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The highest form of pure thought is in mathematics
The highest form of pure thought is in mathematics
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.
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.
To isolate mathematics from the practical demands of the sciences
is to invite the sterility of a cow shut read more
To isolate mathematics from the practical demands of the sciences
is to invite the sterility of a cow shut away from the bulls.
The Handmaiden of the Sciences.
The Handmaiden of the Sciences.
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?
Arithmetic is being able to count up to twenty without taking off your shoes
Arithmetic is being able to count up to twenty without taking off your shoes
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.
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.
