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In A Paradox of the Natural and Supernatural States of Bodies, Especially of the Air, Boyle says: "I know that not only in living, but even in inanimate, bodies, of which alone I here discourse, men have universally admitted the famous distinction between the natural and preternatural, or violent state of bodies, and do daily, without the least scruple, found upon it hypotheses and ratiocinations, as if it were most certain that what they call nature had purposely formed bodies in such a determinate state, and were always watchful that they should not by any external violence be put out of it.

By such ratiocinations from the separate laws of the causes, we may, to a certain extent, succeed in answering either of the following questions: Given a certain combination of causes, what effect will follow? and, What combination of causes, if it existed, would produce a given effect?

And the terrible part of it is they succeed so wonderfully that philosophers like myself are apt to find our ratiocinations wofully mixed when we try to reason about the matter. You remember, perhaps, that Josephine induced me earlier in our wedded life to give a large party for her sister Julia?

Her mind was a storehouse of folklore, romance, poetry and religion; her rationalistic readings had not in any way become part of her, though facts and ratiocinations, by mere feat of memory, were stored in her mind as irrelevances and unrealities that came elbowing their way through her dreams just as fantastic thoughts come as one falls asleep.

Will he maintain that the populations of India, in the midst of whom one of the most subtile and ingenious systems of pantheism has sprung up with the luxuriance and involutions of one of their own jungles, and has enervated the whole religious sentiment of the Hindoo race as opium has enervated their physical frame, will he maintain that such an untiring and persistent mental activity as this is incapable of apprehending the first principles of ethics and natural religion, which, in comparison with the complicated and obscure ratiocinations of Boodhism, are clear as water, and lucid as atmospheric air?

Shall we say, The people must be brought back to the old-time endurance ay, endurance, that is the word of long-drawn, laborious ratiocinations, wherein the truth is diligently pursued for its own sake, with an ultimate reference, indeed, to the needs and uses of the hearer, but so remote as rarely to be noticed, except by that very small fraction of any customary congregation who may chance to have an interest in such doings, some of whom watch the clergyman as they would the entomologist, running down a truth that he may impale it, and add one more specimen to his well-ordered collection of common and of uncommon bugs?

If all ratiocinations resembled, as to the minor premise, the examples which were exclusively employed in the preceding chapter; if the resemblance, which that premise asserts, were obvious to the senses, as in the propositionSocrates is a man,” or were at once ascertainable by direct observation; there would be no necessity for trains of reasoning, and Deductive or Ratiocinative Sciences would not exist.

He read in a high, clear treble the telegraphic dispatches, the sanguinary editorial ratiocinations, Orphic in their prophetic sententiousness, and then turned to the local columns. Any one listening to the lad would never have suspected that he was not a Southron.

Lord HALIFAX spoke next, in substance as follows: My lords, though I do not conceive the people infallible, yet I believe that in questions like this they are seldom in the wrong, for this is a question not of argument but of fact; of fact discoverable, not by long deductions and accurate ratiocinations, but by the common powers of seeing and feeling.

These two books, constantly read, commented upon and annotated by him, filled his head with fancies and dreams. Between the bitter, despairing, yet fundamentally romantic ratiocinations of Balzac, and the idealities of Goethe and Heine, the poor baker dwelt in the most unreal of worlds.