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Tic-tac-toe on Affine Planes

Maureen T. Carroll and Steven T. Dougherty

in The Mathematics of Various Entertaining Subjects: Research in Recreational Math

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691164038
eISBN:
9781400881338
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691164038.003.0013
Subject:
Mathematics, History of Mathematics

This chapter introduces a new game of tic-tac-toe that fits squarely within the body of work inspired by mathematician Leonhard Euler's findings on the so-called “Graeco-Latin squares” and the ... More


Truthmakers and Consequence

Neil Tennant

in Core Logic

Published in print:
2017
Published Online:
October 2017
ISBN:
9780198777892
eISBN:
9780191823367
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198777892.003.0008
Subject:
Philosophy, Logic/Philosophy of Mathematics

We compare Tarski’s notion of logical consequence (preservation of truth) with that of Prawitz (transformability of warrants for assertion). The latter is our point of departure for a definition of ... More


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