Abstract
We all know the passage from Plato’s Meno where Socrates, just by asking all kinds of questions, succeeds in making a young slave discover for himself a simple geometrical theorem.
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References
Matters have been simplified here. It is the relation between an object and the set containing this object as an element which is the fundamental concept.
As an introduction to set theory Halmos (1960) is to be recommended. An extensive discussion of its foundations is to be found in Fraenkel and Bar-Hillel (1958).
In modern mathematics the term ‘model’ usually denotes constructions in abstract set theory.
Cp. Popper, ‘Prediction and Prophecy and their Significance for Social Theory’, in Proceedings (1949).
The opposite is often maintained without adequate factual support, as is demonstrated by Dijksterhuis (1956).
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© 1968 D. Reidel Publishing Company, Dordrecht, Holland
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Beth, E.W. (1968). Modernism in Science. In: Science a Road to Wisdom. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-7644-6_9
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DOI: https://doi.org/10.1007/978-94-011-7644-6_9
Publisher Name: Springer, Dordrecht
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