David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Synthese 50 (2):233 - 277 (1982)
We examine the notions of negative, infinite and hotter than infinite temperatures and show how these unusual concepts gain legitimacy in quantum statistical mechanics. We ask if the existence of an infinite temperature implies the existence of an actual infinity and argue that it does not. Since one can sensibly talk about hotter than infinite temperatures, we ask if one could legitimately speak of other physical quantities, such as length and duration, in analogous terms. That is, could there be longer than infinite lengths or temporal durations? We argue that the answer is surprisingly yes, and we outline the properties of a number system that could be employed to characterize such magnitudes.
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Norman Robert Campbell (1920/1957). Foundations of Science. New York, Dover Publications.
Morris Raphael Cohen (1944). An Introduction to Logic and Scientific Method. [Madison, Wis.]Pub. For the United States Armed Forces Institute by Harcourt, Brace and Company.
Citations of this work BETA
J. Brakel (1986). The Chemistry of Substances and the Philosophy of Mass Terms. Synthese 69 (3):291 - 324.
Artour N. Lebedev (1993). Derivation of Stevens's Exponent From Neurophysiological Data. Behavioral and Brain Sciences 16 (1):152.
Robert Teghtsoonian (1993). Sensation Strength: Another Point of View. Behavioral and Brain Sciences 16 (1):161.
Gunnar Borg (1993). A Perspective on Psychophysics is Not Derived Just From the History of Psychophysicists. Behavioral and Brain Sciences 16 (1):138.
Otto-Joachim Grüsser (1993). The Discovery of the Psychophysical Power Law by Tobias Mayer in 1754 and the Psychophysical Hyperbolic Law by Ewald Hering in 1874. Behavioral and Brain Sciences 16 (1):142.
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