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Topic: Syllogism


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  Categorical Syllogism   (Site not responding. Last check: 2007-10-15)
One of those terms must be used as the subject term of the conclusion of the syllogism, and we call it the minor term of the syllogism as a whole.
The third term in the syllogism doesn't occur in the conclusion at all, but must be employed in somewhere in each of its premises; hence, we call it the middle term.
Since one of the premises of the syllogism must be a categorical proposition that affirms some relation between its middle and major terms, we call that the major premise of the syllogism.
www.philosophypages.com /lg/e08a.htm   (1504 words)

  
  Syllogism - LoveToKnow 1911
The form of the syllogism is therefore: A is B Major premise C is A Minor „.'.
C is B Conclusion Syllogisms differ in (a) " figure " and (b) " mood." (a) Difference of figure depends on the order of the terms in the premises.
The general criticism of the syllogism as a means of discovering truth is that it is a petitio principii, or begging of the question.
www.1911encyclopedia.org /Syllogism   (1707 words)

  
 syllogism - HighBeam Encyclopedia
Every syllogism is a sequence of three propositions such that the first two imply the third, the conclusion.
The categorical syllogism comprises three categorical propositions, which must be statements of the form all x are y, no x is y, some x is y, or some x is not y.
A categorical syllogism contains precisely three terms: the major term, which is the predicate of the conclusion; the minor term, the subject of the conclusion; and the middle term, which appears in both premises but not in the conclusion.
www.encyclopedia.com /doc/1E1-syllogis.html   (488 words)

  
 AKMA’s Random Thoughts: The Practical Syllogism
To oversimplify, the practical syllogism differs from the scientific syllogism inasmuch as the scientific syllogism concerns logical or mathematical demonstrations of and#8220;what cannot be otherwiseand#8221;and#8212;the proofs we studied in geometry and logic classes.
In these syllogisms, the major premise states a general truth (and#8220;All humans are mortaland#8221;), the minor premise states an instance of the general term (and#8220;Xanthippe is a humanand#8221;), and the conclusion predicates the general condition of the particular case (and#8220;therefore Xanthippe is mortaland#8221;).
In these syllogisms, the major premise states a general truth (“All humans are mortal”), the minor premise states an instance of the general term (“Xanthippe is a human”), and the conclusion predicates the general condition of the particular case (“therefore Xanthippe is mortal”).
akma.disseminary.org /archives/000131.html   (978 words)

  
 Syllogism - Search Results - ninemsn Encarta
Syllogism, a form of argument used in logic in which a conclusion is drawn from two propositions, or premises.
The conclusion of your syllogism, I said lightly, is fallacious, being based upon licensed premises.
Deduction, in logic, the form of reasoning by which a specific conclusion is inferred from one or more premises.
au.encarta.msn.com /Syllogism.html   (134 words)

  
 Lewis Carroll's Logic Game
A syllogism is discourse in which, certain things being stated, something other than what is stated follows of necessity from their being so.
Things that have been stated are known as premises and the one that follows from the premises is known as the conclusion of the syllogism.
With the advent of formalism of propositional calculus invented by the English mathematician George Boole(1815-1864), two of his syllogisms were found invalid in that the conclusion might not be always inferred from the premises.
www.cut-the-knot.org /LewisCarroll/syllogism.shtml   (547 words)

  
 Syllogism - Wikipedia, the free encyclopedia
A syllogism (Greek: συλλογισμός — "conclusion", "inference"), is a smelly cheese usually the categorical syllogism, is a kind of logical argument in which one proposition (the conclusion) is inferred from two others (the premises) of a certain form.
The syllogism is at the core of Deductive reasoning, where facts are determined by combining existing statements, in contrast to Inductive reasoning where facts are determined by experimenting on the world.
The Figures of the Syllogism is a brief table listing the forms of the syllogism.
en.wikipedia.org /wiki/Syllogism   (1261 words)

  
 [No title]
A syllogism is modernly defined as "a particular kind of argument containing three categorical propositions, two of them premises, one a conclusion".
Aristotle defines a syllogism as a "logos in which, certain things being posited, something other than what is posited follows of necessity from their being so" (An.
Aristotle's introduction of the syllogism should not be underappreciated.
www.perseus.tufts.edu /GreekScience/Students/Jordana/LOGIC.html   (993 words)

  
 The Syllogism
Accordingly the Syllogism is the essential ground of whatever is true: and at the present stage the definition of the Absolute is that it is the Syllogism, or stating the principle in a proposition: Everything is a Syllogism.
For, in the first place, what the formal logic usually examines in its theory of syllogism, is really nothing but the mere syllogism of understanding, which has no claim to the honour of being made a form of rationality, still less to be held as the embodiment of all reason.
There was a time when the syllogism was regarded as an absolute rule for all cognition, and when a scientific statement was not held to be valid until it had been shown to follow from a process of syllogism.
www.marxists.org /reference/archive/hegel/works/sl/slsyllog.htm   (4750 words)

  
 Silly Syllogisms
A categorical syllogism is one whose premises and conclusion are all categorical statements.
The mood of a categorical syllogism is a matter of what kind of categorical statement each statement is, and it is represented by a three letter acronym.
The figure of a categorical syllogism is the position of its major, minor, and middle terms.
www.duniho.com /fergus/sillysyllogisms.html   (980 words)

  
 Shirky: The Semantic Web, Syllogism, and Worldview
Despite their appealing simplicity, syllogisms don't work well in the real world, because most of the data we use is not amenable to such effortless recombination.
This 5-line syllogism is the best critique of the Semantic Web ever published, as its illustrates the kind of world we would have to live in for this form of reasoning to work, a world where language is merely math done with words.
Dodgson's syllogisms actually demonstrate the limitations of the form, a pattern that could be called "proof of no concept", where the absurdity of an illustrative example undermines the point being made.
www.shirky.com /writings/semantic_syllogism.html   (3139 words)

  
 Medieval Theories of the Syllogism (Stanford Encyclopedia of Philosophy)
Aristotle treats modal syllogisms with (i) uniform necessity, (ii) uniform contingency, (iii) mixed necessity and assertoric, (iv) mixed contingency and assertoric, and (v) mixed necessity and contingency premises.
As consequences, syllogisms are distinguished by their conjunctive antecedent and single-sentence consequent, and furthermore by their three terms — though this last condition is not necessary since Buridan also treats of syllogisms with more than three terms.
Supposition is a theory of reference and it is the coreferentiality of terms in the different sentences in a syllogism that is the decisive factor in determining whether the principle of uniform substitution is satisfied or not.
plato.stanford.edu /entries/medieval-syllogism   (11682 words)

  
 Science of Logic, Syllogism of Reflection
To this extent therefore the categorical syllogism is no longer subjective; in the above identity, objectivity begins; the middle term is the pregnant identity of its extremes which are contained therein in their self-subsistence, for their self-subsistence is the above substantial universality, the genus.
The mediation of the syllogism has hereby determined itself as individuality, immediacy, and as self-related negativity, or as an identity that differentiates itself and gathers itself into itself out of that difference — as absolute form, and for that very reason as objective universality, a content that is identical with itself.
As the hypothetical syllogism in general comes under the schema of the second figure of the formal syllogism, U-I-P, so the disjunctive syllogism comes under the schema of the third figure, I-U-P. But the middle term is the universality that is pregnant with form; it has determined itself as totality, as developed objective universality.
www.marxists.org /reference/archive/hegel/works/hl/hl696.htm   (1878 words)

  
 Similarities between Euclidean Theorems and Syllogisms
The premises of a syllogism is the assumption aspect.
There are unlimited number of premises in an syllogism however there is a minimum of two.
The truthfulness and validity of the theorem, and the dependents are identical to the syllogisms and the examples.
members.tripod.com /IB-Essays/syllogism.html   (809 words)

  
 syllogism   (Site not responding. Last check: 2007-10-15)
Although the term "syllogism" is never used in Grendel, Gardner does give us a sample in the Dragon's mockery of human thinking:
Aristotle thought that a correctly formed syllogism was the best, most rational, tool by which men could test the truth.
The Dragon's mind sees all things in connection across time and space, and so he is able to spot the flaw in human minds which causes them to have a narrow vision, to believe that facts can exist in isolation from each other.
www.brtom.org /gr/syllog.html   (135 words)

  
 DOLHENTY ARCHIVE: The Hypothetical Syllogism
The propositions contained with a categorical syllogism consist of a direct assertion between the subject and the predicate of a sentence.
A mixed conditional syllogism consists of one premise that is a conditional proposition and one premise that is a categorical proposition.
The disjunctive syllogism is one in which the major premise is a disjunctive proposition.
radicalacademy.com /logichypothetsyllo.htm   (3196 words)

  
 29 Hypothetical Syllogism & Production
Hypothetical syllogism is argument whose premises and conclusion are all hypotheticals.
It tells us, as for the analogue in categorical syllogism, that, as H.W.B. Joseph would say, 'whatever falls under the condition of a rule, follows the rule'.
Its valid moods can of course all be reduced directly to the first figure, by transposing or contraposing the premises, but they do not represent a movement of thought of practical value.
www.thelogician.net /2_future_logic/2_chapter_29.htm   (1700 words)

  
 syllogism — FactMonster.com
The categorical syllogism comprises three categorical propositions, which must be statements of the form
Aristotle noted five basic rules governing the validity of categorical syllogisms: The middle term must be distributed at least once (a term is said to be distributed when it refers to all members of the denoted class, as in
Syllogism - Syllogism The five hexameter verses which contain the symbolic names of all the different...
www.factmonster.com /ce6/society/A0847463.html   (436 words)

  
 Wikinfo | Syllogism   (Site not responding. Last check: 2007-10-15)
In traditional logic, a syllogism is an inference in which one proposition (the conclusion) follows of necessity from two others (known as premises).
A Barbara syllogism involves grammar and logical types; it has a subject and a predicate.
Images, some of which are used under the doctrine of Fair use or used with permission, may not be available.
www.wikinfo.org /wiki.php?title=Syllogism   (180 words)

  
 Syllogism [logical analysis philosophy philosophical reasoning software]   (Site not responding. Last check: 2007-10-15)
To use Syllogism, enter a syllogism, one line at a time, and then test conclusions or ask the program to draw a conclusion.
Syllogism will draw a conclusion from such a list, if possible, or test a conclusion of yours.
Syllogism was written by Richard Sharvy in 1987 or so (he died in 1988).
www.efn.org /~bsharvy/rsharvy/syll.html   (382 words)

  
 "Syllogism" Information page   (Site not responding. Last check: 2007-10-15)
Synopsis: A cross between Sartre's No Exit and Genet's The Balcony, the world of Syllogism centers around three troubled souls who are compelled to perpetually revisit the tragic situations and circumstances surrounding their institutionalization.
Arlene is the anal-retentive executive of the den — irascible and given to strike at a moment's notice.
Syllogism was first produced by The Theatre-Studio, Inc., New York City, in May, 2004
www.singlelane.com /proplay/syllogism.html   (252 words)

  
 Definition of Syllogism from dictionary.net
syllogismo`s a reckoning all together, a reasoning, syllogism, fr.
These propositions are denominated respectively the major premise, the minor premise, and the conclusion.
Note: If the premises are not true and the syllogism is regular, the reasoning is valid, and the conclusion, whether true or false, is correctly derived.
www.dictionary.net /syllogism   (160 words)

  
 The Socrates Syllogism: Philosophy Forums   (Site not responding. Last check: 2007-10-15)
We've all come into contact with the syllogism "All men are mortal / Socrates is a man / Therefore, Socrates is mortal".
The question came up in a class discussion on the unconditioned in Kant, and we quickly realised that there was a division in the class, and that nobody is entirely sure.
It seems that the definition of the syllogism depends on your view.
forums.philosophyforums.com /threads/the-socrates-syllogism-22946.html   (433 words)

  
 Disjunctive syllogism - Wikipedia, the free encyclopedia
A disjunctive syllogism, also known as modus tollendo ponens (literally: mode which, by taking away, affirms) is a valid, simple argument form:
The reason this is called "disjunctive syllogism" is that, first, it is a syllogism--a three-step argument--and second, it contains a disjunction, which means simply an "or" statement.
Note that the disjunctive syllogism works whether 'or' is considered 'exclusive' or 'inclusive' disjunction.
en.wikipedia.org /wiki/Disjunctive_syllogism   (346 words)

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