Difference between revisions of "Infinite regression"

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An '''infinite regression''' is a proposed chain of event causation of infinite length.
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An '''infinite regression''' is a proposed chain of causation in which each purported cause itself requires another event of exactly the same type to cause ''it.''
  
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This raises the question of what set the original chain in motion – in short, what was the "first cause." Whether all things must have a "first cause" or not is a subject of [[Debate:Is a first cause of a process necessary, always possible, or sometimes impossible?|debate]].
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This raises the question of what set the original chain in motion—in short, what was the "first cause." Whether all things must have a "first cause" or not, is a subject of [[Debate:Is a first cause of a process necessary, always possible, or sometimes impossible?|debate]].
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==Why it's logically fallacious==
 
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{{cquote|Neither can there be a separated infinite number: for number, or what has number, is countable, and so, if it is possible
 
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to count what is countable, it would be possible to traverse the infinite.|||[[Aristotle]]}}
 
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Aristotle posits an argument that shows an infinite regress to result in a contradiction. Formed using predicate logic, the [[proof]] reads like this:<ref>Nawar, Tamer. “Aristotelian Finitism,” Synthese 192, no. 8 (July 2015): 2345-2346.</ref>
 
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#Nx⊃Cx
 
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#Cx⊃Tx
 
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#∴Nx⊃Tx (1, 2 hypothetical syllogism)
 
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#Ix⊃~Tx
 
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#| ∃x(Nx·Ix)
 
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#| Na·Ia
 
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#| Na (6, simplification)
 
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#| Ta (3, 7 ''[[modus ponens]]'')
 
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#| Ia (6, simplification)
 
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#| ~Ta (4 , 9 ''modus ponens'')
 
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#| Ta·~Ta (8, 10 conjunction)
 
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#[[Quod erat demonstrandum|QED]] ∃x(Nx·Ix) results in a contradiction
 
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#∴There does not exist a number that is infinite
 
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Let's define the terms. Nx⊃Cx reads "if x is a number, then x is countable." Cx⊃Tx reads "if x is countable, then x is traversable." Ix⊃~Tx reads "if x is infinite, then x is not traversable." ∃x(Nx·Ix) reads "there exists an x such that x is a number and x is infinite," and is a supposition for the sake of argument. Now, 'countable' and 'traversable' need to be defined. Aristotle regarded numbers as made up of composite parts. If Aristotle had thought of the number [[42]], he would have thought that it was composed of 42 individual parts. This is what he means by 'countable'. 'Traversing' is the act of counting. So, if a number is countable, then counting the individual parts and finally reaching the number is traversing, which means the number is traversable. Aristotle says that if a number is truly infinite, it can't be traversed because the end of the number can't ever be reached. Given the definitions of the terms and the logical validity of the argument, Aristotle concludes that there exist no infinite numbers.
 
  
 
== An example ==
 
== An example ==

Latest revision as of 15:15, November 1, 2018

An infinite regression is a proposed chain of causation in which each purported cause itself requires another event of exactly the same type to cause it.

This raises the question of what set the original chain in motion—in short, what was the "first cause." Whether all things must have a "first cause" or not, is a subject of debate.

An example

Many scientists, observing the remarkable complexity of life (and especially of DNA, the molecule that holds the complete instruction set for life), doubt strenuously that life could have originated on the earth out of non-life—a process called abiogenesis. Francis H. Crick, the co-discoverer of DNA, recognized this early and also is alleged to have recognized other conditions that abiogenesis would have required, that in all probability did not exist on earth. Crick did not believe that life was created by supernatural means, and therefore deduced that since life did not originate on earth, it was deposited on earth from outside.

How, then, did this happen? Most proponents of his outside-seeding of life, called panspermia, suggest that the comets contain the seeds of life within their tails, and the earth acquired these seeds by passing through a comet's tail. Dr. Crick and his colleague Leslie H. Orgel assumed something far more radical: that an advanced civilization built and launched a brace of intergalactic ballistic missiles, each laden with bacteria and blue-green algae, in all directions from their homeworld. One such missile crash-landed on earth, and all life on earth is the by-product of the payload of that missile.

But this prompts two questions:

  1. Where did life originate, that it would then infiltrate multiple cometary tails?
  2. Did yet another advanced civilization fire the missile that provided the seed of life from which the most recent launch authority had its own origins?

Unless an eventual origin of life is proposed (on another planet or in space), then for each step, the observer must regress one age into the past. The problem is that he never stops regressing. An infinite regression cannot have an identifiable first cause.

Another Example: Who created the creator?

Another example of infinite regression is when one asserts that life must have been created, thus requiring a more complex creator. However, for this logic to hold, the creator is a life form which requires another life form to create it. This logic chain continues and causes an infinite regression.

One method to stop this infinite regression is to assume that life does not need a creator. This argument is often used against the ideas of creationism and intelligent design.[1]

Another method is to assume that the Creator is the First Cause and is the only Entity that is Past-Eternal (and Future-Eternal).

Classical illustrations of infinite regression

The oldest practical illustration of the concept of infinite regression requires the experimenter to erect two mirrors facing one another, and then to stand between them. He will see his own image looking back at him, and then the back of his own head, and then his face, and so on, an infinite number of times.

A more modern experiment requires a television camera and receiver. If one sends the signal from the camera to the receiver, and then aims the camera at the receiver, the receiver will show a picture of itself, holding a picture of itself, holding a picture of itself, holding a picture of itself, and so on to infinity.


See also

References