Other articles where First-order language is discussed: metalogic: Background and typical problems: A first-order language is given by a collection S of symbols ...
The predicate "is a philosopher" occurs in both sentences, which have a common structure of "a is a philosopher".
From: first-order language in The Oxford Dictionary of Philosophy ».
1. First-order languages and structures. Mathematical model theory carries a heavy load of notation, ...
A language is higher-order if it is at least second-order. Second-order languages enjoy a greater expressive power than first-order languages. For example, a ...
It may be called the first-order language with identity on \(K\). A similar language that lacks the symbol for identity (or which takes identity to be ...
An emerging consensus in philosophy of language and logic rejects the ...
Second-order logic has a subtle role in the philosophy of mathematics. It is stronger than first order logic in that it incorporates “for all properties” into the syntax,
This is an introduction to extensions of first-order logic, based on the principle that many-sorted logic (MSL) provides a unifying framework in which to place, ...
Frege's Philosophy of Language