Shakespeare's Memory, (1983); as translated by Andrew Hurley in Collected Fictions (1998)
“It is exceptional that one should be able to acquire the understanding of a process without having previously acquired a deep familiarity with running it, with using it, before one has assimilated it in an instinctive and empirical way… Thus any discussion of the nature of intellectual effort in any field is difficult, unless it presupposes an easy, routine familiarity with that field. In mathematics this limitation becomes very severe.”
As quoted in "The Mathematician" in The World of Mathematics (1956), by James Roy Newman
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John Von Neumann 19
Hungarian-American mathematician and polymath 1903–1957Related quotes
The evolutionary modification of genetic phenomena. Proceedings of the 6th International Congress of Genetics 1, 165-72, 1932.
1930s
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
David Eugene Smith, History of Modern Mathematics https://books.google.com/books?id=EwcCAAAAYAAJ, 1896; 1904
Source: Enigmas Of Chance (1985), Chapter 4, On Toast!, p. 93.
“It is not easy to determine the nature of music, or why any one should have a knowledge of it.”
Book VIII, 5, 1339a
Politics
The Development Hypothesis (1852)
Context: That by any series of changes a protozoon should ever become a mammal, seems to those who are not familiar with zoology, and who have not seen how clear becomes the relationship between the simplest and the most complex forms when intermediate forms are examined, a very grotesque notion. Habitually, looking at things rather in their statical aspect than in their dynamical aspect, they never realize the fact that, by small increments of modification, any amount of modification may in time be generated.