The Concept and the Role of the Model in Mathematics and Natural and Social Sciences [Book Review]

Review of Metaphysics 15 (4):682-682 (1962)
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Abstract

A collection of papers delivered at a colloquium in 1960. Most are quite brief; all are at a rather high level of technical sophistication. Of general interest are L. Apostel's "Toward the Formal Study of Models in the Non-Formal Sciences," which concludes that a unique definition of models in terms of their function should be the basis for a general description of this "multiform concept"; H. Freudenthal's discussion of "models in Applied Probability"; a historical treatment of "Model and Insight" by A. Kuipers; and P. Suppes's "Comparison of the Meaning and Uses of Models in Mathematics and the Empirical Sciences," which stresses the "set-theoretical" notion of model and emphasizes the possibility of greater formalization of the empirical sciences through the former. Among other authors represented are E. W. Beth, J. L. Destouches, and J. B. Ubbink.--R. D. P.

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