The ambiguity of quantifiers

Philosophical Studies 124 (3):313 - 330 (2005)
In the tradition of substructural logics, it has been claimed for a long time that conjunction and inclusive disjunction are ambiguous:we should, in fact, distinguish between ‘lattice’ connectives (also called additive or extensional) and ‘group’ connectives (also called multiplicative or intensional). We argue that an analogous ambiguity affects the quantifiers. Moreover, we show how such a perspective could yield solutions for two well-known logical puzzles: McGee’s counterexample to modus ponens and the lottery paradox.
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    Bruce Aune (2002). Against Moderate Rationalism. Journal of Philosophical Research 27:1-26.
    Keith DeRose (1996). Knowledge, Assertion and Lotteries. Australasian Journal of Philosophy 74 (4):568 – 580.

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