Sentence examples for predicate calculus from inspiring English sources
noun
The branch of logic that deals with quantified statements such as "there exists an x such that..." or "for any x, it is the case that...", where x is a member of the domain of discourse.
Moschovakis (1994) introduces a very simple, direct mechanism which he calls the Lower Predicate Calculus with Reflection, where reflection essentially means self-reference.
The difference between Frege's understanding of predication and the one manifested by the modern predicate calculus is simply this: in the modern predicate calculus, relations are taken as basic, and functions are defined as a special case of relation, namely, those relations R such that for any objects x, y, and z, if Rxy and Rxz, then y=z.
Of obvious interest is tensed predicate logic, where the tense operators are added to classical First-order Predicate Calculus.
In the modern predicate calculus, functional application is analyzable in terms of predication, as we shall soon see.
See also predicate calculus; thought, laws of.
A Proof-checker for Predicate Calculus.
Predicate calculus with "undefined" as a truth-value.
In the article that kicked off the analog/propositional debate (Pylyshyn, 1973) the expression "propositional representation" was restricted to computational representational schemes based on predicate calculus notation.
(Godel had proved the completeness of first-order predicate calculus, thus providing a purely formal criterion for what followed from what in that language.
In this subsection, we shall examine the most basic elements of Frege's 1893/1903 term logic and predicate calculus.
Such systems did exist for example, the first-order predicate calculus but none had been found capable of allowing mathematicians to do interesting mathematics.
