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#tarski's_axiomatization_of_the_reals

Tarski's axiomatization of the reals

In 1936, Alfred Tarski gave an axiomatization of the real numbers and their arithmetic, consisting of only the eight axioms shown below and a mere four primitive notions: the set of reals denoted R, a binary relation over R, denoted by infix <, a binary operation of addition over R, denoted by infix +, and the constant 1.

Tue 7th

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Tarski's axiomatization of the reals Construction of the real numbers Real number Decidability of first-order theories of the real numbers Asymmetric relation Tarski's axioms Zermelo–Fraenkel set theory Tarski's undefinability theorem Alfred Tarski Tarski's high school algebra problem
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