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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.

I advise my students to listen carefully the moment they decide

to take no more mathematics courses. They might read more

I advise my students to listen carefully the moment they decide

to take no more mathematics courses. They might be able to hear

the sound of closing doors. Everybody a mathematician?

Pure mathematics is, in its way, the poetry of logical ideas.

Pure mathematics is, in its way, the poetry of logical ideas.

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.

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.

Revolutions never occur in mathematics.

Revolutions never occur in mathematics.

The mathematical sciences particularly exhibit order, symmetry,

and limitation; and these are the greatest forms of the

beautiful.

and limitation; and these are the greatest forms of the

beautiful.

Mathematics is written for mathematicians.

Mathematics is written for mathematicians.