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From depth relevance to connexivity
Journal article   Open access   Peer reviewed

From depth relevance to connexivity

Fernando Cano-Jorge
The Australasian journal of logic, Vol.22(5), pp.684-720
10/09/2025
Handle:
https://hdl.handle.net/10523/48028

Abstract

Relevant logics connexive logics sociative logics depth relevance na¨ıvena¨ıve set theory inconsistent mathematics
Brady [4] used the matrix for Meyer’s crystal lattice CL to build ahierachical model structure for his deep relevant logic DRd. In this paperwe modify the matrix for CL so as to define a connexive conditional. Indoing so, we arrive at a family of connexive logics satisfying the depthrelevance property. As a result, we show a way to satisfactorily combineconnexivity and relevance without trivializing the logic and without vali-dating unappealing theorems
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Published (Version of record)CC BY V4.0 Open Access
url
https://doi.org/10.26686/ajl.v22i5.8926View
Published (Version of record)CC BY V4.0 Open

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