A Quote by Jean Dieudonne
Now ... the basic principle of modern mathematics is to achieve a complete fusion [of] 'geometric' and 'analytic' ideas.
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To most outsiders, modern mathematics is unknown territory. Its borders are protected by dense thickets of technical terms; its landscapes are a mass of indecipherable equations and incomprehensible concepts. Few realize that the world of modern mathematics is rich with vivid images and provocative ideas.
Analytic It is clear that the definition of "logic" or "mathematics" must be sought by trying to give a new definition of the old notion of "analytic" propositions.
Right now at this very moment we have a mind, which is all the basic equipment we need to achieve complete happiness.
Modern man lives more and more in a preponderantly geometric order. All human creation mechanical or industrial is dependent upon geometric intentions.
Now this principle of induction cannot be a purely logical truth like a tautology or an analytic statement. . . .
There is always some basic principle that will ultimately get the Republican party together. If my observations are worth anything, that basic principle is the cohesive power of public plunder.
'Contract' succeeded 'status' as the basic organising principle in modern political vs. ancient society.
Few realize that the world of modern mathematics is rich with vivid images and provocative ideas.
We don’t need more money, we don’t need greater success or fame, we don’t need the perfect body or even the perfect mate-right now, at this very moment, we have a mind, which is all the basic equipment we need to achieve complete happiness.
A basic principle of modern state capitalism is that costs and risks are socialized to the extent possible, while profit is privatized.
The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern mathematics; and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking.
Berkshire was built on the eternal verities: basic mathematics, basic horse sense, basic fear, and basic diagnosis of human nature to make predictions regarding human behavior. We stuck to the basics with a certain amount of discipline and it has worked out quite well.
The point of mathematics is that in it we have always got rid of the particular instance, and even of any particular sorts of entities. So that for example, no mathematical truths apply merely to fish, or merely to stones, or merely to colours. So long as you are dealing with pure mathematics, you are in the realm of complete and absolute abstraction. . . . Mathematics is thought moving in the sphere of complete abstraction from any particular instance of what it is talking about.
My holy grail is fusion energy. Nuclear fusion has little to no radioactive waste. It's clean. It's very abundant. The fuels are everywhere. There are problems with fusion.
One of the chief triumphs of modern mathematics consists in having discovered what mathematics really is.
The principles of logic and mathematics are true simply because we never allow them to be anything else. And the reason for this is that we cannot abandon them without contradicting ourselves, without sinning against the rules which govern the use of language, and so making our utterances self-stultifying. In other words, the truths of logic and mathematics are analytic propositions or tautologies.
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