Sorites Paradox: Grain by Grain

The puzzle can be expressed as an argument most simply using modus ponens:

P1. 1 grain of wheat does not make a heap.

P2. 1 grain doesn’t make a heap, then 2 grains don’t.

P3. If 2 grains don’t make a heap, then 3 grains don’t.

Pn. …

C. If 999,999 grains don’t make a heap, then 1 million grains don’t.

-Hyde, Dominic and Diana Raffman, “Sorites Paradox“, The Stanford Encyclopedia of Philosophy (Summer 2018 Edition), Edward N. Zalta (ed.), URL = <>.

The Sorities Paradox reveals another facet of the limits of categories. How many grains is in a heap? How much hair do you need on your head to not be bald?