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The South resented giving the Afro-American his freedom, the ballot box and the Civil Rights Law.

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David Hilbert

An old French mathematician said: A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street. This clearness and ease of comprehension, here insisted on for a mathematical theory, I should still more demand for a mathematical problem if it is to be perfect; for what is clear and easily comprehended attracts, the complicated repels us.

Comprehended, Demand, Easily, Firsts, Men, Perfect
Same Author Quotes

In mathematics. . . we find two tendencies present. On the one hand, the tendency towards abstraction seeks to crystallise the logical relations inherent in the maze of materials. . . being studied, and to correlate the material in a systematic and orderly manner. On the other hand, the tendency towards intuitive understanding fosters a more immediate grasp of the objects one studies, a live rapport with them, so to speak, which stresses the concrete meaning of their relations.

Concrete, Hands, Logical, Seeks, Stress, Two

Every mathematical discipline goes through three periods of development: the naive, the formal, and the critical.

Critical, Development, Discipline, Formal, Mathematical, Three

As long as a branch of science offers an abundance of problems, so long it is alive; a lack of problems foreshadows extinction or the cessation of independent development.

Development, Independent, Long, Offers, Science

Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.

Connections, Indivisible, Ontology, Organism, Science, Vitality

Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. These fundamental principles are called the axioms of geometry.

Like, Logical, Principles, Simple, Small Numbers
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