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Arbitrary Quotes - page 6 - Quotesdtb.com
Arbitrary Quotes - page 6
America - a conservative country without any conservative ideology - appears now before the world a naked and arbitrary power, as, in the name of realism, its men of decision enforce their often crackpot definitions upon world reality. The second-rate mind is in command of the ponderously spoken platitude. In the liberal rhetoric, vagueness, and in the conservative mood, irrationality, are raised to principle. Public relations and the official secret, the trivializing campaign and the terrible fact clumsily accomplished, are replacing the reasoned debate of political ideas in the privately incorporated economy, the military ascendancy, and the political vacuum of modern America.
C. Wright Mills
So much of modern mathematical work is obviously on the border-line of logic, so much of modern logic is symbolic and formal, that the very close relationship of logic and mathematics has become obvious to every instructed student. The proof of their identity is, of course, a matter of detail: starting with premisses which would be universally admitted to belong to logic, and arriving by deduction at results which as obviously belong to mathematics, we find that there is no point at which a sharp line can be drawn, with logic to the left and mathematics to the right. If there are still those who do not admit the identity of logic and mathematics, we may challenge them to indicate at what point, in the successive definitions and deductions of Principia Mathematica, they consider that logic ends and mathematics begins. It will then be obvious that any answer must be quite arbitrary.
Bertrand Russell
More generally, the hidden variable account of a given system becomes entirely different when we remember that it has undoubtedly interacted with numerous other systems in the past and that the total wave function will certainly not be factorable. The same effect complicates the hidden variable account of the theory of measurement, when it is desired to include part of the 'apparatus' in the system. Bohm of course was well aware of these features of his scheme, and has given them much attention. However, it must be stressed that, to the present writer's knowledge, there is no proof that any hidden variable account of quantum mechanics must have this extraordinary character. It would therefore be interesting, perhaps, to pursue some further 'impossibility proofs,' replacing the arbitrary axioms objected to above by some condition of locality, or of separability of distant systems.
John Stewart Bell
No government, at that time, appeared in the world, nor is perhaps to be found in the records of any history, which subsisted without the mixture of some arbitrary authority, committed to some magistrate; and it might reasonably, beforehand, appear doubtful, whether human society could ever arrive at that state of perfection, as to support itself with no other control, than the general and rigid maxims of law and equity. But the parliament justly thought, that the King was too eminent a magistrate to be trusted with discretionary power, which he might so easily turn to the destruction of liberty. And in the event it has been found, that, though some inconveniencies arise from the maxim of adhering strictly to law, yet the advantages so much overbalance them, as should render the English forever grateful to the memory of their ancestors, who, after repeated contests, at last established that noble principle.
David Hume