I presume that to the uninitiated the formulae will appear cold and cheerless; but let it be remembered that, like other mathematical formulae, they find their origin in the divine source of all geometry. Whether I shall have the satisfaction of taking part in their exposition, or whether that will remain for some more profound expositor, will be seen in the future.
To every ?-consistent recursive class ? of formulae there correspond recursive class signs r, such that neither v Gen r nor Neg (v Gen r) belongs to Flg (?) (where v is the free variable of r).kurt gödel
In this science the illustrations and examples are not confined in their effect merely to the practice they afford in the analytical art, but [...] they also store the mind with independent geometrical and physical knowledge. Besides, it should be considered, that the only effectual method of impressing abstract formulae and rules upon the memory, and, indeed, of making them fully and clearly apprehended by the understanding, is by examples of their practical application.dionysius lardner
I know of nothing more terrible than the poor creatures who have learned too much. Instead of the sound powerful judgement which would probably have grown up if they had learned nothing, their thoughts creep timidly and hypnotically after words, principles and formulae, constantly by the same paths. What they have acquired is a spider's web of thoughts too weak to furnish sure supports, but complicated enough to provide confusion.ernst mach
Dostoevsky believed that the gods of rationalism and materialist utilitarianism had joined in conspiracy against all other ethical systems. … The accumulation of capital, or the acquisition of money, are endeavors par excellence which establish a quantifiable goal: hence they are directly amenable to maximization formulae.john carroll
Mathematics may be compared to a mill of exquisite workmanship, which grinds you stuff of any degree of fineness; but, nevertheless, what you get out depends upon what you put in; and as the grandest mill in the world will not extract wheat-flour from peascod, so pages of formulae will not get a definite result out of loose data.thomas henry huxley
Those in authority within institutions and social structures attempt to justify their rule by linking it, as if it were a necessary consequence, with moral symbols, sacred emblems, or legal formulae which are widely believed and deeply internalized. These central conceptions may refer to a god or gods, the 'votes of the majority,' the 'will of the people,' the 'aristocracy of talents or wealth,' to the 'divine right of kings' or to the alleged extraordinary endowment of the person of the ruler himself.c. wright mills
"We need no science of formulae, but a science of forms."viktor schauberger
The infirmity of human intelligence is short sight. In too many cases, the wiseacres are dunces of a sort, who lose sight of the simplicity of things, and stifle and obscure it with formulae and trivialities. It is the small things that one learns from books, not the great ones.
Anyone who has had actual contact with the making of the inventions that built the radio art knows that these inventions have been the product of experiment and work based on physical reasoning, rather than on the mathematicians' calculations and formulae. Precisely the opposite impression is obtained from many of our present day text books and publications.edwin howard armstrong
The artist does not illustrate science; ... [but] he frequently responds to the same interests that a scientist does, and expresses by a visual synthesis what the scientist converts into analytical formulae or experimental demonstrations.
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