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Be contradictory, because of the infinitude of primes

Susan D'Agostino

in How to Free Your Inner Mathematician: Notes on Mathematics and Life

Published in print:
2020
Published Online:
April 2020
ISBN:
9780198843597
eISBN:
9780191879388
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198843597.003.0029
Subject:
Mathematics, Educational Mathematics, Applied Mathematics

“Be contradictory, because of the infinitude of primes” offers encouragement and practice with the “proof-by-contradiction” method of mathematical proof. Any mathematician will tell you that the ... More


Conclusion

Jody Azzouni

in Attributing Knowledge: What It Means to Know Something

Published in print:
2020
Published Online:
October 2020
ISBN:
9780197508817
eISBN:
9780197508848
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780197508817.003.0013
Subject:
Philosophy, Metaphysics/Epistemology

The hangman/surprise-examination/prediction paradox is solved. It is not solved by denying knowledge closure (although knowledge closure is false). It is not solved by denying KK or denying that ... More


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