In praise of a logic of definitions that tolerates ω‐inconsistency

Philosophical Issues 28 (1):176-195 (2018)
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I argue that a general logic of definitions must tolerate ω‐inconsistency. I present a semantical scheme, S, under which some definitions imply ω‐inconsistent sets of sentences. I draw attention to attractive features of this scheme, and I argue that S yields the minimal general logic of definitions. I conclude that any acceptable general logic should permit definitions that generate ω‐inconsistency. This conclusion gains support from the application of S to the theory of truth.



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Anil Gupta
University of Pittsburgh

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References found in this work

Outline of a theory of truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
The semantic conception of truth and the foundations of semantics.Alfred Tarski - 1943 - Philosophy and Phenomenological Research 4 (3):341-376.
Axiomatic theories of truth.Volker Halbach - 2008 - Stanford Encyclopedia of Philosophy.
The Revision Theory of Truth. [REVIEW]Vann McGee - 1996 - Philosophy and Phenomenological Research 56 (3):727-730.

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