Defending Zeno's Paradox
Channel: Steve Patterson
Date: 03/05/2018

Original article here: http://steve-patterson.com/defending-zenos-paradox/

Calculus does not resolve Zeno’s paradoxes. Calculus is about asymptotic relationships between quantities. Asymptotic relationships cannot result in equalities.

Calculus will get Achilles arbitrarily close to the tortoise. But "arbitrarily close" is still non-zero. Therefore, calculus cannot explain how Achilles could ever reach or overtake the tortoise.

Zeno's paradoxes are actually resolved by a base-unit of physical reality. Space is not - and cannot be - infinitely divisible.

Calculus will get Achilles arbitrarily close to the tortoise. But "arbitrarily close" must be non-zero. Therefore, calculus cannot explain how Achilles could ever reach or overtake the tortoise.

Zeno's paradoxes are resolved by there being a base-unit of physical reality.

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