Connective

From Glottopedia
Revision as of 13:02, 14 May 2008 by Luo (talk | contribs) (from Utrecht Lexicon of Linguistics)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

In semantics, connective is a logical operator which combines with one or more formulas to form a more complex formula.

Examples

Binary connectives, like &, v, -> and <->, combine with two formulas as in (i), the unary connective Neg combines with one formula as in (ii).

(i)

    Phi  &  Psi		(and)
    Phi  v  Psi		(or)
    Phi  -> Psi	(if ... then ...)
    Phi <-> Psi	(... if and only if ...)

(ii)

    Neg Phi		(not)

Comment

The truth-value of the complex formula is always a function (a truth-function) of the truth-values of the formulas Phi and Psi, which can be represented in a truth table.

Link

Utrecht Lexicon of Linguistics

Reference

Gamut, L.T.F. 1991. Logic, language, and meaning. Chicago: University of Chicago Press.