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Single Idea 10850

[catalogued under 6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / b. Baby arithmetic]

Full Idea

Baby Arithmetic is negation complete, so it can prove every claim (or its negation) that it can express, but it is expressively extremely impoverished.

Gist of Idea

Baby Arithmetic is complete, but not very expressive


Peter Smith (Intro to Gödel's Theorems [2007], 08.3)

Book Reference

Smith,Peter: 'An Introduction to Gödel's Theorems' [CUP 2007], p.55