A hypothetical syllogism is a logical argument with two conditional statements and a conclusion. It establishes a relationship between the…
A formula is a true or false expression in a formal language. It uses variables and logical connectives to construct…
Formal logic is the study of inference based solely on logical form, disregarding the interpretation of terms. It focuses on…
Exportation is a logical principle that rewrites (P AND Q) -> R as P -> (Q -> R). It effectively…
The law of excluded middle states that for any proposition, it is either true or its negation is true. There…
The principle of double negation introduction states that for any proposition P, P implies the double negation of P (¬¬P).…
Double negation elimination is a core principle in classical logic. It states that a statement preceded by two negations is…
The dominant connective in a logical formula is the one with the largest scope. Understanding this concept is crucial for…
The disjunction introduction rule states that from any single proposition, one can infer a disjunction including that proposition and any…
Disjunction, symbolized as 'or', is a fundamental logical connective. It asserts that at least one of the connected statements is…