"S&W choose to call entailment the semantical consequence relation generated
by a matrix. They are not the only ones to do so, but this option is
especially confusing in a book connected to the work of Anderson and Belnap,
who have written a book called Entailment with subtitle The logic of
relevance
and necessity (cf. see [2] and also [17]) strongly linking “entailment” to
a special
kind of consequence relation, different from the the general one. It is
well-known
that the general definition presented by S&W as “entailment” is due to
Alfred
Tarski and that he uses the word “consequence” for it, and later on
developing
model theory he uses the symbol “|=” for it, which in latex is in fact
called
“models”. (a good name encompassing its double use in model theory, as a
relation between models and formulas and as a consequence relation between
theories and formulas generated by the first use)."

Review on Truth and Falsehood
- An Inquiry into Generalized Logical Valuesby Yaroslav Shramko and
Heinrich Wansing
a aparecer em Studia Logica


A razao por a qual os relevantistos gostam de usar  a palavra entailement e
ligada ao sentindo desta palavra em ingles (que vem do frances)
e que muito difficil traduzir em portugues

Entail (v.)
mid-14c., "convert (an estate) into 'fee tail' (feudum talliatum)," from
en- (1) "make" + taile "legal limitation," especially of inheritance,
ruling who succeeds in ownership and preventing it from being sold off,
from Anglo-French taile, Old French taillie, past participle of taillier
"allot, cut to shape," from Late Latin taliare. Sense of "have
consequences" is 1829, from notion of "inseparable connection."

Jean-Yves
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