necessary

(redirected from necessarily)
Also found in: Dictionary, Thesaurus, Medical, Legal, Financial, Idioms, Wikipedia.

necessary

1. Logic
a. (of a statement, formula, etc.) true under all interpretations or in all possible circumstances
b. (of a proposition) determined to be true by its meaning, so that its denial would be self-contradictory
c. (of a property) essential, so that without it its subject would not be the entity it is
d. (of an inference) always yielding a true conclusion when its premises are true; valid
e. (of a condition) entailed by the truth of some statement or the obtaining of some state of affairs
2. Philosophy (in a nonlogical sense) expressing a law of nature, so that if it is in this sense necessary that all As are B, even although it is not contradictory to conceive of an A which is not B, we are licensed to infer that if something were an A it would have to be B
References in classic literature ?
Different interests necessarily exist in different classes of citizens.
The first direct attempts of the proletariat to attain its own ends, made in times of universal excitement, when feudal society was being overthrown, these attempts necessarily failed, owing to the then undeveloped state of the proletariat, as well as to the absence of the economic conditions for its emancipation, conditions that had yet to be produced, and could be produced by the impending bourgeois epoch alone.
If it were so, the number of sides in a Circle would be a mere question of pedigree and arithmetic, and the four hundred and ninety-seventh descendant of an Equilateral Triangle would necessarily be a Polygon with five hundred sides.
If such an animal is in existence, if it inhabits the depths of the ocean, if it frequents the strata lying miles below the surface of the water, it must necessarily possess an organisation the strength of which would defy all comparison.
Now as tragic imitation implies persons acting, it necessarily follows, in the first place, that Spectacular equipment will be a part of Tragedy.
Therefore, it follows necessarily that, if Pandolfo was not in the first rank, he was in the second, for whenever one has judgment to know good and bad when it is said and done, although he himself may not have the initiative, yet he can recognize the good and the bad in his servant, and the one he can praise and the other correct; thus the servant cannot hope to deceive him, and is kept honest.
If a man states that a wing is necessarily relative to a bird, the connexion between these two will not be reciprocal, for it will not be possible to say that a bird is a bird by reason of its wings.
A little reflection, however, abated our surprise at coming so unexpectedly upon this valley, since the large vales of Happar and Typee, lying upon this side of Nukuheva, and extending a considerable distance from the sea towards the interior, must necessarily terminate somewhere about this point.
But the management of two balloons would, necessarily, be very difficult, in view of the problem how to keep them both at an equal ascensional force.
There was a reason for her excitement, of which he was necessarily ignorant.
Watching the two young people with keen powers of observation, necessarily concentrated on them by the complete seclusion of her life, the invalid lady discovered signs of roused sensibility in Miss Haldane, when Arthur was present, which had never yet shown themselves in her social relations with other admirers eager to pay their addresses to her.
In doing so he necessarily got some on the other hand, and when he had finished washing, both were so white that he went to bed and sent for a physician.