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Updated: May 26, 2025
But it is seldom remembered that the Puritans were in their day emphatically intellectual bullies, that they relied swaggeringly on the logical necessity of Calvinism, that they bound omnipotence itself in the chains of syllogism. The Puritans fell, through the damning fact that they had a complete theory of life, through the eternal paradox that a satisfactory explanation can never satisfy.
For, by one of those arrangements with their consciences of which women alone possess the secret, she had managed to reason like this: "Since I am certain always to belong to Monsieur de Bergenheim only, Octave can certainly belong to me." An heterodoxical syllogism, whose two premises she reconciled with an inconceivable subtlety.
For in the case of every correct argument, as soon as thrown into the syllogistic form, it is evident without the aid of any other syllogism, that he who, admitting the premises, fails to draw the conclusion, does not conform to the above axiom. We have now proceeded as far in the theory of Deduction as we can advance in the present stage of our inquiry.
She didn't however on this occasion meet her constant companion with that syllogism, because a formidable force seemed to lurk in the great contention that the star of matrimony for the American girl was now shining in the east in England and France and Italy.
Fifthly, 'All animals have sense, but a dog is an animal: here it signifies little more but that the latter proposition is joined to the former, as the minor of a syllogism. This Matter of the use of Particles but lightly touched here.
It remains to translate this exposition of the syllogism from the one into the other of the two languages in which we formerly remarked that all propositions, and of course therefore all combinations of propositions, might be expressed. We observed that a proposition might be considered in two different lights; as a portion of our knowledge of nature, or as a memorandum for our guidance.
We find it resolvable in all cases into the following elements: Certain individuals have a given attribute; an individual or individuals resemble the former in certain other attributes; therefore they resemble them also in the given attribute. This type of ratiocination does not claim, like the syllogism, to be conclusive from the mere form of the expression; nor can it possibly be so.
We have, then, as the result of the reduction, the following syllogism in the third mood of the first figure: In the same manner, or in a manner on which after these examples it is not necessary to enlarge, every mood of the second, third, and fourth figures may be reduced to some one of the four moods of the first.
He saw the petitio principii which is inherent in every syllogism, if we consider the major to be itself the evidence by which the conclusion is proved, instead of being, what in fact it is, an assertion of the existence of evidence sufficient to prove any conclusion of a given description. Seeing this, Dr.
Having here had occasion to speak of syllogism in general, and the use of it in reasoning, and the improvement of our knowledge, it is fit, before I leave this subject, to take notice of one manifest mistake in the rules of syllogism: viz. that no syllogistical reasoning can be right and conclusive, but what has at least one GENERAL proposition in it.
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