sorites paradox: a standalone construct

The sorites paradox is credited to Eubulides of Miletus, a Megarian philosopher of the 4th century BCE, who framed it as the puzzle of the heap (Greek sorites, from soros, a heap): a thousand grains of sand plainly make a heap, and taking one grain away from a heap plainly still leaves a heap, yet repeating that step grain by grain forces the reasoner to the false conclusion that even one grain, or none at all, is a heap. The paradox exposes the trouble with vague predicates, everyday words such as heap, bald, tall, or red whose meaning admits borderline cases and marks no sharp cut-off point between clearly applying and clearly not. Twentieth-century logic and philosophy of language made it a central test case for theories of vagueness: Kit Fine's 1975 supervaluationist account preserved classical validity while letting statements about borderline cases lack any definite truth value, and Timothy Williamson's 1994 epistemic theory held that vague terms do have exact boundaries that are in principle unknowable. What makes the sorites a landmark is its reach: because almost every ordinary predicate is vague in this way, any account of meaning, truth, and valid inference has to say where the little-by-little argument goes wrong.[1][2][3]

Unit

A paradox of reasoning generated by a vague predicate that lacks a sharp boundary

Recovery means

Not applicable

Measured by

Identified as a chained argument that runs from a true base premise through many valid-seeming small steps to a false conclusion, formalised as a long series of conditionals or as a mathematical-induction schema applied to a vague predicate