**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 derivation*It 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.

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