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Updated: April 30, 2025
We dismissed the scale: analytic, synthetic, polysynthetic, as too merely quantitative for our purpose. Isolating, affixing, symbolic this also seemed insufficient for the reason that it laid too much stress on technical externals. Isolating, agglutinative, fusional, and symbolic is a preferable scheme, but still skirts the external.
Or ale, a foaming tankard of ale, ten miles of sturdy tramping in the sleet and slush as a prelude, and then good bread and good butter and a ripe hollow Stilton and celery and ale ale with a certain quantitative freedom. Or, again, where is the sin in a glass of tawny port three or four times, or it may be five, a year, when the walnuts come round in their season?
It is strange that this point has not been more considered, especially by thinkers who are fond of the word 'humanity' 'the good of humanity' or the 'greatest happiness of the greatest number'. Humanity has an arithmetical or quantitative side, and the good of humanity surely depends, to some extent, on how much humanity there is.
It makes a difference in social attitude whether the telephone, automobile, and parcel post draw the people nearer together in a common community life or whether they bring the people under the magic of the city's quantitative life and in this way cause rural discontent.
It is indeed an absurdity to the "pure line" Mendelian, but not to one who appreciates the fact that Mendelian units are subject to quantitative variation sometimes continuous, sometimes discontinuous. An example of the former is found in the hooded pattern of rats, of the latter in albinism and other Mendelizing characters which assume multiple allelomorphic conditions.
Now what are the obstructions, and what are the antagonisms to the exploitation of this world-wide disgust with war and the world-wide desire for peace, so as to establish a world peace? Let us take them in order, and it will speedily become apparent that we are dealing here with a subtle quantitative problem in psychology, a constant weighing of whether this force or that force is the stronger.
The essential point is that in every case in which a political thinker is able to adopt what Professor Marshall calls the quantitative method of reasoning, his vocabulary and method, instead of constantly suggesting a false simplicity, warn him that every individual instance with which he deals is different from any other, that any effect is a function of many variable causes, and, therefore, that no estimate of the result of any act can be accurate unless all its conditions and their relative importance are taken into account.
In each case we shall see, as before, how the idea of equality underlies all quantitative prevision; and in what simple forms this idea is first applied. As already shown, the first theorem established in mechanics was, that equal weights suspended from a lever with equal arms would remain in equilibrium.
This character can be defined by quantitative expressions expressing relations between various quantities intrinsic to the event or between such quantities and other quantities intrinsic to other events. In the case of events of considerable spatio-temporal extension this set of quantitative expressions is of bewildering complexity. Then corresponding to the series there is the series
The postulate on which we think about the universe is that there is a fixed quantitative relation between every phenomenon and its antecedents and consequents. If there is such a thing as a phenomenon without these fixed quantitative relations, it is a miracle.
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