implies


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implies

(logic)
(=> or a thin right arrow) A binary Boolean function and logical connective. A => B is true unless A is true and B is false. The truth table is

A B | A => B ----+------- F F | T F T | T T F | F T T | T

It is surprising at first that A => B is always true if A is false, but if X => Y then we would expect that (X & Z) => Y for any Z.
References in classic literature ?
For perception implies a body perceived and a body in which perception takes place.
The letter shall certainly be burnt, if you believe it essential to the preservation of my regard; but, though we have both reason to think my opinions not entirely unalterable, they are not, I hope, quite so easily changed as that implies.
Which implies that we may die of hunger," said Aramis.
The best chess-player in Christendom may be little more than the best player of chess; but proficiency in whist implies capacity for success in all those more important undertakings where mind struggles with mind.
Theoretically, we do what we please so long as we do not interfere with the traffic AND ALL IT IMPLIES.
Therefore the end of instruction should be happiness; and happiness is another name for pleasure;-therefore the end of instruction should be pleasure: yet we see the above-mentioned opinion implies precisely the reverse.
It proves familiarity, and familiarity implies the possession of mementoes, or relics.
Its name implies the former, and the grove of ancient oaks suggests the latter.
To carry the art, however, to its highest pitch, it is necessary that the reasoner should be able to utilise all the facts which have come to his knowledge; and this in itself implies, as you will readily see, a possession of all knowledge, which, even in these days of free education and encyclopaedias, is a somewhat rare accomplishment.
A Gothic statue implies celibacy, just as a Greek statue implies fruition, and perhaps this was what Mr.
Why, you wicked man, a cloister implies a monk, and a monk Roman Catholicism.
It is a death which always implies a little rashness or want of foresight.