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Edgar J. Valdez (2012). Kant's A Priori Intuition of Space Independent of Postulates.

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  1. Kant's Transcendental Idealism.Henry E. Allison - 1988 - Yale University Press.
    This landmark book is now reissued in a new edition that has been vastly rewritten and updated to respond to recent Kantian literature.
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    Kant on Intuition in Geometry.Emily Carson - 1997 - Canadian Journal of Philosophy 27 (4):489 - 512.
  3. Kant and the Exact Sciences.Michael Friedman - 1992 - Harvard University Press.
    In this new book, Michael Friedman argues that Kant's continuing efforts to find a metaphysics that could provide a foundation for the sciences is of the utmost ...
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  4. Kant and Non-Euclidean Geometry.Amit Hagar - 2008 - Kant-Studien 99 (1):80-98.
    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 (...)
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  5. The Critique of Pure Reason.Immanuel Kant, J. M. D. Meiklejohn, Thomas Kingsmill Abbott & James Creed Meredith - 1955 - Encyclopæia Britannica.
     
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    Concepts and Intuitions in Kant's Philosophy of Geometry.Joongol Kim - 2006 - Kant-Studien 97 (2):138-162.
    This paper is an exposition and defense of Kant’s philosophy of geometry. The main thesis is that Euclidean geometry investigates the properties of geometrical objects in an inner space that is given to us a priori (pure space) and hence is a priori and synthetic. This thesis is supported by arguing that Euclidean geometry requires certain intuitive objects (Sect. 1), that these objects are a priori constructions in pure space (Sect. 2), and finally that the role of geometrical construction is (...)
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  7. Collected Works of Bernard Lonergan.Bernard J. F. Lonergan, Frederick E. Crowe, Robert M. Doran & Lonergan Research Institute - 1988
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  8. Intuition and Infinity: A Kantian Theme with Echoes in the Foundations of Mathematics.Carl Posy - 2008 - Royal Institute of Philosophy Supplement 63:165-193.
    Kant says patently conflicting things about infinity and our grasp of it. Infinite space is a good case in point. In his solution to the First Antinomy, he denies that we can grasp the spatial universe as infinite, and therefore that this universe can be infinite; while in the Aesthetic he says just the opposite: ‘Space is represented as a given infinite magnitude’ (A25/B39). And he rests these upon consistently opposite grounds. In the Antinomy we are told that we can (...)
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  9. 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 (...)
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