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Two Approaches to Mathematical and Physical Systems

Published online by Cambridge University Press:  14 March 2022

G. Schlesinger*
Affiliation:
The University of Melbourne, Victoria, Australia

Abstract

It is commonly the case that a problem concerning a mathematical or physical system can be solved in two quite different ways—by an internal or an external approach. For example, the area of a triangle can be found by integration or by showing it to be half that of a certain rectangle. In general, the first approach is, to analyse the given system into component parts, and the second approach is to deal with the system as a whole.

It seems that even in cases where solutions to physical problems obtained according to these two approaches are equally valid, and are equally good as explanations, scientists prefer the solution obtained by the internal approach.

The reasons for this preference are examined. And it is suggested that whatever the reasons, this preference may have been partly responsible for the 19th century preference for the Kinetic Theory rather than Thermodynamics.

Type
Research Article
Copyright
Copyright © 1959 by Philosophy of Science Association

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References

1. Bridgman, P. W.The Nature of Thermodynamics”, Harvard University Press, 1943, p. 3.Google Scholar
2. Fermi, E.Thermodynamics”, Dover Publ. 1956, p. x.Google Scholar
3. Poincaré, H.Science and Hypothesis”, Dover Publ. 1952, pp. 128–9.Google Scholar
4. Stevin, S.Hypomnemata Mathematica”, Leyden, 1608.Google Scholar
5. ”The Physical Treatises of Pascal”, Columbia U.P. 1937.Google Scholar