Implication is a term with several uses, according to the definitions indicated by the dictionary of the Royal Spanish Academy (RAE). It may be the consequence or sequel of something, of a contradiction between terms or of a moral or legal incompatibility to make a fair decision.
For instance: “It is important to remind children of the implication of a nutritious breakfast in their health and in their daily activities”, “Those who commit crimes should take into account the implications of their criminal actions”, “The proliferation of diseases infectious is an implication of floods “, “It is easy to detect the implications between what was said by the official candidate and the expressions of the main opponent”.
At the judicial level, an implication can be a matter that affects a judge who, in other conditions, would be competent to rule on a matter but who, considering that he has a Current interest in the matter, it makes him lose the impartiality required for his functions.
The verb to imply, from Latin I will imply, can also refer to entangle, wrap, contain or carry itself. That is why it is said that if a person is linked to some matter is involved in the. In this sense, reference can be made to the implication of a men in a robbery, if certain incriminating evidence has been detected: “The prosecutor stated that he is close to proving the implication of the accused in the bank robbery”, “The police suspect that the businessman is involved in a money laundering operation”, “It’s incredible: they arrested me without any proof of my involvement in the crime”.
As with many other terms in our language, the word implication is accepted mainly in some South American countries, such as Argentina, Uruguay and Chile, while in Spain it is used implication, which derives directly from a Latin word. While their meanings are equivalent, have certain differences, such as the Uruguayan and Chilean meaning that refers to a legal or moral incompatibility, indicated in the first paragraph.
Knowing that implication and implication are synonymous terms, it is possible to talk about their role in the logic. The logical calculation ,also called logical derivationIt is a system or algorithm that gives the possibility of deducing or inferring a true statement, starting from one or more that have been validated as true; Two of the ways in which it allows to connect and relate propositions are the true functional conditional and the implication.
It is possible to read the following logical operation A -> B in two ways, depending on whether it is a conditional functional of truth or of an implication: in the first case, its reading would be if A, then B, and this can be exemplified with the proposition “If we are in 2014, then the next will be 2015”; the other possible reading is A implies B, in which two propositions are related, each with a different value, and a possible example is “We are in 2014”, therefore “the next will be 2015”.
Delving further into the differences, conditional reading leads to the proposition has one of two possible values, which are true and false; in its truth value table (used to show the truth values of compound propositions, considering all possible truth combinations), it can be seen that this statement can only be false if TO is true and B, false. For implication, on the other hand, B’s claim depends on the validity of A’s claim: if we lie by saying that “We are in the year 2014”, then any proposition related to it loses validity.