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Profile: Lisa Shabel (Ohio State University)
  1. Lisa Shabel, Review: Gardner, Kant and the Critique of Pure Reason. [REVIEW]
  2. Lisa Shabel (2010). The Transcendental Aesthetic. In Paul Guyer (ed.), The Cambridge Companion to Kant's Critique of Pure Reason. Cambridge University Press.
  3. Lisa Shabel (2005). Apriority and Application: Philosophy of Mathematics in the Modern Period. In Stewart Shapiro (ed.), The Oxford Handbook of Philosophy of Mathematics and Logic. Oxford University Press. 29--50.
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  4. Lisa Shabel (2004). Kant's "Argument From Geometry". 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 (...)
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  5. Lisa Shabel (2003). Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice. Routledge.
    Mathematics in Kant's Critical Philosophy provides a much needed reading (and re-reading) of Kant's theory of the construction of mathematical concepts through a fully contextualized analysis. In this work Lisa Shabel convincingly argues that it is only through an understanding of the relevant eighteenth century mathematics textbooks, and the related mathematical practice, can the material and context necessary for a successful interpretation of Kant's philosophy be provided. This is borne out through sustained readings of Euclid and Woolf in particular, which, (...)
     
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  6. 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.
    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.
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  7. Lisa Shabel (2001). Kant and the Critique of Pure Reason. Sebastian Gardner. Mind 110 (439):753-756.
  8. Lisa Shabel (1998). Kant on the `Symbolic Construction' of Mathematical Concepts. 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 (...)
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