necessitythat
Necessitythat is a term occasionally used in philosophy of language and modal logic to denote the attribution of necessity to a proposition expressed in a that-clause. The expression it is necessary that p is typically analyzed through the modal operator □, understood as “in all possible worlds, p holds.” Because necessitythat is not a universally standard label, discussions that use it aim to isolate the modal content of a statement from the content of the that-clause itself.
Semantics and logic: In Kripke-style semantics, □p is true when p is true in every accessible possible
Linguistic usage: Researchers examining necessitythat focus on how language encodes the modal force of a statement
Applications and criticisms: The notion highlights methodological issues such as context-sensitivity, the boundary between logical and
See also: modal logic, necessity, possible world semantics, de dicto and de re readings, epistemic modality.