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On a three-valued logical calculus and its application to the analysis of the paradoxes of the classical extended functional calculus
History and Philosophy of Logic 2 (1-2):87-112 (1981)
Abstract
A three-valued propositional logic is presented, within which the three values are read as ?true?, ?false? and ?nonsense?. A three-valued extended functional calculus, unrestricted by the theory of types, is then developed. Within the latter system, Bochvar analyzes the Russell paradox and the Grelling-Weyl paradox, formally demonstrating the meaninglessness of bothMy notes
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Citations of this work
Theories of truth based on four-valued infectious logics.Damian Szmuc, Bruno Da Re & Federico Pailos - 2020 - Logic Journal of the IGPL 28 (5):712-746.
Defining LFIs and LFUs in extensions of infectious logics.Szmuc Damian Enrique - 2016 - Journal of Applied Non-Classical Logics 26 (4):286-314.
Off-Topic: A New Interpretation of Weak-Kleene Logic.Jc Beall - 2016 - Australasian Journal of Logic 13 (6).
An Epistemic Interpretation of Paraconsistent Weak Kleene Logic.Damian E. Szmuc - forthcoming - Logic and Logical Philosophy:1.
A computational interpretation of conceptivism.Thomas Macaulay Ferguson - 2014 - Journal of Applied Non-Classical Logics 24 (4):333-367.
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