On Beall’s New Interpretation of $$WK_{3}$$ W K 3

Journal of Logic, Language and Information 28 (1):1-7 (2019)
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Abstract

I argue that a recent philosophical interpretation by Jc Beall of the middle value of Weak Kleene logic as ‘being off-topic’ is untenable. My main claim is that “being off-topic” is a relation, not a property, and as such cannot serve as an interpretation of a truth-value.

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10.1007/s10849-018-9274-6

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Nissim Francez
Technion, Israel Institute of Technology

Citations of this work

A Reinterpretation of Beall’s ‘Off-Topic’ Semantics.Jeremiah Joven B. Joaquin - 2022 - Journal of Logic, Language and Information 31 (3):409-421.
Structural proof theory for first-order weak Kleene logics.Andreas Fjellstad - 2020 - Journal of Applied Non-Classical Logics 30 (3):272-289.
Weak Kleene and Other Weak Logics of Conditionals.Jeremiah Joven Joaquin - 2023 - Notre Dame Journal of Formal Logic 64 (3):281-290.

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References found in this work

A useful four-valued logic.N. D. Belnap - 1977 - In J. M. Dunn & G. Epstein (eds.), Modern Uses of Multiple-Valued Logic. D. Reidel.
Introduction to Metamathematics.H. Rasiowa - 1954 - Journal of Symbolic Logic 19 (3):215-216.
How a computer should think.Nuel Belnap - 1977 - In Gilbert Ryle (ed.), Contemporary aspects of philosophy. Boston: Oriel Press.
Introduction to Metamathematics.Ann Singleterry Ferebee - 1968 - Journal of Symbolic Logic 33 (2):290-291.

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