Infinite Powers: The Story of Calculus - The Language of the Universe

by Steven H. Strogatz

The Infinity Principle To shed light on any continuous shape, object, motion, process, or phenomenon — no matter how wild and complicated it may appear — reimagine it as an infinite series of simpler parts, analyze those, and then add the results back together to make sense of the original whole.

logic has always lagged behind intuition.

Change, according to Zeno, is an illusion.

Paradox of the Dichotomy,

Achilles and the Tortoise,

Paradox of the Arrow,

the historian Plutarch tells us that Archimedes could become so engrossed in geometry that it “made him forget his food and neglect his person.” (That certainly rings true. For many of us mathematicians, meals and personal hygiene aren’t top priorities.)

It’s the autism (I’m exactly the same)

We no longer make this distinction between magnitude and number,

I think I’ll never understand maths

4 × Area = 4 + Area.

I can’t take this

WHEN ARCHIMEDES DIED, the mathematical study of nature nearly died along with him.