Gödel's Completeness Theorems

Presenter Information

Roman Simkins

Abstract

Gödel's completeness theorem is a fundamental theorem in mathematical logic that defines a relationship between the truth of a statement and that statement's provability within mathematical language.

Keywords:

mathematics, logic, philosophy, proof, meaning

Status

Undergraduate

Department

Mathematics

College

College of Arts and Sciences

Campus

Athens

Faculty Mentor

Eisworth, Todd

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Gödel's Completeness Theorems

Gödel's completeness theorem is a fundamental theorem in mathematical logic that defines a relationship between the truth of a statement and that statement's provability within mathematical language.