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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.
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.
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.
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.
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.
Mathematics seems to endow one with something like a new sense.
Mathematics seems to endow one with something like a new sense.
Pure mathematics is, in its way, the poetry of logical ideas.
Pure mathematics is, in its way, the poetry of logical ideas.
The highest form of pure thought is in mathematics
The highest form of pure thought is in mathematics
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.