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### Single Idea 10159

#### [catalogued under 5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems]

Full Idea

Before Tarski's work in the 1930s, the main results in model theory were the Löwenheim-Skolem Theorem, and Gödel's establishment in 1929 of the completeness of the axioms and rules for the classical first-order predicate (or quantificational) calculus.

Gist of Idea

Löwenheim-Skolem Theorem, and Gödel's completeness of first-order logic, the earliest model theory

Source

Feferman / Feferman (Alfred Tarski: life and logic [2004], Int V)

Book Reference

Feferman,S/Feferman,A.B.: 'Alfred Tarski: life and logic' [CUP 2008], p.281