David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 67 (3):391 - 437 (1986)
The numerical representations of measurement, geometry and kinematics are here subsumed under a general theory of representation. The standard theories of meaningfulness of representational propositions in these three areas are shown to be special cases of two theories of meaningfulness for arbitrary representational propositions: the theories based on unstructured and on structured representation respectively. The foundations of the standard theories of meaningfulness are critically analyzed and two basic assumptions are isolated which do not seem to have received adequate justification: the assumption that a proposition invariant under the appropriate group is therefore meaningful, and the assumption that representations should be unique up to a transformation of the appropriate group. A general theory of representational meaningfulness is offered, based on a semantic and syntactic analysis of representational propositions. Two neglected features of representational propositions are formalized and made use of: (a) that such propositions are induced by more general propositions defined for other structures than the one being represented, and (b) that the true purpose of representation is the application of the theory of the representing system to the represented system. On the basis of these developments, justifications are offered for the two problematic assumptions made by the existing theories.
|Keywords||No keywords specified (fix it)|
No categories specified
(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
Hartry Field (1980). Science Without Numbers. Princeton University Press.
J. D. Sneed (1975). The logical structure of mathematical physics. Tijdschrift Voor Filosofie 37 (1):151-152.
Rudolf Carnap (1966). Philosophical Foundations of Physics;. New York,Basic Books, Inc..
Patrick Suppes (1960). A Comparison of the Meaning and Uses of Models in Mathematics and the Empirical Sciences. Synthese 12 (2-3):287--301.
Citations of this work BETA
Mauricio Suárez & Nancy Cartwright (2007). Theories: Tools Versus Models. Studies in History and Philosophy of Science Part B 39 (1):62-81.
Anjan Chakravatty (2010). Informational Versus Functional Theories of Scientific Representation. Synthese 172 (2):197 - 213.
Roman Frigg & Ioannis Votsis (2011). Everything You Always Wanted to Know About Structural Realism but Were Afraid to Ask. European Journal for Philosophy of Science 1 (2):227-276.
Chris Swoyer (1991). Structural Representation and Surrogative Reasoning. Synthese 87 (3):449 - 508.
Joseph Berkovitz (2015). The Propensity Interpretation of Probability: A Re-Evaluation. Erkenntnis 80 (3):629-711.
Similar books and articles
Brent Mundy (1988). Extensive Measurement and Ratio Functions. Synthese 75 (1):1 - 23.
Fernando Martínez-Manrique (2010). On the Distinction Between Semantic and Conceptual Representation. Dialectica 64 (1):57-78.
Joel Kenton Press (2008). The Scientific Use of 'Representation' and 'Function': Avoiding Explanatory Vacuity. Synthese 161 (1):119 - 139.
R. Duncan Luce (1978). Dimensionally Invariant Numerical Laws Correspond to Meaningful Qualitative Relations. Philosophy of Science 45 (1):1-16.
Chris Eliasmith (2000). How Neurons Mean: A Neurocomputational Theory of Representational Content. Dissertation, Washington University in St. Louis
Fred S. Roberts (1980). On Luce's Theory of Meaningfulness. Philosophy of Science 47 (3):424-433.
Jennifer Hudin (2006). Motor Intentionality and its Primordiality. Inquiry 49 (6):573 – 590.
William J. Rapaport (1991). Predication, Fiction, and Artificial Intelligence. Topoi 10 (1):79-111.
Thomas Mormann (1994). A Representational Reconstruction of Carnap’s Quasianalysis. PSA 1994 1:96 - 103.
Added to index2009-01-28
Total downloads43 ( #94,281 of 1,792,259 )
Recent downloads (6 months)7 ( #120,088 of 1,792,259 )
How can I increase my downloads?