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6. Mathematics / A. Nature of Mathematics / 4. The Infinite / k. Infinite divisibility

[endless dividing an interval between numbers]

5 ideas
A continuous line cannot be composed of indivisible points [Aristotle]
The continuum is not divided like sand, but folded like paper [Leibniz]
There is no continuum in reality to realise the infinitely small [Hilbert]
Between any two rational numbers there is an infinite number of rational numbers [Friend]
Infinitesimals were sometimes zero, and sometimes close to zero [Colyvan]