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Friday, May 28, 2021

Watchmaker analogy

From Wikipedia, the free encyclopedia

The watchmaker analogy or watchmaker argument is a teleological argument which states, by way of an analogy, that a design implies a designer, especially intelligent design an intelligent designer, i.e. a creator deity. The analogy has played a prominent role in natural theology and the "argument from design," where it was used to support arguments for the existence of God and for the intelligent design of the universe, in both Christianity and Deism.

Sir Isaac Newton, among other leaders in the scientific revolution, including René Descartes, upheld "that the physical laws he had uncovered revealed the mechanical perfection of the workings of the universe to be akin to a watch, wherein the watchmaker is God."

The 1859 publication of Charles Darwin's theory of natural selection put forward an explanation for complexity and adaptation, which reflects scientific consensus on the origins of biological diversity. This provides a counter-argument to the watchmaker analogy: for example, the evolutionary biologist Richard Dawkins referred to the analogy in his 1986 book The Blind Watchmaker giving his explanation of evolution. Others, however, consider the watchmaker analogy to be compatible with evolutionary creation, opining that the two concepts are not mutually exclusive. In the 19th century, deists, who championed the watchmaker analogy, held that Darwin's theory fit with "the principle of uniformitarianism—the idea that all processes in the world occur now as they have in the past" and that deistic evolution "provided an explanatory framework for understanding species variation in a mechanical universe."

In the United States, starting in the 1960s, creationists revived versions of the argument to dispute the concepts of evolution and natural selection, and there was renewed interest in the watchmaker argument. The most famous statement of this teleological argument using the watchmaker analogy was given by William Paley in his 1802 book Natural Theology or Evidences of the Existence and Attributes of the Deity.

History

Scientific revolution

The scientific revolution "nurtured a growing awareness" that "there were universal laws of nature at work that ordered the movement of the world and its parts." Amos Yong writes that in "astronomy, the Copernican revolution regarding the heliocentrism of the solar system, Johannes Kepler's (1571–1630) three laws of planetary motion, and Isaac Newton's (1642–1727) law of universal gravitation—laws of gravitation and of motion, and notions of absolute space and time—all combined to establish the regularities of heavenly and earthly bodies". Simultaneously, the development of machine technology and the emergence of the mechanical philosophy encouraged mechanical imagery unlikely to have come to the fore in previous ages. With such a backdrop, "deists suggested the watchmaker analogy: just as watches are set in motion by watchmakers, after which they operate according to their pre-established mechanisms, so also was the world begun by the God as creator, after which it and all its parts have operated according to their pre-established natural laws. With these laws perfectly in place, events have unfolded according to the prescribed plan." For Sir Isaac Newton, "the regular motion of the planets made it reasonable to believe in the continued existence of God". Newton also upheld the idea that "like a watchmaker, God was forced to intervene in the universe and tinker with the mechanism from time to time to ensure that it continued operating in good working order". Similar to Newton, René Descartes (1596–1650) speculated on "the cosmos as a great time machine operating according to fixed laws, a watch created and wound up by the great watchmaker".

William Paley

Watches and timepieces have been used as examples of complicated technology in philosophical discussions. For example, Cicero, Voltaire and René Descartes all used timepieces in arguments regarding purpose. The watchmaker analogy, as described here, was used by Bernard le Bovier de Fontenelle in 1686, but was most famously formulated by Paley.

Paley used the watchmaker analogy in his book Natural Theology, or Evidences of the Existence and Attributes of the Deity collected from the Appearances of Nature, published in 1802. In it, Paley wrote that if a pocket watch is found on a heath, it is most reasonable to assume that someone dropped it and that it was made by at least one watchmaker, not by natural forces:

In crossing a heath, suppose I pitched my foot against a stone, and were asked how the stone came to be there; I might possibly answer, that, for anything I knew to the contrary, it had lain there forever: nor would it perhaps be very easy to show the absurdity of this answer. But suppose I had found a watch upon the ground, and it should be inquired how the watch happened to be in that place; I should hardly think of the answer I had before given, that for anything I knew, the watch might have always been there. ... There must have existed, at some time, and at some place or other, an artificer or artificers, who formed [the watch] for the purpose which we find it actually to answer; who comprehended its construction, and designed its use. ... Every indication of contrivance, every manifestation of design, which existed in the watch, exists in the works of nature; with the difference, on the side of nature, of being greater or more, and that in a degree which exceeds all computation.

— William Paley, Natural Theology (1802)

Paley went on to argue that the complex structures of living things and the remarkable adaptations of plants and animals required an intelligent designer. He believed the natural world was the creation of God and showed the nature of the creator. According to Paley, God had carefully designed "even the most humble and insignificant organisms" and all of their minute features (such as the wings and antennae of earwigs). He believed, therefore, that God must care even more for humanity.

Paley recognised that there is great suffering in nature and nature appears to be indifferent to pain. His way of reconciling that with his belief in a benevolent God was to assume that life had more pleasure than pain.

As a side note, a charge of wholesale plagiarism from this book was brought against Paley in The Athenaeum for 1848, but the famous illustration of the watch was not peculiar to Nieuwentyt and had been used by many others before either Paley or Nieuwentyt. But the charge of plagiarism was based on more similarities. For example, Niewentyt wrote "in the middle of a Sandy down, or in a desart {sic} and solitary Place, where few People are used to pass, any one should find a Watch ..." 

Joseph Butler

William Paley taught the works of Joseph Butler and appears to have built on Butler's 1736 design arguments of inferring a designer from evidence of design. Butler noted: "As the manifold Appearances of Design and of final Causes, in the Constitution of the World, prove it to be the Work of an intelligent Mind ... The appearances of Design and of final Causes in the constitution of nature as really prove this acting agent to be an intelligent Designer... ten thousand Instances of Design, cannot but prove a Designer."

Jean-Jacques Rousseau

Rousseau also mentioned the watchmaker theory. He wrote the following in his 1762 book, Emile:

I am like a man who sees the works of a watch for the first time; he is never weary of admiring the mechanism, though he does not know the use of the instrument and has never seen its face. I do not know what this is for, says he, but I see that each part of it is fitted to the rest, I admire the workman in the details of his work, and I am quite certain that all these wheels only work together in this fashion for some common end which I cannot perceive. Let us compare the special ends, the means, the ordered relations of every kind, then let us listen to the inner voice of feeling; what healthy mind can reject its evidence? Unless the eyes are blinded by prejudices, can they fail to see that the visible order of the universe proclaims a supreme intelligence? What sophisms must be brought together before we fail to understand the harmony of existence and the wonderful co-operation of every part for the maintenance of the rest?

Criticism

David Hume

Before Paley published his book, David Hume (1711–1776) had already put forward a number of philosophical criticisms of the watch analogy, and to some extent anticipated the concept of natural selection. His criticisms can be separated into three major distinctions:

His first objection is that we have no experience of world-making. Hume highlighted the fact that everything we claim to know the cause of, we have derived the inductions from previous experiences of similar objects being created or seen the object itself being created ourselves. For example, with a watch, we know it has to be created by a watch-maker because we can observe it being made and compare it to the making of other similar watches or objects to deduce they have alike causes in their creation. However, he argues that we have no experience of the universe's creation or any other universe's creations to compare our own universe to and never will; therefore, it would be illogical to infer that our universe has been created by an intelligent designer in the same way that a watch has.

The second criticism that Hume offers is about the form of the argument as an analogy in itself. An analogical argument claims that because object X (a watch) is like object Y (the universe) in one respect, both are therefore probably alike in another, hidden, respect (their cause, having to be created by an intelligent designer). He points out that for an argument from analogy to be successful, the two things that are being compared have to have an adequate number of similarities that are relevant to the respect that are analogised. For example, a kitten and a lion may be very similar in many respects, but just because a lion makes a "roar", it would not be correct to infer a kitten also "roars": the similarities between the two objects being not enough and the degree of relevance to what sound they make being not relevant enough. Hume then argues that the universe and a watch also do not have enough relevant or close similarities to infer that they were both created the same way. For example, the universe is made of organic natural material, but the watch is made of artificial mechanic materials. He claims that in the same respect, the universe could be argued to be more analogous to something more organic such as a vegetable (which we can observe for ourselves does not need a 'designer' or a 'watchmaker' to be created). Although he admits the analogy of a universe to a vegetable to seem ridiculous, he says that it is just as ridiculous to analogize the universe with a watch.

The third criticism that Hume offers is that even if the argument did give evidence for a designer; it still gives no evidence for the traditional 'omnipotent', 'benevolent' (all-powerful and all-loving) God of traditional Christian theism. One of the main assumptions of Paley's argument is that 'like effects have like causes'; or that machines (like the watch) and the universe have similar features of design and so both also have the same cause of their existence: they must both have an intelligent designer. However, Hume points out that what Paley does not comprehend is to what extent 'like causes' extend: how similar the creation of a universe is to the creation of a watch. Instead, Paley moves straight to the conclusion that this designer of the universe is the 'God' he believes in of traditional Christianity. Hume, however takes the idea of 'like causes' and points out some potential absurdities in how far the 'likeness' of these causes could extend to if the argument were taken further as to explain this. One example that he uses is how a machine or a watch is usually designed by a whole team of people rather than just one person. Surely, if we are analogizing the two in this way, it would point to there being a group of gods who created the universe, not just a single being. Another example he uses is that complex machines are usually the result of many years of trial and error with every new machine being an improved version of the last. Also by analogy of the two, would that not hint that the universe could also have been just one of many of God's 'trials' and that there are much better universes out there? However, if that were taken to be true, surely the 'creator' of it all would not be 'all loving' and 'all powerful' if they had to carry out the process of 'trial and error' when creating the universe?

Hume also points out there is still a possibility that the universe could have been created by random chance but still show evidence of design as the universe is eternal and would have an infinite amount of time to be able to form a universe so complex and ordered as our own. He called that the 'Epicurean hypothesis'. It argued that when the universe was first created, the universe was random and chaotic, but if the universe is eternal, over an unlimited period of time, natural forces could have naturally 'evolved' by random particles coming together over time into the incredibly ordered system we can observe today without the need of an intelligent designer as an explanation.

The last objection that he makes draws on the widely discussed problem of evil. He argues that all the daily unnecessary suffering that goes on everywhere within the world is yet another factor that pulls away from the idea that God is an 'omnipotent' 'benevolent' being.

Charles Darwin

Charles Darwin's theory provided another explanation.

When Darwin completed his studies of theology at Christ's College, Cambridge in 1831, he read Paley's Natural Theology and believed that the work gave rational proof of the existence of God. That was because living beings showed complexity and were exquisitely fitted to their places in a happy world.

Subsequently, on the voyage of the Beagle, Darwin found that nature was not so beneficent, and the distribution of species did not support ideas of divine creation. In 1838, shortly after his return, Darwin conceived his theory that natural selection, rather than divine design, was the best explanation for gradual change in populations over many generations. He published the theory in On the Origin of Species in 1859, and in later editions, he noted responses that he had received:

It can hardly be supposed that a false theory would explain, in so satisfactory a manner as does the theory of natural selection, the several large classes of facts above specified. It has recently been objected that this is an unsafe method of arguing; but it is a method used in judging of the common events of life, and has often been used by the greatest natural philosophers ... I see no good reason why the views given in this volume should shock the religious feelings of any one. It is satisfactory, as showing how transient such impressions are, to remember that the greatest discovery ever made by man, namely, the law of the attraction of gravity, was also attacked by Leibnitz, "as subversive of natural, and inferentially of revealed, religion." A celebrated author and divine has written to me that "he has gradually learnt to see that it is just as noble a conception of the Deity to believe that He created a few original forms capable of self-development into other and needful forms, as to believe that He required a fresh act of creation to supply the voids caused by the action of His laws."

— Charles Darwin, The Origin of Species (1859)

Darwin reviewed the implications of this finding in his autobiography:

Although I did not think much about the existence of a personal God until a considerably later period of my life, I will here give the vague conclusions to which I have been driven. The old argument of design in nature, as given by Paley, which formerly seemed to me so conclusive, fails, now that the law of natural selection has been discovered. We can no longer argue that, for instance, the beautiful hinge of a bivalve shell must have been made by an intelligent being, like the hinge of a door by man. There seems to be no more design in the variability of organic beings and in the action of natural selection, than in the course which the wind blows. Everything in nature is the result of fixed laws.

— Charles Darwin, The Autobiography of Charles Darwin 1809–1882. With the original omissions restored.

The idea that nature was governed by laws was already common, and in 1833, William Whewell as a proponent of the natural theology that Paley had inspired had written that "with regard to the material world, we can at least go so far as this—we can perceive that events are brought about not by insulated interpositions of Divine power, exerted in each particular case, but by the establishment of general laws." Darwin, who spoke of the "fixed laws" concurred with Whewell, writing in his second edition of On The Origin of Species:

There is grandeur in this view of life, with its several powers, having been originally breathed by the Creator into a few forms or into one; and that, whilst this planet has gone cycling on according to the fixed law of gravity, from so simple a beginning endless forms most beautiful and most wonderful have been, and are being, evolved.

— Charles Darwin, The Origin of Species (1860)

By the time that Darwin published his theory, theologians of liberal Christianity were already supporting such ideas, and by the late 19th century, their modernist approach was predominant in theology. In science, evolution theory incorporating Darwin's natural selection became completely accepted.

Richard Dawkins

Richard Dawkins

In The Blind Watchmaker, Richard Dawkins argues that the watch analogy conflates the complexity that arises from living organisms that are able to reproduce themselves (and may become more complex over time) with the complexity of inanimate objects, unable to pass on any reproductive changes (such as the multitude of parts manufactured in a watch). The comparison breaks down because of this important distinction.

In a BBC Horizon episode, also entitled The Blind Watchmaker, Dawkins described Paley's argument as being "as mistaken as it is elegant". In both contexts, he saw Paley as having made an incorrect proposal as to a certain problem's solution, but Dawkins did not disrespect him. In his essay The Big Bang, Steven Pinker discusses Dawkins's coverage of Paley's argument, adding: "Biologists today do not disagree with Paley's laying out of the problem. They disagree only with his solution."

In his book The God Delusion, Dawkins argues that life was the result of complex biological processes. He makes the argument that the comparison to the lucky construction of a watch is fallacious because proponents of evolution do not consider evolution "lucky". Rather than luck, the evolution of human life is the result of billions of years of natural selection. He concludes that evolution is a fair contestant to replace God in the role of watchmaker.

In addition, he argues that the watchmaker's creation of the watch implies that the watchmaker must be more complex than the watch. Design is top-down, someone or something more complex designs something less complex. To follow the line upwards demands that the watch was designed by a (necessarily more complex) watchmaker, the watchmaker must have been created by a more complex being than himself. So the question becomes who designed the designer? Dawkins argues that (a) this line continues ad infinitum, and (b) it does not explain anything.

Evolution, on the other hand, takes a bottom-up approach; it explains how more complexity can arise gradually by building on or combining lesser complexity.

In response to such claims, Nathan Schneider writes, "Paley died decades before The Origin of Species was published, and ever since his views have been so repeatedly set in opposition to Darwin's that Richard Dawkins titled one of his books on evolution The Blind Watchmaker. A closer look at Paley's own thinking reveals, however, a God who works through the laws of nature, not beyond them like the modern ID theorists' designer. Paley had no objection to species changing over time. It's only in today's highly polarized culture-war climate that we don't bother to notice that one of the forefathers of intelligent design theory might have been perfectly comfortable with evolution."

Richerson and Boyd

Biologist Peter Richerson and anthropologist Robert Boyd offer an oblique criticism by arguing that watches were not "hopeful monsters created by single inventors," but were created by watchmakers building up their skills in a cumulative fashion over time, each contributing to a watch-making tradition from which any individual watchmaker draws their designs.

Contemporary usage

In the early 20th century, the modernist theology of higher criticism was contested in the United States by Biblical literalists, who campaigned successfully against the teaching of evolution and began calling themselves creationists in the 1920s. When teaching of evolution was reintroduced into public schools in the 1960s, they adopted what they called creation science that had a central concept of design in similar terms to Paley's argument. That idea was then relabeled intelligent design, which presents the same analogy as an argument against evolution by natural selection without explicitly stating that the "intelligent designer" was God. The argument from the complexity of biological organisms was now presented as the irreducible complexity argument, the most notable proponent of which was Michael Behe, and, leveraging off the verbiage of information theory, the specified complexity argument, the most notable proponent of which was William Dembski.

The watchmaker analogy was referenced in the 2005 Kitzmiller v. Dover Area School District trial. Throughout the trial, Paley was mentioned several times. The defense's expert witness John Haught noted that both Intelligent Design and the watchmaker analogy are "reformulations" of the same theological argument. On day 21 of the trial, Mr. Harvey walked Dr. Minnich through a modernized version of Paley's argument, substituting a cell phone for the watch. In his ruling, the judge stated that the use of the argument from design by intelligent design proponents "is merely a restatement of the Reverend William Paley's argument applied at the cell level," adding "Minnich, Behe, and Paley reach the same conclusion, that complex organisms must have been designed using the same reasoning, except that Professors Behe and Minnich refuse to identify the designer, whereas Paley inferred from the presence of design that it was God." The judge ruled that such an inductive argument is not accepted as science because it is unfalsifiable.

Infinite regress

From Wikipedia, the free encyclopedia
https://en.wikipedia.org/wiki/Infinite_regress

An infinite regress is an infinite series of entities governed by a recursive principle that determines how each entity in the series depends on or is produced by its predecessor. In the epistemic regress, for example, a belief is justified because it is based on another belief that is justified. But this other belief is itself in need of one more justified belief for itself to be justified and so on. An infinite regress argument is an argument against a theory based on the fact that this theory leads to an infinite regress. For such an argument to be successful, it has to demonstrate not just that the theory in question entails an infinite regress but also that this regress is vicious. There are different ways how a regress can be vicious. The most serious form of viciousness involves a contradiction in the form of metaphysical impossibility. Other forms occur when the infinite regress is responsible for the theory in question being implausible or for its failure to solve the problem it was formulated to solve. Traditionally, it was often assumed without much argument that each infinite regress is vicious but this assumption has been put into question in contemporary philosophy. While some philosophers have explicitly defended theories with infinite regresses, the more common strategy has been to reformulate the theory in question in a way that avoids the regress. One such strategy is foundationalism, which posits that there is a first element in the series from which all the other elements arise but which is not itself explained this way. Another way is coherentism, which is based on a holistic explanation that usually sees the entities in question not as a linear series but as an interconnected network. Infinite regress arguments have been made in various areas of philosophy. Famous examples include the cosmological argument, Bradley's regress and regress arguments in epistemology.

Definition

An infinite regress is an infinite series of entities governed by a recursive principle that determines how each entity in the series depends on or is produced by its predecessor. This principle can often be expressed in the following form: X is F because X stands in R to Y and Y is F. X and Y stand for objects, R stands for a relation and F stands for a property in the widest sense. In the epistemic regress, for example, a belief is justified because it is based on another belief that is justified. But this other belief is itself in need of one more justified belief for itself to be justified and so on. Or in the cosmological argument, an event occurred because it was caused by another event that occurred before it, which was itself caused by a previous event, and so on. This principle by itself is not sufficient: it does not lead to a regress if there is no X that is F. This is why an additional triggering condition has to be fulfilled: there has to be an X that is F for the regress to get started. So the regress starts with the fact that X is F. According to the recursive principle, this is only possible if there is a distinct Y that is also F. But in order to account for the fact that Y is F, we need to posit a Z that is F and so on. Once the regress has started, there is no way of stopping it since a new entity has to be introduced at each step in order to make the previous step possible.

An infinite regress argument is an argument against a theory based on the fact that this theory leads to an infinite regress. For such an argument to be successful, it has to demonstrate not just that the theory in question entails an infinite regress but also that this regress is vicious. The mere existence of an infinite regress by itself is not a proof for anything. So in addition to connecting the theory to a recursive principle paired with a triggering condition, the argument has to show in which way the resulting regress is vicious. For example, one form of evidentialism in epistemology holds that a belief is only justified if it is based on another belief that is justified. An opponent of this theory could use an infinite regress argument by demonstrating (1) that this theory leads to an infinite regress (e.g. by pointing out the recursive principle and the triggering condition) and (2) that this infinite regress is vicious (e.g. by showing that it is implausible given the limitations of the human mind). In this example, the argument has a negative form since it only denies that another theory is true. But it can also be used in a positive form to support a theory by showing that its alternative involves a vicious regress. This is how the cosmological argument for the existence of God works: it claims that positing God's existence is necessary in order to avoid an infinite regress of causes.

Viciousness

For an infinite regress argument to be successful, it has to show that the involved regress is vicious. A non-vicious regress is called virtuous or benign. Traditionally, it was often assumed without much argument that each infinite regress is vicious but this assumption has been put into question in contemporary philosophy. In most cases, it is not self-evident whether an infinite regress is vicious or not. The truth regress constitutes an example of an infinite regress that is not vicious: if the proposition "P" is true, then the proposition that "It is true that P" is also true and so on. Infinite regresses pose a problem mostly if the regress concerns concrete objects. Abstract objects, on the other hand, are often considered to be unproblematic in this respect. For example, the truth-regress leads to an infinite number of true propositions or the Peano axioms entail the existence of infinitely many natural numbers. But these regresses are usually not held against the theories that entail them.

There are different ways how a regress can be vicious. The most serious type of viciousness involves a contradiction in the form of metaphysical impossibility. Other types occur when the infinite regress is responsible for the theory in question being implausible or for its failure to solve the problem it was formulated to solve. The vice of an infinite regress can be local if it causes problems only for certain theories when combined with other assumptions, or global otherwise. For example, an otherwise virtuous regress is locally vicious for a theory that posits a finite domain. In some cases, an infinite regress is not itself the source of the problem but merely indicates a different underlying problem.

Impossibility

Infinite regresses that involve metaphysical impossibility are the most serious cases of viciousness. The easiest way to arrive at this result is by accepting the assumption that actual infinities are impossible, thereby directly leading to a contradiction. This anti-infinitists position is opposed to infinity in general, not just specifically to infinite regresses. But it is open to defenders of the theory in question to deny this outright prohibition on actual infinities. For example, it has been argued that only certain types of infinities are problematic in this way, like infinite intensive magnitudes (e.g. infinite energy densities). But other types of infinities, like infinite cardinality (e.g. infinitely many causes) or infinite extensive magnitude (e.g. the duration of the universe's history) are unproblematic from the point of view of metaphysical impossibility. While there may be some instances of viciousness due to metaphysical impossibility, most vicious regresses are problematic because of other reasons.

Implausibility

A more common form of viciousness arises from the implausibility of the infinite regress in question. This category often applies to theories about human actions, states or capacities. This argument is weaker than the argument from impossibility since it allows that the regress in question is possible. It only denies that it is actual. For example, it seems implausible due to the limitations of the human mind that there are justified beliefs if this entails that the agent needs to have an infinite amount of them. But this is not metaphysically impossible, e.g. if it is assumed that the infinite number of beliefs are only non-occurrent or dispositional while the limitation only applies to the number of beliefs one is actually thinking about at one moment. Another reason for the implausibility of theories involving an infinite regress is due to the principle known as Ockham's razor, which posits that we should avoid ontological extravagance by not multiplying entities without necessity. Considerations of parsimony are complicated by the distinction between quantitative and qualitative parsimony: concerning how many entities are posited in contrast to how many kinds of entities are posited. For example, the cosmological argument for the existence of God promises to increase quantitative parsimony by positing that there is one first cause instead of allowing an infinite chain of events. But it does so by decreasing qualitative parsimony: it posits God as a new type of entity.

Failure to explain

Another form of viciousness applies not to the infinite regress by itself but to it in relation to the explanatory goals of a theory. Theories are often formulated with the goal of solving a specific problem, e.g. of answering the question why a certain type of entity exists. One way how such an attempt can fail is if the answer to the question already assumes in disguised form what it was supposed to explain. This is akin to the informal fallacy of begging the question. From the perspective of a mythological world view, for example, one way to explain why the earth seems to be at rest instead of falling down is to hold that it rests on the back of a giant turtle. In order to explain why the turtle itself is not in free fall, another even bigger turtle is posited and so on, resulting in a world that is turtles all the way down. Despite its shortcomings in clashing with modern physics and due to its ontological extravagance, this theory seems to be metaphysically possible assuming that space is infinite. One way to assess the viciousness of this regress is to distinguish between local and global explanations. A local explanation is only interested in explaining why one thing has a certain property through reference to another thing without trying to explain this other thing as well. A global explanation, on the other hand, tries to explain why there are any things with this property at all. So as a local explanation, the regress in the turtle theory is benign: it succeeds in explaining why the earth is not falling. But as a global explanation, it fails because it has to assume rather than explain at each step that there is another thing that is not falling. It does not explain why nothing at all is falling.

It has been argued that infinite regresses can be benign under certain circumstances despite aiming at global explanation. This line of thought rests on the idea of the transmission involved in the vicious cases: it is explained that X is F because Y is F where this F was somehow transmitted from Y to X. The problem is that to transfer something, you have to possess it first, so the possession is presumed rather than explained. For example, assume that in trying to explain why your neighbor has the property of being the owner of a bag of sugar, it is revealed that this bag was first in someone else's possession before it was transferred to your neighbor and that the same is true for this and every other previous owner. This explanation is unsatisfying since ownership is presupposed at every step. In non-transmissive explanations, on the other hand, Y is still the reason for X being F and Y is also F but this is just seen as a contingent fact. This line of thought has been used to argue that the epistemic regress is not vicious. From a Bayesian point of view, for example, justification or evidence can be defined in terms of one belief raising the probability of another belief. The former belief may also be justified but this is not relevant for explaining why the latter belief is justified.

Responses

Philosophers have responded to infinite regress arguments in various ways. The criticized theory can be defended, for example, by denying that an infinite regress is involved. Infinitists, on the other hand, embrace the regress but deny that it is vicious. Another response is to modify the theory in order to avoid the regress. This can be achieved in the form of foundationalism or of coherentism.

Foundationalism

Traditionally, the most common response is foundationalism. It posits that there is a first element in the series from which all the other elements arise but which is not itself explained this way. So from any given position, the series can be traced back to elements on the most fundamental level, which the recursive principle fails to explain. This way there is no infinite regress. This position is well-known from its applications in the field of epistemology. Foundationalist theories of epistemic justification state that besides inferentially justified beliefs, which depend for their justification on other beliefs, there are also non-inferentially justified beliefs. The non-inferentially justified beliefs constitute the foundation on which the superstructure consisting of all the inferentially justified beliefs rests. Acquaintance theories explain the justification of non-inferential beliefs through acquaintance with the objects of the belief. On such a view, an agent is inferentially justified to believe that it will rain tomorrow based on the belief that the weather forecast told so. She is non-inferentially justified in believing that she is in pain because she is directly acquainted with the pain. So a different type of explanation (acquaintance) is used for the foundational elements.

Another example comes from the field of metaphysics concerning the problem of ontological hierarchy. One position in this debate claims that some entities exist on a more fundamental level than other entities and that the latter entities depend on or are grounded in the former entities. Metaphysical foundationalism is the thesis that these dependence relations do not form an infinite regress: that there is a most fundamental level that grounds the existence of the entities from all other levels. This is sometimes expressed by stating that the grounding-relation responsible for this hierarchy is well-founded.

Coherentism

Coherentism, mostly found in the field of epistemology, is another way to avoid infinite regresses. It is based on a holistic explanation that usually sees the entities in question not as a linear series but as an interconnected network. For example, coherentist theories of epistemic justification hold that beliefs are justified because of the way they hang together: they cohere well with each other. This view can be expressed by stating that justification is primarily a property of the system of beliefs as a whole. The justification of a single belief is derivative in the sense that it depends on the fact that this belief belongs to a coherent whole. Laurence BonJour is a well-known contemporary defender of this position.

Examples

Aristotle

Aristotle argued that knowing does not necessitate an infinite regress because some knowledge does not depend on demonstration:

Some hold that owing to the necessity of knowing the primary premises, there is no scientific knowledge. Others think there is, but that all truths are demonstrable. Neither doctrine is either true or a necessary deduction from the premises. The first school, assuming that there is no way of knowing other than by demonstration, maintain that an infinite regress is involved, on the ground that if behind the prior stands no primary, we could not know the posterior through the prior (wherein they are right, for one cannot traverse an infinite series): if on the other hand – they say – the series terminates and there are primary premises, yet these are unknowable because incapable of demonstration, which according to them is the only form of knowledge. And since thus one cannot know the primary premises, knowledge of the conclusions which follow from them is not pure scientific knowledge nor properly knowing at all, but rests on the mere supposition that the premises are true. The other party agrees with them as regards knowing, holding that it is only possible by demonstration, but they see no difficulty in holding that all truths are demonstrated, on the ground that demonstration may be circular and reciprocal. Our own doctrine is that not all knowledge is demonstrative: on the contrary, knowledge of the immediate premises is independent of demonstration. (The necessity of this is obvious; for since we must know the prior premises from which the demonstration is drawn, and since the regress must end in immediate truths, those truths must be indemonstrable.) Such, then, is our doctrine, and in addition, we maintain that besides scientific knowledge there is its original source which enables us to recognize the definitions.

— Aristotle, Posterior Analytics I.3 72b1–15

Philosophy of mind

Gilbert Ryle argues in the philosophy of mind that mind-body dualism is implausible because it produces an infinite regress of "inner observers" when trying to explain how mental states are able to influence physical states.

Libertarian free will

Some forms of libertarianism assert that human actions do not have causes and are chosen consciously – i.e. are not random. This assertion raises the question: what are these conscious decisions based on? Since they can't be based on nothing (as the possibility of decisions being random is excluded), this question can be asked for each subsequent answer or answers to it, thus forming an infinite regress.

Problem of the creator of God

From Wikipedia, the free encyclopedia

The problem of the creator of God is the controversy regarding the hypothetical cause responsible for the existence of God, knowing God exists. It contests the proposition that the universe cannot exist without a creator by asserting that the creator of the universe must have the same restrictions. This, in turn, may lead to a problem of infinite regress wherein each newly presumed creator of a creator is itself presumed to have its own creator. A common challenge to theistic propositions of a creator deity as a necessary first-cause explanation for the universe is the question: "Who created God?"

Some faith traditions have such an element as part of their doctrine. Jainism posits that the universe is eternal and has always existed. Isma'ilism rejects the idea of God as the first cause, due to the doctrine of God's incomparability and source of any existence including abstract objects.

Perspectives

Osho writes:

No, don't ask that. That's what all the religions say – don't ask who created God. But this is strange – why not? If the question is valid about existence, why does it become invalid when it is applied to God? And once you ask who created God, you are falling into a regress absurdum.

John Humphreys writes:

... if someone were able to provide the explanation, we would be forced to embark upon what philosophers call an infinite regress. Having established who created God, we would then have to answer the question of who created God's creator.

In The God Book, deist Michael Arnheim writes:

The atheist objection is that if God created the universe, who created God? Judging by the number of times that (Richard) Dawkins repeats this same point in The God Delusion, one must assume that he sees this as a killer argument against the existence of God.

Alan Lurie writes:

In response to one of my blogs about God's purpose in the creation of the universe, one person wrote, "All you've done is divert the question. If God created the Universe, who created God? That is a dilemma that religious folks desperately try to avoid." The question, "Who created God?", has been pondered by theologians for millennia, and the answer is both surprisingly obvious and philosophically subtle ... ... whatever one thinks about the beginnings of the Universe, there is "something" at the very origin that was not created. This is an inescapable given, a cosmic truth.

Responses

Defenders of religion have countered that the question is improper:

We ask, "If all things have a creator, then who created God?" Actually, only created things have a creator, so it's improper to lump God with his creation. God has revealed himself to us in the Bible as having always existed.

Atheists counter that there is no reason to assume the universe was created. The question becomes irrelevant if the universe is presumed to have circular time instead of linear time, undergoing an infinite series of big bangs and big crunches on its own.

Some Christians, especially those espousing the Leibnizian principle of sufficient reason, claim that God would be a necessary being and necessary beings, by definition, cannot be caused externally by something else. The question of "What created X?" would only apply to contingent things, not to a necessary being like God.

 

Cosmological argument

From Wikipedia, the free encyclopedia

A cosmological argument, in natural theology, is an argument which claims that the existence of God can be inferred from facts concerning causation, explanation, change, motion, contingency, dependency, or finitude with respect to the universe or some totality of objects. A cosmological argument can also sometimes be referred to as an argument from universal causation, an argument from first cause, or the causal argument. Whichever term is employed, there are two basic variants of the argument, each with subtle yet important distinctions: in esse (essentiality), and in fieri (becoming).

The basic premises of all of these arguments involve the concept of causation. The conclusion of these arguments is that there exists a first cause (for whichever group of things it is being argued has a cause), subsequently deemed to be God. The history of this argument goes back to Aristotle or earlier, was developed in Neoplatonism and early Christianity and later in medieval Islamic theology during the 9th to 12th centuries, and was re-introduced to medieval Christian theology in the 13th century by Thomas Aquinas. The cosmological argument is closely related to the principle of sufficient reason as addressed by Gottfried Leibniz and Samuel Clarke, itself a modern exposition of the claim that "nothing comes from nothing" attributed to Parmenides.

Contemporary defenders of cosmological arguments include William Lane Craig, Robert Koons, and Alexander Pruss.

History

Plato and Aristotle, depicted here in Raphael's The School of Athens, both developed first cause arguments.

Plato (c. 427–347 BC) and Aristotle (c. 384–322 BC) both posited first cause arguments, though each had certain notable caveats. In The Laws (Book X), Plato posited that all movement in the world and the Cosmos was "imparted motion". This required a "self-originated motion" to set it in motion and to maintain it. In Timaeus, Plato posited a "demiurge" of supreme wisdom and intelligence as the creator of the Cosmos.

Aristotle argued against the idea of a first cause, often confused with the idea of a "prime mover" or "unmoved mover" (πρῶτον κινοῦν ἀκίνητον or primus motor) in his Physics and Metaphysics. Aristotle argued in favor of the idea of several unmoved movers, one powering each celestial sphere, which he believed lived beyond the sphere of the fixed stars, and explained why motion in the universe (which he believed was eternal) had continued for an infinite period of time. Aristotle argued the atomist's assertion of a non-eternal universe would require a first uncaused cause – in his terminology, an efficient first cause – an idea he considered a nonsensical flaw in the reasoning of the atomists.

Like Plato, Aristotle believed in an eternal cosmos with no beginning and no end (which in turn follows Parmenides' famous statement that "nothing comes from nothing"). In what he called "first philosophy" or metaphysics, Aristotle did intend a theological correspondence between the prime mover and deity (presumably Zeus); functionally, however, he provided an explanation for the apparent motion of the "fixed stars" (now understood as the daily rotation of the Earth). According to his theses, immaterial unmoved movers are eternal unchangeable beings that constantly think about thinking, but being immaterial, they are incapable of interacting with the cosmos and have no knowledge of what transpires therein. From an "aspiration or desire", the celestial spheres, imitate that purely intellectual activity as best they can, by uniform circular motion. The unmoved movers inspiring the planetary spheres are no different in kind from the prime mover, they merely suffer a dependency of relation to the prime mover. Correspondingly, the motions of the planets are subordinate to the motion inspired by the prime mover in the sphere of fixed stars. Aristotle's natural theology admitted no creation or capriciousness from the immortal pantheon, but maintained a defense against dangerous charges of impiety.

Plotinus, a third-century Platonist, taught that the One transcendent absolute caused the universe to exist simply as a consequence of its existence (creatio ex deo). His disciple Proclus stated "The One is God".

Centuries later, the Islamic philosopher Avicenna (c. 980–1037) inquired into the question of being, in which he distinguished between essence (Mahiat) and existence (Wujud). He argued that the fact of existence could not be inferred from or accounted for by the essence of existing things, and that form and matter by themselves could not originate and interact with the movement of the Universe or the progressive actualization of existing things. Thus, he reasoned that existence must be due to an agent cause that necessitates, imparts, gives, or adds existence to an essence. To do so, the cause must coexist with its effect and be an existing thing.

Steven Duncan writes that it "was first formulated by a Greek-speaking Syriac Christian neo-Platonist, John Philoponus, who claims to find a contradiction between the Greek pagan insistence on the eternity of the world and the Aristotelian rejection of the existence of any actual infinite". Referring to the argument as the "'Kalam' cosmological argument", Duncan asserts that it "received its fullest articulation at the hands of [medieval] Muslim and Jewish exponents of Kalam ("the use of reason by believers to justify the basic metaphysical presuppositions of the faith").

Thomas Aquinas (c. 1225–1274) adapted and enhanced the argument he found in his reading of Aristotle and Avicenna to form one of the most influential versions of the cosmological argument. His conception of First Cause was the idea that the Universe must be caused by something that is itself uncaused, which he claimed is that which we call God:

The second way is from the nature of the efficient cause. In the world of sense we find there is an order of efficient causes. There is no case known (neither is it, indeed, possible) in which a thing is found to be the efficient cause of itself; for so it would be prior to itself, which is impossible. Now in efficient causes it is not possible to go on to infinity, because in all efficient causes following in order, the first is the cause of the intermediate cause, and the intermediate is the cause of the ultimate cause, whether the intermediate cause be several, or only one. Now to take away the cause is to take away the effect. Therefore, if there be no first cause among efficient causes, there will be no ultimate, nor any intermediate cause. But if in efficient causes it is possible to go on to infinity, there will be no first efficient cause, neither will there be an ultimate effect, nor any intermediate efficient causes; all of which is plainly false. Therefore it is necessary to admit a first efficient cause, to which everyone gives the name of God.

Importantly, Aquinas' Five Ways, given the second question of his Summa Theologica, are not the entirety of Aquinas' demonstration that the Christian God exists. The Five Ways form only the beginning of Aquinas' Treatise on the Divine Nature.

Versions of the argument

Argument from contingency

In the scholastic era, Aquinas formulated the "argument from contingency", following Aristotle in claiming that there must be something to explain why the Universe exists. Since the Universe could, under different circumstances, conceivably not exist (contingency), its existence must have a cause – not merely another contingent thing, but something that exists by necessity (something that must exist in order for anything else to exist). In other words, even if the Universe has always existed, it still owes its existence to an uncaused cause, Aquinas further said: "... and this we understand to be God."

Aquinas's argument from contingency allows for the possibility of a Universe that has no beginning in time. It is a form of argument from universal causation. Aquinas observed that, in nature, there were things with contingent existences. Since it is possible for such things not to exist, there must be some time at which these things did not in fact exist. Thus, according to Aquinas, there must have been a time when nothing existed. If this is so, there would exist nothing that could bring anything into existence. Contingent beings, therefore, are insufficient to account for the existence of contingent beings: there must exist a necessary being whose non-existence is an impossibility, and from which the existence of all contingent beings is ultimately derived.

The German philosopher Gottfried Leibniz made a similar argument with his principle of sufficient reason in 1714. "There can be found no fact that is true or existent, or any true proposition," he wrote, "without there being a sufficient reason for its being so and not otherwise, although we cannot know these reasons in most cases." He formulated the cosmological argument succinctly: "Why is there something rather than nothing? The sufficient reason ... is found in a substance which ... is a necessary being bearing the reason for its existence within itself."

Leibniz's argument from contingency is one of the most popular cosmological arguments in philosophy of religion. It attempts to prove the existence of a necessary being and infer that this being is God. Alexander Pruss formulates the argument as follows:

  1. Every contingent fact has an explanation.
  2. There is a contingent fact that includes all other contingent facts.
  3. Therefore, there is an explanation of this fact.
  4. This explanation must involve a necessary being.
  5. This necessary being is God.

Premise 1 is a form of the principle of sufficient reason stating that all contingently true sentences (i.e. contingent facts) have a sufficient explanation as to why they are the case. Premise 2 refers to what is known as the Big Conjunctive Contingent Fact (abbreviated BCCF), and the BCCF is generally taken to be the logical conjunction of all contingent facts. It can be thought about as the sum total of all contingent reality. Premise 3 then concludes that the BCCF has an explanation, as every contingency does (in virtue of the PSR). It follows that this explanation is non-contingent (i.e. necessary); no contingency can explain the BCCF, because every contingent fact is a part of the BCCF. Statement 5, which is either seen as a premise or a conclusion, infers that the necessary being which explains the totality of contingent facts is God. Several philosophers of religion, such as Joshua Rasmussen and T. Ryan Byerly, have argued for the inference from (4) to (5).

In esse and in fieri

The difference between the arguments from causation in fieri and in esse is a fairly important one. In fieri is generally translated as "becoming", while in esse is generally translated as "in essence". In fieri, the process of becoming, is similar to building a house. Once it is built, the builder walks away, and it stands on its own accord; compare the watchmaker analogy. (It may require occasional maintenance, but that is beyond the scope of the first cause argument.)

In esse (essence) is more akin to the light from a candle or the liquid in a vessel. George Hayward Joyce, SJ, explained that, "where the light of the candle is dependent on the candle's continued existence, not only does a candle produce light in a room in the first instance, but its continued presence is necessary if the illumination is to continue. If it is removed, the light ceases. Again, a liquid receives its shape from the vessel in which it is contained; but were the pressure of the containing sides withdrawn, it would not retain its form for an instant." This form of the argument is far more difficult to separate from a purely first cause argument than is the example of the house's maintenance above, because here the First Cause is insufficient without the candle's or vessel's continued existence.

The philosopher Robert Koons has stated a new variant on the cosmological argument. He says that to deny causation is to deny all empirical ideas – for example, if we know our own hand, we know it because of the chain of causes including light being reflected upon one's eyes, stimulating the retina and sending a message through the optic nerve into your brain. He summarised the purpose of the argument as "that if you don't buy into theistic metaphysics, you're undermining empirical science. The two grew up together historically and are culturally and philosophically inter-dependent ... If you say I just don't buy this causality principle – that's going to be a big big problem for empirical science." This in fieri version of the argument therefore does not intend to prove God, but only to disprove objections involving science, and the idea that contemporary knowledge disproves the cosmological argument.

Kalām cosmological argument

William Lane Craig, who was responsible for re-popularizing this argument in Western philosophy, presents it in the following general form:

  1. Whatever begins to exist has a cause of its existence.
  2. The universe began to exist.
  3. Therefore, the universe has a cause of its existence.

Craig explains, by nature of the event (the Universe coming into existence), attributes unique to (the concept of) God must also be attributed to the cause of this event, including but not limited to: enormous power (if not omnipotence), being the creator of the Heavens and the Earth (as God is according to the Christian understanding of God), being eternal and being absolutely self-sufficient. Since these attributes are unique to God, anything with these attributes must be God. Something does have these attributes: the cause; hence, the cause is God, the cause exists; hence, God exists.

Craig defends the second premise, that the Universe had a beginning starting with Al-Ghazali's proof that an actual infinity is impossible. However, If the universe never had a beginning then there would be an actual infinite, Craig claims, namely an infinite amount of cause and effect events. Hence, the Universe had a beginning.

Metaphysical argument for the existence of God

Duns Scotus, the influential Medieval Christian theologian, created a metaphysical argument for the existence of God. Though it was inspired by Aquinas' argument from motion, he, like other philosophers and theologians, believed that his statement for God's existence could be considered separate to Aquinas'. His explanation for God's existence is long, and can be summarised as follows:

  1. Something can be produced.
  2. It is produced by itself, something or another.
  3. Not by nothing, because nothing causes nothing.
  4. Not by itself, because an effect never causes itself.
  5. Therefore, by another A.
  6. If A is first then we have reached the conclusion.
  7. If A is not first, then we return to 2).
  8. From 3) and 4), we produce another- B. The ascending series is either infinite or finite.
  9. An infinite series is not possible.
  10. Therefore, God exists.

Scotus deals immediately with two objections he can see: first, that there cannot be a first, and second, that the argument falls apart when 1) is questioned. He states that infinite regress is impossible, because it provokes unanswerable questions, like, in modern English, "What is infinity minus infinity?" The second he states can be answered if the question is rephrased using modal logic, meaning that the first statement is instead "It is possible that something can be produced."

Cosmological argument and infinite regress

Depending on its formulation, the cosmological argument is an example of a positive infinite regress argument. An infinite regress is an infinite series of entities governed by a recursive principle that determines how each entity in the series depends on or is produced by its predecessor. An infinite regress argument is an argument against a theory based on the fact that this theory leads to an infinite regress. A positive infinite regress argument employs the regress in question to argue in support of a theory by showing that its alternative involves a vicious regress. The regress relevant for the cosmological argument is the regress of causes: an event occurred because it was caused by another event that occurred before it, which was itself caused by a previous event, and so on. For an infinite regress argument to be successful, it has to demonstrate not just that the theory in question entails an infinite regress but also that this regress is vicious. Once the viciousness of the regress of causes is established, the cosmological argument can proceed to its positive conclusion by holding that it is necessary to posit a first cause in order to avoid it.

A regress can be vicious due to metaphysical impossibility, implausibility or explanatory failure. It is sometimes held that the regress of causes is vicious because it is metaphysically impossible, i.e. that it involves an outright contradiction. But it is difficult to see where this contradiction lies unless an additional assumption is accepted: that actual infinity is impossible. But this position is opposed to infinity in general, not just specifically to the regress of causes. A more promising view is that the regress of causes is to be rejected because it is implausible. Such an argument can be based on empirical observation, e.g. that, to the best of our knowledge, our universe had a beginning in the form of the Big Bang. But it can also be based on more abstract principles, like Ockham's razor, which posits that we should avoid ontological extravagance by not multiplying entities without necessity. A third option is to see the regress of causes as vicious due to explanatory failure, i.e. that it does not solve the problem it was formulated to solve or that it assumes already in disguised form what it was supposed to explain. According to this position, we seek to explain one event in the present by citing an earlier event that caused it. But this explanation is incomplete unless we can come to understand why this earlier event occurred, which is itself explained by its own cause and so on. At each step, the occurrence of an event has to be assumed. So it fails to explain why anything at all occurs, why there is a chain of causes to begin with.

Objections and counterarguments

What caused the First Cause?

One objection to the argument is that it leaves open the question of why the First Cause is unique in that it does not require any causes. Proponents argue that the First Cause is exempt from having a cause, while opponents argue that this is special pleading or otherwise untrue. Critics often press that arguing for the First Cause's exemption raises the question of why the First Cause is indeed exempt, whereas defenders maintain that this question has been answered by the various arguments, emphasizing that none of its major forms rest on the premise that everything has a cause.

William Lane Craig, who popularised and is notable for defending the Kalam cosmological argument, argues that the infinite is impossible, whichever perspective the viewer takes, and so there must always have been one unmoved thing to begin the universe. He uses Hilbert's paradox of the Grand Hotel and the question 'What is infinity minus infinity?' to illustrate the idea that the infinite is metaphysically, mathematically, and even conceptually, impossible. Other reasons include the fact that it is impossible to count down from infinity, and that, had the universe existed for an infinite amount of time, every possible event, including the final end of the universe, would already have occurred. He therefore states his argument in three points- firstly, everything that begins to exist has a cause of its existence; secondly, the universe began to exist; so, thirdly, therefore, the universe has a cause of its existence. Craig argues in the Blackwell Companion to Natural Theology that there cannot be an infinite regress of causes and thus there must be a first uncaused cause, even if one posits a plurality of causes of the universe. He argues Occam's Razor may be employed to remove unneeded further causes of the universe, to leave a single uncaused cause.

Secondly, it is argued that the premise of causality has been arrived at via a posteriori (inductive) reasoning, which is dependent on experience. David Hume highlighted this problem of induction and argued that causal relations were not true a priori. However, as to whether inductive or deductive reasoning is more valuable remains a matter of debate, with the general conclusion being that neither is prominent. Opponents of the argument tend to argue that it is unwise to draw conclusions from an extrapolation of causality beyond experience. Andrew Loke replies that, according to the Kalam Cosmological Argument, only things which begin to exist require a cause. On the other hand, something that is without beginning has always existed and therefore does not require a cause. The Cosmological Argument posits that there cannot be an actual infinite regress of causes, therefore there must be an uncaused First Cause that is beginningless and does not require a cause.

Not evidence for a theistic God

The basic cosmological argument merely establishes that a First Cause exists, not that it has the attributes of a theistic god, such as omniscience, omnipotence, and omnibenevolence. This is why the argument is often expanded to show that at least some of these attributes are necessarily true, for instance in the modern Kalam argument given above.

Existence of causal loops

A causal loop is a form of predestination paradox arising where traveling backwards in time is deemed a possibility. A sufficiently powerful entity in such a world would have the capacity to travel backwards in time to a point before its own existence, and to then create itself, thereby initiating everything which follows from it.

The usual reason given to refute the possibility of a causal loop is that it requires that the loop as a whole be its own cause. Richard Hanley argues that causal loops are not logically, physically, or epistemically impossible: "[In timed systems,] the only possibly objectionable feature that all causal loops share is that coincidence is required to explain them." However, Andrew Loke argues that causal loop of the type that is supposed to avoid a First Cause suffers from the problem of vicious circularity and thus it would not work.

Existence of infinite causal chains

David Hume and later Paul Edwards have invoked a similar principle in their criticisms of the cosmological argument. William L. Rowe has called this the Hume-Edwards principle:

If the existence of every member of a set is explained, the existence of that set is thereby explained.

Nevertheless, David White argues that the notion of an infinite causal regress providing a proper explanation is fallacious. Furthermore, in Hume's Dialogues Concerning Natural Religion, the character Demea states that even if the succession of causes is infinite, the whole chain still requires a cause. To explain this, suppose there exists a causal chain of infinite contingent beings. If one asks the question, "Why are there any contingent beings at all?", it does not help to be told that "There are contingent beings because other contingent beings caused them." That answer would just presuppose additional contingent beings. An adequate explanation of why some contingent beings exist would invoke a different sort of being, a necessary being that is not contingent. A response might suppose each individual is contingent but the infinite chain as a whole is not; or the whole infinite causal chain to be its own cause.

Severinsen argues that there is an "infinite" and complex causal structure. White tried to introduce an argument "without appeal to the principle of sufficient reason and without denying the possibility of an infinite causal regress". A number of other arguments have been offered to demonstrate that an actual infinite regress cannot exist, viz. the argument for the impossibility of concrete actual infinities, the argument for the impossibility of traversing an actual infinite, the argument from the lack of capacity to begin to exist, and various arguments from paradoxes.

Big Bang cosmology

Some cosmologists and physicists argue that a challenge to the cosmological argument is the nature of time: "One finds that time just disappears from the Wheeler–DeWitt equation" (Carlo Rovelli). The Big Bang theory states that it is the point in which all dimensions came into existence, the start of both space and time. Then, the question "What was there before the Universe?" makes no sense; the concept of "before" becomes meaningless when considering a situation without time. This has been put forward by J. Richard Gott III, James E. Gunn, David N. Schramm, and Beatrice Tinsley, who said that asking what occurred before the Big Bang is like asking what is north of the North Pole. However, some cosmologists and physicists do attempt to investigate causes for the Big Bang, using such scenarios as the collision of membranes.

Philosopher Edward Feser argues that most of the classical philosophers' cosmological arguments for the existence of God do not depend on the Big Bang or whether the universe had a beginning. The question is not about what got things started or how long they have been going, but rather what keeps them going.

Representation of a Lie group

From Wikipedia, the free encyclopedia https://en.wikipedia.org/wiki/Representation_of_a_Lie_group...