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Updated: April 30, 2025
The forms of relation between them, becoming themselves in turn noticed by the mind, are treated as conceptions of a higher and more abstract order, as when we speak of a syllogistic relation' between propositions, or of four quantities making a 'proportion, or of the 'inconsistency' of two conceptions, or the 'implication' of one in the other.
The probability looms with almost the certainty of a syllogistic deduction, that such will be the outcome to our hundreds of thousands of years of pain upon earth. In the face of that, speculations upon a comet or gaseous emanations hitting the planet, or the sun growing cold, become babyish fancies.
Therefore, it is equally in bad taste with those who are to be married; logically, consequently, and in the third place and lastly it is not proper, between myself and you, my Fanny hum Miss Fanny!" This syllogistic discourse was received by Fanny with a mixture of blushes and satirical curls of the lip.
He resembled Plato in his deep and pious meditations on the eternal realities of the spiritual world, while in the severity of his logic he resembled Aristotle, from whom he learned precision of language, lucidity of statement, and a syllogistic mode of argument well calculated to confirm what was already known, but not to make attainments in new fields of thought or knowledge.
No attempt was made to say the last word, only a wish to express the truth that the spirit of God is manifest on every hand. Now this is a very simple philosophy. No far-reaching, syllogistic logic is required to prove it; no miracle, nor special dispensation is needed; you just feel that it is so, that's all, and it gives you peace.
By the Karaites tradition was rejected, and there remained only belief in the words of the Bible. On the side of reason was urged first the claim of the testimony of the senses, and second the validity of logical inference as determined by demonstration and syllogistic proof.
It must be what it OUGHT to be, and OUGHT to be this; and then we seek for every reason, good or bad, to make this which so deeply ought to be, seem objectively the probable thing. We show the arguments against it to be insufficient, so that it MAY be true; we represent its appeal to be to our whole nature's loyalty and not to any emaciated faculty of syllogistic proof.
Now if it could have happened in that manner, why might it not have been at the same time, and by the same means, with the other parts of the globe?" This ingenious mode of deducing certain conclusions from possible premises is an improvement in syllogistic skill, and proves the good father superior even to Archimedes, for he can turn the world without anything to rest his lever upon.
The syllogistic method of presentation employed in the Euclidean geometry led to the belief that the more special theorems had been derived from the simpler ones, and these from the axioms, by a process of conceptual analysis; while the fact is that in mathematics all progress is by intuition alone, the syllogism serving merely to formulate and explain truths already attained, but not to supply new ones.
We have now to inquire, whether the syllogistic process, that of reasoning from generals to particulars, is, or is not, a process of inference; a progress from the known to the unknown; a means of coming to a knowledge of something which we did not know before. Logicians have been remarkably unanimous in their mode of answering this question.
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