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 both
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Citations of this work BETA
Irving H. Anellis (1987). The Heritage of S. A. Janovskaja. History and Philosophy of Logic 8 (1):45-56.
John N. Martin (1984). The Semantics of Frege'sgrundgesetze. History and Philosophy of Logic 5 (2):143-176.
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