Tarski's axioms: Difference between revisions

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{{otheruses4|axioms for Euclidean geometry||Tarski–Grothendieck set theory}}
'''Tarski's axioms''', due to [[Alfred Tarski]], are an [[axiom]] set for the substantial fragment of [[Euclidean geometry]] that is formulable in [[first-order logic]] with [[identity (mathematics)|identity]], and requiring no [[set theory]] {{harv|Tarski|1959}} (i.e., that part of Euclidean geometry that is formulable as an [[elementary theory]]). Other modern axiomizations of Euclidean geometry are those by [[Hilbert's axioms|Hilbert]] and [[Birkhoff's axioms|George Birkhoff]].
 
==Overview==