Such indemonstrable truths were called by the ancients axioms from their majesty and authority, as the assumptions which constitute demonstrative syllogisms derive all their force and efficacy from these.

At present it has been cultivated for the purpose of resolving syllogisms, and progress is made.

It was their Method in these polemical Debates, first to discharge their Syllogisms, and afterwards to betake themselves to their Clubs, till such Time as they had one Way or other confounded their Gainsayers.

From them Aristotle learned the syllogism....

[and I believe scarce any one makes syllogisms in reasoning within himself.]

Nature is strong; she is persistent; she completes her syllogism after we have long been feeding the roots of her grasses, and has her own way in spite of us.

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.

3, the distinction between phenomena and noumena, then went on to construct a hypothetical system of ghosts, piled one syllogism on another, and concluded with the logical proof that there are absolutely no ghosts.

Bacon rejects the syllogism on the ground that it fits one to overcome his opponent in disputation, but not to gain an active conquest over nature.

This trick consists in stating a false syllogism.

It subordinates syllogism to induction, the technical to the real; it divests the major premiss of its illusory pretence to be itself the proving authority, or even any real and essential part of the proofand acknowledges it merely as a valuable precautionary test and security for avoiding mistake in the process of proving.

He took away the syllogism from Thomas Aquinas,not to throw contempt on metaphysical inquiry or dialectical reasoning, but to arrive by a better method at the knowledge of first principles; which once established, he allowed deductions to be drawn from them, leading to other truths as certainly as induction itself.

I abhor a syllogism.

And thus he satisfied himself, as all do, whose hope weaves the syllogisms of their wishes, and sits to see pleasure caught on the wing.

Or, if it is doubtful whether your opponent will admit them, you must advance the premisses of these premisses; that is to say, you must draw up pro-syllogisms, and get the premisses of several of them admitted in no definite order.

It may not be enough to prove at once that the syllogism is defective: still less is it a sufficient warrant for establishing an opposite syllogism.

Some of them even claim to be super-logical; and say they are too big for syllogisms; generally having found even one syllogism too big for them.

The Barrister might have framed a second law-syllogism, as acute as his former.

The reason is that we have never read for this purpose, we have never written for this purpose, so that we may in our actions use in a way conformable to nature the appearances presented to us; but we terminate in this, in learning what is said, and in being able to expound it to another, in resolving a syllogism, and in handling the hypothetical syllogism.