Results for 'geometry'

946 found
Order:
  1. Harald Schwaetzer.Bunte Geometrie - 2009 - In Klaus Reinhardt, Harald Schwaetzer & Franz-Bernhard Stammkötter, Heymericus de Campo: Philosophie Und Theologie Im 15. Jahrhundert. Roderer. pp. 28--183.
    No categories
     
    Export citation  
     
    Bookmark  
  2.  12
    D'Erehwon à l'Antre du Cyclope.Géométrie de L'Incommunicable & La Folie - 1988 - In Barry Smart, Michel Foucault: critical assessments. New York: Routledge.
    Direct download  
     
    Export citation  
     
    Bookmark  
  3. Vigier III.Spin Foam Spinors & Fundamental Space-Time Geometry - 2000 - Foundations of Physics 30 (1).
  4. Instruction to Authors 279–283 Index to Volume 20 285–286.Christian Lotz, Corinne Painter, Sebastian Luft, Harry P. Reeder, Semantic Texture, Luciano Boi, Questions Regarding Husserlian Geometry, James R. Mensch & Postfoundational Phenomenology Husserlian - 2004 - Husserl Studies 20:285-286.
     
    Export citation  
     
    Bookmark  
  5.  13
    Analysis, constructions and diagrams in classical geometry.Panza Marco - 2021 - Metodo. International Studies in Phenomenology and Philosophy 9 (1):181-220.
    Greek ancient and early modern geometry necessarily uses diagrams. Among other things, these enter geometrical analysis. The paper distinguishes two sorts of geometrical analysis and shows that in one of them, dubbed “intra-confgurational” analysis, some diagrams necessarily enter as outcomes of a purely material gesture, namely not as result of a codifed constructive procedure, but as result of a free-hand drawing.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  6. Time and physical geometry.Hilary Putnam - 1967 - Journal of Philosophy 64 (8):240-247.
  7. (1 other version)Philosophy of Geometry from Riemann to Poincaré.Roberto Torretti - 1978 - Revue Philosophique de la France Et de l'Etranger 172 (3):565-572.
     
    Export citation  
     
    Bookmark   58 citations  
  8. Quantifying the subjective: Psychophysics and the geometry of color.Alistair M. C. Isaac - 2013 - Philosophical Psychology 26 (2):207 - 233.
    Early psychophysical methods as codified by Fechner motivate the development of quantitative theories of subjective experience. The basic insight is that just noticeable differences between experiences can serve as units for measuring a sensory domain. However, the methods described by Fechner tacitly assume that the experiences being investigated can be linearly ordered. This assumption is not true for all sensory domains; for example, there is no trivial linear order over all possible color sensations. This paper discusses key developments in the (...)
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark   9 citations  
  9. On the Foundations of Geometry.Henri Poincaré - 1898 - The Monist 9 (1):1-43.
  10.  10
    An expressive two-sorted spatial logic for plane projective geometry.Philippe Balbiani - 1998 - In Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev, Advances in Modal Logic. CSLI Publications. pp. 49-68.
    No categories
    Direct download  
     
    Export citation  
     
    Bookmark  
  11. (1 other version)Recalcitrant Disagreement in Mathematics: An “Endless and Depressing Controversy” in the History of Italian Algebraic Geometry.Silvia De Toffoli & Claudio Fontanari - 2023 - Global Philosophy 33 (38):1-29.
    If there is an area of discourse in which disagreement is virtually absent, it is mathematics. After all, mathematicians justify their claims with deductive proofs: arguments that entail their conclusions. But is mathematics really exceptional in this respect? Looking at the history and practice of mathematics, we soon realize that it is not. First, deductive arguments must start somewhere. How should we choose the starting points (i.e., the axioms)? Second, mathematicians, like the rest of us, are fallible. Their ability to (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  12. Edmund Husserl’s ‘Origin of Geometry’: An Introduction.Jacques Derrida - 1978 - University of Nebraska.
    Derrida's introduction to his French translation of Husserl's essay "The Origin of Geometry," arguing that although Husserl privileges speech over writing in an account of meaning and the development of scientific knowledge, this privilege is in fact unstable.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   74 citations  
  13.  42
    The quantized geometry of visual space: The coherent computation of depth, form, and lightness.Stephen Grossberg - 1983 - Behavioral and Brain Sciences 6 (4):625.
  14.  32
    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.
  15. The Problem of Universality, Necessity, and Cognitive Precision Viewed in the Light of Kant’s Constructivist Approach to Geometry.Saša Laketa - 2024 - Filozofska Istrazivanja 44 (2):311-330.
    Kant claims that the cognitive consensus about the deductive consistency and coherence of constructive geometric concepts, and their subsequent precise application in the realm of experience, results from the transcendental ideality of space and time and the distinction based on it; the distinction between phenomenal reality and reality as it is. All objects of possible experience are necessarily perceived in universal and necessary space-time relations, and this is also the condition for the possibility of universal, necessary, and precise application of (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  16. Kant's theory of geometry.Michael Friedman - 1985 - Philosophical Review 94 (4):455-506.
  17.  68
    Less cybernetics, more geometry….René Thom - 1985 - Behavioral and Brain Sciences 8 (1):166-167.
  18. Geometrical Objects as Properties of Sensibles: Aristotle’s Philosophy of Geometry.Emily Katz - 2019 - Phronesis 64 (4):465-513.
    There is little agreement about Aristotle’s philosophy of geometry, partly due to the textual evidence and partly part to disagreement over what constitutes a plausible view. I keep separate the questions ‘What is Aristotle’s philosophy of geometry?’ and ‘Is Aristotle right?’, and consider the textual evidence in the context of Greek geometrical practice, and show that, for Aristotle, plane geometry is about properties of certain sensible objects—specifically, dimensional continuity—and certain properties possessed by actual and potential compass-and-straightedge drawings (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   9 citations  
  19. Natural number and natural geometry.Elizabeth S. Spelke - 2011 - In Stanislas Dehaene & Elizabeth Brannon, Space, Time and Number in the Brain: Searching for the Foundations of Mathematical Thought. Oxford University Press. pp. 287--317.
    No categories
     
    Export citation  
     
    Bookmark   15 citations  
  20. The Primacy of Geometry.Meir Hemmo & Amit Hagar - 2013 - Studies in the History and Philosophy of Modern Physics 44 (3):357-364.
    We argue that current constructive approaches to the special theory of relativity do not derive the geometrical Minkowski structure from the dynamics but rather assume it. We further argue that in current physics there can be no dynamical derivation of primitive geometrical notions such as length. By this we believe we continue an argument initiated by Einstein.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   12 citations  
  21.  38
    A Proposition of Elementary Plane Geometry that Implies the Continuum Hypothesis.Frederick Bagemihl - 1961 - Mathematical Logic Quarterly 7 (1-5):77-79.
  22. What can geometry explain?Graham Nerlich - 1979 - British Journal for the Philosophy of Science 30 (1):69-83.
  23. (1 other version)On the Foundations of Geometry and Formal Theories of Arithmetic.Gottlob Frege - 1974 - Mind 83 (329):131-133.
    No categories
     
    Export citation  
     
    Bookmark   23 citations  
  24. 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.
  25.  42
    Salomon Maimon's Theory of Invention: Scientific Genius, Analysis and Euclidean Geometry.Idit Chikurel - 2020 - Boston: De Gruyter.
    How can we invent new certain knowledge in a methodical manner? This question stands at the heart of Salomon Maimon's theory of invention. Chikurel argues that Maimon's contribution to the ars inveniendi tradition lies in the methods of invention which he prescribes for mathematics. Influenced by Proclus' commentary on Elements, these methods are applied on examples taken from Euclid's Elements and Data. Centering around methodical invention and scientific genius, Maimon's philosophy is unique in an era glorifying the artistic genius, known (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  26. Objectivity and Rigor in Classical Italian Algebraic Geometry.Silvia De Toffoli & Claudio Fontanari - 2022 - Noesis 38:195-212.
    The classification of algebraic surfaces by the Italian School of algebraic geometry is universally recognized as a breakthrough in 20th-century mathematics. The methods by which it was achieved do not, however, meet the modern standard of rigor and therefore appear dubious from a contemporary viewpoint. In this article, we offer a glimpse into the mathematical practice of the three leading exponents of the Italian School of algebraic geometry: Castelnuovo, Enriques, and Severi. We then bring into focus their distinctive (...)
    Direct download  
     
    Export citation  
     
    Bookmark   1 citation  
  27.  16
    An expressive two-sorted spatial logic for plane projective geometry.Philippe Balbiani - 1998 - In Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev, Advances in Modal Logic. CSLI Publications. pp. 49-68.
    No categories
    Direct download  
     
    Export citation  
     
    Bookmark  
  28.  53
    The application of mereology to grounding of elementary geometry.Edmund Glibowski - 1969 - Studia Logica 24 (1):109-129.
  29.  15
    Nanoindentation of wet and dry compact bone: Influence of environment and indenter tip geometry on the indentation modulus.G. Guidoni, M. Swain & I. Jäger - 2010 - Philosophical Magazine 90 (5):553-565.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  30. On Models of Elementary Elliptic Geometry.W. Schwabhauser - 1965 - In J. W. Addison, The theory of models. Amsterdam,: North-Holland Pub. Co..
     
    Export citation  
     
    Bookmark   1 citation  
  31.  72
    Algebraic Fields and the Dynamical Approach to Physical Geometry.Tushar Menon - 2019 - Philosophy of Science 86 (5):1273-1283.
    Brown and Pooley’s ‘dynamical approach’ to physical theories asserts, in opposition to the orthodox position on physical geometry, that facts about physical geometry are grounded in, or explained by, facts about dynamical fields, not the other way round. John Norton has claimed that the proponent of the dynamical approach is illicitly committed to spatiotemporal presumptions in ‘constructing’ space-time from facts about dynamical symmetries. In this article, I present an abstract, algebraic formulation of field theories and demonstrate that the (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   10 citations  
  32. (1 other version)Frege and Kant on geometry.Michael Dummett - 1982 - Inquiry: An Interdisciplinary Journal of Philosophy 25 (2):233 – 254.
    In his Grundlagen, Frege held that geometrical truths.are synthetic a priori, and that they rest on intuition. From this it has been concluded that he thought, like Kant, that space and time are a priori intuitions and that physical objects are mere appearances. It is plausible that Frege always believed geometrical truths to be synthetic a priori; the virtual disappearance of the word ‘intuition’ from his writings from after 1885 until 1924 suggests, on the other hand, that he became dissatisfied (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   12 citations  
  33.  76
    Analysis in greek geometry.Richard Robinson - 1936 - Mind 45 (180):464-473.
    No categories
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark   18 citations  
  34. Kant on real definitions in geometry.Jeremy Heis - 2014 - Canadian Journal of Philosophy 44 (5-6):605-630.
    This paper gives a contextualized reading of Kant's theory of real definitions in geometry. Though Leibniz, Wolff, Lambert and Kant all believe that definitions in geometry must be ‘real’, they disagree about what a real definition is. These disagreements are made vivid by looking at two of Euclid's definitions. I argue that Kant accepted Euclid's definition of circle and rejected his definition of parallel lines because his conception of mathematics placed uniquely stringent requirements on real definitions in (...). Leibniz, Wolff and Lambert thus accept definitions that Kant rejects because they assign weaker roles to real definitions. (shrink)
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark   11 citations  
  35. On the reality of space-time geometry and the wavefunction.Jeeva Anandan & Harvey R. Brown - 1995 - Foundations of Physics 25 (2):349--60.
    The action-reaction principle (AR) is examined in three contexts: (1) the inertial-gravitational interaction between a particle and space-time geometry, (2) protective observation of an extended wave function of a single particle, and (3) the causal-stochastic or Bohm interpretation of quantum mechanics. A new criterion of reality is formulated using the AR principle. This criterion implies that the wave function of a single particle is real and justifies in the Bohm interpretation the dual ontology of the particle and its associated (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   30 citations  
  36. How euclidean geometry has misled metaphysics.Graham Nerlich - 1991 - Journal of Philosophy 88 (4):169-189.
  37. 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 (...)
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark   16 citations  
  38. John Wesley Young: Lectures on Fundamental Concepts of Algebra and Geometry.William Wells Denton - 1912 - Mind 21 (83):445-448.
    No categories
     
    Export citation  
     
    Bookmark  
  39. R. Buccheri (ed.), The Nature of Time: Geometry, Physics and Perception.Stuart R. Hameroff - 2003
     
    Export citation  
     
    Bookmark  
  40. James Robert Goetsch, Jr., Vico's Axioms: The Geometry of the Human Wordl Reviewed by.Brian Richardson - 1997 - Philosophy in Review 17 (1):38-39.
  41.  13
    Sakha world model: semantics considered in terms of geometry of forms.M. T. Satanar & V. V. Illarionov - 2018 - Liberal Arts in Russiaроссийский Гуманитарный Журналrossijskij Gumanitarnyj Žurnalrossijskij Gumanitarnyj Zhurnalrossiiskii Gumanitarnyi Zhurnal 7 (6):471.
    No categories
    Direct download  
     
    Export citation  
     
    Bookmark  
  42.  30
    A Symmetric Primitive notion for Euclidean Geometry.Dana Scott - 1968 - Journal of Symbolic Logic 33 (2):288-289.
    Direct download  
     
    Export citation  
     
    Bookmark   1 citation  
  43.  66
    The Relation of Space and Geometry to Experience.Norbert Weiner - 1922 - The Monist 32 (2):200-247.
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark  
  44. Cassirer and the Structural Turn in Modern Geometry.Georg Schiemer - 2018 - Journal for the History of Analytical Philosophy 6 (3).
    The paper investigates Ernst Cassirer’s structuralist account of geometrical knowledge developed in his Substanzbegriff und Funktionsbegriff. The aim here is twofold. First, to give a closer study of several developments in projective geometry that form the direct background for Cassirer’s philosophical remarks on geometrical concept formation. Specifically, the paper will survey different attempts to justify the principle of duality in projective geometry as well as Felix Klein’s generalization of the use of geometrical transformations in his Erlangen program. The (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   6 citations  
  45. The cognitive geometry of war.Barry Smith - 1989 - In Constraints on Correspondence. Hölder/Pichler/Tempsky. pp. 394--403.
    When national borders in the modern sense first began to be established in early modern Europe, non-contiguous and perforated nations were a commonplace. According to the conception of the shapes of nations that is currently preferred, however, nations must conform to the topological model of circularity; their borders must guarantee contiguity and simple connectedness, and such borders must as far as possible conform to existing topographical features on the ground. The striving to conform to this model can be seen at (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   10 citations  
  46. A 2-dimensional geometry for biological time.Francis Bailly, Giuseppe Longo & Maël Montévil - 2011 - Progress in Biophysics and Molecular Biology 106:474 - 484.
    This paper proposes an abstract mathematical frame for describing some features of biological time. The key point is that usual physical (linear) representation of time is insufficient, in our view, for the understanding key phenomena of life, such as rhythms, both physical (circadian, seasonal …) and properly biological (heart beating, respiration, metabolic …). In particular, the role of biological rhythms do not seem to have any counterpart in mathematical formalization of physical clocks, which are based on frequencies along the usual (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  47. Against Pointillisme about Geometry.Jeremy Butterfield - 2006 - In Friedrich Stadler & Michael Stöltzner, Time and History: Proceedings of the 28. International Ludwig Wittgenstein Symposium, Kirchberg Am Wechsel, Austria 2005. Frankfurt, Germany: De Gruyter. pp. 181-222.
    This paper forms part of a wider campaign: to deny pointillisme. That is the doctrine that a physical theory's fundamental quantities are defined at points of space or of spacetime, and represent intrinsic properties of such points or point-sized objects located there; so that properties of spatial or spatiotemporal regions and their material contents are determined by the point-by-point facts. More specifically, this paper argues against pointillisme about the structure of space and-or spacetime itself, especially a paper by Bricker (1993). (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   12 citations  
  48.  30
    Orienting in virtual environments: How are surface features and environmental geometry weighted in an orientation task?Debbie M. Kelly & Walter F. Bischof - 2008 - Cognition 109 (1):89-104.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  49.  45
    Essay Review: Oresme Redivivus: Nicole Oresme and the Medieval Geometry of Qualities and Motions. A Treatise on the Uniformity and Difformity of Intensities Known as Tractatus de configurationibus qualitatum et motuumNicole Oresme and the Medieval Geometry of Qualities and Motions. A Treatise on the Uniformity and Difformity of Intensities known as Tractatus de configurationibus qualitatum et motuum. Edited with an introduction, English translation and commentary by ClagettMarshall . Pp. xiv + 714. $15.00.A. George Molland - 1969 - History of Science 8 (1):106-119.
  50.  17
    (1 other version)Violence, Penetration, and the Girardian Geometry of Desire.Thomas Ryba - 2019 - Researcher. European Journal of Humanities and Social Sciences 2 (2):57-73.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
1 — 50 / 946