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Our feeble attempts at mathematics enable us to understand a bit of the universe, and as we proceed to develop higher and higher mathematics we can hope to understand the universe better.
Paul Dirac
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One does not get anywhere simply by going over the successes again and again, whereas talking over the difficulties people can hope to make some progress.
Paul Dirac
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It seems that if one is working from the point of view of getting beauty in one's equations, and if one has really a sound insight, one is on a sure line of progress. If there is not complete agreement between the results of one's work and experiment, one should not allow oneself to be too discouraged, because the discrepancy may well be due to minor features that are not properly taken into account and that will get cleared up with further development of the theory.
Paul Dirac
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A great deal of my work is just playing with equations and seeing what they give.
Paul Dirac
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The present stage of physical theory is merely a step-pingstone towards the better stages that we will have in the future. One can be quite sure that there will be better stages simply because of the difficulties that occur in the physics of today.
Paul Dirac
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One could perhaps describe the situation by saying that God is a mathematician of a very high order, and He used very advanced mathematics in constructing the universe.
Paul Dirac
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The measure of greatness in a scientific idea is the extent to which it stimulates thought and opens up new lines of research.
Paul Dirac
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The only object of theoretical physics is to calculate results that can be compared with experiment...it is quite unnecessary that any satisfactory description of the whole course of the phenomena should be given.
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The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known, and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble. It therefore becomes desirable that approximate practical methods of applying quantum mechanics should be developed, which can lead to an explanation of the main features of complex atomic systems without too much computation.
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I want to emphasize the necessity for a sound mathematical basis for any fundamental physical theory. Any philosophical ideas that one may have play only a subordinate role. Unless such ideas have a mathematical basis they will be ineffective.
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If you are receptive and humble, mathematics will lead you by the hand. Again and again, when I have been at a loss how to proceed, I have just had to wait until I have felt the mathematics led me by the hand. It has led me along an unexpected path, a path where new vistas open up, a path leading to new territory, where one can set up a base of operations, from which one can survey the surroundings and plan future progress.
Paul Dirac
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Paul Dirac
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Born:
August 8, 1902
Died:
October 20, 1984
(aged 82)
Bio:
Paul Adrien Maurice Dirac was an English theoretical physicist who made fundamental contributions to the early development of both quantum mechanics and quantum electrodynamics.
Known for:
The Principles of Quantum Mechanics (1930)
Lectures on Quantum Mechanics (1931)
Spinors in Hilbert space (1974)
General Theory of Relativity (1975)
Most used words:
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