One reason why mathematics enjoys special esteem, above all other sciences, is that its laws are absolutely certain and indisputable, while those of other sciences are to some extent debatable and in constant danger of being overthrown by newly discovered facts.

How can it be that mathematics, being after all a product of human thought which is independent of experience, is so admirably appropriate to the objects of re…

As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.

I do not see any reason to assume that the heuristic significance of the principle of general relativity is restricted to gravitation and that the rest of phys…

I often say that when you can measure what you are speaking about, and express it in numbers, you know something about it; but when you cannot express it in nu…

Mathematical knowledge may, just like our scientific knowledge, be deep and broad, it may be subtle and wonderfully explanatory, it may be uncontroversially ac…

Science does not give us absolute and final certainty. It only gives us assurance within the limits of our mental abilities and the prevailing state of scienti…