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Mathematics and Modern Art

  • Evert W. Beth

Abstract

It may occur that a philosopher, in setting foot on territory with which he is not yet familiar, imagines to be following a sudden, almost or entirely unaccountable impulse and that only after some time he comes to realize how compellingly the choice of a fresh object for his reflections was forced upon him by a tendency in his philosophical pursuits that has been prevalent for a long time. The preceding essay on ‘Modernism in Science’, which was written about a year ago, now seems to me to provide a characteristic example of this phenomenon.

Keywords

Rational Communication Rational Discussion Philosophical Pursuit Ulterior Motive Creative Mind 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    The term ‘idea’ has been used in this essay to indicate a notion which can of course be conceptually defined only within each separate discipline. Still it is of paramount importance in quite divergent fields and, moreover, remains identifiable as ‘the same’ notion when we move from one discipline to another.Google Scholar
  2. 2.
    See E. Panofsky, ‘Dürer as a Mathematician’, in Newman (1956).Google Scholar
  3. 3.
    Cf. Jaffé (1956), Schoenmakers (1916), Kandinsky (1912, 1926), and Klee (1945).Google Scholar
  4. 4.
    In Essay IX a sketch has been given of modern abstract mathematics. Cf. Van der Waerden (1928).Google Scholar
  5. 5.
    Cf. pp. 77 and 84-5.Google Scholar

Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1968

Authors and Affiliations

  • Evert W. Beth

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