Modernism in Science

  • Evert W. Beth


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.


Pure Mathematic Systematic Philosophy Mathematical Discipline Unify Force Abstract Mathematic 
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  1. 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. 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. 3.
    In modern mathematics the term ‘model’ usually denotes constructions in abstract set theory.Google Scholar
  4. 4.
    Cp. Popper, ‘Prediction and Prophecy and their Significance for Social Theory’, in Proceedings (1949).Google Scholar
  5. 5.
    The opposite is often maintained without adequate factual support, as is demonstrated by Dijksterhuis (1956).Google Scholar

Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1968

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  • Evert W. Beth

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