Students often study logic on the assumption that it provides a normative guide to reasoning in English. In particular, they are taught to associate connectives like “and” with counterparts in Sentential Logic. English conditionals go over to formulas with → as principal connective. The well-known difficulties that arise from such translation are not emphasized. The result is the conviction that ordinary reasoning is faulty when discordant with the usual representation in standard logic. Psychologists are particularly susceptible to this attitude.
Motivations for systems of free logics are reviewed and systems are divided according as they are positive (asserting atomic truths with non-denoting terms) negative (denying all such sentences) or neutral. A positive theory is developed and defended. One of the major considerations in favor of the theory is that it allows (via translation) representation of the other points of view. Finally, the relation between free logic and truth theories is elaborated.
kind of joke to ask what is the case if the antecedent is false—“And where are the biscuits if I don’t want any?”, “And what’s on PBS if I’m not interested?”, “And who shot Kennedy if that’s not what I’m asking?”. With normal indicative conditionals like.
H.P. Grice is known principally for his influential contributions to the philosophy of language, but his work also includes treatises on the philosophy of mind, ethics, and metaphysics--much of which is unpublished to date. This collection of original essays by such philosophers as Nancy Cartwright, Donald Davidson, Gilbert Harman, and P.F. Strawson demonstrates the unified and powerful character of Grice's thoughts on being, mind, meaning, and morals. An introductory essay by the editors provides the first overview of Grice's work.
Arguments for the preference of introspective judgments as evidence for syntactic theory are reviewed. A brief historical account of the origins of the presuppositions of the orthodox theory of data collection is given.
