12 found
Order:
See also
Lisa Shabel
Ohio State University
  1. Kant on the ‘Symbolic Construction' of Mathematical Concepts.Lisa Shabel - 1998 - Studies in History and Philosophy of Science Part A 29 (4):589-621.
    In the chapter of the Critique of Pure Reason entitled ‘The Discipline of Pure Reason in Dogmatic Use’, Kant contrasts mathematical and philosophical knowledge in order to show that pure reason does not (and, indeed, cannot) pursue philosophical truth according to the same method that it uses to pursue and attain the apodictically certain truths of mathematics. In the process of this comparison, Kant gives the most explicit statement of his critical philosophy of mathematics; accordingly, scholars have typically focused their (...)
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography   13 citations  
  2. Reflections On Kant’s Concept Of Space.Lisa Shabel - 2003 - Studies in History and Philosophy of Science Part A 34 (1):45-57.
    In this paper, I investigate an important aspect of Kant’s theory of pure sensible intuition. I argue that, according to Kant, a pure concept of space warrants and constrains intuitions of finite regions of space. That is, an a priori conceptual representation of space provides a governing principle for all spatial construction, which is necessary for mathematical demonstration as Kant understood it.Author Keywords: Kant; Space; Pure sensible intuition; Philosophy of mathematics.
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography   2 citations  
  3. Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice.Lisa Shabel - 2002 - Routledge.
    This book provides a reading of Kant's theory of the construction of mathematical concepts through a fully contextualised analysis. In this work the author argues that it is only through an understanding of the relevant eighteenth century mathematics textbooks, and the related mathematical practice, that the material and context necessary for a successful interpretation of Kant's philosophy can be provided.
     
    Export citation  
     
    My bibliography   12 citations  
  4. Kant's "Argument From Geometry".Lisa Shabel - 2004 - Journal of the History of Philosophy 42 (2):195-215.
    : Kant's 'argument from geometry' is usually interpreted to be a regressive transcendental argument in support of the claim that we have a pure intuition of space. In this paper I defend an alternative interpretation of this argument according to which it is rather a progressive synthetic argument meant to identify and establish the essential role of pure spatial intuition in geometric cognition. In the course of reinterpreting the 'argument from geometry' I reassess the arguments of the Aesthetic and illustrate (...)
    Direct download (5 more)  
     
    Export citation  
     
    My bibliography   7 citations  
  5.  23
    The Transcendental Aesthetic.Lisa Shabel - 2010 - In Paul Guyer (ed.), The Cambridge Companion to Kant's Critique of Pure Reason. Cambridge University Press.
  6.  22
    Introduction.Emily Carson & Lisa Shabel - 2014 - Canadian Journal of Philosophy 44 (5-6):519-523.
    Direct download (5 more)  
     
    Export citation  
     
    My bibliography   1 citation  
  7.  37
    Apriority and Application: Philosophy of Mathematics in the Modern Period.Lisa Shabel - 2005 - In Stewart Shapiro (ed.), The Oxford Handbook of Philosophy of Mathematics and Logic. Oxford University Press. pp. 29--50.
    In the 17th and 18th centuries, mathematics was understood to be the science that systematized our knowledge of magnitude, or quantity. But the mathematical notion of magnitude and the methods used to investigate it underwent a period of radical transformation during the modern period, which forced philosophers of mathematics to confront a changing mathematical landscape. In this context, the modern philosopher of mathematics had to provide an account of the apriority and applicability of mathematical reasoning, as such reasoning was then (...)
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography   1 citation  
  8. Review: Gardner, Sebastian, Kant and the Critique of Pure Reason.Lisa Shabel - 2001 - Mind 110 (439):753-756.
  9.  5
    Kant and the Critique of Pure Reason. Sebastian Gardner. [REVIEW]Lisa Shabel - 2001 - Mind 110 (439):753-756.
    No categories
    Direct download  
     
    Export citation  
     
    My bibliography  
  10.  3
    Lisa A. Shabel. Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice. Studies in Philosophy Outstanding Dissertations, Robert Nozick, Ed. New York & London: Routledge, 2003. ISBN 0-415-93955-0. Pp. 178. [REVIEW]Lisa Shabel - 2007 - Philosophia Mathematica 15 (3):366-386.
    In this interesting and engaging book, Shabel offers an interpretation of Kant's philosophy of mathematics as expressed in his critical writings. Shabel's analysis is based on the insight that Kant's philosophical standpoint on mathematics cannot be understood without an investigation into his perception of mathematical practice in the seventeenth and eighteenth centuries. She aims to illuminate Kant's theory of the construction of concepts in pure intuition—the basis for his conclusion that mathematical knowledge is synthetic a priori. She does this through (...)
    Direct download  
     
    Export citation  
     
    My bibliography  
  11. Kant: Studies on Mathematics in the Critical Philosophy.Emily Carson & Lisa Shabel (eds.) - 2015 - Routledge.
    There is a long tradition, in the history and philosophy of science, of studying Kant’s philosophy of mathematics, but recently philosophers have begun to examine the way in which Kant’s reflections on mathematics play a role in his philosophy more generally, and in its development. For example, in the Critique of Pure Reason , Kant outlines the method of philosophy in general by contrasting it with the method of mathematics; in the Critique of Practical Reason , Kant compares the Formula (...)
     
    Export citation  
     
    My bibliography  
  12. Mathematics in Kant's Critical Philosophy.Emily Carson & Lisa Shabel (eds.) - 2015 - Routledge.
    There is a long tradition, in the history and philosophy of science, of studying Kant’s philosophy of mathematics, but recently philosophers have begun to examine the way in which Kant’s reflections on mathematics play a role in his philosophy more generally, and in its development. For example, in the Critique of Pure Reason , Kant outlines the method of philosophy in general by contrasting it with the method of mathematics; in the Critique of Practical Reason , Kant compares the Formula (...)
     
    Export citation  
     
    My bibliography