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Wellsprings
metaphysics

Infinity / The Unlimited

τὸ ἄπειρον

Can you ever finish counting to infinity? Aristotle says no—and that is precisely what infinity is: a process forever incomplete, never a finished whole.

The Greeks were haunted by the endless: a line you can always halve again, a number you can always add one to. Aristotle's solution was to distinguish two senses of "infinite." There is no actual infinite—no completed endless thing existing all at once—but there is a potential infinite: a division or addition that can always be carried one step further without ever reaching a last step. This move tamed Zeno's paradoxes of motion and gave Western thought its working grip on the boundless and the continuous for nearly two millennia.

Where this idea shows up

11 Greek sources·3 Jewish-canon citations

Where to read it