did not come into prominence until 1980. He called this an "anthropic
myth", saying that Hoyle and others made an after-the-fact connection
between carbon and life decades after the discovery of the resonance.
An investigation of the historical
circumstances of the prediction and its subsequent experimental
confirmation shows that Hoyle and his contemporaries did not associate
the level in the carbon nucleus with life at all.
Don Page criticized the entire theory of cosmic inflation as follows. He emphasized that initial conditions that made possible a thermodynamic arrow of time in a universe with a Big Bang origin, must include the assumption that at the initial singularity, the entropy of the universe was low and therefore extremely improbable. Paul Davies rebutted this criticism by invoking an inflationary version of the anthropic principle. While Davies accepted the premise that the initial state of the visible
universe (which filled a microscopic amount of space before inflating)
had to possess a very low entropy value—due to random quantum
fluctuations—to account for the observed thermodynamic arrow of time, he
deemed this fact an advantage for the theory. That the tiny patch of
space from which our observable universe grew had to be extremely
orderly, to allow the post-inflation universe to have an arrow of time,
makes it unnecessary to adopt any "ad hoc" hypotheses about the initial
entropy state, hypotheses other Big Bang theories require.
String theory
predicts a large number of possible universes, called the "backgrounds"
or "vacua". The set of these vacua is often called the "multiverse" or "anthropic landscape" or "string landscape". Leonard Susskind
has argued that the existence of a large number of vacua puts anthropic
reasoning on firm ground: only universes whose properties are such as
to allow observers to exist are observed, while a possibly much larger
set of universes lacking such properties go unnoticed.
Steven Weinberg believes the anthropic principle may be appropriated by cosmologists committed to nontheism,
and refers to that principle as a "turning point" in modern science
because applying it to the string landscape "may explain how the
constants of nature that we observe can take values suitable for life
without being fine-tuned by a benevolent creator". Others—most notably David Gross but also Luboš Motl, Peter Woit, and Lee Smolin—argue that this is not predictive. Max Tegmark, Mario Livio, and Martin Rees argue that only some aspects of a physical theory need be observable
and/or testable for the theory to be accepted, and that many
well-accepted theories are far from completely testable at present.
Zhi-Wei Wang and Samuel L. Braunstein
proved that life's existence in the universe depends on various
fundamental constants. It suggests that without a complete understanding
of these constants, one might incorrectly perceive the universe as
being intelligently designed for life. This perspective challenges the
view that our universe is unique in its ability to support life.
Dimensions of spacetime
Properties of (n + m)-dimensional spacetimes
There are two kinds of dimensions: spatial (bidirectional) and temporal (unidirectional). Let the number of spatial dimensions be N and the number of temporal dimensions be T. That N = 3 and T = 1, setting aside the compactified dimensions invoked by string theory and undetectable to date, can be explained by appealing to the physical consequences of letting N differ from 3 and T
differ from 1. The argument is often of an anthropic character and
possibly the first of its kind, albeit before the complete concept came
into vogue.
In 1920, Paul Ehrenfest showed that if there is only a single time dimension and more than three spatial dimensions, the orbit of a planet about its Sun cannot remain stable. The same is true of a star's orbit around the center of its galaxy. Ehrenfest also showed that if there are an even number of spatial dimensions, then the different parts of a wave impulse will travel at different speeds. If there are spatial dimensions, where k is a positive whole number, then wave impulses become distorted. In 1922, Hermann Weyl claimed that Maxwell's theory of electromagnetism can be expressed in terms of an action only for a four-dimensional manifold. Finally, Tangherlini showed in 1963 that when there are more than three spatial dimensions, electron orbitals around nuclei cannot be stable; electrons would either fall into the nucleus or disperse.
Max Tegmark expands on the preceding argument in the following anthropic manner. If T differs from 1, the behavior of physical systems could not be predicted reliably from knowledge of the relevant partial differential equations. In such a universe, intelligent life capable of manipulating technology could not emerge. Moreover, if T > 1, Tegmark maintains that protons and electrons
would be unstable and could decay into particles having greater mass
than themselves. (This is not a problem if the particles have a
sufficiently low temperature.) Lastly, if N < 3,
gravitation of any kind becomes problematic, and the universe would
probably be too simple to contain observers. For example, when N < 3, nerves cannot cross without intersecting. Hence anthropic and other arguments rule out all cases except N = 3 and T = 1, which describes the world around us.
On the other hand, in view of creating black holes from an ideal monatomic gas under its self-gravity, Wei-Xiang Feng showed that (3 + 1)-dimensional spacetime is the marginal dimensionality. Moreover, it is the unique dimensionality that can afford a "stable" gas sphere with a "positive" cosmological constant. However, a self-gravitating gas cannot be stably bound if the mass sphere is larger than ~1021 solar masses, due to the small positivity of the cosmological constant observed.
In 2019, James Scargill argued that complex life may be possible
with two spatial dimensions. According to Scargill, a purely scalar
theory of gravity may enable a local gravitational force, and 2D
networks may be sufficient for complex neural networks.
Metaphysical interpretations
Some of the metaphysical disputes and speculations include, for example, attempts to back Pierre Teilhard de Chardin's earlier interpretation of the universe as being Christ centered (compare Omega Point), expressing a creatio evolutiva instead the elder notion of creatio continua. From a strictly secular, humanist perspective, it allows as well to put
human beings back in the center, an anthropogenic shift in cosmology. Karl W. Giberson has laconically stated that
What emerges is the suggestion that cosmology may at last be in possession of some raw material for a postmodern creation myth.
William Sims Bainbridge disagreed with de Chardin's optimism about a
future Omega point at the end of history, arguing that logically, humans
are trapped at the Omicron point, in the middle of the Greek alphabet
rather than advancing to the end, because the universe does not need to
have any characteristics that would support our further technical
progress, if the anthropic principle merely requires it to be suitable
for our evolution to this point.
The book begins with an extensive review of many topics in the history of ideas
the authors deem relevant to the anthropic principle, because the
authors believe that principle has important antecedents in the notions
of teleology and intelligent design. They discuss the writings of Fichte, Hegel, Bergson, and Alfred North Whitehead, and the Omega Point cosmology of Teilhard de Chardin. Barrow and Tipler carefully distinguish teleological reasoning from eutaxiological
reasoning; the former asserts that order must have a consequent
purpose; the latter asserts more modestly that order must have a planned
cause. They attribute this important but nearly always overlooked
distinction to an obscure 1883 book by L. E. Hicks.
Seeing little sense in a principle requiring intelligent life to
emerge while remaining indifferent to the possibility of its eventual
extinction, Barrow and Tipler propose the final anthropic principle
(FAP): Intelligent information-processing must come into existence in
the universe, and, once it comes into existence, it will never die out.
Barrow and Tipler submit that the FAP is both a valid physical
statement and "closely connected with moral values". FAP places strong
constraints on the structure of the universe, constraints developed further in Tipler's The Physics of Immortality. One such constraint is that the universe must end in a Big Crunch, which seems unlikely in view of the tentative conclusions drawn since 1998 about dark energy, based on observations of very distant supernovas.
In his review of Barrow and Tipler, Martin Gardner
ridiculed the FAP by quoting the last two sentences of their book as
defining a completely ridiculous anthropic principle (CRAP):
At the instant the Omega Point is reached, life will have gained control of all
matter and forces not only in a single universe, but in all universes
whose existence is logically possible; life will have spread into all
spatial regions in all universes which could logically exist, and will
have stored an infinite amount of information, including all bits of knowledge that it is logically possible to know. And this is the end.
Reception and controversies
Carter has frequently expressed regret for his own choice of the word
"anthropic", because it conveys the misleading impression that the
principle involves humans in particular, to the exclusion of non-human intelligence more broadly. Others have criticised the word "principle" as being too grandiose to describe straightforward applications of selection effects.
A common criticism of Carter's SAP is that it is an easy deus ex machina
that discourages searches for physical explanations. To quote Penrose
again: "It tends to be invoked by theorists whenever they do not have a
good enough theory to explain the observed facts."
Carter's SAP and Barrow and Tipler's WAP have been dismissed as truisms or trivial tautologies—that is, statements true solely by virtue of their logical form
and not because a substantive claim is made and supported by
observation of reality. As such, they are criticized as an elaborate way
of saying, "If things were different, they would be different", which is a valid statement, but does not make a claim of some factual alternative over another.
Critics of the Barrow and Tipler SAP claim that it is neither testable nor falsifiable, and thus is not a scientific statement but rather a philosophical one. The same criticism has been leveled against the hypothesis of a multiverse, although some argue that it does make falsifiable predictions. A modified version of this
criticism is that humanity understands so little about the emergence of
life, especially intelligent life, that it is effectively impossible to
calculate the number of observers in each universe. Also, the prior
distribution of universes as a function of the fundamental constants is
easily modified to get any desired result.
Many criticisms focus on versions of the strong anthropic principle, such as Barrow and Tipler's anthropic cosmological principle, which are teleological notions that tend to describe the existence of life as a necessary prerequisite for the observable constants of physics. Similarly, Stephen Jay Gould, Michael Shermer, and others claim that the stronger versions of the anthropic principle
seem to reverse known causes and effects. Gould compared the claim that
the universe is fine-tuned for the benefit of our kind of life to saying
that sausages were made long and narrow so that they could fit into
modern hotdog buns, or saying that ships had been invented to house barnacles. These critics cite the vast physical, fossil, genetic, and other biological evidence consistent with life having been fine-tuned through natural selection
to adapt to the physical and geophysical environment in which life
exists. Life appears to have adapted to the universe, and not vice
versa.
Some applications of the anthropic principle have been criticized as an argument by lack of imagination, for tacitly assuming that carbon compounds and water are the only possible chemistry of life (sometimes called "carbon chauvinism"; see also alternative biochemistry). The range of fundamental physical constants consistent with the evolution of carbon-based life may also be wider than those who advocate a fine-tuned universe have argued. For instance, Harnik et al. propose a Weakless Universe in which the weak nuclear force is eliminated. They show that this has no significant effect on the other fundamental interactions,
provided some adjustments are made in how those interactions work.
However, if some of the fine-tuned details of our universe were
violated, that would rule out complex structures of any kind—stars, planets, galaxies, etc.
Lee Smolin
has offered a theory designed to improve on the lack of imagination
that has been ascribed to anthropic principles. He puts forth his fecund universes theory, which assumes universes have "offspring" through the creation of black holes whose offspring universes have values of physical constants that depend on those of the mother universe.
The philosophers of cosmology John Earman, Ernan McMullin, and Jesús Mosterín
contend that "in its weak version, the anthropic principle is a mere
tautology, which does not allow us to explain anything or to predict
anything that we did not already know. In its strong version, it is a
gratuitous speculation". A further criticism by Mosterín concerns the flawed "anthropic"
inference from the assumption of an infinity of worlds to the existence
of one like ours:
The suggestion that an infinity of
objects characterized by certain numbers or properties implies the
existence among them of objects with any combination of those numbers or
characteristics [...] is mistaken. An infinity does not imply at all
that any arrangement is present or repeated. [...] The assumption that
all possible worlds are realized in an infinite universe is equivalent
to the assertion that any infinite set of numbers contains all numbers
(or at least all Gödel numbers of the [defining] sequences), which is
obviously false.