1. “It is far better to foresee even without certainty than not to foresee at all.”
2. “The mind uses its faculty for creativity only when experience forces it to do so.”
3. “There are no solved problems; there are only problems that are more or less solved.”
4. “The scientist does not study nature because it is useful; he studies it because he delights in it and he delights in it because it is beautiful.”
5. “Intuition is more important to discovery than logic.”
6. “One does not ask whether a scientific theory is true, but only whether it is convenient.”
7. “To doubt everything or to believe everything are two equally convenient solutions; both dispense with the necessity of reflection.”
8. “If nature were not beautiful, it would not be worth knowing and if nature were not worth knowing, life would not be worth living.”
9. “It is by logic that we prove, but by intuition that we discover. To know how to criticize is good, to know how to create is better.”
10. “Mathematics is the art of giving the same name to different things.”
11. “The mind uses its faculty for creativity only when experience forces it do so.”
12. “Geometry is the art of correct reasoning from incorrectly drawn figures.”
13. “Mathematical discoveries, small or great are never born of spontaneous generation.”
14. “Experiment is the sole source of truth. It alone can teach us something new; it alone can give us certainty.”
15. “It is with logic that one proves; it is with intuition that one invents.”
16. “A sane mind should not be guilty of logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations.”
17. “Sociology is the science with the greatest number of methods and the least results.”
18. “Just as houses are made of stones, so is science made of facts.”
19. “In the old days when people invented a new function they had something useful in mind.”
20. “It is through science that we prove, but through intuition that we discover.”
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