square circle

Contradictory shape combination

A square circle is a geometric impossibility—a shape that is simultaneously a square and a circle, which contradicts their definitions.

Philosophers use it as the paradigm case of a logical contradiction, something that cannot exist even in principle: Not even God could create a square circle.

It tests the limits of omnipotence and possibility.

Related

paradox · contradiction · illogical · mutually exclusive · self-reference · wrestling ring · dialectic · logical fallacy · impossible object · idealism · Aristotle · nonsensical · shape · four corners · philosophy · geometry · Bertrand Russell · Russell

Categories
Opposites
logical possibility

square circletautology

Redundant or circular statement

circle · square · triangle

conceptual coherence

square circleself-evident truth

Statement needing no proof

sound argument

existence/instantiation

square circlephysical reality

The material universe

triangle · sphere

Family

square, circle, squares, squared, squaring, squarely, squareness, squarer, squarest

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