Synthese 113 (1):1-41 (1997)
This paper reconstructs the Peircean interpretation of Kant's doctrine on the syntheticity of mathematics. Peirce correctly locates Kant's distinction in two different sources: Kant's lack of access to polyadic logic and, more interestingly, Kant's insight into the role of ingenious experiments required in theorem-proving. In this second respect, Kant's analytic/synthetic distinction is identical with the distinction Peirce discovered among types of mathematical reasoning. I contrast this Peircean theory with two other prominent views on Kant's syntheticity, i.e. the Russellian and the Beckian views, and show how Peirce's interpretation of Kant solves the dilemma that each of these two views faces. I also show that Hintikka's criterion for Kant's synthetic judgments, i.e. a new individual introduced by the -instantiation rule, does not capture the most important characteristic of Peirce's theorematic reasoning, i.e. the process of choosing a correct individual.
|Keywords||Philosophy Philosophy Epistemology Logic Metaphysics Philosophy of Language|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
The Forgotten Individual: Diagrammatic Reasoning in Mathematics.Sun-Joo Shin - 2012 - Synthese 186 (1):149-168.
New Light on Peirce's Conceptions of Retroduction, Deduction, and Scientific Reasoning.Ahti-Veikko Pietarinen & Francesco Bellucci - 2015 - International Studies in the Philosophy of Science 28 (4):353-373.
It Adds Up After All: Kant's Philosophy of Arithmetic in Light of the Traditional Logic.R. Lanier Anderson - 2004 - Philosophy and Phenomenological Research 69 (3):501–540.
Diagrammatic Reasoning in Frege's Begriffsschrift.Danielle Macbeth - 2012 - Synthese 186 (1):289-314.
Diagrammatic Reasoning: Some Notes on Charles S. Peirce and Friedrich A. Lange.Francesco Bellucci - 2013 - History and Philosophy of Logic 34 (4):293 - 305.
Similar books and articles
Kant on Fundamental Geometrical Relations.Daniel Sutherland - 2005 - Archiv für Geschichte der Philosophie 87 (2):117-158.
Kant's Conception of Virtue.Lara Denis - 2006 - In Paul Guyer (ed.), Cambridge Companion to Kant and Modern Philosophy. Cambridge University Press.
The Analytic-Synthetic Distinction and the Classical Model of Science: Kant, Bolzano and Frege.Willem R. de Jong - 2010 - Synthese 174 (2):237-261.
Does Peirce Reject Transcendental Philosophy?Gabriele Gava - 2011 - Archiv für Geschichte der Philosophie 93 (2):195-221.
Peirce's 'Prescision' as a Transcendental Method.Gabriele Gava - 2011 - International Journal of Philosophical Studies 19 (2):231 - 253.
Kant's Theory of Geometrical Reasoning and the Analytic-Synthetic Distinction. On Hintikka's Interpretation of Kant's Philosophy of Mathematics.W. R. de Jong - 1997 - Studies in History and Philosophy of Science Part A 28 (1):141-166.
Kant on the Content of Cognition.Clinton Tolley - 2012 - European Journal of Philosophy 20 (4):200-228.
The Synthetic a Priori in Kant and German Idealism.Seung-Kee Lee - 2009 - Archiv für Geschichte der Philosophie 91 (3):288-328.
Added to index2009-01-28
Total downloads55 ( #91,029 of 2,146,876 )
Recent downloads (6 months)20 ( #19,097 of 2,146,876 )
How can I increase my downloads?
There are no threads in this forum
Nothing in this forum yet.