Single Idea 5093

[catalogued under 26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature]

Full Idea

In defining continuity one is almost bound to rely on the notion of infinity; it is because the continuous is what is infinitely divisible.

Gist of Idea

Continuity depends on infinity, because the continuous is infinitely divisible


Aristotle (Physics [c.337 BCE], 200b18)

Book Reference

Aristotle: 'Physics', ed/tr. Waterfield,Robin [OUP 1996], p.56

A Reaction

Parmenides and the Achilles Paradox lie behind this view, and the fact that Aristotle was opposed to the view that some things are indivisible ('atomism'). Nice point, though - that space and time immediately imply the infinite.