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Thus Quotes - page 78 - Quotesdtb.com
Thus Quotes - page 78
An explanation of a phenomenon is regarded, apparently instinctively, as the most general possible when it is a mechanical explanation. The "mechanism" of the process is the ultimate goal of experiment. Now this mechanism in general lies beyond the range of the senses; either by reason of their limitations, as in the case of the atomic structure of matter, or by the very nature of the supposed mechanism, as in the theory of the ether. The only way to bridge the gap between the machinery of the physical process and the world of sense-impressions is to think out some consequence of that mechanism. This we will call the hypothesis. The hypothesis, resting still on the mechanical basis, is yet beyond the range of direct experimental investigation; but if, by mathematical reasoning, a consequence of the hypothesis can be deduced, this will often lie within the range of experimental inquiry, and thus a test of the soundness of the original mechanical conception may be instituted.
J. R. Partington
Measure-relations can only be studied in abstract notions of quantity, and their dependence on one another can only be represented by formulæ. On certain assumptions, however, they are decomposable into relations which, taken separately, are capable of geometric representation; and thus it becomes possible to express geometrically the calculated results. In this way, to come to solid ground, we cannot, it is true, avoid abstract considerations in our formulæ, but at least the results of calculation may subsequently be presented in a geometric form. The foundations of these two parts of the question are established in the celebrated memoir of Gauss, Disqusitiones generales circa superficies curvas.
Bernhard Riemann
The statement is so frequently made that the differential calculus deals with continuous magnitude, and yet an explanation of this continuity is nowhere given; even the most rigorous expositions of the differential calculus do not base their proofs upon continuity but, with more or less consciousness of the fact, they either appeal to geometric notions or those suggested by geometry, or depend upon theorems which are never established in a purely arithmetic manner. Among these, for example, belongs the above mentioned theorem, and a more careful investigation convinced me that this theorem, or any one equivalent to it, can be regarded in some way as a sufficient basis for infinitesimal analysis. It then only remained to discover its true origin in the elements of arithmetic and thus at the same time to secure a real definition of the essence of continuity. I succeeded Nov. 24, 1858.
Richard Dedekind
Socialism aside, there also has been a rejection of Western values, of which individual freedom is prominent, and acceptance of some form of value-relativism (thus, no political system is better than any other). In some cases this rejection has turned to outright hostility and particularly anti-Americanism, and thus opposition to American values, such as freedom. To accept, therefore, that democratic freedom is inherently most peaceful, is to the value-relativist, to say the unacceptable-that it is better.
Rudolph Rummel
The Dutch Company, actuated solely by the spirit of gain, and viewing their [Javan] subjects, with less regard or consideration than a West India planter formerly viewed a gang upon his estate, because the latter had paid the purchase money of human property, which the other had not, employed all the existing machinery of despotism to squeeze from the people their utmost mite of contribution, the last dregs of their labor, and thus aggravated the evils of a capricious and semi-barbarous Government, by working it with all the practised ingenuity of politicians, and all the monopolizing selfishness of traders.
Stamford Raffles
In the interpretation of figurative passages, let the following canon be observed. If the passage be preceptive, either forbidding some flagitious deed and some heinous crime, or commanding something useful and beneficent: then such passage is not figurative. But, if the passage seems, either to command some flagitious deed and some heinous crime, or to forbid something useful and beneficent: then such passage is figurative. Thus, for example, Christ says: Unless ye shall eat the flesh of the Son of man, and drink his blood; ye shall have no life in you. Now, in these words, he seems to command a heinous crime or a flagitious deed. Therefore the passage is a figure, enjoining us to communicate in the passion of our Lord, and admonishing us to lay it up sweetly and usefully in our memory because, for us, his flesh was crucified and wounded. On the other hand, Scripture says: If thy enemy shall hunger, give him food; if he shall thirst, give him drink.
George Stanley Faber
Modern imperialism finds its ideological justification in the now fashionable linguistic philosophy which either regards all meanings as wholly arbitrary (e. g., Quine, White, Goodman, etc.), or reduces them to the facticity of everyday discourse (e. g., Wittgenstein, Austin, etc.). In this fashion, all meanings are either equally unfounded, or they can be founded only in the domain of the given. In either case, imperialism is implicitly justified, for, in the first case it is regarded as at least as rational a system as any other, thus neutralizing any possible rational arguments for its debunking, or else, in the second case, since all meanings reduce to the given and the given is, in fact, imperialist, imperialism itself becomes the criterion of all meaningfulness.
Silvia Federici