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Updated: June 21, 2025
The corollaries from this general principle have been severally illustrated; and it has been shown that the relative goodness of any two modes of expressing an idea, may be determined by observing which requires the shortest process of thought for its comprehension. But though conformity in particular points has been exemplified, no cases of complete conformity have yet been quoted.
To pay the debts and provide for the common defence and general welfare; consequently, to make appropriations for anything which would benefit the people and contribute to their defence or welfare. 5. To make all laws necessary and proper for carrying into effective execution the foregoing powers; consequently to extend the expressed powers to an unlimited degree by adding corollaries to them. 6.
But, further, this reasoning by counters is only suitable to a very limited portion even of our deductive processes. In our reasonings respecting numbers, the only general principles which we ever have occasion to introduce are these, Things which are equal to the same thing are equal to one another, and The sums or differences of equal things are equal; with their various corollaries.
The wondrous power of flattery in passados at woman is a perception so universal as to be remarked upon by many people almost as automatically as they repeat a proverb, or say that they are Christians and the like, without thinking much of the enormous corollaries which spring from the proposition. Still less is it acted upon for the good of the complemental being alluded to.
As for you other good people, I must earnestly pray and beseech you to believe no other thing, to think on, say, undertake, or do no other thing, than what's contained in our sacred decretals and their corollaries, this fine Sextum, these fine Clementinae, these fine Extravagantes. O deific books!
A body from the contemplation of which an archangel could infer the entire inorganic universe as the simplest of corollaries! A throne of the all-pervading Deity, who has guided its every atom since the rosary of heaven was strung with beaded stars!
If the reasonings of the preceding chapter are just, the corollaries respecting political truth, which Mr Godwin draws from the proposition, that the voluntary actions of men originate in their opinions, will not appear to be clearly established.
Often the shunting seems a mere trifle; but, in reality, the switch is that wizard-wand which brings into evidence such corollaries of life as felicity or misery, peace or tribulation, honour or ignominy, found on the permanent way. For others, remember, as well as for ourselves. No one except the anchorite lives to himself; and he is merely a person who evades his responsibilities.
From being sciences of pure experiment, as the phrase is, or, to speak more correctly, sciences in which the reasonings mostly consist of no more than one step, and are expressed by single syllogisms, all these sciences have become to some extent, and some of them in nearly the whole of their extent, sciences of pure reasoning; whereby multitudes of truths, already known by induction from as many different sets of experiments, have come to be exhibited as deductions or corollaries from inductive propositions of a simpler and more universal character.
It is this that is her supreme appeal, not indeed uttered, with all its corollaries, to all her children, but to those only that desire perfection. Yet to all, in a sense, the appeal is there. Die daily, die to self, mortify, yield, give in. If any man will save his life, he must lose it.
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