A false dilemma, or false dichotomy, presents only two options as exhaustive, ignoring other possibilities. This logical fallacy can manipulate…
A false dichotomy, or black-or-white fallacy, wrongly limits choices to just two options, ignoring other valid possibilities. It's a common…
A rule of inference in logic that allows the introduction of an existential quantifier (∃). It asserts the existence of…
Ex falso quodlibet, or the principle of explosion, is a logical tenet where any conclusion, true or false, can be…
The law of excluded middle states that for any proposition, it is either true or its negation is true. There…
The domain of discourse is the set of all objects under consideration in a logical system. It defines the scope…
The disjunction introduction rule states that from any single proposition, one can infer a disjunction including that proposition and any…
Deduction is a logical process moving from general premises to a specific, certain conclusion. If premises are true, the conclusion…
Curry's paradox is a logical paradox that emerges from self-referential statements asserting their own unprovability. It challenges the consistency of…
A fundamental principle in mathematics and logic, course of values recursion defines a function by its behavior on smaller arguments.…