Philosophy Lexicon of Arguments

 
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Friedrich Waismann Suchen und Finden in der Mathematik 1938 in Kursbuch 8 Mathematik 1967

87
Is every discovery the result of a search? It seemed absurd to say:
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88
For example, "Descartes had for a long time the intention of discovering analytical geometry."
E.g. to discover the pathogen of malaria is however something, which one can try a long time.
Again the question: how can one discover something, after which one has not searched?
Sheffer, for example, discovered the possibility of constructing negation and disjunction with a single basic concept, the one of intolerance.
He has then discovered a new system, more precisely, he has looked into a new structure in the old system. His view is crucial: as long as he does not see the system, he does not have it.
Frege would not have it for example, if he had accidentally written in the form of the new system. Von Sheffer, on the other hand, would also be said to have discovered the new system if he had not introduced a new own sign. (Scheffer stroke: instead of "~ (...) v ~ (...).)


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Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution.

Wa I
F. Waismann
Einführung in das mathematische Denken Darmstadt 1996

Wa II
F. Waismann
Logik, Sprache, Philosophie Stuttgart 1976


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Ed. Martin Schulz, access date 2017-09-24