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Journal Article
The Philosophical Review (2015) 124 (2): 275–278.
Published: 01 April 2015
... in a mathematical structure known as a (separable) Hilbert space, which is an at-most countably infinite dimensional complex vector space. Rays in a Hilbert space represent possible states of a physical system, and self-adjoint operators on that Hilbert space correspond to properties of the system. To treat QM...
Journal Article
The Philosophical Review (2004) 113 (4): 451–506.
Published: 01 October 2004
.... Armstrong, D. 1968 . A Materialist Theory of the Mind . London: Routledge. Averill, E. W. 1985 . Color and the Anthropocentric Problem. Journal of Philosophy 82 : 281 -304. Reprinted in Byrne and Hilbert 1997b, 11-32. ____. 1992 . The Relational Nature of Color. Philosophical Review 101...
Journal Article
The Philosophical Review (2007) 116 (4): 563–601.
Published: 01 October 2007
... . “The Autonomy of Colour.” In Readings on Color. Vol. 1, The Philosophy of Color , ed. Alex Byrne and David Hilbert, 191 -225. Cambridge, MA: MIT Press. Burnyeat, Myles. 1979 . “Conflicting Appearances.” Proceedings of the British Academy 65 : 69 -111. Byrne, Alex. 2006a . “Color and the Mind-Body...
Journal Article
The Philosophical Review (2011) 120 (2): 326–329.
Published: 01 April 2011
...Michael Watkins Jonathan Cohen, The Red and the Real: An Essay on Color Ontology . New York: Oxford University Press, 2009. xvi + 260 pp. © 2011 by Cornell University 2011 Byrne, Alex, and David Hilbert. 1997 . “Colors and Reflectances.” In Readings on Color. Vol. 1, The Philosophy...
Journal Article
The Philosophical Review (2022) 131 (4): 528–532.
Published: 01 October 2022
... both a conceptual and a technical task. The conceptual task is to argue that wavefunction realism per se is not wedded to any particular theory or choice of Hilbert-space basis within the theory: rather, wave function realism is any strategy that reifies a high-dimensional space in order to produce...
Journal Article
The Philosophical Review (2011) 120 (2): 321–326.
Published: 01 April 2011
... account of colors that
1. Alex Byrne and David Hilbert (1997) and Michael Watkins (2002), although their
accounts of colors differ, develop ecumenical nonrelational approaches similar to what I
sketch here.
328
BOOK REVIEWS...
Journal Article
The Philosophical Review (2022) 131 (1): 1–49.
Published: 01 January 2022
... also teach us something new about the nature of laws. Appendix First, I briefly explain the standard framework of the Boltzmannian account of quantum statistical mechanics ( Goldstein et al. 2020 ), in parallel to that of the classical statistical mechanics (section 3.2 ): Hilbert space...
FIGURES
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Journal Article
The Philosophical Review (2019) 128 (3): 293–336.
Published: 01 July 2019
... and Hilbert (2003: 3–4) single out sensuous red as follows: “If someone with normal color vision looks at a tomato in good light, the tomato will appear to have a distinctive property—a property that strawberries and cherries also appear to have, and which we call ‘red’ in English.” Although...
Journal Article
The Philosophical Review (2000) 109 (2): 286–289.
Published: 01 April 2000
..., and in-
terpolation. They primarily take a semantic perspective on logics, concen-
trating on models, frames, and operations on these structures. But there
is also a syntactic approach based on semantic tableaux and Hilbert-style
calculi, and the chapters contain completeness results for some well-known...
Journal Article
The Philosophical Review (2024) 133 (2): 193–196.
Published: 01 April 2024
..., or Maxwellian electromagnetism—could be presented in rigorous axiomatic form, all the unclarities would be dissolved. Unsurprisingly, the pioneering logical positivists, brought up on the mathematical logic of Frege, Russell, and Hilbert, responded to this suggestion like warhorses to a bugle. “Axiomatization...
Journal Article
The Philosophical Review (2001) 110 (2): 286–289.
Published: 01 April 2001
.... Second, Wittgenstein’s views are analyzed
against the background of debates on the foundations of mathematics that were
occupying contemporaries such as, among others, Brouwer, Hilbert, Ramsey,
and Skolem. The overall result is a rich tapestry woven in eight chapters.
Needless to say, only...
Journal Article
The Philosophical Review (2016) 125 (2): 298–302.
Published: 01 April 2016
...) associated with Brouwer and Hilbert are rolled into tight sections trapped within a single essay devoted to the long-distance influence of Kant. The originals of the essays and occasional writings here assembled are of vintage 1990 through 2012. However, had this collection been packed into a time machine...
Journal Article
The Philosophical Review (2000) 109 (4): 648–652.
Published: 01 October 2000
... and Tate that aim to redress
the balance between Frege and the many contemporary targets of his po-
lemical writings. Of the two, Resnik’s theme is the more familiar. He crit-
icizes Frege for lumping together the great (Cantor, Dedekind, Hilbert)
with the not so great, and failing in consequence...
Journal Article
The Philosophical Review (2017) 126 (3): 385–389.
Published: 01 July 2017
...- and twentieth-century theories of color, including Benham tops (93–95) and the suggestion that Aristotle's view is an “ancient prefiguration of modern reflectance theories” like Hilbert's (93, 134–36). Kalderon also offers a series of criticisms of Aristotle's theory, regarding the similarity ordering of colors...
Journal Article
The Philosophical Review (2002) 111 (3): 442–447.
Published: 01 July 2002
... on “relations of” “thought con-
tents” (288)? And since Fregean logicism is so centrally preoccupied with anal-
yses of truth conditions of statements, why isn’t it based on “reflections upon
meanings”? One suspects that, however pertinent these remarks of Gödel may
be to Hilbert’s program...
Journal Article
The Philosophical Review (2024) 133 (3): 309–315.
Published: 01 July 2024
... the dancing qualia argument. A second worry is that we still must find a suitable basis for Hilbert space. But theories of consciousness may constrain both position and momentum: for example, both distances between neurons and how energy is transferred. We can talk about wave packets, but these will not get...
Journal Article
The Philosophical Review (2010) 119 (4): 601–607.
Published: 01 October 2010
..., Curtis. 2009. The Autonomy of Mathematical Knowledge: Hilbert’s Program
Revisited. Cambridge: Cambridge University Press. xiii + 213 pp.
Gale, Richard M. 2010. John Dewey’s Quest for Unity: The Journey of a Promethean
Mystic. Prometheus Lecture Series. Amherst, NY: Prometheus Books.
215 pp...
Journal Article
The Philosophical Review (2003) 112 (1): 57–96.
Published: 01 January 2003
... Concerning Human Understanding . Ed. P. H. Nidditch. Oxford: Oxford University Press. Lowe, E. J. 1995 . Locke on Human Understanding . London: Routledge. MacAdam, D. L. 1985 . The Physical Basis of Color Specification. In Readings on Color , vol. 2 , ed. Alex Byrne and David Hilbert, 33 -63...
Journal Article
The Philosophical Review (2012) 121 (3): 475–481.
Published: 01 July 2012
... Perspective. New
Delhi: Oxford University Press. xv þ 262 pp.
Negri, Sara, and Jan Von Plato. 2011. Proof Analysis: A Contribution to Hilbert’s Last
Problem. New York: Cambridge University Press. xi þ 265 pp.
Nordmann, Alfred, Hans Radder, and Gregor Schiemann, eds. 2011. Science
Transformed...
Journal Article
The Philosophical Review (2015) 124 (4): 441–480.
Published: 01 October 2015
... add the requirement that one knows that this is essential to {Socrates}, but we will not need this extra requirement. 22. Thanks to Kris McDaniel for a discussion of this point. 23. For more on revelation, see Johnston 1992 , Campbell 1993 , and Byrne and Hilbert 2007...
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