Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection … - David Hilbert

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I've always liked New York even before I lived in New York. It represents something, I think, and it would be trite to say what it represents really because it's been said so many times.

David Hilbert

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

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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

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

Every kind of science, if it has only reached a certain degree of maturity, automatically becomes a part of mathematics.

Degrees, Kind, Mathematics, Maturity, Reached, Science

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I want to do the romantic comedies. You know, the stuff that Meg Ryan and Julia Roberts or Reese Witherspoon would choose, of course.

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I've always liked New York even before I lived in New York. It represents something, I think, and it would be trite to say what it represents really because it's been said so many times.

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The meeting was like a war council with donuts. Then again, back at Camp Half-Blood they used to have their most serious discussions around the Ping-Pong table in the rec room with crackers and Cheez Whiz, so Percy felt right at home.

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