foundations of mathematics: Quick Facts

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Achilles paradox

Contrasting triangles in Euclidean, elliptic, and hyperbolic spaces.

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Topics

incompleteness theorem Gödel’s second incompleteness theorem Gödel’s first incompleteness theorem philosophy of mathematics mathematics probability and statistics numerals and numeral systems matrix function fractal graph derivative algorithm vector error

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mathematics: Foundations of geometry

Key People

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Stanisław Leśniewski

Polish logician and mathematician

David Hilbert

David Hilbert

German mathematician

Peano, Giuseppe

Giuseppe Peano

Italian mathematician

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Paul Isaak Bernays

Swiss logician and mathematician

Equations written on blackboard

Numbers and Mathematics