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Topic: Implication

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PlanetMath: implication This is version 4 of implication, born on 2001-10-24, modified 2004-04-23. An implication is a logical construction that essentially tells us if one condition is true, then another condition must be also true. Implication is often confused for ``if and only if'', or the biconditional truth function ( planetmath.org /encyclopedia/Implication.html   (112 words)

Implication (pragmatics) - Wikipedia, the free encyclopedia In pragmatics (linguistics), implication (or implicature) is the relationship between two statements where the truth of one suggests the truth of the other, but--distinguishing implication from entailment--does not require it. Similarly, unlike implications, entailments cannot be cancelled; there is no qualification that one could add to "The president was assassinated" which would cause it to cease entailing "The president is dead" while also preserving the meaning of the first sentence. The more specialized term implicature was coined by Paul Grice as a technical term in pragmatics without the additional meanings in logic and informal language use of implication. en.wikipedia.org /wiki/Implication_(pragmatics)   (271 words)

Online Etymology Dictionary Implicate in the sense of "involve a person in a crime, charge, etc." is from 1797. www.etymonline.com /index.php?term=implication   (31 words)

implication In logic, an implication is a kind of conditional. In pragmatics (linguistics), implication has a different meaning. In medical diagnosis and in forensics or scientific investigation of a condition, a hypothetical cause is implicated when a reason for the condition can be found, given that cause. www.yourencyclopedia.net /Implication.html   (152 words)

Falsity implies anything Implications A => B appear as a major premise of the modus ponens. For this reason only the implication is true even though its conclusion B ("I have not written it") is false. This is a definition and the only criteria to establishment of the falsity or veracity of a particular implication however paradoxical it may sound. www.cut-the-knot.com /do_you_know/falsity.shtml   (781 words)

Implication - Wikipedia, the free encyclopedia Semantic and logical implications between two sets of statements: see entailment Material implications as a binary operator: see logical conditional In addition, in medical diagnosis, forensics or scientific investigation, a hypothetical cause is implicated when a reason for the condition can be found, given that cause. en.wikipedia.org /wiki/Implication   (111 words)

IMPLICATION - Definition Whatever things, therefore, it was asserted that the king might do, it was a necessary implication that there were other things which he could not do. [n] a relation implicated by virtue of involvement or close connection (especially an incriminating involvement); "he was suspected of implication in several robberies" [n] something that is inferred (deduced or entailed or implied); "his resignation had political implications" www.hyperdictionary.com /dictionary/implication   (199 words)

Encyclopedia: Strict implication To avoid the paradoxes of strict implication, some logician's have created counterfactual conditionals. Such a conditional would, for example, avoid the paradoxes of material implication. Grice, have used conversational implicature to argue that, despite apparent difficulties, the material conditional is just fine as a translation for the natural language 'if...then...' Others still have turned to relevant logic to supply a connection between the antecedent and consequent of provable conditionals. www.nationmaster.com /encyclopedia/Strict-implication   (480 words)

implication - OneLook Dictionary Search Phrases that include implication: logical implication, material implication, easement by implication, paradoxes of material implication, two-way implication, more... Words similar to implication: deduction, entailment, implicating, implicative, implicatively, implicativeness, import, significance, conditional relation, logical implication, more... Implication (Impl.), implication : Dictionary of Philosophical Terms and Names [home, info] www.onelook.com /cgi-bin/cgiwrap/bware/dofind.cgi?word=implication   (362 words)

Implication -- Facts, Info, and Encyclopedia article In (The branch of philosophy that analyzes inference) logic, material implication is a binary operator. Also in (The branch of philosophy that analyzes inference) logic, semantic implication and logical implication describe possible relationships between two sets of statements. In (The study of language use) pragmatics ((The scientific study of language) linguistics), (An accusation that brings into intimate and usually incriminating connection) implication has a different meaning. www.absoluteastronomy.com /encyclopedia/i/im/implication.htm   (126 words)

implication --  Britannica Concise Encyclopedia - The online encyclopedia you can trust! The biological implications of the element and its simple compounds have been discussed earlier; the most significant implications are associated with organic compounds, which are discussed in such articles as chemical compound. This conception of implication is based upon the meanings of the propositions, not merely upon their truth or falsity. In an attempt to construct a formal relationship more closely akin to the intuitive notion of implication, Clarence Irving Lewis, known for his conceptual pragmatism, introduced in 1932 the notion of strict implication. www.britannica.com /ebc/article-9042218   (1003 words)

Occam's Razor - Wikipedia, the free encyclopedia Furthermore, each theory has profoundly different implications for what we should expect of the future (for example, we may choose to live our lives differently if we know that life as we know it will cease in the year 2055). With such a metaphysical justification came the implication that Occam's Razor is a metaphysics principle. Ockham's Razor, an essay at The Galilean Library on the historical and philosophical implications by Paul Newall. en.wikipedia.org /wiki/Occam%27s_Razor   (4126 words)

QUANTUM LOGIC WITH IMPLICATION These last-named connectives correspond respectively to the meet, join, and complementation of a lattice-theoretical presentation, and so the object in the lattice-theoretical presentation corresponding to implication should be the same sort of object as are meet and join, that is, it should form elements from elements of the lattice. This will not do, for implication is a propositional connective and so is the same kind of linguistic object as are other propositional connectives, such as conjunction, disjunction, negation. Jauch recognized this, but unfortunately identified what he calls 'implication' with the partial-ordering relation in the lattice-theoretical presentation of his logic. www.clas.ufl.edu /users/jzeman/quantumlogic/quantum_logic_with_implication.htm   (1715 words)

Steve Andreas Article: Nonverbal (Contextual) Implication Contextual implication will actually be a factor in every moment of therapy; since the therapist's office, clothing, and especially nonverbal behavior--speech, pauses, tonal patterns, posture, gestures, etc.--all provide a context for the meaning of what the therapist says. In a previous article, I described verbal implication as follows: a statement is made that is the opposite of the desired outcome. These different aspects of nonverbal implication, or what might better be called contextual implication, have been presented separately for clarity of understanding, but of course they can be used together. www.steveandreas.com /nonverbalimplication.html   (968 words)

Ask the Attorney - Libel by implication Libel by implication allows a libel cause of action based on the entire effect, on a reasonable person, of a publication. We believed, and had advised our clients earlier, that Texas, despite some previous old cases, had turned its back on libel by implication because that principle turned the court and juries into editors who could second-guess how the story was presented and find a libel claim even if all the facts presented were literally true. This courtâs decision was a very disturbing retreat from what we thought was Texas law concerning libel by implication. www.texaspress.com /AskAttorney/attorney0201.html   (432 words)

Philosophical Dictionary: I proposition-Implication A material implication is a compound statement that is true except when its first component statement (the antecedent is true and its second (the consequent) is false. A strict implication (or entailment) is a tautologous statement of the same form. The truth-table analysis of this equivalence amounts to a definition of material implication in terms of negation and disjunction. www.philosophypages.com /dy/i.htm   (1159 words)

Peter Suber, "Paradoxes of Material Implication" Material implication is just one of many sorts of implication, and for that reason does not conform exactly to the English "if...then" or "implies". We have abandoned the requirement of ordinary implication that antecedent and consequent be mutually relevant or somehow connected. More precisely, the validity of valid arguments in which implications occur is not lost in the translation. www.earlham.edu /~peters/courses/log/mat-imp.htm   (1192 words)

Truth value of implication PQ If P is false, the whole implication is true regardless of the value of Q. So, if P is false we have nothing to prove. On the other hand if P is true, than the whole implication may turn to false if Q is false. Q. The implication becomes a theorem if we can prove it. longwood.cs.ucf.edu /courses/cot3100.spr2000/honor/lect2.html   (1094 words)

The Implication of Probabilistic Conditional Independence and Embedded Multivalued Dependency (ResearchIndex) The present study indicates that the implication problems coincide on solvable classes of dependencies and differ on unsolvable classes. Abstract: It has been suggested that Bayesian networks and relational databases are different because the implication problems for probabilistic conditional independence and embedded multivalued dependency do not always coincide. 16 the implication problem for probabilistic conditional indepe.. citeseer.ist.psu.edu /527424.html   (356 words)

Material Implication Material implication doesn’t give us the whole story about what we normally call implication, but it gives the common core that has to be present in any more developed account. The first is that material implication – as you and many others have noted elsewhere – isn’t the same as what people are talking about in ordinary speech when they say that one thing is implied by another. The second point is that no one is going to be misled by material implications such as the one from Castro’s being a dictator to the color of your pants. personal.bgsu.edu /~roberth/m-imp.html   (973 words)

Logic: Old Language: Two way implication, biconditional, if and only if In this form, the two-way rule is seen to be the same as two one-way implication rules, each going in the opposite direction. One-way and two-way implications are called conditional and biconditional statements (or rules), respectively. No matter what term or phrase is used to indicate a two-way implication, the difference between one-way and two-way needs to be remembered. whyslopes.com /etc/ThreeSkillsForAlgebra/ch06.html   (859 words)

Peter Suber, "Glossary of First-Order Logic" Two consequences of the formal definition of material implication that violate informal intuitions about implication: (1) that a material implication is true whenever its antecedent is false, and (2) that a material implication is true whenever its consequent is true. This truth function is rarely what implication or "if...then" means in English, but it captures the logical core of that usage and is truth-functional. In propositional logic, an interpretation is just such a function; in predicate logic, it is some set (the domain) together with such a function defined for members of that domain. www.earlham.edu /~peters/courses/logsys/glossary.htm   (9715 words)

MSN Encarta - Dictionary - implication It is important to consider the wider implications of making such a decision. encarta.msn.com /encnet/features/dictionary/DictionaryResults.aspx?refid=1861620415   (109 words)

Weak Implication: Theory and Applications -- from Mathematica Information Center The notion of weak implication was introduced for the sake of a formal specification of a symbolic constraint solving system. We study a generalization of the classical notion of implication, called weak implication. Other practical applications of can be found in the realm of relational database theory: query normalization and integrity constraints in the context of views. library.wolfram.com /infocenter/Articles/2965   (92 words)

An Implication The word IMPLICATION simply refers to the form of a statement: anything in the form "statement, arrow, statement" is an implication. As it turns out, in your example the left-hand statement has exactly the same truth value as the right-hand statement (no matter what meaning you attach to p and to q), so your implication happens to be a theorem. For the purposes of logic, neither the left-hand statement nor the right-hand statement has to have any meaning, nor do they have to fit together in any way that makes any sense. mathcentral.uregina.ca /QQ/database/QQ.09.98/evans1.html   (183 words)

Implication Structures An implication structure is given when a choice of a subset has to be made from a set of items where an item chosen may imply/forbid some others to be chosen. When studying the implication structure mentioned from the relation-algebraic side, this may result in theoretically sound heuristical approaches. In the course of these investigations, the timetable problem is introduced on a componentfree relational level by reworking the papers mentioned before, thus providing an important example of an implication structure. homepage.mac.com /titurel/Papers/ImplStructHomePage.html   (148 words)

logical implication - a Whatis.com definition Logical implication is a type of relationship between two statements or sentences. As an example of logical implication, suppose the sentences A and B are assigned as follows: However, the sense of logical implication is reversed if both statements are negated. whatis.techtarget.com /definition/0,,sid9_gci833443,00.html   (190 words)

Benito mussolini implication, benito mussolini - The Mystery of Fascism by David Ramsay Steele An elementary implication of this position is that leftist-initiated strikes and violent A Biography of Benito Mussolini (New York: Viking, 1971); of his particular way of life were his (and, by implication, your) enemies. Benito mussolini implication, benito mussolini - The Mystery of Fascism by David Ramsay Steele benito-mussolini.onlineinfosource.com /?q=benito-mussolini-implication   (181 words)

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