David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
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Philosophical Studies 51 (1):29 - 54 (1987)
A formal theory of quantity T Q is presented which is realist, Platonist, and syntactically second-order (while logically elementary), in contrast with the existing formal theories of quantity developed within the theory of measurement, which are empiricist, nominalist, and syntactically first-order (while logically non-elementary). T Q is shown to be formally and empirically adequate as a theory of quantity, and is argued to be scientifically superior to the existing first-order theories of quantity in that it does not depend upon empirically unsupported assumptions concerning existence of physical objects (e.g. that any two actual objects have an actual sum). The theory T Q supports and illustrates a form of naturalistic Platonism, for which claims concerning the existence and properties of universals form part of natural science, and the distinction between accidental generalizations and laws of nature has a basis in the second-order structure of the world.
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Citations of this work BETA
Bradford Skow (2007). Are Shapes Intrinsic? Philosophical Studies 133 (1):111 - 130.
Theodore Sider (2013). Replies to Dorr, Fine, and Hirsch. Philosophy and Phenomenological Research 87 (3):733-754.
Theodore Sider (2004). Replies to Gallois, Hirsch and Markosian. [REVIEW] Philosophy and Phenomenological Research 68 (3):674–687.
Chris Swoyer (1991). Structural Representation and Surrogative Reasoning. Synthese 87 (3):449 - 508.
Maya Eddon (2013). Quantitative Properties. Philosophy Compass 8 (7):633-645.
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