Semantic Regularity and the Liar Paradox
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I argue that the Liar paradox forces us to abandon the principle of Semantic
Regularity, which says that there are perfectly reliable, principled
relationships between our behaviour, mental states and physical environment on
the one hand, and what we mean by our utterances on the other hand.
Relinquishing Semantic Regularity opens the way to a solution to the Liar which
is one hundred percent classical, and which does not generate a strengthened
Liar paradox or revenge problem; it also yields solutions to semantic
indeterminacy arguments such as those of Quine, Davidson, Putnam and
Kripkenstein, to the problem of empty names, and to a recalcitrant problem in
the literature on vagueness, the problem of false precision.