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A mathematician's reputation rests on the number of bad proofs he
has given.
A mathematician's reputation rests on the number of bad proofs he
has given.
How can it be that mathematics, being after all a product of
human thought independent of experience, is so read more
How can it be that mathematics, being after all a product of
human thought independent of experience, is so admirably adapted
to the objects of reality?
It is the perennial youthfulness of mathematics itself which
marks it off with a disconcerting immortality from the other read more
It is the perennial youthfulness of mathematics itself which
marks it off with a disconcerting immortality from the other
sciences.
As far as the laws of mathematics refer to reality, they are not
certain, and as far as they read more
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.
The mathematical sciences particularly exhibit order, symmetry, and limitation; and these are the greatest forms of the beautiful.
The mathematical sciences particularly exhibit order, symmetry, and limitation; and these are the greatest forms of the beautiful.
With me everything turns into mathematics.
[Fr., Omnia apud me mathematica fiunt.]
With me everything turns into mathematics.
[Fr., Omnia apud me mathematica fiunt.]
Pure mathematics is, in its way, the poetry of logical ideas.
Pure mathematics is, in its way, the poetry of logical ideas.
Mathematics seems to endow one with something like a new sense.
Mathematics seems to endow one with something like a new sense.
Revolutions never occur in mathematics.
Revolutions never occur in mathematics.