Philosophy and Phenomenological Research 69 (3):501–540 (2004)
Officially, for Kant, judgments are analytic iff the predicate is "contained in" the subject. I defend the containment definition against the common charge of obscurity, and argue that arithmetic cannot be analytic, in the resulting sense. My account deploys two traditional logical notions: logical division and concept hierarchies. Division separates a genus concept into exclusive, exhaustive species. Repeated divisions generate a hierarchy, in which lower species are derived from their genus, by adding differentia(e). Hierarchies afford a straightforward sense of containment: genera are contained in the species formed from them. Kant's thesis then amounts to the claim that no concept hierarchy conforming to division rules can express truths like '7+5=12.' Kant is correct. Operation concepts ( ) bear two relations to number concepts: and are inputs, is output. To capture both relations, hierarchies must posit overlaps between concepts that violate the exclusion rule. Thus, such truths are synthetic
|Keywords||Analytic Philosophy Contemporary Philosophy Philosophy of Mind|
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References found in this work BETA
Making It Explicit: Reasoning, Representing, and Discursive Commitment.Robert B. Brandom - 1994 - Harvard University Press.
Critique of Pure Reason (Translated and Edited by Paul Guyer & Allen W. Wood).Immanuel Kant - 1998 - Cambridge: Cambridge University Press.
Citations of this work BETA
Neo-Kantianism and the Roots of Anti-Psychologism.R. Lanier Anderson - 2005 - British Journal for the History of Philosophy 13 (2):287-323.
Kant's Conception of Analytic Judgment.Ian Proops - 2005 - Philosophy and Phenomenological Research 70 (3):588–612.
Infinity and Givenness: Kant on the Intuitive Origin of Spatial Representation.Daniel Smyth - 2014 - Canadian Journal of Philosophy 44 (5-6):551-579.
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