Paradoxes and Contemporary Logic
Updated 2026-09-10
INTRODUCTION
English translation pending.
CORE DEFINITION
A paradox is a proposition that goes beyond or against received opinion. It has been a standing object of philosophical study since ancient Greece, serving both as a component of complex arguments and as a tool for overturning positions, as in Zeno's paradoxes of motion and continuity and the Megarian arguments around truth and vagueness.
SCAFFOLDING EFFECT
Reduce cognitive load
- Audit the premises: when a contradiction appears, first locate the self-reference and the negation, then find exactly which premise collapses. - Choose the remedy: weigh restricting self-reference against revising the inference rules, and compare carefully what each one costs.
Anchor fast decisions
The core mechanism is the combination of self-reference and negation: once an expression can talk about its own truth or its own membership, while double negation and excluded middle are retained, a conclusion that is both true and false follows. The exits are either to type the language and restrict self-reference, or to revise the rules governing implication and negation.
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/paradoxes-contemporary-logic/verified
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