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metamathematics

NOUN
  1. the logical analysis of mathematical reasoning

How To Use metamathematics In A Sentence

  • (Curry here makes an exception for metamathematics.) Philosophy of Mathematics
  • Tarski made important contributions in many areas of mathematics: set theory, measure theory, topology, geometry, classical and universal algebra, algebraic logic, various branches of formal logic and metamathematics.
  • He talks about the lyrics of 1960s songwriter Randy Newman in terms of metamathematics. Professor Uses Mathematics to Decode Beatles Tunes
  • This follows from formal theorems in metamathematics as well as from the history of science. Smart Mobs » Blog Archive » The Peer-Production/Wisdom of Crowds Debate contd.
  • Proof theory, a form of metamathematics, studies the ways in which proofs are used in mathematics.
  • In conjunction with the twenty-fourth problem, this shows that, even at the time, he had at least a vague idea of metamathematics.
  • In standard metamathematics, an important role for a thorough understanding of the second incompleteness theorem has been played by Löb's theorem (Löb 1955). Paradoxes and Contemporary Logic
  • On a different but important front, it can be argued that the distinction between mathematics and metamathematics cannot be articulated in the way it has been. Category Theory
  • He also contributed to general metamathematics (the theory of consequence operation) and intuitionistic logic. Lvov-Warsaw School
  • Thus, only in his early sixties did Hilbert truly proceed to create proof theory and metamathematics.
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