Barcan formula

proper noun

In quantified modal logic, the formula ∀x□Fx→□∀xFx, meaning "if every x is necessarily F, then it is necessary that every x is F".

Meanings

proper nounthe Barcan formula
  1. human sciencesIn quantified modal logic, the formula ∀x□Fx→□∀xFx, meaning "if every x is necessarily F, then it is necessary that every x is F".

Origin

Introduced by the logician Ruth Barcan Marcus.

Full word history & related roots →
Cite this entry
APA

Barcan formula. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Barcan%20formula

MLA

“Barcan formula.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Barcan%20formula. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Barcan formula,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Barcan%20formula.

Source: Barcan formula on Wiktionary, CC BY-SA 4.0.