David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
Learn more about PhilPapers
Philosophy of Science 38 (2):157-169 (1971)
Using H. Whitney's algebra of physical quantities and his definition of a similarity transformation, a family of similar systems (R. L. Causey  and ) is any maximal collection of subsets of a Cartesian product of dimensions for which every pair of subsets is related by a similarity transformation. We show that such families are characterized by dimensionally invariant laws (in Whitney's sense, , not Causey's). Dimensional constants play a crucial role in the formulation of such laws. They are represented as a function g, known as a system measure, from the family into a certain Cartesian product of dimensions and having the property gφ =φ g for every similarity φ . The dimensions involved in g are related to the family by means of certain stability groups of similarities. A one-to-one system measure is a proportional representing function, which plays an analogous role in Causey's theory, but not conversely. The present results simplify and clarify those of Causey
|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
No references found.
Citations of this work BETA
Marc Lange (2009). Dimensional Explanations. Noûs 43 (4):742-775.
Brent Mundy (1987). Faithful Representation, Physical Extensive Measurement Theory and Archimedean Axioms. Synthese 70 (3):373 - 400.
Similar books and articles
S. G. Sterrett (2009). Similarity and Dimensional Analysis (Preprint - Entry in Handbook of Philosophy of Science, Elsevier). In Anthonie W. M. Meijers (ed.), Handbook of the Philosophy of Science.
Peter Kroes (1989). Structural Analogies Between Physical Systems. British Journal for the Philosophy of Science 40 (2):145-154.
Alexander Reutlinger (2011). A Theory of Non-Universal Laws. International Studies in the Philosophy of Science 25 (2):97 - 117.
Andreas Hüttemann (1998). Laws and Dispositions. Philosophy of Science 65 (1):121-135.
Matthew W. Parker (2003). Undecidability in Rn: Riddled Basins, the KAM Tori, and the Stability of the Solar System. Philosophy of Science 70 (2):359-382.
Clint Ballinger (2007). Initial Conditions and the 'Open Systems' Argument Against Laws of Nature. Metaphysica 9 (1):17-31.
Gerhard Schurz (2002). Ceteris Paribus Laws: Classification and Deconstruction. [REVIEW] Erkenntnis 57 (3):351Ð372.
R. Duncan Luce (1978). Dimensionally Invariant Numerical Laws Correspond to Meaningful Qualitative Relations. Philosophy of Science 45 (1):1-16.
Robert L. Causey (1969). Derived Measurement, Dimensions, and Dimensional Analysis. Philosophy of Science 36 (3):252-270.
Hannes Leitgeb (2005). Interpreted Dynamical Systems and Qualitative Laws: From Neural Networks to Evolutionary Systems. Synthese 146 (1-2):189 - 202.
Added to index2009-01-28
Total downloads102 ( #41,521 of 1,934,373 )
Recent downloads (6 months)1 ( #434,207 of 1,934,373 )
How can I increase my downloads?