A Quote by Albert Einstein
[Kepler] had to realize clearly that logical-mathematical theoretizing, no matter how lucid, could not guarantee truth by itself; that the most beautiful logical theory means nothing in natural science without comparison with the exactest experience. Without this philosophic attitude, his work would not have been possible.
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Experience by itself teaches nothing... Without theory, experience has no meaning. Without theory, one has no questions to ask. Hence, without theory, there is no learning.
(Game theory is) essentially a structural theory. It uncovers the logical structure of a great variety of conflict situations and describes this structure in mathematical terms. Sometimes the logical structure of a conflict situation admits rational decisions; sometimes it does not.
Live simply and without thinking too much, like a child with his father. Faith without too much thinking works wonders. The logical mind hinders the Grace of God and miracles. Practice patience without judging with the logical mind.
As soon as a thought or word becomes a tool, one can dispense with actually 'thinking' it, that is, with going through the logical acts involved in verbal formulation of it. As has been pointed out, often and correctly, the advantage of mathematics - the model of all neo-positivistic thinking - lies in just this 'intellectual economy.' Complicated logical operations are carried out without actual performance of the intellectual acts upon which the mathematical and logical symbols are based. ... Reason ... becomes a fetish, a magic entity that is accepted rather than intellectually experienced.
Logical positivists have never taken psychology into account in their epistemology, but they affirm that logical beings and mathematical beings are nothing but linguistic structures.
I am in exact accord with the belief of Thomas Edison that spirit is immortal, that there is a continuing center of character in each personality. But I don't know what spirit is, nor matter either. I suspect they are forms of the same thing. I never could see anything in this reputed antagonism between spirit and matter. To me this is the most beautiful, the most satisfactory from a scientific standpoint, the most logical theory of life.
The physicist, in his study of natural phenomena, has two methods of making progress: (1) the method of experiment and observation, and (2) the method of mathematical reasoning. The former is just the collection of selected data; the latter enables one to infer results about experiments that have not been performed. There is no logical reason why the second method should be possible at all, but one has found in practice that it does work and meets with reasonable success.
If you let your mind talk you out of things that aren't logical, you're going to have a very boring life. Because grace isn't logical. Love isn't logical. Miracles aren't logical.
To me this is the most beautiful, the most satisfactory from a scientific standpoint, the most logical theory of life. For thirty years I have leaned toward the theory of Reincarnation. It seems a most reasonable philosophy and explains many things.
Logical activity is not the whole of intelligence. One can be intelligent without being particularly logical.
Kepler's discovery would not have been possible without the doctrine of conics. Now contemporaries of Kepler-such penetrating minds as Descartes and Pascal-were abandoning the study of geometry ... because they said it was so UTTERLY USELESS. There was the future of the human race almost trembling in the balance; for had not the geometry of conic sections already been worked out in large measure, and had their opinion that only sciences apparently useful ought to be pursued, the nineteenth century would have had none of those characters which distinguish it from the ancien régime.
Once infected, the individual [infected with a god virus] cannot detect major contradictions in his beliefs and behavior. Belief systems become self-evident to him, and no amount of logical discourse will move him from his belief. If a Mormon and Catholic were to debate the merits of their respective religions, neither could see his own inconsistencies and logical fallacies, but would see the other's quite clearly.
Like Molière's M. Jourdain, who spoke prose all his life without knowing it, mathematicians have been reasoning for at least two millennia without being aware of all the principles underlying what they were doing. The real nature of the tools of their craft has become evident only within recent times A renaissance of logical studies in modern times begins with the publication in 1847 of George Boole's The Mathematical Analysis of Logic.
We know that mathematicians care no more for logic than logicians for mathematics. The two eyes of science are mathematics and logic; the mathematical set puts out the logical eye, the logical set puts out the mathematical eye; each believing that it sees better with one eye than with two. Note that De Morgan, himself, only had sight with only one eye.
Because of their very nature, science and logical thinking can never decide what is possible or impossible. Their only function is to explain what has been ascertained by experience and observation.
And do you know, do you know that mankind can live without the Englishman, it can live without Germany, it can live only too well without the Russian man, it can live without science, without bread, and it only cannot live without beauty, for then there would be nothing at all to do in the world! The whole secret is here, the whole of history is here. Science itself would not stand for a minute without beauty
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