Kurt Godel's achievement in modern logic is singular and monumental - indeed it is more than a monument, … - John von Neumann

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What is American strategy first of all? So American strategy is to command the seas, right? The foundation of our power is sea control. Nobody can invade us, but we can invade them.

John von Neumann

Kurt Godel's achievement in modern logic is singular and monumental - indeed it is more than a monument, it is a landmark which will remain visible far in space and time. . . . The subject of logic has certainly completely changed its nature and possibilities with Godel's achievement.

Achievement, Completely, Logic, Monument, Remain, Space

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It is exceptional that one should be able to acquire the understanding of a process without having previously acquired a deep familiarity with running it, with using it, before one has assimilated it in an instinctive and empirical way. . . Thus any discussion of the nature of intellectual effort in any field is difficult, unless it presupposes an easy, routine familiarity with that field. In mathematics this limitation becomes very severe.

Difficult, Effort, Limitation, Running, Understanding

Neumann, to a physicist seeking help with a difficult problem: Simple. This can be solved by using the method of characteristics. Physicist: I'm afraid I don't understand the method of characteristics. Neumann: In mathematics you don't understand things. You just get used to them.

Characteristics, Science, Simple, Understand, Understanding, Used

Life is a process which may be abstracted from other media.

Life, Life Is, May, Media, Process

The most vitally characteristic fact about mathematics is, in my opinion, its quite peculiar relationship to the natural sciences, or more generally, to any science which interprets experience on a higher than purely descriptive level.

Facts, Levels, Mathematics, Peculiar, Science

I am a little troubled about the tea service in the electronic computer building. Apparently the members of your staff consume several times as much supplies as the same number of people do in Fuld Hall and they have been especially unfair in the matter of sugar. . . . I should like to raise the question whether it would not be better for the computer people to come up to Fuld Hall at the end of the day at 5 o'clock and have their tea here under proper supervision.

Come, Numbers, People, Service, Tea, Troubled