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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.
Revolutions never occur in mathematics.
Revolutions never occur in mathematics.
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.
Mathematics seems to endow one with something like a new sense.
Mathematics seems to endow one with something like a new sense.
Do not worry about your difficulties in mathematics, I assure you
that mine are greater.
Do not worry about your difficulties in mathematics, I assure you
that mine are greater.
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.
Mathematics, rightly viewed, possesses not only truth, but
supreme beauty--a beauty cold and austere, like that of
sculpture.
Mathematics, rightly viewed, possesses not only truth, but
supreme beauty--a beauty cold and austere, like that of
sculpture.
One of the endlessly alluring aspects of mathematics is that its
thorniest paradoxes have a way of blooming into read more
One of the endlessly alluring aspects of mathematics is that its
thorniest paradoxes have a way of blooming into beautiful
theories.
It is the merest truism, evident at once to unsophisticated
observation, that mathematics is a human invention.
It is the merest truism, evident at once to unsophisticated
observation, that mathematics is a human invention.