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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.
Mathematics seems to endow one with something like a new sense.
Mathematics seems to endow one with something like a new sense.
As for everything else, so for a mathematical theory: beauty can
be perceived but not explained.
As for everything else, so for a mathematical theory: beauty can
be perceived but not explained.
The essence of mathematics is not to make simple things complicated, but to make complicated things simple.
The essence of mathematics is not to make simple things complicated, but to make complicated things simple.
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.
Like the crest of a peacock so is mathematics at the head of all
knowledge.
Like the crest of a peacock so is mathematics at the head of all
knowledge.
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?
Mathematics is the only instructional material that can be
presented in an entirely undogmatic way.
Mathematics is the only instructional material that can be
presented in an entirely undogmatic way.
For the things of this world cannot be made known without a
knowledge of mathematics.
For the things of this world cannot be made known without a
knowledge of mathematics.