Mathematical logic

Category:Mathematical logic - Wikipedia Mathematical logic - Wikipedia List of mathematical logic topics - Wikipedia

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Outline of logic Boolean algebra Set theory

Why some axioms are independent and no proof can ever settle them What a model of an axiom system actually is Does a mathematical system need axioms that are true or only consistent? Gödel showed any axiom system strong enough for arithmetic has undecidable statements Peano's axioms and how much of arithmetic they actually pin down

Algebra Geometry Topology Number theory Calculus Game theory History of mathematics Statistics Arithmetic Fields of mathematics