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Metamathematics

Metamathematics is the study of mathematics itself using mathematical methods. This study produces metatheories, which are mathematical theories about other mathematical theories. Emphasis on metamathematics (and perhaps the creation of the term itself) owes itself to David Hilbert's attempt to secure the foundations of mathematics in the early part of…

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Metamathematics

Nodes83
Edges82
Triples62
Avg. degree1.98
Density0.024096
Components1

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Metamathematics

Top relations

related to Further reading · 44
Metamathematics → Abridged, Aimed, Alfred North Whitehead, Alfred Tarski's Work, Appliquées, Bach, Bertrand Russell, Blok, Cambridge, Cambridge University Press, Don Pigozzi, Ensembles, Escher, General Metamathematics, Good, Gödel, Heijenoort, Introduction, JStorDouglas Hofstadter, Jul
related to history · 8
Metamathematics → Does, English, Metamathematical, More, Richard, Richard's, Russell's, Something
related to The discovery of hyperbolic geometry · 7
Metamathematics → Before, Boeotians, Latin, Mathematicians, Prince, The, When Gauss
is a · 1
Metamathematics → study of mathematics itself using mathematical methods

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Important terminology

mathematics logic mathematical set axioms system theorems study incompleteness theorem entscheidungsproblem begriffsschrift language theory frege philosophy century kleene important geometry

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Metamathematicsis astudy of mathematics itself using mathematical methods0.90text
Russell's in less unwieldy waysinstance oftypically avoids paradoxes0.80text
such as the system of Zermeloinstance oftypically avoids paradoxes0.80text
Metamathematicsrelated to Further readingBlok0.60section
Metamathematicsrelated to Further readingDon Pigozzi0.60section
Metamathematicsrelated to Further readingAlfred Tarski's Work0.60section
Metamathematicsrelated to Further readingGeneral Metamathematics0.60section
Metamathematicsrelated to Further readingThe Journal0.60section
Metamathematicsrelated to Further readingSymbolic Logic0.60section
Metamathematicsrelated to Further readingNo0.60section
Metamathematicsrelated to Further readingMar0.60section
Metamathematicsrelated to Further readingGood0.60section

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