Synthese 172 (3) (2010)
|Abstract||According to Alberto Coffa in The Semantic Tradition from Kant to Carnap, Kant’s account of mathematical judgment is built on a ‘semantic swamp’. Kant’s primitive semantics led him to appeal to pure intuition in an attempt to explain mathematical necessity. The appeal to pure intuition was, on Coffa’s line, a blunder from which philosophy was forced to spend the next 150 years trying to recover. This dismal assessment of Kant’s contributions to the evolution of accounts of mathematical necessity is fundamentally backward-looking. Coffa’s account of how semantic theories of the a priori evolved out of Kant’s doctrine of pure intuition rightly emphasizes those developments, both scientific and philosophical, that collectively served to undermine the plausibility of Kant’s account. What is missing from Coffa’s story, apart from any recognition of Kant’s semantic innovations, is an attempt to appreciate Kant’s philosophical context and the distinctive perspective from which Kant viewed issues in the philosophy of mathematics. When Kant’s perspective and context are brought out, he can not only be seen to have made a genuinely progressive contribution to the development of accounts of mathematical necessity, but also to be relevant to contemporary issues in the philosophy of mathematics in underappreciated ways.|
|Keywords||No keywords specified (fix it)|
|Through your library||Configure|
Similar books and articles
Daniel Sutherland (2005). Kant on Fundamental Geometrical Relations. Archiv für Geschichte der Philosophie 87 (2):117-158.
Lisa Shabel (1998). Kant on the `Symbolic Construction' of Mathematical Concepts. Studies in History and Philosophy of Science Part A 29 (4):589-621.
Alan Richardson (1994). Book Review:The Semantic Tradition From Kant to Carnap: To the Vienna Station Alberto Coffa. [REVIEW] Philosophy of Science 61 (1):142-.
Frode Kjosavik (2009). Kant on Geometrical Intuition and the Foundations of Mathematics. Kant-Studien 100 (1):1-27.
Lisa Shabel (2003). Reflections on Kant's Concept (and Intuition) of Space. Studies in History and Philosophy of Science Part A 34 (1):45-57.
Lisa Shabel (2003). Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice. Routledge.
Thomas Mormann (2009). Completions, Constructions, and Corollaries. In H. Pulte, G. Hanna & H.-J. Jahnke (eds.), Explanation and Proof in Mathematics: Philosophical and Educational Perspectives. Springer.
Alberto Coffa (1991). The Semantic Tradition From Kant to Carnap: To the Vienna Station. Cambridge University Press.
C. Pigden (1994). Book Reviews : J. Alberto Coffa, The Semantic Tradition From Carnap to Kant: To the Vienna Station, Cambridge University Press, Cambridge, 1991. Pp. 445. $54.95. [REVIEW] Philosophy of the Social Sciences 24 (4):522-525.
Added to index2009-01-28
Total downloads47 ( #23,106 of 549,087 )
Recent downloads (6 months)1 ( #63,317 of 549,087 )
How can I increase my downloads?