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Visual geometry

Philosophical Review 82 (1):3-34 (1973)

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  1. Kant's syntheticity revisited by Peirce.Sun-joo Shin - 1997 - Synthese 113 (1):1-41.
    This paper reconstructs the Peircean interpretation of Kant's doctrine on the syntheticity of mathematics. Peirce correctly locates Kant's distinction in two different sources: Kant's lack of access to polyadic logic and, more interestingly, Kant's insight into the role of ingenious experiments required in theorem-proving. In this second respect, Kant's analytic/synthetic distinction is identical with the distinction Peirce discovered among types of mathematical reasoning. I contrast this Peircean theory with two other prominent views on Kant's syntheticity, i.e. the Russellian and the (...)
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  • Kant on concepts and intuitions in the mathematical sciences.Michael Friedman - 1990 - Synthese 84 (2):213 - 257.
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  • Shape Perception in a Relativistic Universe.Peter Fisher Epstein - 2018 - Mind 127 (506):339-379.
    According to Minkoswki, Einstein's special theory of relativity reveals that ‘space by itself, and time by itself are doomed to fade away into mere shadows’. But perceptual experience represents objects as instantiating shapes like squareness — properties of ‘space by itself’. Thus, STR seems to threaten the veridicality of shape experience. In response to this worry, some have argued that we should analyze the contents of our spatial experiences on the model of traditional secondary qualities. On this picture—defended in recent (...)
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  • Aprioristic yearnings. [REVIEW]Philip Kitcher - 1996 - Erkenntnis 44 (3):397-416.
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  • Merleau-Ponty and the transcendental problem of bodily agency.Rasmus Thybo Jensen - 2013 - In Rasmus Thybo Jensen & Dermot Moran (eds.), The Phenomenology of Embodied Subjectivity, Contributions to Phenomenology 71. Springer. pp. 43-61.
    I argue that we find the articulation of a problem concerning bodily agency in the early works of the Merleau-Ponty which he explicates as analogous to what he explicitly calls the problem of perception. The problem of perception is the problem of seeing how we can have the object given in person through it perspectival appearances. The problem concerning bodily agency is the problem of seeing how our bodily movements can be the direct manifestation of a person’s intentions in the (...)
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  • Contemporary Arguments for a Geometry of Visual Experience.Phillip John Meadows - 2009 - European Journal of Philosophy 19 (3):408-430.
    Abstract: In this paper I consider recent attempts to establish that the geometry of visual experience is a spherical geometry. These attempts, offered by Gideon Yaffe, James van Cleve and Gordon Belot, follow Thomas Reid in arguing for an equivalency of a geometry of ‘visibles’ and spherical geometry. I argue that although the proposed equivalency is successfully established by the strongest form of the argument, this does not warrant any conclusion about the geometry of visual experience. I argue, firstly, that (...)
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  • Kant's transcendental imagination.Gary Banham - 2005 - New York: Palgrave-Macmillan.
    The role and place of transcendental psychology in Kant's Critique of Pure Reason has been a source of some contention. This work presents a detailed argument for restoring transcendental psychology to a central place in the interpretation of Kant's Analytic, in the process providing a detailed response to more "austere" analytic readings.
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  • Molyneux's question and the phenomenology of shape.Shogo Shimizu - unknown
    William Molyneux raised the following question: if a congenital blind person is made to see, and is visually presented with a cube and a globe, would he be able to call the shapes before him a cube and a globe before touching them? Locke, Berkeley, Leibniz, and Reid presented their phenomenological view of shape perception, i.e. their view as to what it is like to perceive shape by sight and touch, in responding to Molyneux’s Question. The four philosophers shared the (...)
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  • The Dimensionality of Visual Space.William H. Rosar - 2016 - Topoi 35 (2):531-570.
    The empirical study of visual space has centered on determining its geometry, whether it is a perspective projection, flat or curved, Euclidean or non-Euclidean, whereas the topology of space consists of those properties that remain invariant under stretching but not tearing. For that reason distance is a property not preserved in topological space whereas the property of spatial order is preserved. Specifically the topological properties of dimensionality, orientability, continuity, and connectivity define “real” space as studied by physics and are the (...)
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  • A Case of Non-Euclidean Visualization.Steven M. Rosen - 1974 - Journal of Phenomenological Psychology 5 (1):33-39.
    The paper examines the philosophical implications of a phenomenon in the psychology of perception: the Mueller-Lyer illusion. In this visual effect, the impression is created that a horizontal line enclosed by acute angles is shorter than a similar line flanked by obtuse angles, though the lines are of equal length when measured with a ruler. While the Mueller-Lyer effect may be merely illusory when one adheres to the metrical laws of perceptual geometry based on Euclid, it is suggested that, from (...)
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  • Archimedean Intuitions.Matthew E. Moore - 2002 - Theoria 68 (3):185-204.
    The Archimedean Axiom is often held to be an intuitively obvious truth about the geometry of physical space. After a general discussion of the varieties of geometrical intuition that have been proposed, I single out one variety which we can plausibly be held to have and then argue that it does not underwrite the intuitive obviousness of the Archimedean Axiom. Generalizing that result, I conclude that the Axiom is not intuitively obvious.
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  • Unruly photons: Or, why cant colors march to the band of secondness?Floyd Merrell - 2001 - Semiotica 2001 (136).
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  • Review: Aprioristic Yearnings. [REVIEW]Philip Kitcher - 1996 - Erkenntnis 44 (3):397 - 416.
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  • Kant on space, empirical realism and the foundations of geometry.William Harper - 1984 - Topoi 3 (2):143-161.
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  • Thomas Reid’s geometry of visibles and the parallel postulate.Giovanni B. Grandi - 2005 - Studies in History and Philosophy of Science Part A 36 (1):79-103.
    Thomas Reid (1710–1796) presented a two-dimensional geometry of the visual field in his Inquiry into the human mind (1764), whose axioms are different from those of Euclidean plane geometry. Reid’s ‘geometry of visibles’ is the same as the geometry of the surface of the sphere, described without reference to points and lines outside the surface itself. Interpreters of Reid seem to be divided in evaluating the significance of his geometry of visibles in the history of the discovery of non-Euclidean geometries. (...)
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  • Questions regarding Husserlian geometry and phenomenology. A study of the concept of manifold and spatial perception.Luciano Boi - 2004 - Husserl Studies 20 (3):207-267.
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  • Observational concepts and experience.Ivan V. Ivanov - 2016 - Dissertation, University of Warwick
    The thesis is intended to contribute to the growing understanding of the indispensable role played by phenomenal consciousness in human cognition, and specifically in making our concepts of the external world available. The focus falls on so called observational concepts, a type of rudimentary, perceptually-based objective concepts in our repertoire — picking out manifest properties such as colors and shapes. A theory of such concepts gets provided, and, consequently, the exact role that perceptual consciousness plays in making concepts of this (...)
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  • Kant’s Theory of Geometry in Light of the Development of Non-Euclidean Geometries.Martha King - 2007 - Lyceum 8 (2).
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