Results for 'Geometry Philosophy'

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  1.  91
    Geometry and Monadology: Leibniz's Analysis Situs and Philosophy of Space.Vincenzo De Risi - 2007 - Birkhäuser.
    This book reconstructs, both from the historical and theoretical points of view, Leibniz's geometrical studies, focusing in particular on the research Leibniz ...
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  2.  8
    Philosophy of Geometry From Riemann to Poincare. By Roberto Torretti.Steven James Bartlett - 1981 - Modern Schoolman 58 (2):136-136.
    A review of Roberto Torretti's book, "Philosophy of Geometry from Riemann to Poincare.".
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  3.  26
    The Geometry of Knowledge: Lewis, Becker, Carnap and the Formalization of Philosophy in the 1920s.Alan Richardson - 2003 - Studies in History and Philosophy of Science 34 (1):165-182.
    On an ordinary view of the relation of philosophy of science to science, science serves only as a topic for philosophical reflection, reflection that proceeds by its own methods and according to its own standards. This ordinary view suggests a way of writing a global history of philosophy of science that finds substantially the same philosophical projects being pursued across widely divergent scientific eras. While not denying that this view is of some use regarding certain themes of and (...)
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  4.  91
    Ernst Cassirer's Neo-Kantian Philosophy of Geometry.Jeremy Heis - 2011 - British Journal for the History of Philosophy 19 (4):759 - 794.
    One of the most important philosophical topics in the early twentieth century and a topic that was seminal in the emergence of analytic philosophy was the relationship between Kantian philosophy and modern geometry. This paper discusses how this question was tackled by the Neo-Kantian trained philosopher Ernst Cassirer. Surprisingly, Cassirer does not affirm the theses that contemporary philosophers often associate with Kantian philosophy of mathematics. He does not defend the necessary truth of Euclidean geometry but (...)
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  5.  45
    Space–Time Philosophy Reconstructed Via Massive Nordström Scalar Gravities? Laws Vs. Geometry, Conventionality, and Underdetermination.J. Brian Pitts - 2016 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 53:73-92.
    What if gravity satisfied the Klein-Gordon equation? Both particle physics from the 1920s-30s and the 1890s Neumann-Seeliger modification of Newtonian gravity with exponential decay suggest considering a "graviton mass term" for gravity, which is _algebraic_ in the potential. Unlike Nordström's "massless" theory, massive scalar gravity is strictly special relativistic in the sense of being invariant under the Poincaré group but not the 15-parameter Bateman-Cunningham conformal group. It therefore exhibits the whole of Minkowski space-time structure, albeit only indirectly concerning volumes. Massive (...)
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  6.  36
    Kant's Schematism and His Philosophy of Geometry.Frank J. Leavitt - 1991 - Studies in History and Philosophy of Science Part A 22 (4):647-659.
    Kant's philosophy of geometry rests upon his doctrine of the "schematism" which I argue is formally identical to the ability to grass the middle term of an Aristotelian syllogism. The doctrine fails to avoid obscurities which were already present in Plato, Aristotle, and Hume.
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  7.  74
    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 (...)
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  8.  59
    Geometry and Generality in Frege's Philosophy of Arithmetic.Jamie Tappenden - 1995 - Synthese 102 (3):319 - 361.
    This paper develops some respects in which the philosophy of mathematics can fruitfully be informed by mathematical practice, through examining Frege's Grundlagen in its historical setting. The first sections of the paper are devoted to elaborating some aspects of nineteenth century mathematics which informed Frege's early work. (These events are of considerable philosophical significance even apart from the connection with Frege.) In the middle sections, some minor themes of Grundlagen are developed: the relationship Frege envisions between arithmetic and (...) and the way in which the study of reasoning is to illuminate this. In the final section, it is argued that the sorts of issues Frege attempted to address concerning the character of mathematical reasoning are still in need of a satisfying answer. (shrink)
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  9.  69
    Kant's Philosophy of Geometry--On the Road to a Final Assessment.L. Kvasz - 2011 - Philosophia Mathematica 19 (2):139-166.
    The paper attempts to summarize the debate on Kant’s philosophy of geometry and to offer a restricted area of mathematical practice for which Kant’s philosophy would be a reasonable account. Geometrical theories can be characterized using Wittgenstein’s notion of pictorial form . Kant’s philosophy of geometry can be interpreted as a reconstruction of geometry based on one of these forms — the projective form . If this is correct, Kant’s philosophy is a reasonable (...)
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  10. Kant's Philosophy of Geometry.William Mark Goodwin - 2003 - Dissertation, University of California, Berkeley
    In my dissertation, I argue that contemporary interpretive work on Kant's philosophy of geometry has failed to understand properly the diagrammatic aspects of Euclidean reasoning. Attention to these aspects is amply repaid, not only because it provides substantial insight into the role of intuition in Kant's philosophy of mathematics, but also because it brings out both the force and the limitations of Kant's philosophical account of geometry. ;Kant characterizes the predecessors with which he was engaged as (...)
     
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  11.  5
    Geometry and Philosophy.Veit Pittioni - 1989 - Philosophy and History 22 (2):132-133.
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  12.  4
    Philosophy of Geometry From Riemann to Poincare.Nicholas Griffin & Roberto Torretti - 1978 - Philosophical Quarterly 31 (125):374.
  13. Philosophy and Geometry Theoretical and Historical Issues.Lorenzo Magnani - 2001 -
     
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  14.  72
    Surmounting the Cartesian Cut Through Philosophy, Physics, Logic, Cybernetics, and Geometry: Self-Reference, Torsion, the Klein Bottle, the Time Operator, Multivalued Logics and Quantum Mechanics. [REVIEW]Diego L. Rapoport - 2011 - Foundations of Physics 41 (1):33-76.
    In this transdisciplinary article which stems from philosophical considerations (that depart from phenomenology—after Merleau-Ponty, Heidegger and Rosen—and Hegelian dialectics), we develop a conception based on topological (the Moebius surface and the Klein bottle) and geometrical considerations (based on torsion and non-orientability of manifolds), and multivalued logics which we develop into a unified world conception that surmounts the Cartesian cut and Aristotelian logic. The role of torsion appears in a self-referential construction of space and time, which will be further related to (...)
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  15.  64
    The Constructible and the Intelligible in Newton's Philosophy of Geometry.Mary Domski - 2003 - Philosophy of Science 70 (5):1114-1124.
    In the preface to the Principia (1687) Newton famously states that “geometry is founded on mechanical practice.” Several commentators have taken this and similar remarks as an indication that Newton was firmly situated in the constructivist tradition of geometry that was prevalent in the seventeenth century. By drawing on a selection of Newton's unpublished texts, I hope to show the faults of such an interpretation. In these texts, Newton not only rejects the constructivism that took its birth in (...)
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  16.  80
    Conventionalism and Realism in Hans Reichenbach's Philosophy of Geometry.Carsten Klein - 2001 - International Studies in the Philosophy of Science 15 (3):243 – 251.
    Hans Reichenbach's so-called geometrical conventionalism is often taken as an example of a positivistic philosophy of science, based on a verificationist theory of meaning. By contrast, we shall argue that this view rests on a misinterpretation of Reichenbach's major work in this area, the Philosophy of Space and Time (1928). The conception of equivalent descriptions, which lies at the heart of Reichenbach's conventionalism, should be seen as an attempt to refute Poincaré's geometrical relativism. Based upon an examination of (...)
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  17.  32
    Philosophy of Geometry From Riemann to Poincaré. [REVIEW]L. S. - 1982 - Review of Metaphysics 35 (3):633-634.
  18.  16
    Lorenzo Magnani, Philosophy and Geometry, Theoretical and Historical Issues.Stavros Kiriakakis - 2003 - Philosophical Inquiry 25 (3-4):262-266.
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  19.  16
    Three Diverse Sciences in Hobbes: First Philosophy, Geometry, and Physics.William Sacksteder - 1992 - Review of Metaphysics 45 (4):739 - 772.
  20. Rules for the Direction of the Mind ; Discourse on the Method ; Meditations on First Philosophy ; Objections Against the Meditations and Replies ; the Geometry Ethics.René Descartes, Benedictus de Spinoza, Elizabeth Sanderson Haldane & G. R. T. Ross - 1963 - W. Benton, Encyclopaedia Britannica.
  21.  2
    Philosophy and Geometry.L. Magnani - 2001 - Kluwer Academic Publisher.
    The total irrelevance of absolute space to scientific observation and experiment led him early to a most radical conclusion: experience cannot teach us anything about the true structure of space; consequently, the choice of a geometry for the ...
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  22. Poincarés Philosophy of Geometry, or Does Geometric Conventionalism Deserve its Name?E. G. Zahar - 1997 - Studies in History and Philosophy of Science Part B 28 (2):183-218.
  23. Philosophy, Geometry, and Logic in Leibniz, Wolff, and the Early Kant.Daniel Sutherland - 2010 - In Michael Friedman, Mary Domski & Michael Dickson (eds.), Discourse on a New Method: Reinvigorating the Marriage of History and Philosophy of Science. Open Court.
  24.  21
    The Historical and Conceptual Relations Between Kant's Metaphysics of Space and Philosophy of Geometry.Ted Humphrey - 1973 - Journal of the History of Philosophy 11 (4):483-512.
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  25.  29
    Squaring the Circle: Hobbes on Philosophy and Geometry.Alexander Bird - 1996 - Journal of the History of Ideas 57 (2):217–31.
    Hobbes ' geometrical disputes are significant since they highlight several important strands in his thought - issues concerning the right to make definitions, his anti-clericalism, the maker's knowledge argument and his objections to algebra. These are examined, and the foundational position, according to Hobbes, of geomentry in relation to philosophy, science and technology, explained and discussed.
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  26.  17
    Geometry, Relativity, and Philosophy.Theophanes Grammenos - 2015 - Metascience 24 (1):141-145.
    David Malament, now emeritus at the University of California, Irvine, where since 1999 he served as a Distinguished Professor of Logic and Philosophy of Science after having spent twenty-three years as a faculty member at the University of Chicago , is well known as the author of numerous articles on the mathematical and philosophical foundations of modern physics with an emphasis on problems of space-time structure and the foundations of relativity theory. Malament’s Topics in the foundations of general relativity (...)
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  27.  2
    Is There Any Room for Spatial Intuition in Riemann’s Philosophy of Geometry?Dinçer Çevik - 2015 - Beytulhikme An International Journal of Philosophy 5 (1):81.
  28.  5
    Music, Geometry, and the Listener: Space in The History of Western Philosophy and Western Classical Music.M. Buck - unknown -
    This thesis is directed towards a philosophy of music by attention to conceptions and perceptions of space. I focus on melody and harmony, and do not emphasise rhythm, which, as far as I can tell, concerns time rather than space. I seek a metaphysical account of Western Classical music in the diatonic tradition. More specifically, my interest is in wordless, untitled music, often called 'absolute' music. My aim is to elucidate a spatial approach to the world combined with a (...)
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  29. Roberto Torretti," Philosophy of Geometry From Riemann to Poincaré".José Pedro Ubeda Rives - 1980 - Teorema: International Journal of Philosophy 10 (1):89-93.
     
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  30.  19
    Philosophy and Geometry: Theoretical and Historical Issues - Lorenzo Magnani, Kluwer Academic Publishers, Dordrecht, 2001, Pp. XIX + 249, US $88. ISBN 0-792-36933-. [REVIEW]R. Torretti - 2003 - Studies in History and Philosophy of Science Part B 34 (1):158-160.
  31.  5
    Notes on the Geometry of Logic and Philosophy.Marcin Wolski - 2002 - Logic and Logical Philosophy 10:223.
    The paper is concerned with topological and geometrical characteristics of ultrafilter space which is widely employed in mathematical logic.Some philosophical applications are offeredtogether with visulisations that reveal the beauty of logical constructions.
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  32.  5
    Geometry and Semantics: An Examination of Putnam's Philosophy of Geometry.Alberto Coffa - 1983 - In R. Cohen & L. Laudan (eds.), Physics, Philosophy, and Psychoanalysis. D. Reidel. pp. 1--30.
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  33. Lorenzo Magnani: Philosophy and Geometry: Theoretical and Historical Issues. [REVIEW]Mary Domski - 2004 - Philosophy of Science 71 (3):412-415.
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  34. Kant's Schematism and His Philosophy of Geometry.Frank Leavitt - 1990 - Studies in History and Philosophy of Science 22 (4):647-659.
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  35. TORRETTI, ROBERTO: "Philosophy of Geometry From Riemann Poincaré". [REVIEW]J. L. Lucas - 1980 - British Journal for the Philosophy of Science 31:414.
  36. What Frege Meant When He Said: Kant is Right About Geometry †This Paper Could Not Have Been Written Without the Support of the Faculty and Graduate Students in the Logic and Philosophy of Science Department at UC Irvine. I Would Especially Like to Thank Aldo Antonelli, Robert May, and Terry Parsons for Their Graduate Seminars on Frege. Conversations with Jeff Barrett and David Malament Helped with Unpacking the More Technical Aspects of Helmholtz's Critique of Kant's Thesis on Euclidean Geometry. I Am Most Indebted to Penelope Maddy for Reading and Commenting on Numerous Drafts. Two Anonymous Referees Should Be Thanked for Raising Significant Questions on Points Requiring Further Clarification. [REVIEW]Teri Merrick - 2006 - Philosophia Mathematica 14 (1):44-75.
    This paper argues that Frege's notoriously long commitment to Kant's thesis that Euclidean geometry is synthetic _a priori_ is best explained by realizing that Frege uses ‘intuition’ in two senses. Frege sometimes adopts the usage presented in Hermann Helmholtz's sign theory of perception. However, when using ‘intuition’ to denote the source of geometric knowledge, he is appealing to Hermann Cohen's use of Kantian terminology. We will see that Cohen reinterpreted Kantian notions, stripping them of any psychological connotation. Cohen's defense (...)
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  37. TORRETTI, R., "Philosophy of Geometry From Riemann to Poincare". [REVIEW]G. Nerlich - 1980 - Australasian Journal of Philosophy 58:185.
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  38. Philosophy and Geometry: Theoretical and Historical Issues.Roberto Torretti - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (1):158-160.
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  39. Philosophy of Geometry From Riemann to Poincaré.Torretti Roberto - 1980 - British Journal for the Philosophy of Science 31 (4):414-416.
     
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  40. Poincarés Philosophy of Geometry, or Does Geometric Conventionalism Deserve its Name?E. G. Zahar - 1997 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 28 (2):183-218.
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  41.  3
    Abstraction and Diagrammatic Reasoning in Aristotle’s Philosophy of Geometry.Justin Humphreys - forthcoming - Apeiron.
    Journal Name: Apeiron Issue: Ahead of print.
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  42. Geometry, Symmetry and Locality in the Philosophy of Special Relativity.Tim Budden - 1996 -
     
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  43.  35
    The Relation of Logic and Intuition in Kant's Philosophy of Science, Particularly Geometry.Ulrich Majer - 2006 - In Emily Carson & Renate Huber (eds.), Intuition and the Axiomatic Method. Springer. pp. 47--66.
  44.  68
    "As Philolaos the Pythagorean Said": Philosophy, Geometry, Freedom.I. Toth & J. Kaplansky - 1998 - Diogenes 46 (182):43-71.
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  45.  39
    A Philosophy of Geometry.Richard J. Hall - 1965 - Philosophia Mathematica (1):13-31.
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  46.  15
    Berkeley's Philosophy of Geometry.Douglas Jesseph - 1990 - Archiv für Geschichte der Philosophie 72 (3):301-332.
  47.  44
    Geometry and Monadology: Leibniz's Analysis Situs and Philosophy of Space, by Vincenzo De Risi.D. Garber - 2010 - Mind 119 (474):472-478.
    (No abstract is available for this citation).
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  48.  10
    Geometric Facts and Geometric Theory : Helmholtz and 20th-Century Philosophy of Physical Geometry.Martin Carrier - unknown -
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  49.  8
    Lorenzo Magnani. Philosophy and Geometry: Theoretical and Historical Issues.E. R. Grosholz - 2004 - Philosophia Mathematica 12 (1):79-80.
  50. Physics, Philosophy, and the Fundations of the Geometry.Michael Friedman - 2002 - Dialogos 37:121-142.
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