A semantically valid formula, or tautology, is a statement that holds true for every possible interpretation. It's a fundamental concept…
The semantic tableau method is a systematic proof technique in logic. It employs a tree structure to analyze the truth…
Semantic consequence describes the logical relationship between premises and a conclusion in a formal language. It guarantees that no interpretation…
A self-contradictory statement contains internal inconsistencies, making it logically impossible to be true. It violates fundamental principles of logic, leading…
Scope defines the extent of an operator's or quantifier's influence within a logical formula. Understanding scope is crucial for correctly…
Satisfaction in model theory describes the relationship between a structure and a sentence, where the structure makes the sentence true…
A fundamental principle in formal logic that permits substituting logically equivalent expressions within proofs. This ensures the argument's validity is…
A rule of inference is a logical structure that allows deriving a conclusion from a set of premises. It's fundamental…
The Ross Paradox highlights challenges in formalizing moral reasoning. It questions how imperatives, like 'Either do your homework or go…
A predicate P represents a function f if P(x1,...,xn,y) is true iff f(x1,...,xn)=y. A unary predicate P represents set S…