Semantics is the study of meaning in language. It explores how words, phrases, sentences, and texts convey meaning and the…
Semantic consequence describes the logical relationship between premises and a conclusion in a formal language. It guarantees that no interpretation…
A theory of truth where statements correspond to facts or states of affairs. It highlights the crucial role of meaning…
Satisfaction in model theory describes the relationship between a structure and a sentence, where the structure makes the sentence true…
Model-theoretic validity refers to the truth of a statement within all possible interpretations or models. It's a cornerstone of formal…
Model-theoretic consequence is a fundamental concept in logic, defining logical implication through the interpretation of formulas in models. It ensures…
A model in logic and mathematics interprets the symbols of a formal language, satisfying the axioms and theorems of a…
Interpretation assigns meaning to symbols and expressions in a formal language. It defines how a specific set of terms is…
The intended interpretation defines the standard or conventional meaning of symbols and expressions in a formal language. It's crucial for…
A formula is a true or false expression in a formal language. It uses variables and logical connectives to construct…