Sentence examples for predicate language from inspiring English sources

Another interesting, but neglected, story is that a founder of modern symbolic logic, Charles Peirce, not only revised Venn diagrams but also invented a graphical system, Existential Graphs, which has been proven to be equivalent to a predicate language (Peirce 1933; Roberts 1973; Zeman 1964).

§§1 and 2. Infinitary propositional and predicate languages seem to have made their first explicit appearance in print with the papers of Scott and Tarski [1958] and Tarski [1958].

Quine intended the predicate functor language to lead to a novel algebraization of first-order logic; while bound variables can be eliminated, Quine never defined an algebra in the usual sense — something similar, for instance, to cylindric algebras.

He noticed that certain predicates in language are logically incomplete — they are not used in simple subject/predicate sentences of the form 'a is F' but rather require some type of completion.

Atomic predicates are the predicates of a first-order language, whereas complex predicates are obtained by applying a predicate functor (of appropriate arity) to predicates (which may be atomic or complex).

Instead, Tarski proposed that the truth predicate for a language is to be found only in an expanded metalanguage.

They are conjunctions of complete descriptions of each individual, each description itself a conjunction containing exactly one occurrence (negated or unnegated) of each predicate of the language.

As a result, the uniformity of the semantics comes with the cost of the introduction of a special predicate into the language to mark ontological commitment for formalization.

Tarski's idea was that such a theory would define a truth predicate ('T') for the language; Davidson, by contrast, thought that we find in Tarskian truth theories "the sophisticated and powerful foundation of a competent theory of meaning" (Davidson 1967).

Therefore typed theories of truth (axiomatic as well as semantic theories) have been thought to be inadequate for analysing the truth predicate of natural language, although recently hierarchical theories have been advocated by Glanzberg (forthcoming) and others.

In particular, each monadic predicate of the language of the theory has been assigned a class as its interpretation; each n-ary predicate has been assigned a class of n-tuples; the quantifiers are interpreted objectually by way of assignments to the variables.