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Updated: May 10, 2025


The maddening part of it was her ability to cite facts and authorities whose existence he was not aware of, to confute him with logic and compel him to admit that he did not know, that much of what he asserted so emphatically was based on mere belief rather than demonstrable fact or rational processes of arriving at a conclusion.

Whether the effect of devotion to a single idea be disastrous or otherwise to the devotees, nothing in all history is better proved nothing in all philosophy is more clearly demonstrable than the fact that it is a damage to the idea. If I wished to disgust a community with any special idea, I would set a man talking about it and advocating it who would talk of nothing else.

The eyes of Natura on any new and pleasing object, would denote by their sparkling a sensation of joy: Fear was visible in him by clinging to his nurse, and endeavouring to bury himself as it were in her bosom, at the sound of menaces he was not capable of understanding: That sorrow has a place among the first emotions of the soul, was demonstrable by the sighs which frequently would heave his little heart, long before it was possible for him either to know or to imagine any motives for them: That the seeds of avarice are born with us, by the eagerness with which he catched at money when presented to him, his clinching it fast in his hand, and the reluctance he expressed on being deprived of it: That anger, and impatience of controul, are inherent to our nature, might be seen in his throwing down with vehemence any favourite toy, rather than yield to resign it; and that spite and revenge are also but too much so, by his putting in practice all such tricks as his young invention could furnish, to vex any of the family who had happened to cross him: Even those tender inclinations, which afterwards bear the name of amorous, begin to peep out long before the difference of sex is thought on; as Natura proved by the preference he gave the girls over the boys who came to play with him, and his readiness to part with any thing to them.

IV. INTERNAL CAUSES OF COLD ARE FROM RELIGION. That the very origin of conjugial love resides in the inmost principles of man, that is, in his soul, is demonstrable to every one from the following considerations alone; that the soul of the offspring is from the father, which is known from the similitude of inclinations and affections, and also from the general character of the countenance derived from the father and remaining with very remote posterity; also from the propagative faculty implanted in souls from creation; and moreover by what is analogous thereto in the subjects of the vegetable kingdom, in that there lies hid in the inmost principles of germination the propagation of the seed itself, and thence of the whole, whether it be a tree, a shrub, or a plant.

The more minute this nodal subdivision, the less must be the tendency to give up part of the vibrational energy into the shape of translational energy in the course of a collision; and I think it is rigorously demonstrable that the whole translational energy must ultimately become transformed into vibrational energy of higher and higher nodal subdivisions if each molecule is a continuous elastic solid.

The general symmetry between demand and supply thus seemed almost to imply a fundamental symmetry between utility and cost. If, then, cost in the last analysis is derived from utility, does not this make nonsense of the symmetry between demand and supply, or, if we cling to this last symmetry as a demonstrable truth, must we not refuse to admit that cost can be derived from utility?

If these later members, in all or in many cases, exhibit a certain amount of modification, the fact is, so far, evidence in favour of a general law of change; and, in a rough way, the rapidity of that change will be measured by the demonstrable amount of modification.

None of these affirmations is, strictly speaking, demonstrated or demonstrable; but they offer very different degrees of probability, and it is for this reason that we shall notice them. Amongst these affirmations there are some that we have already met with in our study of the definition of sensation; others will be newer to us.

It is from the aggregate heartbeat of living individuals, of we know not how many or what sort of worlds, that the sun rests stable. Which may be dismissed as metaphysics, although it is quite as valid or even as demonstrable as Newton's Law of Gravitation, which law still remains a law, even if not quite so absolute as heretofore. But this is a digression.

But that, as yet, the endeavor to apprehend fundamental Principles, in other spheres than these, has been attended with only partial success; and hence, the ability to establish a Mathematical or Demonstrable basis for other regions of Thought is yet wanting, so far as is commonly known.

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