Search results for 'Geometry Philosophy' (try it on Scholar)

1000+ found
Order:
  1.  89
    Vincenzo De Risi (2007). Geometry and Monadology: Leibniz's Analysis Situs and Philosophy of Space. Birkhäuser.
    This book reconstructs, both from the historical and theoretical points of view, Leibniz's geometrical studies, focusing in particular on the research Leibniz ...
    Direct download  
     
    Export citation  
     
    My bibliography   2 citations  
  2.  88
    Jeremy Heis (2011). Ernst Cassirer's Neo-Kantian Philosophy of Geometry. 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 (...)
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography   6 citations  
  3.  43
    J. Brian Pitts (2016). Space–Time Philosophy Reconstructed Via Massive Nordström Scalar Gravities? Laws Vs. Geometry, Conventionality, and Underdetermination. 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 (...)
    No categories
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
  4.  31
    Frank J. Leavitt (1991). Kant's Schematism and His Philosophy of Geometry. 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.
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography   1 citation  
  5.  19
    A. Richardson (2003). The Geometry of Knowledge: Lewis, Becker, Carnap and the Formalization of Philosophy in the 1920s. Studies in History and Philosophy of Science Part A 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 (...)
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  6.  70
    Joongol Kim (2006). Concepts and Intuitions in Kant's Philosophy of Geometry. 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 (...)
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography   3 citations  
  7.  44
    Jamie Tappenden (1995). Geometry and Generality in Frege's Philosophy of Arithmetic. 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)
    Direct download (5 more)  
     
    Export citation  
     
    My bibliography   3 citations  
  8.  66
    L. Kvasz (2011). Kant's Philosophy of Geometry--On the Road to a Final Assessment. 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 (...)
    Direct download (6 more)  
     
    Export citation  
     
    My bibliography  
  9. William Mark Goodwin (2003). Kant's Philosophy of Geometry. 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 (...)
     
    Export citation  
     
    My bibliography  
  10.  4
    Nicholas Griffin & Roberto Torretti (1981). Philosophy of Geometry From Riemann to Poincare. Philosophical Quarterly 31 (125):374.
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography   17 citations  
  11.  71
    Diego L. Rapoport (2011). 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] 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 (...)
    Direct download (5 more)  
     
    Export citation  
     
    My bibliography  
  12.  22
    Mary Domski (2003). The Constructible and the Intelligible in Newton's Philosophy of Geometry. 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 (...)
    Direct download (6 more)  
     
    Export citation  
     
    My bibliography   5 citations  
  13. Lorenzo Magnani (2001). Philosophy and Geometry Theoretical and Historical Issues.
     
    Export citation  
     
    My bibliography   3 citations  
  14.  77
    Carsten Klein (2001). Conventionalism and Realism in Hans Reichenbach's Philosophy of Geometry. 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 (...)
    Direct download (5 more)  
     
    Export citation  
     
    My bibliography  
  15.  41
    Mary Domski (2003). The Constructible and the Intelligible in Newton's Philosophy of Geometry. 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 (...)
    Direct download (7 more)  
     
    Export citation  
     
    My bibliography   1 citation  
  16. René Descartes, Benedictus de Spinoza, Elizabeth Sanderson Haldane & G. R. T. Ross (1963). Rules for the Direction of the Mind ; Discourse on the Method ; Meditations on First Philosophy ; Objections Against the Meditations and Replies ; the Geometry Ethics. W. Benton, Encyclopaedia Britannica.
  17.  2
    L. Magnani (2001). Philosophy and Geometry. 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 ...
    Direct download  
     
    Export citation  
     
    My bibliography   5 citations  
  18. E. G. Zahar (1997). Poincarés Philosophy of Geometry, or Does Geometric Conventionalism Deserve its Name? Studies in History and Philosophy of Science Part B 28 (2):183-218.
  19. Daniel Sutherland (2010). Philosophy, Geometry, and Logic in Leibniz, Wolff, and the Early Kant. In Michael Friedman, Mary Domski & Michael Dickson (eds.), Discourse on a New Method: Reinvigorating the Marriage of History and Philosophy of Science. Open Court
  20.  16
    Theophanes Grammenos (2015). Geometry, Relativity, and Philosophy. 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 (...)
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  21.  1
    Dinçer Çevik (2015). Is There Any Room for Spatial Intuition in Riemann’s Philosophy of Geometry? Beytulhikme An International Journal of Philosophy 5 (1):81.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  22.  27
    Alexander Bird (1996). Squaring the Circle: Hobbes on Philosophy and Geometry. 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.
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography   1 citation  
  23.  21
    Ted Humphrey (1973). The Historical and Conceptual Relations Between Kant's Metaphysics of Space and Philosophy of Geometry. Journal of the History of Philosophy 11 (4):483-512.
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography   2 citations  
  24.  3
    M. Buck, Music, Geometry, and the Listener: Space in The History of Western Philosophy and Western Classical Music.
    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 (...)
    No categories
    Direct download  
     
    Export citation  
     
    My bibliography  
  25. José Pedro Ubeda Rives (1980). Roberto Torretti," Philosophy of Geometry From Riemann to Poincaré". Teorema: International Journal of Philosophy 10 (1):89-93.
    No categories
     
    Export citation  
     
    My bibliography  
  26.  5
    Veit Pittioni (1989). Geometry and Philosophy. Philosophy and History 22 (2):132-133.
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  27.  5
    Marcin Wolski (2004). Notes on the Geometry of Logic and Philosophy. 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.
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  28.  13
    R. Torretti (2003). Philosophy and Geometry: Theoretical and Historical Issues - Lorenzo Magnani, Kluwer Academic Publishers, Dordrecht, 2001, Pp. XIX + 249, US $88. ISBN 0-792-36933-. [REVIEW] Studies in History and Philosophy of Science Part B 34 (1):158-160.
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  29.  5
    Alberto Coffa (1983). Geometry and Semantics: An Examination of Putnam's Philosophy of Geometry. In R. Cohen & L. Laudan (eds.), Physics, Philosophy, and Psychoanalysis. D. Reidel 1--30.
    Direct download  
     
    Export citation  
     
    My bibliography  
  30. Mary Domski (2004). Lorenzo Magnani: Philosophy and Geometry: Theoretical and Historical Issues. [REVIEW] Philosophy of Science 71 (3):412-415.
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  31. J. L. Lucas (1980). TORRETTI, ROBERTO: "Philosophy of Geometry From Riemann Poincaré". [REVIEW] British Journal for the Philosophy of Science 31:414.
     
    Export citation  
     
    My bibliography  
  32. G. Nerlich (1980). TORRETTI, R., "Philosophy of Geometry From Riemann to Poincare". [REVIEW] Australasian Journal of Philosophy 58:185.
    No categories
     
    Export citation  
     
    My bibliography  
  33. Roberto Torretti (2003). Philosophy and Geometry: Theoretical and Historical Issues. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (1):158-160.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  34. E. G. Zahar (1997). Poincarés Philosophy of Geometry, or Does Geometric Conventionalism Deserve its Name? Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 28 (2):183-218.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  35.  33
    Ulrich Majer (2006). The Relation of Logic and Intuition in Kant's Philosophy of Science, Particularly Geometry. In Emily Carson & Renate Huber (eds.), Intuition and the Axiomatic Method. Springer 47--66.
  36.  68
    I. Toth & J. Kaplansky (1998). "As Philolaos the Pythagorean Said": Philosophy, Geometry, Freedom. Diogenes 46 (182):43-71.
    Direct download (5 more)  
     
    Export citation  
     
    My bibliography  
  37. Tim Budden (1996). Geometry, Symmetry and Locality in the Philosophy of Special Relativity.
     
    Export citation  
     
    My bibliography   2 citations  
  38.  32
    L. S. (1982). Philosophy of Geometry From Riemann to Poincaré. [REVIEW] Review of Metaphysics 35 (3):633-634.
  39.  37
    Richard J. Hall (1965). A Philosophy of Geometry. Philosophia Mathematica (1):13-31.
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
  40.  44
    D. Garber (2010). Geometry and Monadology: Leibniz's Analysis Situs and Philosophy of Space, by Vincenzo De Risi. Mind 119 (474):472-478.
    (No abstract is available for this citation).
    Direct download (6 more)  
     
    Export citation  
     
    My bibliography  
  41.  8
    E. R. Grosholz (2004). Lorenzo Magnani. Philosophy and Geometry: Theoretical and Historical Issues. Philosophia Mathematica 12 (1):79-80.
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  42.  14
    Douglas Jesseph (1990). Berkeley's Philosophy of Geometry. Archiv für Geschichte der Philosophie 72 (3):301-332.
  43. Michael Friedman (2002). Physics, Philosophy, and the Fundations of the Geometry. Dialogos 37:121-142.
    No categories
     
    Export citation  
     
    My bibliography  
  44.  10
    Martin Carrier, Geometric Facts and Geometric Theory : Helmholtz and 20th-Century Philosophy of Physical Geometry.
    Translate
      Direct download  
     
    Export citation  
     
    My bibliography   1 citation  
  45.  16
    Stavros Kiriakakis (2003). Lorenzo Magnani, Philosophy and Geometry, Theoretical and Historical Issues. Philosophical Inquiry 25 (3-4):262-266.
    No categories
    Direct download (5 more)  
     
    Export citation  
     
    My bibliography  
  46.  10
    Francesca Biagioli (2013). Between Kantianism and Empiricism: Otto Hölder's Philosophy of Geometry. Philosophia Scientiæ 17 (17-1):71-92.
    La philosophie de la géométrie de Hölder, si l’on s’en tient à une lecture superficielle, est la part la plus problématique de son épistémologie. Il soutient que la géométrie est fondée sur l’expérience à la manière de Helmholtz, malgré les objections sérieuses de Poincaré. Néanmoins, je pense que la position de Hölder mérite d’être discutée pour deux motifs. Premièrement, ses implications méthodologiques furent importantes pour le développement de son épistémologie. Deuxièmement, Poincaré utilise l’opposition entre le kantisme et l’empirisme comme un (...)
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  47.  8
    Steven J. Bartlett (1981). Philosophy of Geometry From Riemann to Poincare. By Roberto Torretti. Modern Schoolman 58 (2):136-136.
    No categories
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
  48.  13
    William Sacksteder (1992). Three Diverse Sciences in Hobbes: First Philosophy, Geometry, and Physics. Review of Metaphysics 45 (4):739 - 772.
  49.  11
    Roger B. Angel (1982). Philosophy of Geometry From Riemann to Poincaré Roberto Torretti Dordrecht and Boston: D. Reidel Publishing Company, 1978. Pp. Xiii, 459. $50.00 U.S. [REVIEW] Dialogue 21 (2):384-391.
    No categories
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
  50.  9
    S. Albert Kivinen (1984). Stenius on the Philosophy of Geometry. Theoria 50 (2-3):212-240.
    No categories
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
1 — 50 / 1000