Kant-Studien 99 (1):80-98 (2008)
|Abstract||It is occasionally claimed that the important work of philosophers, physicists, and mathematicians in the nineteenth and in the early twentieth centuries made Kant’s critical philosophy of geometry look somewhat unattractive. Indeed, from the wider perspective of the discovery of non-Euclidean geometries, the replacement of Newtonian physics with Einstein’s theories of relativity, and the rise of quantificational logic, Kant’s philosophy seems “quaint at best and silly at worst”.1 While there is no doubt that Kant’s transcendental project involves his own conceptions of Newtonian physics, Euclidean geometry and Aristotelian logic, the issue at stake is whether the replacement of these conceptions collapses Kant’s philosophy into an unfortunate embarrassment.2 Thus, in evaluating the debate over the contemporary relevance of Kant’s philosophical project one is faced with the following two questions: (1) Are there any contradictions between the scientific developments of our era and Kant’s philosophy? (2) What is left from the Kantian legacy in light of our modern conceptions of logic, geometry and physics? Within this broad context, this paper aims to evaluate the Kantian project vis à vis the discovery and application of non-Euclidean geometries. Many important philosophers have evaluated Kant’s philosophy of geometry throughout the last century,3 but opinions with regard to the impact of non-Euclidean geometries on it diverge. In the beginning of the century there was a consensus that the Euclidean character of space should be considered as a consequence of the Kantian project, i.e., of the metaphysical view of space and of the synthetic a priori character of geometry. The impact of non-Euclidean geometries was then thought as undermining the Kantian project since it implied, according to positivists such..|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Kristina Engelhard & Peter Mittelstaedt (2008). Kant's Theory of Arithmetic: A Constructive Approach? [REVIEW] Journal for General Philosophy of Science 39 (2):245 - 271.
Helen De Cruz (2007). An Enhanced Argument for Innate Elementary Geometric Knowledge and its Philosophical Implications. In Bart Van Kerkhove (ed.), New perspectives on mathematical practices. Essays in philosophy and history of mathematics. World Scientific.
David J. Stump (2007). The Independence of the Parallel Postulate and Development of Rigorous Consistency Proofs. History and Philosophy of Logic 28 (1):19-30.
Michael Friedman (1998). Kantian Themes in Contemporary Philosophy: Michael Friedman. Aristotelian Society Supplementary Volume 72 (1):111–130.
Ragnar Fjelland (1991). The Theory-Ladenness of Observations, the Role of Scientific Instruments, and the Kantian a Priori. International Studies in the Philosophy of Science 5 (3):269 – 280.
Amit Hagar (2002). Thomas Reid and Non-Euclidean Geometry. Reid Studies 5 (2):54-64.
David Stump (1991). Poincaré's Thesis of the Translatability of Euclidean and Non-Euclidean Geometries. Noûs 25 (5):639-657.
Added to index2009-01-28
Total downloads95 ( #8,670 of 722,681 )
Recent downloads (6 months)5 ( #17,026 of 722,681 )
How can I increase my downloads?