This may be called the
syllogism arithmetical, in which, by combining logic and mathematics, we obtain a double certainty and are twice blessed.
Or he may see intellectual spectres and phantoms that are cosmic and logical and that take the forms of
syllogisms. It is when in this condition that he strips away the husks of life's healthiest illusions and gravely considers the iron collar of necessity welded about the neck of his soul.
Then, gentle friends, aid me in this attempt; And I, that have with subtle
syllogisms Gravell'd the pastors of the German church, And made the flowering pride of Wittenberg Swarm to my problems, as th' infernal spirits On sweet Musaeus when he came to hell, Will be as cunning as Agrippa was, Whose shadow made all Europe honour him.
"That is touching another great and much disputed question," exclaimed the Doctor, who seized upon every distinct idea that the ardent and somewhat dogmatic old man left exposed to his mental grasp, with the vain hope of inducing a logical discussion, in which he might bring his battery of
syllogisms to annihilate the unscientific defences of his antagonist.
370) Although not a truncated
syllogism, this is an enthymeme "because the major premise is not quite universal and thus the conclusion only probable" (Madden, 1952, p.
Renaissance humanists, who gave the Topics and Rhetoric more attention, found there an image of induction more like Socrates' search for definitions than Aristotle's treatment of the
syllogism. Francis Bacon's influential work on induction early in the seventeenth century contributed to a further minimizing of Prior Analytics II 23.
Conventional wisdom holds this
syllogism about prescription drugs: they cost much more in the United States than in Europe; the price differential is due to European governments' desire to keep down costs to their health-care spending; and the long-term effect is driving corporate research and development on new drugs to the United States, where companies can charge higher prices and earn big profits for innovative products.
published in Virginia Quarterly Review,
Syllogism, Fourteen Hills: The
Premise 1 All teachers are psychologists Premise 2 Some writers are teachers Conclusion Some writers are psychologists Each
syllogism contains three terms (teachers, psychologists and writers in the above example), one of which is common to both premises (in this case, teachers).
In the introduction of the book he constructs an implicit
syllogism that runs something like this: culture is unconscious; the unconscious is (for the historian) unknowable; therefore, culture is unknowable.
Anarchist; logic;
syllogism; paradox; revolution; political theory; social fictions
In induction (understood as a
syllogism), reasoning proceeds from two particular premises to a general conclusion.
In line with the Aristotelian Islamic philosophers, al-Sijzi seems in fact to admit that mathematical knowledge, like any other knowledge, may be characterised by the twosome "conception/judgment" (tasawwur/tasdiq); whereas in mathematics this twosome is confined to that of "conception/demonstration", in that here judgment is considered but a demonstrative
syllogism. Again in line with the Aristotelians, al-Sijzi only recognizes that conception which is 'essential' and revealed by way of a rational intuition or expressed in a definition.
