S4 is a modal logic system defined by reflexivity and transitivity axioms for its accessibility relation. This system implies that…
Seriality defines a property of relations, ensuring every element in the domain maps to at least one element in the…
Salve veritate, a Latin phrase meaning "with truth unchanged," signifies substitutions in logic that preserve truth values. It's crucial for…
A rigid designator names the same object across all possible worlds where that object exists. This concept is crucial in…
Relational semantics interprets logical languages using relations between possible worlds or states of affairs. It's a key tool for understanding…
Referential opacity describes expressions where replacing a co-referential term might alter the truth value. This phenomenon is common in intensional…
Quantified modal logic extends standard modal logic with quantifiers like 'all' and 'some.' It enables reasoning about necessity and possibility…
Provability logic, a subset of modal logic, explores the formal properties of provability. It uses modal operators to express concepts…
The prelinearity axiom, represented by the formula (P → Q) ∨ (Q → P), is a fundamental principle in logic.…
A hypothetical total way things might have been or could be. Used in modal logic to analyze concepts like possibility,…