TERMIUM Plus®

The Government of Canada’s terminology and linguistic data bank.

OPEN PROPOSITIONAL FUNCTION [1 record]

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Record 1 1984-12-06

English

Subject field(s)
  • Algebra
CONT

numerical sentence. A statement about numbers. E.g., 2+3=5 is a true numerical sentence and 2+5=3 is a false numerical sentence. An open numerical sentence is an expression which becomes a numerical sentence when values are given to certain variables. E.g., 2x+3y=7 is an open numerical sentence. An open numerical sentence is a special type of propositional function.

OBS

Some mathematical sentences may be written entirely with numbers. For example, 4+3=7 .... Such equations and inequalities may be classified as either true or false. ... Mathematical sentences that are written using variables are known as open sentences. For example, x+7=13 .... Open sentences are not classified as true or false, since they may be true when the variable is replaced by some numbers and false for other replacements.

Key term(s)
  • open mathematical sentence
  • open propositional function
  • open statement
  • open sentence
  • open proposition

French

Domaine(s)
  • Algèbre
OBS

Terme proposé par la section de traduction économique de la Division de Montréal.

OBS

proposition : Log. et Math. Énoncé d'un état de fait [...] une proposition logique ne peut être que vraie ou fausse.

OBS

Log. Formule ouverte (du calcul des prédicats), formule qui comporte des variables libres.

Key term(s)
  • proposition ouverte
  • énoncé ouvert

Spanish

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