1. "Mathematicians are like Frenchmen: whatever you say to them they translate into their own language and forthwith it is something entirely different."
2. "To those who ask what the infinitely small quantity in mathematics is, I answer that it is actually zero. Hence, there are not so many mysteries hidden in this concept as they are usually believed to be."
3. "For since the fabric of the universe is most perfect and the work of a most wise Creator, nothing at all takes place in the universe in which some rule of maximum or minimum does not appear."
4. "Nothing takes place in the world whose meaning is not that of some maximum or minimum."
5. "In my opinion, a mathematician, in so far as he is a mathematician, need not preoccupy himself with philosophy — an opinion, moreover, which has been expressed by many philosophers."
6. "The series I have just presented is one of the simplest and most beautiful series I know."
7. "All truths are easy to understand once they are discovered; the point is to discover them."
8. "I am very sorry for the misunderstanding with my critics, but it is not my fault."
9. "The use of this feigned science can be compared to the use of weights and measures in commerce."
10. "My first attempt is to show that the problem of finding the number of points in which two given lines intersect is intimately connected with the theory of algebraic equations."
11. "To find the sum of all the terms of a given sequence of numbers."
12. "It is not enough to have a good mind; the main thing is to use it well."
13. "Analysis is the infinitely difficult art of extracting information from an unknown, given only by an equation."
14. "We have to learn again that science without contact with experiments is an enterprise which is likely to go completely astray into imaginary conjecture."
15. "The simplest mode of presentation is always the best."
16. "As to geometrical figures, those which may be squared, or have their areas calculated, are very few."
17. "The intellect must not be forced. It should be drawn into action by teaching, rather than by commanding."
18. "Nothing takes place in the world whose meaning is not that of some maximum or minimum."
19. "Truths that are most useful are often the least pleasing."
20. "It is easier to square the circle than to get round a mathematician."
21. "Mathematics is the queen of sciences and arithmetic is the queen of mathematics."
22. "Even in mathematics, the way of progress is still the same as in the past. We have to learn again that science without contact with experiments is an enterprise which is likely to go completely astray into imaginary conjecture."
23. "There is no better way to obtain praise than to try to deserve it."
24. "To invent, you need a good imagination and a pile of junk."
25. "I have to agree with all those who believe that nothing will be done for mathematics if we continue to study only those parts of it which are immediately useful."
26. "The most fascinating property of mathematics is that, as you can start with any one principle and from it deduce all others."
27. "The principal goal of education is to create men who are capable of doing new things, not simply of repeating what other generations have done."
28. "To simplify means to eliminate the unnecessary so that the necessary may speak."
29. "To see the world from a new perspective."
30. "If you can’t explain it simply, you don’t understand it well enough."