## Is an infinite regress logically possible?

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I always see in a lot of texts that use the idea that infinite regresses are impossible to justify their arguments. But I haven't seen any texts that address infinite regresses themselves. Are infinite regresses actually logically possible?

1Consider the integers, which are the positive and negative whole numbers, and zero. They line up in their usual order like this: ..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ... They satisfy two interesting properties:(1) Every number has an immediate predecessor; and (2) There is no first element. The integers in their usual order are a model of an infinite regress. Everything has a "cause," an immediate predecessor, but there is no first cause. It's clear that the integers are logically possible, we use them every day. – user4894 – 2020-12-22T03:33:45.547

If we assume that the soul exists, could that be used to justify the possibility of an infinite regress? – moh abdi – 2020-12-22T03:38:39.693

2I know a lot more about the integers than I do about souls. Can't help you on that one. My contribution here is purely mathematical. – user4894 – 2020-12-22T03:45:59.880

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– Conifold – 2020-12-22T06:17:26.850

First define what you mean by "infinite regress". As a previous comment shows, a mathematical interpretation is perfectly logical, but that doesn't seem to be what you had in mind. – Sam – 2020-12-22T15:32:32.600

The question should point to at least one specific text mentioning infinite regresses, and also from the comment it seems the question may be spiritual, not philosophical, and thus off-topic. – tkruse – 2020-12-23T01:28:40.370