implication

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implication

Logic
a. the operator that forms a sentence from two given sentences and corresponds to the English if … then …
b. a sentence so formed. Usually written p→q or p⊃q, where p,q are the component sentences, it is true except when p (the antecedent) is true and q (the consequent) is false
c. the relation between such sentences
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

implication

[‚im·plə′kā·shən]
(mathematics)
The logical relation between two statements p and q, usually expressed as “if p then q.“
A logic operator having the characteristic that if p and q are statements, the implication of p and q is false if p is true and q is false, and is true otherwise. Also known as conditional implication; if-then operation; material implication.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Similarly for the "understanding" statement, the implicative statement is, if the patient relates the treatments' effects back to the doctor then the patient understands ([E.sub.x][right arrow][U.sub.x]).
Shim, Fuzzy implicative hyper BCK-ideals of hyper BCK-algebras, International Journal of Mathematics and Mathematical Sciences, 29(2) (2002), 63-70.
introduced the notion of fuzzy Boolean ideals in BL-algebra and proved that fuzzy Boolean ideals are equivalent to fuzzy implicative ideals.
More specifically, we introduce the notions of n-fold (implicative, positive implicative, Boolean, fantastic, normal, integral, and involutive) filters and n-fold Boolean filters of the second kind in residuated lattices, notions that naturally generalize the corresponding ones previously studied in BL-algebras.
The perspective presented here intends to more accurately identify some of the less optimal implicative means that might nonetheless be exploited by language-users in the production of novel forms and which are therefore not necessarily captured in previous work.
The deformation of the top section (S1, as in Figure 11(e)) presents the pattern of greatest displacement at the surface dissipating along with the depth, without drastically changing at the sliding zone, which is implicative of a superficial deformation.
Totohasina, "Towards a theory unifying implicative inter-estingess mesures and critial values consideration in MGK," in Educ.
Given that condition, perhaps some statement about the good is also metaphysical, whereby our relation to what is the case metaphysically and our relation to the good are mutually implicative. At the least, an independent argument for the fallacy of metaphysical naturalism would be required.
National identity is implicative of the characteristics that set apart nation's citizenry and binds them to its vision and aspirations.
From the antibiotic group cephalosporins were the primary culprits in 11.1% and ibuprofen was the top implicative NSAID (20.4%).
This study followed the Action Implicative Discourse Analysis (AIDA) method (Tracy, 2002), which is particularly suitable for netnographic studies exploring discourse cultures and proved useful in previous studies of online religious communities (e.g., Neuman & Levi, 2003).
The dialogic conversation between Marco Polo and Kublai Khan at the beginning of Part 2 of the book starts with Marco Polo's implicative theorization of the dismantlement of chronology and ends up with his conclusive establishment of a de-chronologized perpetual present that ubiquitously reigns the postmodern temporal world.