an accusation that brings into intimate and usually incriminating connection a relation implicated by virtue of involvement or close connection (especially an incriminating involvement); "he was suspected of implication in several robberies"
The implications of something are the things that are likely to happen as a result. The Attorney General was aware of the political implications of his decision to prosecute The low level of current investment has serious implications for future economic growth. = consequence
something that is inferred (deduced or entailed or implied); "his resignation had political implications"
a meaning that is not expressly stated but can be inferred; "the significance of his remark became clear only later"; "the expectation was spread both by word and by implication"
{i} act of implying; something implied, indirect suggestion, connotation, hint; state of being involved in an action or event
The implication of a statement, event, or situation is what it implies or suggests is the case. The implication was obvious: vote for us or it will be very embarrassing for you = inference If you say that something is the case by implication, you mean that a statement, event, or situation implies that it is the case. His authority and, by implication, that of his management team is under threat. see also implicate. In logic, a relation that holds between two propositions when they are linked as antecedent and consequent of a true conditional proposition. Logicians distinguish two main types of implication, material and strict. Proposition p materially implies proposition q if and only if the material conditional p q (read "if p then q") is true. A proposition of the form p q is false whenever p is true and q is false; it is true in the other three possible cases (i.e., p true and q true; p false and q true; p false and q false). It follows that whenever p is false, p q is automatically true: this is a peculiarity that makes the material conditional inadequate as an interpretation of the meaning of conditional sentences in ordinary English. On the other hand, proposition p strictly implies proposition q if and only if it is impossible for p to be true without q also being true (i.e., if the conjunction of p and not-q is impossible)
The connective in propositional calculus that, when joining two predicates A and B in that order, has the meaning "if A is true, then B is true"
The process of shaping the fuzzy set in the consequent based on the results of the antecedent in a Mamdani-type FIS
a relation implicated by virtue of involvement or close connection (especially an incriminating involvement); "he was suspected of implication in several robberies"
a logical relation between propositions p and q of the form `if p then q'; if p is true then q cannot be false
A statement of the form, "if A, then B," when A and B stand for wffs or propositions The wff in the if-clause is called the antecedent (also the implicans and protasis) The wff in the then-clause is called the consequent (also the implicate and apodosis) As a truth function, see material implication, below Also called a conditional, or a conditional statement See corresponding conditional