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metamathematics

[met-uh-math-uh-mat-iks]
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noun (used with a singular verb)
  1. the logical analysis of the fundamental concepts of mathematics, as number, function, etc.
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Origin of metamathematics

First recorded in 1885–90; meta- + mathematics
Related formsmet·a·math·e·mat·i·cal, adjectivemet·a·math·e·ma·ti·cian [met-uh-math-uh-muh-tish-uh n] /ˌmɛt əˌmæθ ə məˈtɪʃ ən/, noun
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

British Dictionary definitions for metamathematics

metamathematics

noun
  1. (functioning as singular) the logical analysis of the reasoning, principles, and rules that control the use and combination of mathematical symbols, numbers, etc
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Derived Formsmetamathematical, adjectivemetamathematician, noun
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Word Origin and History for metamathematics

n.

1890, from meta- + mathematics.

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Online Etymology Dictionary, © 2010 Douglas Harper