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 [3] and [4]) 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, [10], 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)
DOI 10.1086/288351
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 71,199
Through your library

References found in this work BETA

Add more references

Citations of this work BETA

Dimensional Explanations.Marc Lange - 2009 - Noûs 43 (4):742-775.

Add more citations

Similar books and articles


Added to PP index

Total views
123 ( #96,139 of 2,517,908 )

Recent downloads (6 months)
2 ( #272,378 of 2,517,908 )

How can I increase my downloads?


My notes