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- Kurt Gödel Society - The Kurt Gödel Society was founded in Vienna, Austria in 1987. It is an international organization aimed at promoting research primarily on logic, philosophy and the history of mathematics, with special attention to connections with Kurt Gödel, in whose honour it was named.
- Gödel number - In mathematical logic, a Gödel numbering is a function that assigns to each symbol and well-formed formula of some formal language a unique natural number called its Gödel number. The concept was first used by Kurt Gödel for the proof of his incompleteness theorem.
- Gödel's incompleteness theorems - In mathematical logic, Gödel's incompleteness theorems, proved by Kurt Gödel in 1931, are two theorems stating inherent limitations of all but the most trivial formal systems for arithmetic of mathematical interest.
- Gödel Prize - The Gödel Prize is a prize for outstanding papers in theoretical computer science, named after Kurt Gödel and awarded jointly by the European Association for Theoretical Computer Science (EATCS) and the Association for Computing Machinery Special Interest Group on Algorithms and Computation Theory (ACM SIGACT).
- Gödel's completeness theorem - Gödel's completeness theorem is an important theorem in mathematical logic which was first proved by Kurt Gödel in 1929. It states, in its most familiar form, that in first-order logic every logically valid formula is provable.