In classical logic, disjunctive syllogism (historically known as modus tollendo ponens (MTP), Latin for "mode that affirms by denying") is a valid argument...

jacket, I will keep dry Therefore if it rains today, I will keep dry Disjunctive syllogism (sometimes abbreviated DS) has one of the same characteristics as...

also be. Disjunctive syllogism Hypothetical syllogism Legal syllogism Polysyllogism Prosleptic syllogism Quasi-syllogism Statistical syllogism Philosophy...

argument form and a rule of inference. Modus tollens is a mixed hypothetical syllogism that takes the form of "If P, then Q. Not Q. Therefore, not P." It is...

example, the constructive dilemma, the destructive dilemma or the disjunctive syllogism. False dilemmas are usually discussed in terms of deductive arguments...

to be true, i.e., unicorns exist (this inference is known as the Disjunctive syllogism). The procedure may be repeated to prove that unicorns do not exist...

approach is to reject disjunctive syllogism. From the perspective of dialetheism, it makes perfect sense that disjunctive syllogism should fail. The idea...

proves the full disjunctive syllogism. Practically, in the intuitionistic context, the principle of explosion enables the disjunctive syllogism: ( ( A ∨ B...

In classical logic, a hypothetical syllogism is a valid argument form, a deductive syllogism with a conditional statement for one or both of its premises...

A statistical syllogism (or proportional syllogism or direct inference) is a non-deductive syllogism. It argues, using inductive reasoning, from a generalization...

for the binary connectives, and the rule reductio ad adbsurdum. Disjunctive Syllogism can be used as an easier alternative to the proper ∨-elimination...

decision.” Syllogism Case-based reasoning Deductive reasoning Type of syllogism (disjunctive, hypothetical, legal, poly-, prosleptic, quasi-, statistical) Gold...

and the second is a categorical. Transitivity of hyponymy Type of syllogism (disjunctive, hypothetical, legal, poly-, prosleptic, quasi-, statistical) Hamby...

for which excluded middle holds can be proven stable using the disjunctive syllogism, which is discussed more thoroughly below. The converse does however...

conditional • (Paradox) Affirming a disjunct Ampheck Controlled NOT gate Disjunctive syllogism Inclusive or Involution List of Boolean algebra topics Logical graph...

{\displaystyle {\underline {\varphi \lor \psi }}} χ {\displaystyle \chi } Disjunctive syllogism φ ∨ ψ {\displaystyle \varphi \lor \psi } ¬ φ _ {\displaystyle {\underline...

things B; therefore, statement A is true of all things B.") Type of syllogism (disjunctive, hypothetical, legal, poly-, prosleptic, quasi-, statistical) "History...

function Boolean-valued function Conjunction/disjunction duality Disjunctive syllogism Disjunction elimination Disjunction introduction First-order logic...

\forall z.P(z)\,\lor \,\exists x.\neg P(x)} With this, using the disjunctive syllogism, ruling out the possibility of counter-examples classically proves...

polysyllogism. Philosophical realism Transitive relation Type of syllogism (disjunctive, hypothetical, legal, poly-, prosleptic, quasi-, statistical) Martin...

{\displaystyle p\vee q} together with ¬ p {\displaystyle \neg p} is a disjunctive syllogism from which we can conclude q {\displaystyle q} . (This is often...

for the binary connectives, and the rule reductio ad adbsurdum. Disjunctive Syllogism can be used as an easier alternative to the proper ∨-elimination...

mathematical theorems rely on classical rules of inference such as disjunctive syllogism and the double negation elimination. The adjective "classical" in...

life. According to Sextus Empiricus, Chrysippus held that dogs use disjunctive syllogism, such as when using scent to pick which path to run down. This was...

include modus tollens (not q; if p then q; therefore not p) and the disjunctive syllogism (p or q; not p; therefore q). The rules governing deductive reasoning...

the methods to eliminate variables between polynomial equations. Disjunctive syllogism, a rule of inference Gaussian elimination, a method of solving systems...

related to predicates (through an axiom of separation). Using the disjunctive syllogism, the statement P {\displaystyle P} ends up equivalent to the extensional...

philosophers, did not obtain an idea of a perfect God or Ideal from the disjunctive syllogism. Kant stated that knowledge of particular things results from a...

which are valid in classical logic: disjunction introduction and disjunctive syllogism. According to the disjunction introduction, any proposition can...

logic proceeds by passing through the classically valid reverse disjunctive syllogism twice: First note that ¬ ¬ P {\displaystyle \neg \neg P} is implied...