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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- 1.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.Google Scholar
- 2.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).Google Scholar
- 3.In modern mathematics the term ‘model’ usually denotes constructions in abstract set theory.Google Scholar
- 4.Cp. Popper, ‘Prediction and Prophecy and their Significance for Social Theory’, in Proceedings (1949).Google Scholar
- 5.The opposite is often maintained without adequate factual support, as is demonstrated by Dijksterhuis (1956).Google Scholar
© D. Reidel Publishing Company, Dordrecht, Holland 1968