A Quote by Aristotle
Now that practical skills have developed enough to provide adequately for material needs, one of these sciences which are not devoted to utilitarian ends [mathematics] has been able to arise in Egypt, the priestly caste there having the leisure necessary for disinterested research.
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What affected me most profoundly was the realization that the sciences of cryptography and mathematics are very elegant, pure sciences. I found that the ends for which these pure sciences are used are less elegant.
There are four great sciences, without which the other sciences cannot be known nor a knowledge of things secured ... Of these sciences the gate and key is mathematics ... He who is ignorant of this [mathematics] cannot know the other sciences nor the affairs of this world.
Research in basic sciences now requires resources that no one country can provide.
Humanity needs practical men, who get the most out of their work, and, without forgetting the general good, safeguard their own interests. But humanity also needs dreamers, for whom the disinterested development of an enterprise is so captivating that it becomes impossible for them to devote their care to their own material profit.
The branches of mathematics are as various as the sciences to which they belong, and each subject of physical enquiry has its appropriate mathematics. In every form of material manifestation, there is a corresponding form of human thought, so that the human mind is as wide in its range of thought as the physical universe in which it thinks.
But there is another reason for the high repute of mathematics: it is mathematics that offers the exact natural sciences a certain measure of security which, without mathematics, they could not attain.
If a candidate at the MLA or chief ministerial level gets an advantage of belonging to a particular caste while fighting polls, that is one thing. But after having been elected, if you only look after the developmental needs of a particular caste or community, that is a different matter altogether. The BJP has never done that.
To isolate mathematics from the practical demands of the sciences is to invite the sterility of a cow shut away from the bulls.
... mathematics is absolutely necessary and useful to the other sciences.
The student who secures his coveted leisure and retirement by systematically shirking any labor necessary to man obtains but an ignoble and unprofitable leisure, defrauding himself of the experience which alone can make leisure fruitful.
Christianity exhorted man to set himself up against Nature, but did so in the name of his spiritual and disinterested attributes. Pragmatism exhorts him to do so in the name of his practical attributes. Formerly man was divine because he had been able to acquire the concept of justice, the idea of law, the sense of God; today he is divine because he has been able to create equipment which makes him the master of matter.
Having a powerful enough WHY will provide you with the necessary HOW
We find sects and parties in most branches of science; and disputes which are carried on from age to age, without being brought to an issue. Sophistry has been more effectually excluded from mathematics and natural philosophy than from other sciences. In mathematics it had no place from the beginning; mathematicians having had the wisdom to define accurately the terms they use, and to lay down, as axioms, the first principles on which their reasoning is grounded. Accordingly, we find no parties among mathematicians, and hardly any disputes.
I think that is one of the main goals of pushing forward in machine learning: having computers provide the wisdom that a human companion would be able to provide in offering advice, looking up more information when necessary and those kinds of things.
Research in the natural sciences operates in successive approximations. We are glad to be able to offer many good problems for research by generations to come.
I was invited to join the newly established Central Chemical Research Institute of the Hungarian Academy of Sciences in 1954 and was able to establish a small research group in organic chemistry, housed in temporary laboratories of an industrial research institute.
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