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Aristotle, Physics. Book III, Chapter 05

But a belief that there is something infinite is produced in those who consider it, from five arguments especially. From time; for this is infinite. From the division in magnitudes; for mathematicians also use the infinite. Further still; from this, that thus generation and corruption will not fail if that is infinite, whence that which is generated is taken away. And again, because that which is finite is always bounded with reference to something; so that it is necessary that there should be no end, if it is always necessary that one thing should be bounded with reference to another. But that which especially produces credibility, and is the principal argument is what causes a common doubt in all men; for in consequence of intellection never failing, number also appears to be infinite, and mathematical magnitudes, and that which is beyond the heavens. And since that which is beyond is infinite, body also appears to be infinite, and it would seem that there are infinite worlds; for why is there rather void here than there? So that if there is bulk in one place, it is also necessary that it should be everywhere. If also there is a vacuum, and an infinite place, it is necessary that there should be an infinite body: for in things which have a perpetual subsistence, capacity differs nothing from being. The speculation of the infinite is, however, attended with doubt: for many impossibilities happen both to those who do not admit that it has a subsistence, and to those who do. Further still; in what manner does it subsist? Whether as essence, or as an essential accident to a certain nature, or does it subsist in neither of these modes, but is nevertheless infinite, or infinites in multitude. It is however especially the province of a natural philosopher to consider if there be sensible infinite magnitude.

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