Sorites Paradox
Updated 2026-09-10
INTRODUCTION
English translation pending.
CORE DEFINITION
The sorites paradox is generated by a vague expression. One grain of wheat cannot turn a non-heap into a heap; if n grains do not form a heap, neither do n+1 grains; yet common sense holds that sufficiently many grains do form one. The paradox exposes the logical predicament that arises when a term lacks a determinate boundary of application, so that no single step in a gradual transition can be identified as the point where truth changes. Proposed resolutions reject one premise, introduce intermediate truth values, or let the boundary move with context.
SCAFFOLDING EFFECT
Reduce cognitive load
- Boundary probing: ask at exactly which point the vague term switches its truth value. - Premise breakdown: locate whether the base premise or the induction premise must be rejected. - Context calibration: judge whether the boundary shifts with context and comparison class.
Anchor fast decisions
The paradox derives a contradiction from two premises: one grain is not a heap, and if n grains are not a heap then n+1 grains are not either. Because the vague predicate has no sharp boundary, the second premise is intuitively compelling, yet repeated application yields that no number of grains makes a heap. Each school of resolution dissolves the contradiction by rejecting one premise, adding a third truth value, or letting the boundary shift with context.
MINIMUM ACTION
In progress 0/1Practice this model in one real situation:
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Source support: Explicit
- plato.stanford.eduhttps://plato.stanford.edu/entries/sorites-paradox/verified
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