Summary
I. The function of models in the empirical sciences
II. Structure and purpose: conditions of a structural nature which models should satisfy in order to accomplish their function.
III. Generalisation and specialisation of the classical definition of model, in view of the above requirements:
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(a)
the algebraic model concept
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(b)
the semantic model concept
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(c)
the syntactical model concept
IV. Attempt towards reunification: the concept of model on a pragmatic basis.
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References
R. C. Braithwaite: The Nature of theoretical Concepts and the Role of Models in an advanced Science (Revue Internationale de Philosophie, 1954, fasc. 1–2).
M. B. Hesse: Models in Physics (British Journal for the Philosophy of Science, 1954, pp. 198–214).
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Rudolf Carnap; Introduction to Semantics, Harvard University Press 1946.
John G. Kemeny: A New Approach to Semantics, Part I (Journal for Symbolic Logic, 1956).
For information about dimensional analysis, consult: N. R. Campbell: Foundations of Science (ch XIV and XV) and P. W. Bridgman: Dimensional Analysis.
For information about approximate geometry, consult Karl Menger: Rice Institute Pamphlets; 1940: Geometry without points, and the same author: Géométrie Générale, Mémorial des Sciences mathématiques, 1950.
A. Tarski: Contributions to the Theory of Models (Proceedings Kon. Ned. Ak. .Wet., 1954).
A. Ross Ashby: An Introduction to Cybernetics (Wiley 1957) pp. 102–109, ‘homomorphic machines’.
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Alfred Tarski: Logic, Semantics and Metamathematics, (Oxford 1956).
See Kemeny op: cit. and Tarski op. cit.
Tarski, Mostowski and Robinson: Undecidable Theories (Amsterdam, 1952)
Richard Martin: Toward a Systematic Pragmatics (Amsterdam, 1959).
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Apostel, L. Towards the formal study of models in the non-formal sciences. Synthese 12, 125–161 (1960). https://doi.org/10.1007/BF00485092
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DOI: https://doi.org/10.1007/BF00485092