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32 - Negation and Denial

from Part VI - Some Extensions

Published online by Cambridge University Press:  12 November 2021

Piotr Stalmaszczyk
Affiliation:
University of Lodz, Poland
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Summary

How do negation and denial relate? Is one of them prior to or more basic than the other? Can we, for instance, explain denial in terms of negation; or negation in terms of denial? There is at least a prima facie connection between them, since one way in which we can deny something is to say that it is not the case. We can also use cognate terms such as no, to express a flat rejection, or various prefixes and suffixes for predicates, such as when we say that something is inflexible, unknown, imperfect, nonstandard, or flawless. Negation can be understood in a broad sense linguistically to include these cognates, whereas in formal logic it is understood in a strict and univocal way, where if it is true that P, then it is false that not-P and if it is true that not-P, then it is false that P. Here negation is used as a function from truth-values to truth-values, whereas denial seems to fall into the category of speech act. Even if negation and denial belong to different categories, however, it is plausible that some relation holds between them.

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Publisher: Cambridge University Press
Print publication year: 2021

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