A Procedural Theory of Concepts and the Problem of Synthetic a Priori

Korean Journal of Logic 7 (1):1-22 (2004)
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Abstract

The Kantian idea that some judgments are synthetic even in the area of a priori judgments cannot be accepted in its original version, but a modification of the notions analytic' and 'synthetic' discovers a rational core of that idea. The new definition of 'analytic' concerns concepts and makes it possible to distinguish between analytic concepts, which are effective ways of computing recursive functions, and synthetic concepts, which either define non-recursive functions, or define recursive functions in an ineffective way. To justify this claim we have to construe concepts as abstract procedures not reducible to set-theoretical entities.

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Citations of this work

The Paradox of Inference and the Non-Triviality of Analytic Information.Marie Duží - 2010 - Journal of Philosophical Logic 39 (5):473 - 510.
Concepts and recipes.Pavel Materna - 2009 - Acta Analytica 24 (1):69-90.

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