for all

prepositional phrase

In spite of, despite.

“For all x in A, x² is even.”

Similar
for anygiven anygiven an arbitrary

Meanings

prepositional phrase
  1. In spite of, despite.

    For all his protests, he was forced to have a bath.

    3 more examples

    For all that she was of exceptional intellectual enterprise, she had never yet considered these things with unaverted eyes.

    1909, H. G. Wells, Ann Veronica

    Maguire made an horrendous meal of the most basic piece of work to make it a treble helping of dreadful defending by England and for all the flair and fantasy of their attacking play there is no hiding away from the fact this is a serious weakness.

    2019 September 10, Phil McNulty, “'England horribly fallible in defence' against Kosovo in Euro 2020 qualifying”, in BBC Sport

    Collins' death can be put down to his devil-may-care attitude—his decision to journey through hostile territory in a large convoy, the inadequate choice of the members of the convoy, and the tactics he adopted in the ambush. For all the debate about ballistics and entry and exit wounds, and the use of powerful historical imaginations, it matters more that Collins was killed than how he was killed. Concentration on the events at Béal na mBláth has, moreover, often meant a failure to place them in the overall context of the war.

    1988, Michael Hopkinson, Green Against Green: The Irish Civil War
  2. literallymathematicsApplying to every element of a set; the universal quantifier ∀.

    For all x in A, x² is even.

    Synonyms: for any, given any, given an arbitrary

Synonyms & antonyms

prepositional phraseApplying to every element of a set; the universal quantifier ∀.

Similar
for anygiven anygiven an arbitrary
Cite this entry
APA

for all. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/for%20all

MLA

“for all.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/for%20all. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “for all,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/for%20all.

Source: for all on Wiktionary, CC BY-SA 4.0.