math-lab

logic · paradox

Sorites paradox

Remove one grain. When did it stop being a heap?

One grain is not a heap. When does removing one grain destroy the heap? Every grain is the same kind of thing, so every grain is the same color. Take them away one at a time.

One grain of sand is not a heap.

Adding one grain never seems enough to turn it into a heap.

Removing one grain never seems enough to destroy it.

Yet at some point the heap is gone.

Small steps can cross a line we cannot sharply draw.