Math 2.0

Geometry Foundations and axiom systems Concept

Tarski's axioms

Summary

Tarski's axioms are an axiom system for plane Euclidean geometry in first-order logic, due to Alfred Tarski. They speak only of points and of two relations: betweenness of three points and congruence of two segments. Tarski proved that the resulting theory is complete and decidable: an algorithm decides, for each sentence, whether it is a theorem.

Further reading

  1. Web https://en.wikipedia.org/wiki/Tarski%27s_axioms
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