- propositional function
- The concept introduced by Frege of a function taking a number of names as arguments, and delivering one proposition as the value. The idea is that ‘
*x*loves*y*’ is a propositional function, which yields the proposition ‘John loves Mary’ for those two arguments (in that order). A propositional function is therefore roughly equivalent to a property or relation. In*Principia Mathematica*, Russell and Whitehead take propositional functions to be the fundamental functions, since the theory of descriptions could be taken as showing that other expressions denoting functions are incomplete symbols.

*Philosophy dictionary.
Academic.
2011.*

### Look at other dictionaries:

**propositional function**— n. Logic an expression containing at least one variable, that becomes a proposition when a constant is substituted for the variable (Ex.: x is a man) … English World dictionary**propositional function**— Logic. See sentential function. [1900 05] * * * Sentencelike expression that may be thought of as obtained from a sentence by substituting variables for constants occurring in the sentence. For example, x was a parent of y may be thought of as… … Universalium**propositional function**— noun 1. : sentential function 2. : something that is designated or expressed by a sentential function * * * Logic. See sentential function. [1900 05] * * * propositional function, 1. a combination of two or more propositions whose truth or… … Useful english dictionary**propositional function**— noun Date: 1903 1. sentential function 2. something that is designated or expressed by a sentential function … New Collegiate Dictionary**propositional function**— proposi′tional func′tion n. pho sentential function • Etymology: 1900–05 … From formal English to slang**propositional function**— noun An expression containing algebraic symbols that serve to represent words or other elements of a sentence or proposition … Wiktionary**Function (mathematics)**— f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a … Wikipedia**propositional**— See proposition. * * * (as used in expressions) propositional attitude propositional calculus propositional function * * * … Universalium**function**— /fungk sheuhn/, n. 1. the kind of action or activity proper to a person, thing, or institution; the purpose for which something is designed or exists; role. 2. any ceremonious public or social gathering or occasion. 3. a factor related to or… … Universalium**Propositional calculus**— In mathematical logic, a propositional calculus or logic (also called sentential calculus or sentential logic) is a formal system in which formulas of a formal language may be interpreted as representing propositions. A system of inference rules… … Wikipedia