Abstract
Most languages follow some grammatical rules in order to convey ideas clearly. Mathematics written in English of course has to follow these rules. Moreover, the ideas have to obey logical rules to be meaningful.
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Notes
- 1.
For a more detailed discussion of axioms and proof see Devlin (2002).
- 2.
Neil Irwin, “Welcome to the Everything Boom, or Maybe the Everything Bubble”, New York Times, July 7, 2014.
References
Beck, M., & Geoghegan, R. (2010). The art of proof. New York: Springer Science+Business Media.
Devlin, K. (2002). Kurt Gödel—separating truth from proof in mathematics. Science, Volume 298, December 6 issue, 1899–1900.
Gerstein, L. J. (2012). Introduction to mathematical structures and proofs, Second Edition. New York: Springer Science+Business Media.
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Yu, K. (2019). Logic and Proof. In: Mathematical Economics. Springer Texts in Business and Economics. Springer, Cham. https://doi.org/10.1007/978-3-030-27289-0_1
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DOI: https://doi.org/10.1007/978-3-030-27289-0_1
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