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Thursday, November 14, 2019

Deistic evolution

From Wikipedia, the free encyclopedia
 
Deistic evolution is a position in the origins debate which involves accepting the scientific evidence for evolution and age of the universe whilst advocating the view that a deistic God created the universe but has not interfered since. The position is a counterpoint to theistic evolution and is endorsed by those who believe in both deism and the veracity of science.

Various views on deistic evolution

In Christian Theology, by Millard J. Erickson, 2013, is written: “deistic evolution is perhaps the best way to describe one variety of what is generally called theistic evolution.” He describes it as the belief that God “began the process of evolution, producing the first matter and implanting within the creation the laws its development has followed.” Following the establishment of this process, this Creator then “withdrew from active involvement with the world, becoming, so to speak, Creator Emeritus.”
God is the Creator, the ultimate cause, but evolution is the means, the proximate cause. Thus, except for its view of the very beginning of matter, deistic evolution is identical to naturalistic evolution, for it denies that there is any direct activity by a personal God during the ongoing creative process.
Deistic evolution has little difficulty with the scientific data. There is a definite conflict, however, between deism's view of an absentee God and the biblical picture of a God who has been involved in a whole series of creative acts. In particular, both Genesis accounts of the origin of human beings indicate that God definitely and distinctly willed and acted to bring them into existence. In addition, deistic evolution conflicts with the scriptural doctrine of providence, according to which God is personally and intimately concerned with and involved in what is going on in the specific events within his entire creation.
The psychologist Steve Stewart-Williams in his book Darwin, God and the Meaning of Life (2010) states: 


Stewart-Williams further writes that deistic evolution strips God of what most religious believers consider central. Any deistic God is not around for prayers, miracles or to intervene in people's lives and that because of this it is unpopular with monotheistic religions.

Deistic Evolution adheres to the concept of some form of God, but denies any personal God. A recent defender of deistic evolution was Michael Anthony Corey, author of the book Back to Darwin: The Scientific Case for Deistic Evolution (1994). 

Some scholars have written that Charles Darwin was an advocate of deistic evolution.

Deistic evolution is similarly the operative idea in Pandeism, which has been counted amongst the handful of spiritual beliefs which "are compatible with modern science." and specifically wherein it is noted that "pandeistic belief systems .... [present] the inclusion of God as the ever unfolding expression of a complex universe with an identifiable beginning but no teleological direction necessarily present."

Theistic predeterminism

Deistic evolution is not the same as theistic evolution, yet they are sometimes confused. The difference rests on the difference between a theistic god that is interested in, if not actively involved in, the outcome of his creation and humanity specifically and a deistic god that is either disinterested in the outcome, and holds no special place for humanity, or will not intervene. Often, there is no discernible difference between the two positions—the choice of terminology has more to do with the believer and her or his need for a god, than fitting into a mostly arbitrary dictionary or academic definition.

Criticism from Christian Creationists

Deistic evolution has been criticised by Christian creationists as being incompatible with Christianity since it contradicts a literal reading of the Bible and more importantly, leaves no role for the "Christian personal God".

M. J. Erickson wrote that deistic evolution is in conflict with the scriptural doctrine of providence according to which "God is personally and intimately concerned with and involved in what is going on in the specific events within his entire creation."

Charles P. Grannan wrote in 1894, "Another baseless assumption of negative critics is that the general principles of Atheistic and Deistic evolution, admitted by many scientists to account for the origin of the various species of plants and animals, should also be applied to explain the origin of the Christian religion."

Charles Wesley Rishell criticized the concept in 1899, comparing it to the notion (false, in his view), that gravity was a property of matter instead of a continued action of God:
If evolution is God's method of creating he is still at work. Theistic Deism and evolution is possible, but deistic evolution is a contradiction in terms. Again, it is all a mere supposition that God created the world and endowed it with forces which will of necessity work out his will. It is impossible for us to say that God put forth energy in the beginning and then ceased. It is, to say the least, as probable that gravitation is a divine force constantly exerted on matter in a certain way as that it is a divine force deposited in matter once for all.
The Roman Catholic Church disagrees with the doctrine of deistic evolution. In November 2005, Pope Benedict addressed a general audience of 25,000 in St. Peter's Square:
When the Pontiff finished his address, he put his papers to one side and commented on the thought of St. Basil the Great, a Doctor of the Church, who said that some, "deceived by the atheism they bear within them, imagined the universe deprived of a guide and order, at the mercy of chance. I believe the words of this fourth-century Father are of amazing timeliness," said Benedict XVI. "How many are these 'some' today? Deceived by atheism, they believe and try to demonstrate that it is scientific to think that everything lacks a guide and order." 

Science

Deistic evolution does not oppose or contradict evolution or come into conflict with science as it says that a God started the process and then left it to natural processes. However deism is still a religious philosophy. 

Stewart-Williams wrote regarding deistic evolution and science: 


There is considerable room for this "god of the gaps" view, since scientific observation is entirely unable to shed any light on what happened during the Planck epoch, the earliest 10−43 seconds in the history of the universe. All development since this initial creative act merely follows laws and principles which He created:
  • God created the universe, perhaps using the "big bang" about 15,000 million years ago as his method. He set up basic laws to govern the running of the universe, and then left the scene entirely. God has not been seen since. The earth coalesced about 4 or 5 thousand million years ago without any input from God. Later, elementary life forms formed, which evolved into the animals and plant life that we see today through purely natural forces. It is essentially identical to naturalistic evolution, excepts that it reserves one action for God: that of initially creating the matter of the universe. This belief is common among Deists. 
  • Although the term is rarely heard, deistic evolution is perhaps the best way to describe one variety of what is generally called theistic evolution. This is the view that God began the process of evolution, producing the first matter and implanting within the creation the laws which its devel- opment has followed. Thus, he programmed the process. Then he withdrew from active involvement with the world, becoming, so to speak, Creator emeritus. The progress of the created order is free of direct influence by God. He is the Creator of everything, but only the first living form was directly created. All the rest of God's creating has been done indirectly. God is the Creator, the ultimate cause, but evolution is the means, the proximate cause. Thus, except for its view of the very beginning of matter, deistic evolution is identical to naturalistic evolution for it denies that there is any direct activity by a personal God during the ongoing creative process.

Anthropic principle

From Wikipedia, the free encyclopedia
 
The anthropic principle is a philosophical consideration that observations of the universe must be compatible with the conscious and sapient life that observes it. Proponents of the anthropic principle reason that it explains why this universe has the age and the fundamental physical constants necessary to accommodate conscious life. As a result, they believe it is unremarkable that this universe has fundamental constants that happen to fall within the narrow range thought to be compatible with life. The strong anthropic principle (SAP), as explained by John D. Barrow and Frank Tipler, states that this is all the case because the universe is in some sense compelled to eventually have conscious and sapient life emerge within it. Some critics of the SAP argue in favor of a weak anthropic principle (WAP) similar to the one defined by Brandon Carter, which states that the universe's ostensible fine tuning is the result of selection bias (specifically survivor bias): i.e., only in a universe capable of eventually supporting life will there be living beings capable of observing and reflecting on the matter. Most often such arguments draw upon some notion of the multiverse for there to be a statistical population of universes to select from and from which selection bias (our observance of only this universe, compatible with our life) could occur.

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 take on values that are consistent with conditions for life as we know it rather than a set of values that would not be consistent with life on Earth. The anthropic principle states that this is a necessity, because if life were impossible, no living entity would be there to observe it, and thus 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 our 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. The anthropic principle is often criticized for lacking falsifiability and therefore critics of the anthropic principle may point out that the anthropic principle is a non-scientific concept, even though the weak anthropic principle, "conditions that are observed in the universe must allow the observer to exist", is "easy" to support in mathematics and philosophy, i.e. it is a tautology or truism. However, building a substantive argument based on a tautological foundation is problematic. Stronger variants of the anthropic principle are not tautologies and thus make claims considered controversial by some and that are contingent upon empirical verification.

Anthropic 'coincidences'

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 were 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 which had 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 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 we know it, 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 Kraków symposium honouring Copernicus's 500th birthday. 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. As 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 underlay 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 which addressed the values of the fundamental constants of physics.
Roger Penrose explained the weak form as follows:
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!
— The Emperor's New Mind, Chapter 10
One reason this is plausible is that there are many other places and times in which we can imagine finding ourselves. But when applying the strong principle, we only have one universe, with one set of fundamental parameters, so what exactly is the point being made? Carter offers two possibilities: First, we can use our own existence to make "predictions" about the parameters. But second, "as a last resort", we 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, exactly analogous to the weak principle. Postulating a multiverse is certainly a radical step, but taking it could provide at least a partial answer to a question which had seemed to be out of the reach of normal science: "why do 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 which differ in important ways from those he espoused. Particular confusion was caused in 1986 by the book The Anthropic Cosmological Principle by John D. Barrow and Frank Tipler, published that year which distinguished between "weak" and "strong" anthropic principle in a way very different from Carter's, as discussed in the next section.

Carter was not the first to invoke some form of the anthropic principle. In fact, the evolutionary biologist Alfred 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."

Variants

Weak anthropic principle (WAP) (Carter): "[W]e must be prepared to take account of the fact that our location in the universe is necessarily privileged to the extent of being compatible with our existence as observers." Note that for Carter, "location" refers to our location in time as well as space.
Strong anthropic principle (SAP) (Carter): "[T]he 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 ("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 as follows:

Weak anthropic principle (WAP) (Barrow and Tipler): "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.

Strong anthropic principle (SAP) (Barrow and Tipler): "The Universe must have those properties which allow life to develop within it at some stage in its history."

This looks very similar to Carter's SAP, but unlike the case with 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 as we know it will emerge and evolve.
  • "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 (see It from bit) and his Participatory anthropic principle (PAP) which is an interpretation of quantum mechanics associated with the ideas of John von Neumann and Eugene Wigner.
  • "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.
The philosophers John 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.
— Anthropic Bias, Introduction
Strong self-sampling assumption (SSSA) (Bostrom): "Each observer-moment should reason as if it were randomly selected from the class of all observer-moments in its reference class."

Analysing an observer's experience into a sequence of "observer-moments" 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; for the SAP, to all in the multiverse. Bostrom's mathematical development shows that choosing either 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 1. 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 we 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 as we know it would not be possible in most such universes. In other words, the universe we are 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 thereof 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 Einstein said: "What really interests me is whether God had any choice in the creation of the world." In 2002, 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. String theory now seems to offer no hope of predicting fundamental parameters, and now some who advocate it invoke the anthropic principle as well.

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:
  1. The absurd universe: Our universe just happens to be the way it is.
  2. The unique universe: There is a deep underlying unity in physics which necessitates the Universe being the way it is. Some Theory of Everything will explain why the various features of the Universe must have exactly the values that we see.
  3. The multiverse: Multiple universes exist, having all possible combinations of characteristics, and we inevitably find ourselves within a universe that allows us to exist.
  4. Intelligent design: A creator designed the Universe with the purpose of supporting complexity and the emergence of intelligence.
  5. The life principle: There is an underlying principle that constrains the Universe to evolve towards life and mind.
  6. 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).
  7. The fake universe: We live inside a virtual reality simulation.
Omitted here is Lee Smolin's model of cosmological natural selection, also known as "fecund universes", which proposes that universes have "offspring" which 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.

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;
  • Various theories for generating multiple universes will prove robust;
  • Evidence that the universe is fine tuned will continue to accumulate;
  • No life with a non-carbon chemistry will be discovered;
  • Mathematical studies of galaxy formation will confirm that it is sensitive to the rate of expansion of the universe.
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 we 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:
  1. a particular multiverse with a "measure", i.e. a well defined "density of universes" (so, for parameter X, one can calculate the prior probability P(X0) dX that X is in the range X0 < X < X0 + dX), and
  2. 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 atoms, 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.

Cosmic inflation

Don Page criticized the entire theory of cosmic inflation as follows. He emphasized that initial conditions which 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

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 Lubos 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.

Jürgen Schmidhuber (2000–2002) points out that Ray Solomonoff's theory of universal inductive inference and its extensions already provide a framework for maximizing our confidence in any theory, given a limited sequence of physical observations, and some prior distribution on the set of possible explanations of the universe.

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. 

The implicit notion that the dimensionality of the universe is special is first attributed to Gottfried Wilhelm Leibniz, who in the Discourse on Metaphysics suggested that the world is "the one which is at the same time the simplest in hypothesis and the richest in phenomena". Immanuel Kant argued that 3-dimensional space was a consequence of the inverse square law of universal gravitation. While Kant's argument is historically important, John D. Barrow says that it "gets the punch-line back to front: it is the three-dimensionality of space that explains why we see inverse-square force laws in Nature, not vice-versa" (Barrow 2002: 204).

In 1920, Paul Ehrenfest showed that if there is only one time dimension and greater 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 showed that Maxwell's theory of electromagnetism works only with three dimensions of space and one of time. 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.) If N < 3, gravitation of any kind becomes problematic, and the universe is probably too simple to contain observers. For example, when N < 3, nerves cannot cross without intersecting.

In general, it is not clear how physical law could function if T differed from 1. If T > 1, subatomic particles which decay after a fixed period would not behave predictably, because time-like geodesics would not be necessarily maximal. N = 1 and T = 3 has the peculiar property that the speed of light in a vacuum is a lower bound on the velocity of matter; all matter consists of tachyons.

Hence anthropic and other arguments rule out all cases except N = 3 and T = 1, which happens to describe the world around us.

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 been sort of laconic in stating that
What emerges is the suggestion that cosmology may at last be in possession of some raw material for a postmodern creation myth.

The Anthropic Cosmological Principle

A thorough extant study of the anthropic principle is the book The Anthropic Cosmological Principle by John D. Barrow, a cosmologist, and Frank J. Tipler, a cosmologist and mathematical physicist. This book sets out in detail the many known anthropic coincidences and constraints, including many found by its authors. While the book is primarily a work of theoretical astrophysics, it also touches on quantum physics, chemistry, and earth science. An entire chapter argues that Homo sapiens is, with high probability, the only intelligent species in the Milky Way.

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 which it is logically possible to know. And this is the end.

Reception and controversies

Carter has frequently regretted his own choice of the word "anthropic", because it conveys the misleading impression that the principle involves humans specifically, rather than intelligent observers in general. 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 which discourages searches for physical explanations. To quote Penrose again: "[I]t 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 (the conclusion is identical to the premise) 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 we understand 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 anthropic principles have been accused of. 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.

Wednesday, November 13, 2019

Divine Comedy

From Wikipedia, the free encyclopedia
 
Dante shown holding a copy of the Divine Comedy, next to the entrance to Hell, the seven terraces of Mount Purgatory and the city of Florence, with the spheres of Heaven above, in Michelino's fresco
 
The Divine Comedy (ItalianDivina Commedia [diˈviːna komˈmɛːdja]) is a long Italian narrative poem by Dante Alighieri, begun c. 1308 and completed in 1320, a year before his death in 1321. It is widely considered to be the pre-eminent work in Italian literature and one of the greatest works of world literature. The poem's imaginative vision of the afterlife is representative of the medieval world-view as it had developed in the Western Church by the 14th century. It helped establish the Tuscan language, in which it is written (also in most present-day Italian-market editions), as the standardized Italian language. It is divided into three parts: Inferno, Purgatorio, and Paradiso.

The narrative describes Dante's travels through Hell, Purgatory, and Paradise or Heaven, while allegorically the poem represents the soul's journey towards God. Dante draws on medieval Christian theology and philosophy, especially Thomistic philosophy derived from the Summa Theologica of Thomas Aquinas. Consequently, the Divine Comedy has been called "the Summa in verse". In Dante's work, Virgil is presented as human reason and Beatrice is presented as divine knowledge.

The work was originally simply titled Comedìa (pronounced [komeˈdiːa]; so also in the first printed edition, published in 1472), Tuscan for "Comedy", later adjusted to the modern Italian Commedia. The adjective Divina was added by Giovanni Boccaccio, and the first edition to name the poem Divina Comedia in the title was that of the Venetian humanist Lodovico Dolce, published in 1555 by Gabriele Giolito de' Ferrari.

Structure and story

The Divine Comedy is composed of 14,233 lines that are divided into three cantiche (singular cantica) – Inferno (Hell), Purgatorio (Purgatory), and Paradiso (Paradise) – each consisting of 33 cantos (Italian plural canti). An initial canto, serving as an introduction to the poem and generally considered to be part of the first cantica, brings the total number of cantos to 100. It is generally accepted, however, that the first two cantos serve as a unitary prologue to the entire epic, and that the opening two cantos of each cantica serve as prologues to each of the three cantiche.

The number three is prominent in the work (alluding to the Trinity), represented in part by the number of cantiche and their lengths. Additionally, the verse scheme used, terza rima, is hendecasyllabic (lines of eleven syllables), with the lines composing tercets according to the rhyme scheme aba, bcb, cdc, ded, ...

Written in the first person, the poem tells of Dante's journey through the three realms of the dead, lasting from the night before Good Friday to the Wednesday after Easter in the spring of 1300. The Roman poet Virgil guides him through Hell and Purgatory; Beatrice, Dante's ideal woman, guides him through Heaven. Beatrice was a Florentine woman he had met in childhood and admired from afar in the mode of the then-fashionable courtly love tradition, which is highlighted in Dante's earlier work La Vita Nuova.

The structure of the three realms follows a common numerical pattern of 9 plus 1, for a total of 10: 9 circles of the Inferno, followed by Lucifer contained at its bottom; 9 rings of Mount Purgatory, followed by the Garden of Eden crowning its summit; and the 9 celestial bodies of Paradiso, followed by the Empyrean containing the very essence of God. Within each group of 9, 7 elements correspond to a specific moral scheme, subdivided into three subcategories, while 2 others of greater particularity are added to total nine. For example, the seven deadly sins of the Catholic Church that are cleansed in Purgatory are joined by special realms for the late repentant and the excommunicated by the church. The core seven sins within Purgatory correspond to a moral scheme of love perverted, subdivided into three groups corresponding to excessive love (Lust, Gluttony, Greed), deficient love (Sloth), and malicious love (Wrath, Envy, Pride).

In central Italy's political struggle between Guelphs and Ghibellines, Dante was part of the Guelphs, who in general favored the Papacy over the Holy Roman Emperor. Florence's Guelphs split into factions around 1300 – the White Guelphs and the Black Guelphs. Dante was among the White Guelphs who were exiled in 1302 by the Lord-Mayor Cante de' Gabrielli di Gubbio, after troops under Charles of Valois entered the city, at the request of Pope Boniface VIII, who supported the Black Guelphs. This exile, which lasted the rest of Dante's life, shows its influence in many parts of the Comedy, from prophecies of Dante's exile to Dante's views of politics, to the eternal damnation of some of his opponents.

The last word in each of the three cantiche is stelle ("stars").

Inferno

Gustave Doré's engravings illustrated the Divine Comedy (1861–1868); here Charon comes to ferry souls across the river Acheron to Hell.

The poem begins on the night before Good Friday in the year 1300, "halfway along our life's path" (Nel mezzo del cammin di nostra vita). Dante is thirty-five years old, half of the biblical lifespan of 70 (Psalms 89:10, Vulgate), lost in a dark wood (understood as sin), assailed by beasts (a lion, a leopard, and a she-wolf) he cannot evade and unable to find the "straight way" (diritta via) – also translatable as "right way" – to salvation (symbolized by the sun behind the mountain). Conscious that he is ruining himself and that he is falling into a "low place" (basso loco) where the sun is silent ('l sol tace), Dante is at last rescued by Virgil, and the two of them begin their journey to the underworld. Each sin's punishment in Inferno is a contrapasso, a symbolic instance of poetic justice; for example, in Canto XX, fortune-tellers and soothsayers must walk with their heads on backwards, unable to see what is ahead, because that was what they had tried to do in life:
they had their faces twisted toward their haunches
and found it necessary to walk backward,
because they could not see ahead of them.
... and since he wanted so to see ahead,
he looks behind and walks a backward path.

Allegorically, the Inferno represents the Christian soul seeing sin for what it really is, and the three beasts represent three types of sin: the self-indulgent, the violent, and the malicious. These three types of sin also provide the three main divisions of Dante's Hell: Upper Hell, outside the city of Dis, for the four sins of indulgence (lust, gluttony, avarice, anger); Circle 7 for the sins of violence; and Circles 8 and 9 for the sins of fraud and treachery. Added to these are two unlike categories that are specifically spiritual: Limbo, in Circle 1, contains the virtuous pagans who were not sinful but were ignorant of Christ, and Circle 6 contains the heretics who contradicted the doctrine and confused the spirit of Christ. The circles number 9, with the addition of Satan completing the structure of 9 + 1 = 10.

Purgatorio

Dante gazes at Mount Purgatory in an allegorical portrait by Agnolo Bronzino, painted c. 1530
 
Having survived the depths of Hell, Dante and Virgil ascend out of the undergloom to the Mountain of Purgatory on the far side of the world. The Mountain is on an island, the only land in the Southern Hemisphere, created by the displacement of rock which resulted when Satan's fall created Hell (which Dante portrays as existing underneath Jerusalem). The mountain has seven terraces, corresponding to the seven deadly sins or "seven roots of sinfulness." The classification of sin here is more psychological than that of the Inferno, being based on motives, rather than actions. It is also drawn primarily from Christian theology, rather than from classical sources. However, Dante's illustrative examples of sin and virtue draw on classical sources as well as on the Bible and on contemporary events.

Love, a theme throughout the Divine Comedy, is particularly important for the framing of sin on the Mountain of Purgatory. While the love that flows from God is pure, it can become sinful as it flows through humanity. Humans can sin by using love towards improper or malicious ends (Wrath, Envy, Pride), or using it to proper ends but with love that is either not strong enough (Sloth) or love that is too strong (Lust, Gluttony, Greed). Below the seven purges of the soul is the Ante-Purgatory, containing the Excommunicated from the church and the Late repentant who died, often violently, before receiving rites. Thus the total comes to nine, with the addition of the Garden of Eden at the summit, equaling ten.

Allegorically, the Purgatorio represents the Christian life. Christian souls arrive escorted by an angel, singing In exitu Israel de Aegypto. In his Letter to Cangrande, Dante explains that this reference to Israel leaving Egypt refers both to the redemption of Christ and to "the conversion of the soul from the sorrow and misery of sin to the state of grace." Appropriately, therefore, it is Easter Sunday when Dante and Virgil arrive.

The Purgatorio is notable for demonstrating the medieval knowledge of a spherical Earth. During the poem, Dante discusses the different stars visible in the southern hemisphere, the altered position of the sun, and the various timezones of the Earth. At this stage it is, Dante says, sunset at Jerusalem, midnight on the River Ganges, and sunrise in Purgatory.

Paradiso

Paradiso, Canto III: Dante and Beatrice speak to Piccarda and Constance of Sicily, in a fresco by Philipp Veit.
 
After an initial ascension, Beatrice guides Dante through the nine celestial spheres of Heaven. These are concentric and spherical, as in Aristotelian and Ptolemaic cosmology. While the structures of the Inferno and Purgatorio were based on different classifications of sin, the structure of the Paradiso is based on the four cardinal virtues and the three theological virtues

The seven lowest spheres of Heaven deal solely with the cardinal virtues of Prudence, Fortitude, Justice and Temperance. The first three spheres involve a deficiency of one of the cardinal virtues – the Moon, containing the inconstant, whose vows to God waned as the moon and thus lack fortitude; Mercury, containing the ambitious, who were virtuous for glory and thus lacked justice; and Venus, containing the lovers, whose love was directed towards another than God and thus lacked Temperance. The final four incidentally are positive examples of the cardinal virtues, all led on by the Sun, containing the prudent, whose wisdom lighted the way for the other virtues, to which the others are bound (constituting a category on its own). Mars contains the men of fortitude who died in the cause of Christianity; Jupiter contains the kings of Justice; and Saturn contains the temperate, the monks who abided by the contemplative lifestyle. The seven subdivided into three are raised further by two more categories: the eighth sphere of the fixed stars that contain those who achieved the theological virtues of faith, hope and love, and represent the Church Triumphant – the total perfection of humanity, cleansed of all the sins and carrying all the virtues of heaven; and the ninth circle, or Primum Mobile (corresponding to the Geocentricism of Medieval astronomy), which contains the angels, creatures never poisoned by original sin. Topping them all is the Empyrean, which contains the essence of God, completing the 9-fold division to 10.

Dante meets and converses with several great saints of the Church, including Thomas Aquinas, Bonaventure, Saint Peter, and St. John. The Paradiso is consequently more theological in nature than the Inferno and the Purgatorio. However, Dante admits that the vision of heaven he receives is merely the one his human eyes permit him to see, and thus the vision of heaven found in the Cantos is Dante's personal vision.

The Divine Comedy finishes with Dante seeing the Triune God. In a flash of understanding that he cannot express, Dante finally understands the mystery of Christ's divinity and humanity, and his soul becomes aligned with God's love:
But already my desire and my will
were being turned like a wheel, all at one speed,
by the Love which moves the sun and the other stars.

History

Manuscripts

According to the Italian Dante Society, no original manuscript written by Dante has survived, although there are many manuscript copies from the 14th and 15th centuries – some 800 are listed on their site.

Early printed editions

Title page of the first printed edition (Foligno, 11 April 1472)
 
First edition to name the poem Divina Comedia, 1555
 
Illustration of Lucifer in the first fully illustrated print edition. Woodcut for Inferno, canto 33. Pietro di Piasi, Venice, 1491.
 
The first printed edition was published in Foligno, Italy, by Johann Numeister and Evangelista Angelini da Trevi on 11 April 1472. Of the 300 copies printed, fourteen still survive. The original printing press is on display in the Oratorio della Nunziatella in Foligno. 

Early printed editions
Date Title Place Publisher Notes
1472 La Comedia di Dante Alleghieri Foligno Johann Numeister and Evangelista Angelini da Trevi First printed edition (or editio princeps)
1477 La Commedia Venice Wendelin of Speyer
1481 Comento di Christophoro Landino fiorentino sopra la Comedia di Dante Alighieri Florence Nicolaus Laurentii With Cristoforo Landino's commentary in Italian, and some engraved illustrations by Baccio Baldini after designs by Sandro Botticelli
1491 Comento di Christophoro Landino fiorentino sopra la Comedia di Dante Alighieri Venice Pietro di Piasi First fully illustrated edition
1502 Le terze rime di Dante Venice Aldus Manutius
1506 Commedia di Dante insieme con uno diagolo circa el sito forma et misure dello inferno Florence Philippo di Giunta
1555 La Divina Comedia di Dante Venice Gabriel Giolito First use of "Divine" in title

Thematic concerns

The Divine Comedy can be described simply as an allegory: each canto, and the episodes therein, can contain many alternative meanings. Dante's allegory, however, is more complex, and, in explaining how to read the poem – see the Letter to Cangrande – he outlines other levels of meaning besides the allegory: the historical, the moral, the literal, and the anagogical

The structure of the poem is also quite complex, with mathematical and numerological patterns distributed throughout the work, particularly threes and nines, which are related to the Holy Trinity. The poem is often lauded for its particularly human qualities: Dante's skillful delineation of the characters he encounters in Hell, Purgatory, and Paradise; his bitter denunciations of Florentine and Italian politics; and his powerful poetic imagination. Dante's use of real characters, according to Dorothy Sayers in her introduction to her translation of the Inferno, allows Dante the freedom of not having to involve the reader in description, and allows him to "[make] room in his poem for the discussion of a great many subjects of the utmost importance, thus widening its range and increasing its variety."

Dante called the poem "Comedy" (the adjective "Divine" was added later, in the 16th century) because poems in the ancient world were classified as High ("Tragedy") or Low ("Comedy"). Low poems had happy endings and were written in everyday language, whereas High poems treated more serious matters and were written in an elevated style. Dante was one of the first in the Middle Ages to write of a serious subject, the Redemption of humanity, in the low and "vulgar" Italian language and not the Latin one might expect for such a serious topic. Boccaccio's account that an early version of the poem was begun by Dante in Latin is still controversial.

Scientific themes

Although the Divine Comedy is primarily a religious poem, discussing sin, virtue, and theology, Dante also discusses several elements of the science of his day (this mixture of science with poetry has received both praise and blame over the centuries). The Purgatorio repeatedly refers to the implications of a spherical Earth, such as the different stars visible in the southern hemisphere, the altered position of the sun, and the various timezones of the Earth. For example, at sunset in Purgatory it is midnight at the Ebro, dawn in Jerusalem, and noon on the River Ganges:
Just as, there where its Maker shed His blood,
the sun shed its first rays, and Ebro lay
beneath high Libra, and the ninth hour's rays

were scorching Ganges' waves; so here, the sun
stood at the point of day's departure when
God's angel – happy – showed himself to us.

Dante travels through the centre of the Earth in the Inferno, and comments on the resulting change in the direction of gravity in Canto XXXIV (lines 76–120). A little earlier (XXXIII, 102–105), he queries the existence of wind in the frozen inner circle of hell, since it has no temperature differentials.

Inevitably, given its setting, the Paradiso discusses astronomy extensively, but in the Ptolemaic sense. The Paradiso also discusses the importance of the experimental method in science, with a detailed example in lines 94–105 of Canto II:
Yet an experiment, were you to try it,
could free you from your cavil and the source
of your arts' course springs from experiment.

Taking three mirrors, place a pair of them
at equal distance from you; set the third
midway between those two, but farther back.

Then, turning toward them, at your back have placed
a light that kindles those three mirrors and
returns to you, reflected by them all.

Although the image in the farthest glass
will be of lesser size, there you will see
that it must match the brightness of the rest.

A briefer example occurs in Canto XV of the Purgatorio (lines 16–21), where Dante points out that both theory and experiment confirm that the angle of incidence is equal to the angle of reflection. Other references to science in the Paradiso include descriptions of clockwork in Canto XXIV (lines 13–18), and Thales' theorem about triangles in Canto XIII (lines 101–102). 

Galileo Galilei is known to have lectured on the Inferno, and it has been suggested that the poem may have influenced some of Galileo's own ideas regarding mechanics.

Theories of influence from Islamic philosophy

In 1919, Miguel Asín Palacios, a Spanish scholar and a Catholic priest, published La Escatología musulmana en la Divina Comedia (Islamic Eschatology in the Divine Comedy), an account of parallels between early Islamic philosophy and the Divine Comedy. Palacios argued that Dante derived many features of and episodes about the hereafter from the spiritual writings of Ibn Arabi and from the Isra and Mi'raj or night journey of Muhammad to heaven. The latter is described in the ahadith and the Kitab al Miraj (translated into Latin in 1264 or shortly before as Liber Scalae Machometi, "The Book of Muhammad's Ladder"), and has significant similarities to the Paradiso, such as a sevenfold division of Paradise, although this is not unique to the Kitab al Miraj or Islamic cosmology.

Some "superficial similarities" of the Divine Comedy to the Resalat Al-Ghufran or Epistle of Forgiveness of Al-Ma'arri have also been mentioned in this debate. The Resalat Al-Ghufran describes the journey of the poet in the realms of the afterlife and includes dialogue with people in Heaven and Hell, although, unlike the Kitab al Miraj, there is little description of these locations, and it is unlikely that Dante borrowed from this work.

Dante did, however, live in a Europe of substantial literary and philosophical contact with the Muslim world, encouraged by such factors as Averroism ("Averrois, che'l gran comento feo" Commedia, Inferno, IV, 144, meaning "Averrois, who wrote the great comment") and the patronage of Alfonso X of Castile. Of the twelve wise men Dante meets in Canto X of the Paradiso, Thomas Aquinas and, even more so, Siger of Brabant were strongly influenced by Arabic commentators on Aristotle. Medieval Christian mysticism also shared the Neoplatonic influence of Sufis such as Ibn Arabi. Philosopher Frederick Copleston argued in 1950 that Dante's respectful treatment of Averroes, Avicenna, and Siger of Brabant indicates his acknowledgement of a "considerable debt" to Islamic philosophy.

Although this philosophical influence is generally acknowledged, many scholars have not been satisfied that Dante was influenced by the Kitab al Miraj. The 20th century Orientalist Francesco Gabrieli expressed skepticism regarding the claimed similarities, and the lack of evidence of a vehicle through which it could have been transmitted to Dante. Even so, while dismissing the probability of some influences posited in Palacios' work, Gabrieli conceded that it was "at least possible, if not probable, that Dante may have known the Liber Scalae and have taken from it certain images and concepts of Muslim eschatology". Shortly before her death, the Italian philologist Maria Corti pointed out that, during his stay at the court of Alfonso X, Dante's mentor Brunetto Latini met Bonaventura de Siena, a Tuscan who had translated the Kitab al Miraj from Arabic into Latin. Corti speculates that Brunetto may have provided a copy of that work to Dante. René Guénon, a Sufi convert and scholar of Ibn Arabi, rejected in The Esoterism of Dante the theory of his influence (direct or indirect) on Dante. Palacios' theory that Dante was influenced by Ibn Arabi was satirized by the Turkish academic Orhan Pamuk in his novel The Black Book.

Literary influence in the English-speaking world and beyond

A detail from one of Sandro Botticelli's illustrations for Inferno, Canto XVIII, 1480s. Silverpoint on parchment, completed in pen and ink.
 
The Divine Comedy was not always as well-regarded as it is today. Although recognized as a masterpiece in the centuries immediately following its publication, the work was largely ignored during the Enlightenment, with some notable exceptions such as Vittorio Alfieri; Antoine de Rivarol, who translated the Inferno into French; and Giambattista Vico, who in the Scienza nuova and in the Giudizio su Dante inaugurated what would later become the romantic reappraisal of Dante, juxtaposing him to Homer. The Comedy was "rediscovered" in the English-speaking world by William Blake – who illustrated several passages of the epic – and the Romantic writers of the 19th century. Later authors such as T. S. Eliot, Ezra Pound, Samuel Beckett, C. S. Lewis and James Joyce have drawn on it for inspiration. The poet Henry Wadsworth Longfellow was its first American translator, and modern poets, including Seamus Heaney, Robert Pinsky, John Ciardi, W. S. Merwin, and Stanley Lombardo, have also produced translations of all or parts of the book. In Russia, beyond Pushkin's translation of a few tercets, Osip Mandelstam's late poetry has been said to bear the mark of a "tormented meditation" on the Comedy. In 1934, Mandelstam gave a modern reading of the poem in his labyrinthine "Conversation on Dante". In T. S. Eliot's estimation, "Dante and Shakespeare divide the world between them. There is no third." For Jorge Luis Borges the Divine Comedy was "the best book literature has achieved".

English translations

New English translations of the Divine Comedy continue to be published regularly. Notable English translations of the complete poem include the following.

Year Translator Notes
1805–1814 Henry Francis Cary An older translation, widely available online.
1867 Henry Wadsworth Longfellow Unrhymed terzines. The first U.S. translation, raising American interest in the poem. It is still widely available, including online.
1891–1892 Charles Eliot Norton Prose translation used by Great Books of the Western World. Available online at Project Gutenberg.
1933–1943 Laurence Binyon Terza rima. Translated with assistance from Ezra Pound
1949–1962 Dorothy L. Sayers Translated for Penguin Classics, intended for a wider audience, and completed by Barbara Reynolds.
1969 Thomas G. Bergin Cast in blank verse with illustrations by Leonard Baskin.[65]
1954–1970 John Ciardi His Inferno was recorded and released by Folkways Records in 1954.
1970–1991 Charles S. Singleton Literal prose version with extensive commentary; 6 vols.
1981 C. H. Sisson Available in Oxford World's Classics.
1980–1984 Allen Mandelbaum Available online.
1967–2002 Mark Musa An alternative Penguin Classics version.
2000–2007 Robert and Jean Hollander Online as part of the Princeton Dante Project.
2002–2004 Anthony M. Esolen Modern Library Classics edition.
2006–2007 Robin Kirkpatrick A third Penguin Classics version, replacing Musa's.
2010 Burton Raffel A Northwestern World Classics version.
2013 Clive James A poetic version in quatrains.

A number of other translators, such as Robert Pinsky, have translated the Inferno only.

In the arts

Rodin's The Kiss represents Paolo and Francesca from the Inferno.

The Divine Comedy has been a source of inspiration for countless artists for almost seven centuries. There are many references to Dante's work in literature. In music, Franz Liszt was one of many composers to write works based on the Divine Comedy. In sculpture, the work of Auguste Rodin includes themes from Dante, and many visual artists have illustrated Dante's work, as shown by the examples above. There have also been many references to the Divine Comedy in cinema, television, digital arts, comics and video games.

Representation of a Lie group

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