
	Where results make sense

Topic: Syllogistic

Related Topics

Logic

Aristotelian logic

Mathematical logic

Syllogism

Landscape architecture

Categorical syllogism

Simonides of Ceos

Conscription

Emeryville, California

Ellipse

Acid House

Alexander Downer

Homo erectus

Michael I of Russia

Manali

In the News (Sat 19 Dec 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	LC '98 abstract: Vladimir Sotirov
		Syllogistic atoms are formulae of the kind sAp ('Every s is a p') or sIp ('Some s is a p') with s and p being terms.
		In the standard semantics of the Aristotelian syllogistic, if S and P are arbitrary non-empty sets, sAp is translated as 'S is a subset of P', sIp as 'the intersection of S and P is not empty', and the formal propositional connectives are replaced with the informal ones.
		THEOREM 2 (Adequacy of Both Arithmetical Interpretations of the Syllogistic with Term Negation): A syllogism is true iff it is arithmetically true in the Scholastic as well as in the Leibnizian sense.
	www.math.cas.cz /~lc98/abstracts/Sotirov.html (689 words)

	20th WCP: The Modernity of Aristotle’s Logical Investigations
		Aristotle treated syllogistic entities and their relationships just as modern mathematical logicians have treated the relationships among the operators and deduction rules of propositional logic.
		It is still the practice in untold numbers of introductory textbooks on categorical logic to test a syllogism according to rules of quality, quantity and distribution and entirely to overlook the deduction process of chaining syllogisms, not to mention the glaring traditionalist error to take a syllogism to be either a valid or invalid argument.
		(14) The syllogistic process as Aristotle construed it is roughly analogous to adding a series of single digit numbers: two are taken and added, the result is then paired in turn with a third number and added, and so on until a sum is calculated.
	www.bu.edu /wcp/Papers/Logi/LogiBoge.htm (5026 words)

	Syllogistic Reasoning
		Syllogistic reasoning is concerned with using syllogisms to draw conclusions from premises.
		There are a number of other syllogistic fallacies that can trap the unwary logician can fall.
		Syllogistic reasoning uses rational logic and hence set theory applies and the best way to visualize it is to draw a Venn Diagram.
	changingminds.org /disciplines/argument/types_reasoning/syllogistic_reasoning.htm (295 words)

	Medieval Theories of the Syllogism
		Syllogistic sentences are categorical sentences involving a subject and a predicate connected by a copula (verb).
		Traditional syllogistic is direct and hence all syllogisms that do not fall into the patterns of inference defined by the three Aristotelian figures, but which are nevertheless valid syllogisms, must be hypothetical.
		The syllogistic for sentences involving oblique terms is important for Buridan's general theory of consequence, since this is where we find rules governing the behavior of oblique terms in distributive contexts.
	plato.stanford.edu /entries/medieval-syllogism (11683 words)

	20th WCP: Aristotle's Reform of Paideia
		The deceptiveness of syllogistic is insidious, for it is just because the premises do generate a conclusion that one is tempted to believe the argument is a demonstration or plausible dialectical syllogism.
		He warns that the power of syllogistic is limited, that it can be used to argue fallaciously by a merely clever, weak or unscrupulous reasoner.
		In stressing that the syllogistic was not a quick fix for the weaknesses of dialectic Aristotle made another signal contribution to Greek paideia.
	www.bu.edu /wcp/Papers/Anci/AnciBark.htm (2740 words)

	George Englebretsen and Sommers' New Syllogistic
		This system, term logic, is different in a number of ways from the standard system employed in modern logic; most striking is, its greater simplicity and naturalness.
		Based on a radically different theory of logical syntax than the one Frege used when initiating modern mathematical logic in the 19th Century, term logic borrows insights from Aristotle's syllogistic, Scholastic logicians, Leibniz, and the 19th century British algebraists.
		Term logic takes its syntax directly from natural language, construing statements as combinations of pairs of terms, where complex terms are taken to have the same syntax as statements.
	www.formalontology.it /englebretseng.htm (1704 words)

	Sentences in Space
		Bourgeois realism foregrounds the syllogistic leap at the expense of the perception of language as a labor process.
		What happens when a language moves toward and passes into a capitalist stage of development is an anaesthetic transformation of the perceived tangibility of the word, with corresponding increases in its expository, descriptive and narrative capacities, preconditions for the invention of "realism," the illusion of reality in capitalist thought.
		In standard prose sentences are arranged within the paragraph in syllogistic order, one premise contributing logically to the preceding and succeeding ones.
	wings.buffalo.edu /epc/authors/hartley/pubs/sentence.html (2435 words)

	V.Markin. Generalized positive syllogistic
		The paper concerns the problem of the representation of all possible extensional relations between two general terms by means of positive syllogistic — syllogistic without negative terms.
		I introduce new syllogistic constants u and q: the statement of the form SuP means "Everything is either S or P", the statement of the form SqP means "Something is neither S nor P".
		The second system is the generalization of Lukasiewicz' syllogistic which is a formalization of the traditional one.
	www.logic.ru /Engl/depart/Markin4.htm (232 words)

	Link to the On-Line Logic Book
		The most interesting variant of the syllogistic machine is located in the top section.
		The user selects a syllogistic form from pull down menus for the major premise, the minor premise, and the conclusion.
		Beneath the link to the syllogistic machine is a link to exercises which test one's ability to figure out whether a formula is true or false.
	www.sandiego.edu /LogicSlave/online/logbook.html (497 words)

	Abstract - Strategies in Syllogistic Reasoning
		Experiment 4 used the same technique to examine the participants' strategies as they drew their own conclusions from syllogistic premises.
		The results of the experiments showed that logically-untrained individuals can construct counterexamples, that they use similar operations to those implemented in the computer program, but that they rely on a much greater variety of interpretations of premises and of search strategies than the program does.
		The paper re-evaluates current theories of syllogistic reasoning in the light of these results.
	www.cognitivesciencesociety.org /abstract/bucciarelli.html (179 words)

	Conditional and Syllogistic Reasoning
		Cognitive research on deductive reasoning is almost invariably confined to conditional and syllogistic reasoning.
		When we move from conditional reasoning to syllogistic reasoning, the situation is strikingly similar.
		An intelligent tutoring system in this domain must be sensitive to the fact that nearly all humans fail to naturally acquire a formal deductive system in the course of their development.
	www.rpi.edu /~faheyj2/SB/PROPS/SHERLOCK/sherlock/node3.html (924 words)

	Syllogistic Fallacy
		There are several techniques devised to test syllogistic forms for validation, including sets of rules, diagrams, and even mnemonic poems.
		The subfallacies of Syllogistic Fallacy are fallacies of this rule-breaking type.
		The notion of distribution plays a role in some of the syllogistic fallacies: the terms in a categorical proposition are said to be "distributed" or "undistributed" in that proposition, depending upon what type of proposition it is, and whether the term is the subject or predicate term.
	www.fallacyfiles.org /syllfall.html (421 words)

	Letterhead and Business Card Design - Syllogistic Resources Consulting Logo design. August 24, 2003
		The client wanted their new logo design to portray their core values and slogan, with a sense of stability, professionalism and reliability.
		Syllogistic's audience ranges from executives of tech companies to fortune 500 sized financial services so they were after a logo that was both conservative, yet pushing the edge of technology.
		At the end of the day, the logo turned out to be a little more of the 'pushing the edge' variety, so the letterhead and business card design needed to be a little more 'conservative'.
	www.thelogofactory.com /logo_design_daily/logo-design-archives/letterhead_design_240803.html (218 words)

	Logic Hand Out #6
		One form of argument is called a syllogistic argument.
		The validity of a syllogistic argument is determined by using Euler (pronounced “oiler”) circles.
		Euler diagrams are used to determine whether an argument is valid or invalid.
	home.snu.edu /~lturner/MC-MathStr/LogicHandOut06.htm (137 words)

	WEEK 4B
		Remember that syllogistic logic is concerned with analyzing the FORM of what we say and think, not the content.
		There is another way to evaluate syllogistic arguments, slower perhaps, but much more reliable--in fact, it is foolproof, once its rules are mastered.
		The 2-circle diagram of the conclusion shows an x in the overlap of I and F. We also find an x in the overlap of Iand F in the 3-circle diagram from the two premises--it is in the subsection of the IF overlap that is still in R. THEREFORE, the argument is valid.
	condor.depaul.edu /~mlarrabe/logic/wk4b.htm (780 words)

	Syllogistic Fallacies
		A syllogism is an argument that has a major premise, a minor premise and a conclusion, and often appears in the form 'A is B, C is D, therefore E is F'.
		This is a specific form of argument with very specific rules that are easy to break.
		In many ways, syllogistic fallacies are the 'classic' form of fallacy.
	changingminds.org /disciplines/argument/fallacies/a_syllogistic.htm (95 words)

	Fred Sommers and the New Syllogistic
		Today logic students are given at best some bad old arguments against the old logic, and then are simply presented with the new logic to be learned.
		He has challenged the deeply entrenched presumption that no syllogistic logic can measure up to the great power and beauty of the predicate calculus.
		What is more, not only has Sommers shown the emperor to have no clothes, he has produced a fine new suit.
	www.formalontology.it /sommersf.htm (2728 words)

	Four Term Fallacy
		A two premiss argument containing four terms, which results from a validating syllogistic form by substituting two distinct terms for one variable.
		For this reason, the Four Term Fallacy differs from the other Syllogistic Fallacies, each of which involves genuine categorical syllogisms which violate one or more of the rules for syllogisms.
		The Example commits the Four Term Fallacy if the major term of the conclusion is meant in sense 2―namely, that no conservatives are small-d democrats―which is not true.
	www.fallacyfiles.org /fourterm.html (476 words)

	BRILL
		This volume traces the development of Aristotle’s hypothetical syllogistic through antiquity, and shows for the first time how it later became misidentified with the logic of the rival Stoic school.
		By charting the origins of this error, the book illuminates elements of Aristotelian logic that have been obscured for almost two thousand years, and raises important issues concerning the distinctive roles of semantic and syntactic analysis in theories of logical consequence.
		The first chapters of the book deal with the original Aristotelian hypothetical syllogistic, and explain how Aristotle’s later followers began to conflate it with Stoic logic.
	www.brill.nl /product.asp?ID=9538 (332 words)

	[No title]
		In this class, I'm not going into all the details of syllogistic logic, so a book might have more than you need for this course.
		Another goal of logic is to expand the class of arguments for which we have a method for determining deductive validity.
		We will begin our study with syllogistic arguments, but by next week, we will want to find a more general technique for a larger class of arguments.
	www.ags.uci.edu /~gdbell/syllogism.txt (1627 words)

	DOLHENTY ARCHIVE: Figures and Moods of the Syllogism
		The minor term (S) is always the subject and the major term (P) is always the predicate of the conclusion.
		The other three figures, however, are correct forms of syllogistic reasoning, even if they seem to be somewhat stilted and unnatural.
		But half of them are invalid because they violate one or more of the General Rules which govern the syllogism.
	radicalacademy.com /logicfiguresmoods.htm (568 words)

	Syllogistic Terminology
		As a stalking horse, we analyze two arguments and test them for validity by means of Venn Diagrams.
		In order to evaluate this casual argument with charity, we need to be able to translate the argument reliably into standard-form categorical propositions.
		William Meyer's syllogism is invalid. He might have a false premiss as well.
	philosophy.lander.edu /logic/syll_terms.html (1130 words)

	V.A. Bocharov. Definitional equivalence of elementary ontology and syllogistic
		I set out a syllogistic system QC2 that is an extension of C2 by introducing quantifiers.
		The definition of syllogistic constant 'a' in EO is
		Smirnov and others, lead to the conclusion, that Lesniewski's ontology is a modern form of syllogistic.
	www.logic.ru /Engl/depart/Boch1.htm (250 words)

	Background on Syllogistic Thinking and Toulmin
		The problem of truth within the premises is the reason why British philosopher Stephen Toulmin sought to re-frame the way we look at arguments.
		While there some similarities in the syllogistic approach and the Toulmin approach, there are substantial differences as well.
		For one thing, syllogisms seem to emphasize certainty, while Toulmin suggested that arguments are more often about probability and, as such, need to consider a variety of conditions.
	www.umary.edu /faculty/whellman/eng303/HellmanToulmin.htm (1278 words)

	Lukasiewicz \| Aristotle's Syllogistic \| Book #20400 (Site not responding. Last check: 2007-09-29)
		Aristotle's Syllogistic from the Standpoint of Modern Formal Logic
		First published in 1951 and significantly revised in 1957, this is his most important book.
		The first, 'historical' part of the work expounds the Aristotelian doctrines and explains them from the standpoint of modern formal logic; the following 'systematic' section, intended by Lukasiewicz as an introduction to modern formal logic, explains the modern theories necessary for an understanding of Aristotle's syllogistic and includes the proof of decision by Slupecki.
	www.powellschicago.com /html/reprints/20400.html (163 words)

	[No title]
		The overall architecture of the Allen inferences model is similar to that of the Syllogistic Reasoning model, insofar as there are separate processes to Construct Model and Draw Conclusions, and there is a central Controller which schedules the construction and inference processes in the same way as before.
		Another difference from Syllogistic Reasoning is that the model buffer is a one-dimensional Analogue buffer.
		The format in which models are represented is quite different from that used in syllogistic reasoning: whereas syllogistic reasoning uses an array of tokens, the Allen inferences model uses metrical representations of intervals, or "images".
	www.psyc.bbk.ac.uk /people/associates/pgy/notes/reasoning.html (856 words)

	'Syllogistic Reasoning' from 'Deduction' in 'Clear Thinking'
		When an argument is put in the form of a syllogism, or in another recognised structure, it is easy enough to tell whether it is sound or not.
		But unfortunately, we seldom put our arguments in a syllogistic form or in such a way that their essential structure is apparent.
		Similar errors to (e) and (f) are possible in the hypothetical syllogistic forms.
	www.ourcivilisation.com /smartboard/shop/jepsonrw/chap82.htm (2133 words)

	Categorical Syllogism
		Thus, the specific syllogisms that share any one of the 256 distinct syllogistic forms must either all be valid or all be invalid, no matter what their content happens to be.
		Here are the diagrams of several other syllogistic forms.
		In each case, both of the premises have already been drawn in the appropriate way, so if the drawing of the conclusion is already drawn, the syllogism must be valid, and if it is not, the syllogism must be invalid.
	www.philosophypages.com /lg/e08a.htm (1504 words)

	Kelkar's syllogistic error
		If all levels of income are taxed at the highest marginal rate, the concept of progressive tax becomes irrelevant.
		The consequence of Kelkar's syllogistic error has prevented the task force from recommending what might have become the most dynamic corporate tax system in the world.
		Had Kelkar persisted with removing the tax on corporations, he would have immediately eliminated all special incentives given to specific industries.
	www.rediff.com /money/2003/jan/09spec.htm (1103 words)

Try your search on: Qwika (all wikis)