The non-Boolean logic of natural language negation

Philosophia Mathematica 2 (1):45-68 (1994)

Since antiquity two different negations in natural languages have been noted: predicate negation (not honest) and predicate term negation (dishonest). The extensive literature offers no models. We propose category-theoretic models with two distinct negation operators, neither of them in general Boolean. We study combinations of the two (not dishonest) and sentential counterparts of each. We emphasize the relevance of our work for the theory of cognition.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1093/philmat/2.1.45
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 46,425
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles


Added to PP index

Total views
49 ( #181,146 of 2,286,307 )

Recent downloads (6 months)
6 ( #196,066 of 2,286,307 )

How can I increase my downloads?


My notes

Sign in to use this feature