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Single Idea 10598

[filed under theme 5. Theory of Logic / K. Features of Logics / 4. Completeness ]

Full Idea

A theory is 'negation complete' if it decides every sentence of its language (either the sentence, or its negation).

Gist of Idea

A theory is 'negation complete' if it proves all sentences or their negation

Source

Peter Smith (Intro to Gödel's Theorems [2007], 03.4)

Book Ref

Smith,Peter: 'An Introduction to Gödel's Theorems' [CUP 2007], p.24