In literature:
No syllogism is needed to persuade us to eat, no prophecy of happiness to teach us to love.
"The Life of Reason" by George Santayana
The only flaw in this syllogism is that it is in direct conflict with every known fact.
"The Open Secret of Ireland" by T. M. Kettle
Now there's no use bringing your old syllogisms into this business.
"The City and the World and Other Stories" by Francis Clement Kelley
Isn't that a syllogism?
"Grey Roses" by Henry Harland
It cannot be destroyed by syllogism.
"Edward Caldwell Moore" by Edward Moore
This is very serious; the more so, from the syllogism being so admirably formed.
"Essays on Political Economy" by Frederic Bastiat
I understand none of your syllogisms.
"The Atlantic Monthly, Volume 13, No. 75, January, 1864" by Various
In a syllogism there should be only three terms.
"The Art of Public Speaking" by Dale Carnagey (AKA Dale Carnegie) and J. Berg Esenwein
The intuition has its rights as well as the syllogism, and will always ultimately assert them.
"Nature Mysticism" by J. Edward Mercer
One doesn't, at that age, reason things out; one knows them, and is dumb, though unconvinced, before powerful syllogisms to the contrary.
"Lore of Proserpine" by Maurice Hewlett
He merely altered the premisses of a syllogism.
"Gibbon" by James Cotter Morison
Tristram hastily applied his syllogism.
"The Blue Pavilions" by Sir Arthur Thomas Quiller-Couch
For all the light and shadow of sentiment and passion play even about the syllogism.
"A Preface to Politics" by Walter Lippmann
Much of our reasoning is an abbreviated form of the syllogism, and will readily expand into it.
"The Mind and Its Education" by George Herbert Betts
But it would be wrong; our syllogism would have a badly undistributed middle.
"The World in Chains" by John Mavrogordato
Because the crossing of terms in a syllogism requires it.
"Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5" by Various
Normal instincts are worth more than syllogisms.
"Literature for Children" by Orton Lowe
When, however, we thus add syllogism to syllogism, we are really adding induction to induction.
"A System of Logic: Ratiocinative and Inductive" by John Stuart Mill
Scientific proof, in his conception, is furnished in the form of the syllogism, whose component elements are terms and propositions.
"International Congress of Arts and Science, Volume I" by Various
The first Analytic contains in two books the universal doctrine of the Syllogism.
"A History of Philosophy in Epitome" by Albert Schwegler
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In news:
Very strict constructionism, in the form of creating backwards syllogisms and thereby violating the spirit of the Constitution, has been a hallmark of the Bush administration conservatives.
The technical name is syllogomania, from sylloge ("to collect"), but most psychiatric professionals call it compulsive hoarding.
Listening recently to Senator Kit Bond (R-MO) explain how the government is protecting privacy in the United States, I was reminded of my college logic class, where we learned about syllogisms: All men are mortal.
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In science:
However, they will not satisfy the Disjunctive Syllogism.
Preferential and Preferential-discriminative Consequence relations
However, |∼ does not satisfy the Disjunctive Syllogism.
Preferential and Preferential-discriminative Consequence relations
Actually, syllogisms introduced by Aristotle, as well as deduction rules of modern logic are schemas for logical inference and mathematical proofs.
Mathematical Models in Schema Theory
We extend the diagrammatic calculus of syllogisms introduced in to the general case of n-term syllogisms, showing that the valid ones are exactly those whose conclusion follows by calculation.
A diagrammatic calculus of n-term syllogisms
The main aims of the present paper are on one hand that of extending to the n-term case the diagrammatic calculus of syllogisms introduced in , where we dealt with the basic 3-term case and on the other hand that of single out a suitable category theoretic framework for the calculus itself.
A diagrammatic calculus of n-term syllogisms
In section 3, we will deal with n-term syllogisms and prove that the calculus extends to them, by showing in turn that the valid n-term syllogisms are exactly those whose conclusion follows from their premisses by calculation.
A diagrammatic calculus of n-term syllogisms
In each of them, A denotes the subject whereas B denotes the predicate of the corresponding proposition. A syllogism is a rule of inference that involves three categorical propositions that are distinguished by referring them to as ﬁrst premise , second premise and conclusion.
A diagrammatic calculus of n-term syllogisms
Moreover, a syllogism involves exactly three term-variables S , P and M in the following precise way: M does not occur in the conclusion whereas, according to the tradition, P occurs in the ﬁrst premise and S occurs in the second premise.
A diagrammatic calculus of n-term syllogisms
The termvariables S and P occur as the subject and predicate of the conclusion, respectively, and are also referred to as minor term and major term of the syllogism, whereas M is also referred to as middle term.
A diagrammatic calculus of n-term syllogisms
The mood of a syllogism is the sequence of the kinds of categorical propositions by which it is formed, whereas its ﬁgure is the position of the term-variables S , P and M in it.
A diagrammatic calculus of n-term syllogisms
Venn diagrams ca n be used to verify the validity of syllogisms, see for example.
A diagrammatic calculus of n-term syllogisms
We here point out the existing connections between the previously introduced calculus of syllogisms and the rewriting of certain terms, on the base of suitable rewrite rules.
A diagrammatic calculus of n-term syllogisms
Now, the idea is that of looking at the calculus of n-term syllogisms as to a rewriting system, or better as to a speciﬁc 2-polygraph.
A diagrammatic calculus of n-term syllogisms
The previous data extend those for the calculus of 1-term syllogisms to recover the calculus of 2-term syllogisms.
A diagrammatic calculus of n-term syllogisms
If n = 3, then the data for the calculus of 3-term syllogisms extend the previous and amount to the whole of those listed in de ﬁnition 4.6.
A diagrammatic calculus of n-term syllogisms
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