Add to ORKGSummary. Third of a series of articles laying down the bases for classical first order model theory. Interpretation of a language in a universe set. Evaluation of a term in a universe. Truth evaluation of an atomic formula. Reassigning the value of a symbol in a given interpretation. Syntax and semantics of a non atomic formula are then defined concurrently (this point is explained in [16], 4.2.1). As a consequence, the evaluation of any w.f.f. string and the relation of logical implication are introduced. Depth of a formula. Definition of satisfaction and entailment (aka entailment or logical implication) relations, see [18] III.3.2 and III.4.1 respectively
As simple sentence in formal logic is an atomic predicate, the complex (compound) sentence is a comp...
Introduction. The article continues the series of publications on the linguistics of relations (here...
Abstract. The semantics of everyday language and the semantics of its naive translation into classic...
AbstractConcerning the logical description languages, in the past 40–50 years many authors have intr...
Third of a series of articles laying down the bases for classical first order model theory. Interpre...
Summary. Fourth of a series of articles laying down the bases for classical first order model theory...
Summary. First of a series of articles laying down the bases for classical first order model theory....
In this paper first order logic is used for expressing syntax of formal languages. A model Syn is i...
In this article, logical concepts are defined using the internal syntactic and semantic structure of...
Abstract. We study the history and recent developments in non-elementary classes. We discuss the rol...
First-order formalisations are often preferred to propositional ones because they are thought to und...
A substitutional account of logical validity for formal first‐order languages is developed and defen...
We study formal logic as a mathematical tool for reasoning and as a medium for knowledge representat...
One is often said to be reasoning well when they are reasoning logically. Many attempts to say what ...
The semantics of everyday language and the semanticsof its naive translation into classical first-or...
As simple sentence in formal logic is an atomic predicate, the complex (compound) sentence is a comp...
Introduction. The article continues the series of publications on the linguistics of relations (here...
Abstract. The semantics of everyday language and the semantics of its naive translation into classic...
AbstractConcerning the logical description languages, in the past 40–50 years many authors have intr...
Third of a series of articles laying down the bases for classical first order model theory. Interpre...
Summary. Fourth of a series of articles laying down the bases for classical first order model theory...
Summary. First of a series of articles laying down the bases for classical first order model theory....
In this paper first order logic is used for expressing syntax of formal languages. A model Syn is i...
In this article, logical concepts are defined using the internal syntactic and semantic structure of...
Abstract. We study the history and recent developments in non-elementary classes. We discuss the rol...
First-order formalisations are often preferred to propositional ones because they are thought to und...
A substitutional account of logical validity for formal first‐order languages is developed and defen...
We study formal logic as a mathematical tool for reasoning and as a medium for knowledge representat...
One is often said to be reasoning well when they are reasoning logically. Many attempts to say what ...
The semantics of everyday language and the semanticsof its naive translation into classical first-or...
As simple sentence in formal logic is an atomic predicate, the complex (compound) sentence is a comp...
Introduction. The article continues the series of publications on the linguistics of relations (here...
Abstract. The semantics of everyday language and the semantics of its naive translation into classic...