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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.
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.
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.
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
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?
Mathematics is written for mathematicians.
Mathematics is written for mathematicians.
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.
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.