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  1. Kant's Theory of Science.Gordon G. Brittan - 2015 - Princeton University Press.
    While interest in Kant's philosophy has increased in recent years, very little of it has focused on his theory of science. This book gives a general account of that theory, of its motives and implications, and of the way it brought forth a new conception of the nature of philosophical thought. To reconstruct Kant's theory of science, the author identifies unifying themes of his philosophy of mathematics and philosophy of physics, both undergirded by his distinctive logical doctrines, and shows how (...)
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  • The Principles of Mathematics.Bertrand Russell - 1903 - Revue de Métaphysique et de Morale 11 (4):11-12.
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  • Kant and the foundations of mathematics.Philip Kitcher - 1975 - Philosophical Review 84 (1):23-50.
    T HE heart of Kant's views on the nature of mathematics is his thesis that the judgments of pure mathematics are synthetic a priori. Kant usually offers this as one thesis, but it is fruitful to regard it as consisting of two separate claims, a meta- physical subthesis and an epistemological ..
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  • Prolegomena to any future metaphysics.Immanuel Kant - 2007 - Journal of Philosophy (16):507-508.
  • Visual geometry.James Hopkins - 1973 - Philosophical Review 82 (1):3-34.
    We cannot imagine two straight lines intersecting at two points even though they may do so. In this case our abilities to imagine depend upon our abilities to visualise.
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  • Kantian Intuitions.Jaakko Hintikka - 1972 - Inquiry: An Interdisciplinary Journal of Philosophy 15:341.
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  • Kant on the Mathematical Method.Jaakko Hintikka - 1967 - The Monist 51 (3):352-375.
    According to Kant, “mathematical knowledge is the knowledge gained by reason from the construction of concepts.” In this paper, I shall make a few suggestions as to how this characterization of the mathematical method is to be understood.
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  • C. S. Peirce's.Jaakko Hintikka - 1980 - The Monist 63 (3):304-315.
    Like Leibniz, C. S. Peirce drew much of the inspiration for his philosophical work from a close study of logical and mathematical reasoning. Now what insights did this study reveal to Peirce? His own answer is formulated as follows: “My first real discovery about mathematical procedure was that there are two kinds of necessary reasoning, which I call the Corollarial and the Theorematic.…” The import of this discovery was lost on philosophers for a long time. The purpose of the present (...)
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  • Logic, language-games and information: Kantian themes in the philosophy of logic.Jaakko Hintikka - 1973 - Oxford,: Clarendon Press.
    I LOGIC IN PHILOSOPHY— PHILOSOPHY OF LOGIC i. On the relation of logic to philosophy I n this book, the consequences of certain logical insights for ...
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  • Kant and the exact sciences.Michael Friedman - 1992 - Cambridge, Mass.: 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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  • The Foundations of Geometry.David Hilbert - 1899 - Open Court Company (This Edition Published 1921).
    §30. Significance of Desargues's theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 CHAPTER VI. PASCAL'S THEOREM. §31. ...
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  • Kant's metaphysics and theory of science.Gottfried Martin - 1955 - Westport, Conn.,: Greenwood Press.
  • Introduction to mathematical philosophy.Bertrand Russell - 1920 - Revue de Métaphysique et de Morale 27 (2):4-5.
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  • On the Nature of Mathematical Truth.Carl G. Hempel - 1945 - In P. Benacerraf H. Putnam (ed.), Philosophy of Mathematics. Prentice-Hall. pp. 366--81.
  • Studies in the Philosophy of Kant.Lewis White Beck - 1967 - Philosophy 42 (162):378-379.
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  • Critique of Pure Reason.I. Kant - 1787/1998 - Philosophy 59 (230):555-557.
  • Kant's philosophy of arithmetic.Charles Parsons - 1982 - In Ralph Charles Sutherland Walker (ed.), Kant on Pure Reason. Oxford University Press.
  • Geometry and empirical science.Carl Hempel - unknown