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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility

[endless dividing an interval between numbers]

6 ideas
Lengths do not contain infinite parts; parts are created by acts of division [Aristotle, by Le Poidevin]
A continuous line cannot be composed of indivisible points [Aristotle]
The continuum is not divided like sand, but folded like paper [Leibniz, by Arthur,R]
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]