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Tobias Dantzig

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American mathematician (1884-1956)

Person · Open Library

Born
1884
Died
1956
Works
14

Top works

  • Kagaku no kotoba, kazu
  • THE BEQUEST OF THE GREEKS
  • Number
  • Number
  • Mathematics in acient Greece

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Music · MusicBrainz

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Quotes

  • In the history of mathematics, the "how" always preceded the "why," the technique of the subject preceded its philosophy.
  • But how can we avoid the use of human language? The... symbol. Only by using a symbolic language not yet usurped by those vague ideas of space, time, continuity which have their origin in intuition and tend to obscure pure reason—only thus may we hope to build mathematics on the solid foundation of logic.
  • The progress of mathematics has been most erratic, and... intuition has played a predominant rôle in it. ...It was the function of intuition to create new forms; it was the acknowledged right of logic to accept or reject these new forms, in whose birth in had no part. ...the children had to live, so while waiting for logic to sanctify their existence, they throve and multiplied.
  • Between the philosopher's attitude towards the issue of reality and that of the mathematician there is this essential difference: for the philosopher the issue is paramount; the mathematician's love for reality is purely platonic.
  • There exists among the most primitive tribes of Australia and Africa a system of numeration which has neither 5, 10, nor 20 for base. It is a binary system, i.e., of base two. These savages have not yet reached finger counting. They have independent numbers for one and two, and composite numbers up to six. Beyond six everything is denoted by “heap.”
  • To describe means to classify, and the man Poincaré defies classification, as does indeed his philosophy.

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Described at

Tobias Dantzig — Wikipédia

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