David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
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.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
W. V. Quine (1960). Word and Object. The MIT Press.
Clark Glymour (1980). Theory and Evidence. Princeton University Press.
D. M. Armstrong (1983). What is a Law of Nature? Cambridge University Press.
Hartry Field (1980). Science Without Numbers. Princeton University Press.
D. M. Armstrong (1978). Universals and Scientific Realism. Cambridge University Press.
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.
Zee R. Perry (2015). Properly Extensive Quantities. Philosophy of Science 82 (5):833-844.
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.
Similar books and articles
Joel Michell (1997). Bertrand Russell's 1897 Critique of the Traditional Theory of Measurement. Synthese 110 (2):257-276.
Omprakash K. Gupta & Anna S. Rominger (1996). Blind Man's Bluff: The Ethics of Quantity Surcharges. [REVIEW] Journal of Business Ethics 15 (12):1299 - 1312.
Joshua Seachris & Linda Zagzebski (2007). Weighing Evils: The C. S. Lewis Approach. International Journal for Philosophy of Religion 62 (2):81 - 88.
Brent Mundy (1988). Extensive Measurement and Ratio Functions. Synthese 75 (1):1 - 23.
Phil Dowe (2000). The Conserved Quantity Theory Defended. Theoria 15 (1):11-31.
James Franklin (2011). Aristotelianism in the Philosophy of Mathematics. Studia Neoaristotelica 8 (1):3-15.
Alessandro Giordani & Luca Mari, Quantity and Quantity Value. Proc. TC1-TC7-TC13 14th IMEKO Joint Symposium.
Brent Mundy (1989). Elementary Categorial Logic, Predicates of Variable Degree, and Theory of Quantity. Journal of Philosophical Logic 18 (2):115 - 140.
Steve Awodey (2006). Continuity and Logical Completeness: An Application of Sheaf Theory and Topoi. In Johan van Benthem, Gerhard Heinzman, M. Rebushi & H. Visser (eds.), The Age of Alternative Logics. Springer 139--149.
Added to index2009-01-28
Total downloads102 ( #38,509 of 1,796,356 )
Recent downloads (6 months)5 ( #168,770 of 1,796,356 )
How can I increase my downloads?