Characterizing generics are material inference tickets: a proof-theoretic analysis
Abstract
ABSTRACTAn adequate semantics for generic sentences must stake out positions across a range of contested territory in philosophy and linguistics. For this reason the study of generic sentences is a venue for investigating different frameworks for understanding human rationality as manifested in linguistic phenomena such as quantification, classification of individuals under kinds, defeasible reasoning, and intensionality. Despite the wide variety of semantic theories developed for generic sentences, to date these theories have been almost universally model-theoretic and representational. This essay outlines a range of proof-theoretic analyses for characterizing generics. Particular attention is given to an expressivist proof-theory that can be traced to 1) work on logical syntax that Carnap undertook prior to his turn toward truth-conditional model theory in the late 1930s, and 2) research on sequent calculi and natural deduction systems that originate in work from Gentzen and Prawitz.1.Author's Profile
DOI
10.1080/0020174x.2019.1580839
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Citations of this work
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Nature, Purpose, and Norm: A Program in American Philosophy.Preston Stovall - 2016 - Journal of the American Philosophical Association 2 (4):617-636.
References found in this work
How to Do Things with Words: The William James Lectures Delivered in Harvard University in 1955.J. L. Austin - 1962 - Oxford, England: Oxford University Press UK.
The Original Sin of Cognition: Fear Prejudice, and Generalization.Sarah-Jane Leslie - 2017 - Journal of Philosophy 114 (8):393-421.
Defaults in update semantics.Frank Veltman - 1996 - Journal of Philosophical Logic 25 (3):221 - 261.
Circumscription — A Form of Non-Monotonic Reasoning.John McCarthy - 1980 - Artificial Intelligence 13 (1-2):27–39.