I then began to study arithmetical questions without any great apparent result, and without suspecting that they could have the least connexion with my previous researches. Disgusted at my want of success, I went away to spend a few days at the seaside, and thought of entirely different things. One day, as I was walking on the cliff, the idea came to me, again with the same characteristics of conciseness, suddenness, and immediate certainty, that arithmetical transformations of indefinite ternary quadratic forms are identical with those of non-Euclidian geometry. β¨ Henri Poincare (2012). The Value of Science: Essential Writings of Henri Poincare, p.649, Modern Library
More Author Quotes
- Mathematicians are born, not made.
- A very small cause, which escapes us, determines a considerable effect which we cannot ignore, and we say that this effect is due to chance.
- It is the harmony of the diverse parts, their symmetry, their happy balance; in a word it is all that introduces order, all that gives unity, that permits us to see clearly and to comprehend at once β¦ βΆ
- The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a physical law. They reveal the kinship between other β¦ βΆ
- There are no solved problems; there are only problems that are more or less solved.
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