Sentence examples for valid implication from inspiring English sources
The phrase "valid implication" is correct and usable in written English.
It can be used in contexts related to logic, reasoning, or argumentation where one statement logically follows from another. Example: "In this argument, the conclusion is a valid implication of the premises provided."
Just as deductive logic consists of the study of a certain consequence relation between propositions or sets of propositions (the relation of valid implication), so defeasible (or nonmonotonic) logic consists of the study of a different kind of consequence relation.
If the requirement of a connection between antecedent and succedent of a valid implication is understood as a content connection, and if a content connection obtains if antecedent and succedent are relevant to each other, then "the general classes of connexive and relevant logics are one and the same" (Routley 1978, p. 393), cf. also Serenac and Jennings 2003.
Moreover, McCall points out that CC1 has some properties that are difficult to justify if the name 'connexive logic' is meant to reflect the fact that in a valid implication A→ B there exists some form of connection between the antecedent A and the succedent B. Axiom A4, for example, is bad in this respect.
McCall refers to a result by R. Meyer showing that the valid implications of CFL form a subset of the set of valid material equivalences and briefly discusses giving up the syntactic restriction to first-degree implication.
44 45 To the extent the explanation is valid, an implication of our study is that clinicians need to be aware of, and sensitive to, aspects of 'maleness,' including men's help-seeking behaviours and communication patterns, so as to present information in a way men feel comfortable with.
Rules 3 and 4 show that the following implications among formulas (a)–(f) are valid: The implications holding among the negations of (a)–(f) follow from these by the law of transposition; e.g., since (a) ⊃ (b) is valid, so is ∼(b) ⊃ ∼(a).
However, given that we tend to seek other alternatives (osteotomy or unicompartmental arthroplasty) for patients younger than 55 years, we believe the age criterion used in this study holds valid clinical implications for determining surgical timing in OA patients.
Since most likely 6 the ordering (phases) of the founder alleles is unknown we, in these cases, do not really know which of the following ordered founder-genotypes that is truth-valid: The implication of this is that all inheritance vectors related through transformations between these founder-genotypes are inheritance-wise evidentially equivalent.
And indeed, as Camp (2002, 157) observes, the set of implications valid according to his semantics is exactly the set of implications of the entailment system Efde.
Those discussions have focused on whether the findings are valid, the potential implications, and the best way to move forward.
Motivation for systems of connexive logic not only comes from considerations about a content connection between antecedent and succedent in valid inferences or implications, but also from more instrumental considerations.
