Variations on a theme by Yablo
| Abstract | Naive truth theory is, roughly, the theory of truth that in classical logic leads to well-known paradoxes (such as the Liar paradox and the Curry paradox). One response to these paradoxes is to weaken classical logic by restricting the law of excluded middle and introducing a conditional not defined from the other connectives in the usual way. In "New Grounds for Naive Truth Theory" ([12]), Steve Yablo develops a new version of this response, and cites three respects in which he deems it superior to a version that I’ve advocated in several papers. I think he’s right that my version was non-optimal in some of these respects (one and a half of them, to be precise); however, Yablo’s own account seems to me to have some undesirable features as well. In this paper I will explore some variations on his account, and end up tentatively advocating a synthesis of his account and mine (one that is somewhat closer to mine than to his). | |||||||||
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