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Inconsistent Arithmetic

Graham Priest

in In Contradiction

Published in print:
2006
Published Online:
May 2007
ISBN:
9780199263301
eISBN:
9780191718823
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199263301.003.0018
Subject:
Philosophy, Logic/Philosophy of Mathematics

The study of formal inconsistent arithmetics has already occasioned a number of interesting technical results, as well as philosophical spin-offs. This chapter looks at some of these. It shows how ... More


Logic and Revisability

Graham Priest

in Doubt Truth to be a Liar

Published in print:
2005
Published Online:
May 2006
ISBN:
9780199263288
eISBN:
9780191603631
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199263280.003.0011
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter argues that logic is a theory, and can be revised as any other scientific theory. The comparison with geometry is helpful in this regard. It also discusses Quine’s views on the matter, ... More


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