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THE INADEQUACY OF A PROPOSED PARACONSISTENT SET THEORY

✍ Scribed by BJØRDAL, FRODE


Book ID
120001242
Publisher
Cambridge University Press
Year
2010
Tongue
English
Weight
40 KB
Volume
4
Category
Article
ISSN
1755-0203

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Models for a paraconsistent set theory
✍ Thierry Libert 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 269 KB

In this paper the existence of natural models for a paraconsistent version of naive set theory is discussed. These stand apart from the previous attempts due to the presence of some non-monotonic ingredients in the comprehension scheme they fulfill. Particularly, it is proved here that allowing the

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✍ Peter Apostoli 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 965 KB

This paper articulates the structure of a two species of weakly aggregative necessity in a common idiom, neighbourhood semantics, using the notion of a k-filter of propositions. A k-filter on a non-empty set I is a collection of subsets of I which (i) contains I, (ii) is closed under supersets on I,