Kant’s philosophy of mathematics

The Cambridge Companion to Kant and Modern Philosophy

Volumn , Issue , 2006, Pages 94-128

  Shabel, Lisa ^a  

^a OHIO STATE UNIVERSITY   (United States)

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[No Author keywords available]

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EID: 84928363474     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1017/CCOL052182303X.004     Document Type: Chapter

References (32)

1. Christian Wolff, Preliminary Discourse on Philosophy in General (Indianapolis: Bobbs-Merrill Co, Inc., 1963 [1779]), p. 77.
2. G. H. R. Parkinson, “Philosophy and Logic,” in Nicholas Jolley, ed., The Cambridge Companion to Leibniz (Cambridge: Cambridge University Press, 1995).
3. G. W. Leibniz, New Essays in Human Understanding, Peter Remnant and Jonathan Bennett, eds. and trans. (Cambridge: Cambridge University Press, 1996 [1704]), IV, I, pp. 360–1.
4. Moses Mendelssohn, “On Evidence in Metaphysical Sciences,” in Daniel Dahlstrom, ed., Philosophical Writings (Cambridge: Cambridge University Press, 1997 [1763]).
5. Paul Guyer, “Mendelssohn and Kant: One Source of the Critical Philosophy,” Philosophical Topics, 19:1 (1991).
6. Mendelssohn, “On Evidence,” p. 257.
7. Mendelssohn, “On Evidence,” p. 258.
8. Stewart Shapiro, ed., The Oxford Handbook of Philosophy of Math and Logic (Oxford: Oxford University Press, 20)
9. T. L. Heath, ed. and trans. (New York: Dover, 1956), p. 316.
10. Lewis White Beck, “Kant’s Theory of Definition,” in Hoke Robinson, ed., Selected Essays on Kant (Rochester: University of Rochester Press, 2002).
11. Lisa Shabel, “Kant on the “Symbolic Construction’ of Mathematical Concepts,” Studies in History and Philosophy of Science, 29:4 (1998).
12. Michael Friedman, Kant and the Exact Sciences. (Cambridge, MA: Harvard University Press, 1992), Chapter 2.
13. Gordon Brittan, Jaako Hintikka, Philip Kitcher, Charles Parsons, Manley Thompson, and J. Michael Young collected in Carl Posy, ed., Kant’s Philosophy of Mathematics: Modern Essays (Dordrecht: Kluwer Academic Publishers, 1992).
14. Lisa Shabel, Mathematics in Kant’s Critical Philosophy: Reflections on Mathematical Practice (New York: Routledge, 2003).
15. Lisa Shabel, “Kant’s “Argument from Geometry,’” Journal of the History of Philosophy, 42:2 (2004).
16. Longuenesse, Kant and the Capacity to Judge, pp. 287–291.
17. Emily Carson, “Kant on Intuition in Geometry,” Canadian Journal of Philosophy, 27:4 (1997).
18. Michael Friedman, “Geometry, Construction and Intuition in Kant and his Successors,” in Gila Sher and Richard Tieszen, eds., Between Logic and Intuition: Essays in Honor of Charles Parsons (Cambridge: Cambridge University Press, 2000).
19. J. Michael Young’s “Construction, Schematism and Imagination,” in Posy, Kant’s Philosophy of Mathematics, and Longuenesse, Kant and the Capacity to Judge, Chapters 8 and 9.
20. Paul Guyer, Kant and the Claims of Knowledge (Cambridge: Cambridge University Press, 1987), p. 159.
21. Longuenesse, Kant and the Capacity to Judge, especially Chapters 8 and 9.
22. Jill Vance Buroker, Space and Incongruence: The Origin of Kant’s Idealism (Dordrecht: D. Reidel, 1981).
23. P. F. Strawson, The Bounds of Sense (London: Routledge, 1995 [1966]), Part 5.
24. Sebastian Gardner, Routledge Philosophy Guidebook to Kant and the Critique of Pure Reason (New York: Routledge, 1999), Chapter 5
25. Henry Allison, Kant’s Transcendental Idealism (New Haven: Yale University Press, 1983).
26. Gottlob Frege, On the Foundations of Geometry and Formal Theories of Arithmetic (New Haven, CT: Yale University Press, 1971 [1903– 1906]).
27. L. E. J. Brouwer, CollectedWorks 1. Philosophy and Foundations of Mathematics, A. Heyting, ed. (Amsterdam: North Holland Publishing Company, 1975)
28. L. E. J. Brouwer, Brouwer’s Cambridge Lectures on Intuitionism, D. van Dalen, ed. (Cambridge: Cambridge University Press, 1981).
29. Edmund Husserl, Philosophy of Arithmetic: Psychological and Logical Investigations with supplementary texts from 1887–1901, Dallas Willard, ed. and trans. (Dordrecht: Kluwer Academic Publishers, 2003).
30. Bertrand Russell, An Essay on the Foundations of Geometry (New York: Dover, 1956), Chapter 2.
31. Bertrand Russell, Principles of Mathematics (New York: Norton, 1938), Chapter LII.
32. Imre Lakatos, Proofs and Refutations: The Logic of Mathematical Discovery (Cambridge: Cambridge University Press, 1976).