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  1. The Euclidean Diagram.Kenneth Manders - 2008 - In Paolo Mancosu (ed.), The Philosophy of Mathematical Practice. Oxford, England: Oxford University Press. pp. 80--133.
    This chapter gives a detailed study of diagram-based reasoning in Euclidean plane geometry (Books I, III), as well as an exploration how to characterise a geometric practice. First, an account is given of diagram attribution: basic geometrical claims are classified as exact (equalities, proportionalities) or co-exact (containments, contiguities); exact claims may only be inferred from prior entries in the demonstration text, but co-exact claims may be asserted based on what is seen in the diagram. Diagram control by constructions is necessary (...)
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  • (8 other versions)Critique of Pure Reason.Immanuel Kant - 1929 - Cambridge: Cambridge University Press. Edited by J. M. D. Meiklejohn. Translated by Paul Guyer & Allen W. Wood.
    This entirely new translation of Critique of Pure Reason by Paul Guyer and Allan Wood is the most accurate and informative English translation ever produced of this epochal philosophical text. Though its simple, direct style will make it suitable for all new readers of Kant, the translation displays a philosophical and textual sophistication that will enlighten Kant scholars as well. This translation recreates as far as possible a text with the same interpretative nuances and richness as the original.
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  • The Philosophy of Mathematical Practice.Paolo Mancosu (ed.) - 2008 - Oxford, England: Oxford University Press.
    There is an urgent need in philosophy of mathematics for new approaches which pay closer attention to mathematical practice. This book will blaze the trail: it offers philosophical analyses of important characteristics of contemporary mathematics and of many aspects of mathematical activity which escape purely formal logical treatment.
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  • Kant on Intuition in Geometry.Emily Carson - 1997 - Canadian Journal of Philosophy 27 (4):489 - 512.
    It's well-known that Kant believed that intuition was central to an account of mathematical knowledge. What that role is and how Kant argues for it are, however, still open to debate. There are, broadly speaking, two tendencies in interpreting Kant's account of intuition in mathematics, each emphasizing different aspects of Kant's general doctrine of intuition. On one view, most recently put forward by Michael Friedman, this central role for intuition is a direct result of the limitations of the syllogistic logic (...)
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  • (5 other versions)Enquiry Concerning Human Understanding.David Hume (ed.) - 1904 - Clarendon Press.
    Oxford Philosophical Texts Series Editor: John Cottingham The Oxford Philosophical Texts series consists of authoritative teaching editions of canonical texts in the history of philosophy from the ancient world down to modern times. Each volume provides a clear, well laid out text together with a comprehensive introduction by a leading specialist, giving the student detailed critical guidance on the intellectual context of the work and the structure and philosophical importance of the main arguments. Endnotes are supplied which provide further commentary (...)
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  • (2 other versions)An enquiry concerning human understanding.David Hume - 2000 - In Steven M. Cahn (ed.), Exploring Philosophy: An Introductory Anthology. New York, NY, United States of America: Oxford University Press USA. pp. 112.
    David Hume's Enquiry concerning Human Understanding is the definitive statement of the greatest philosopher in the English language. His arguments in support of reasoning from experience, and against the "sophistry and illusion"of religiously inspired philosophical fantasies, caused controversy in the eighteenth century and are strikingly relevant today, when faith and science continue to clash. The Enquiry considers the origin and processes of human thought, reaching the stark conclusion that we can have no ultimate understanding of the physical world, or indeed (...)
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  • Kant and the foundations of analytic philosophy.Robert Hanna - 2001 - New York: Oxford University Press.
    Robert Hanna presents a fresh view of the Kantian and analytic traditions that have dominated continental European and Anglo-American philosophy over the last two centuries, and of the connections between them. But this is not just a study in the history of philosophy, for out of this emerges Hanna's original approach to two much-contested theories that remain at the heart of contemporary philosophy. Hanna puts forward a new 'cognitive-semantic' interpretation of transcendental idealism, and a vigorous defense of Kant's theory of (...)
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  • Kant and the exact sciences.Michael Friedman - 1992 - Cambridge: 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 semantic tradition from Kant to Carnap: to the Vienna station.Alberto Coffa - 1991 - New York: Cambridge University Press. Edited by Linda Wessels.
    This major publication is a history of the semantic tradition in philosophy from the early nineteenth century through its incarnation in the work of the Vienna Circle, the group of logical positivists that emerged in the years 1925-1935 in Vienna who were characterised by a strong commitment to empiricism, a high regard for science, and a conviction that modern logic is the primary tool of analytic philosophy. In the first part of the book, Alberto Coffa traces the roots of logical (...)
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  • It Adds Up After All: Kant’s Philosophy of Arithmetic in Light of the Traditional Logic.R. Lanier Anderson - 2004 - Philosophy and Phenomenological Research 69 (3):501–540.
    Officially, for Kant, judgments are analytic iff the predicate is "contained in" the subject. I defend the containment definition against the common charge of obscurity, and argue that arithmetic cannot be analytic, in the resulting sense. My account deploys two traditional logical notions: logical division and concept hierarchies. Division separates a genus concept into exclusive, exhaustive species. Repeated divisions generate a hierarchy, in which lower species are derived from their genus, by adding differentia(e). Hierarchies afford a straightforward sense of containment: (...)
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  • (2 other versions)Mathematical truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
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  • Theoretical philosophy, 1755-1770.Immanuel Kant - 1992 - New York: Cambridge University Press. Edited by David Walford & Ralf Meerbote.
    This is the first volume of the first ever comprehensive edition of the works of Immanuel Kant in English translation. The eleven essays in this volume constitute Kant's theoretical, pre-critical philosophical writings from 1755 to 1770. Several of these pieces have never been translated into English before; others have long been unavailable in English. We can trace in these works the development of Kant's thought to the eventual emergence in 1770 of the two chief tenets of his mature philosophy: the (...)
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  • Critique of Pure Reason.Wolfgang Schwarz - 1966 - Philosophy and Phenomenological Research 26 (3):449-451.
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  • (1 other version)Kant.Paul Guyer - 2006 - New York: Routledge.
    In this updated edition of his outstanding introduction to Kant, Paul Guyer uses Kant’s central conception of autonomy as the key to his thought. Beginning with a helpful overview of Kant’s life and times, Guyer introduces Kant’s metaphysics and epistemology, carefully explaining his arguments about the nature of space, time and experience in his most influential but difficult work, _The Critique of Pure Reason_. He offers an explanation and critique of Kant’s famous theory of transcendental idealism and shows how much (...)
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  • The Bounds of Sense.P. F. Strawson - 1966 - Philosophy 42 (162):379-382.
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  • (2 other versions)Prolegomena to any future metaphysics.Immanuel Kant - 2007 - Journal of Philosophy (16):507-508.
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  • (2 other versions)Critique of Pure Reason.I. Kant - 1787/1998 - Philosophy 59 (230):555-557.
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  • Kant's Gesammelte Schriften.Immanuel Kant - 1928
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  • 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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  • Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice.Lisa Shabel - 2002 - New York: 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.
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  • Introduction: Interpolations—essays in honor of William Craig.Paolo Mancosu - 2008 - Synthese 164 (3):313-319.
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  • The Kant-Eberhard Controversy.R. W. K. Paterson - 1975 - Philosophical Quarterly 25 (100):277.
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  • (1 other version)Foundations of Geometery.David Hilbert & Paul Bernays - 1971 - Open Court.
    The material contained in the following translation was given in substance by Professor Hilbertas a course of lectures on euclidean geometry at the University of G]ottingen during the wintersemester of 1898-1899. The results of his investigation were re-arranged and put into the formin which they appear here as a memorial address published in connection with the celebration atthe unveiling of the Gauss-Weber monument at G]ottingen, in June, 1899. In the French edition, which appeared soon after, Professor Hilbert made some additions, (...)
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