In classical logic, disjunctive syllogism (historically known as modus tollendo ponens (MTP), Latin for "mode that affirms by denying") is a valid argument...
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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...
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also be. Disjunctive syllogism Hypothetical syllogism Legal syllogism Polysyllogism Prosleptic syllogism Quasi-syllogism Statistical syllogism Philosophy...
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Modus tollens (section Via disjunctive syllogism)
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...
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example, the constructive dilemma, the destructive dilemma or the disjunctive syllogism. False dilemmas are usually discussed in terms of deductive arguments...
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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...
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approach is to reject disjunctive syllogism. From the perspective of dialetheism, it makes perfect sense that disjunctive syllogism should fail. The idea...
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Minimal logic (section Disjunctive syllogism)
proves the full disjunctive syllogism. Practically, in the intuitionistic context, the principle of explosion enables the disjunctive syllogism: ( ( A ∨ B...
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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...
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A statistical syllogism (or proportional syllogism or direct inference) is a non-deductive syllogism. It argues, using inductive reasoning, from a generalization...
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for the binary connectives, and the rule reductio ad adbsurdum. Disjunctive Syllogism can be used as an easier alternative to the proper ∨-elimination...
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decision.” Syllogism Case-based reasoning Deductive reasoning Type of syllogism (disjunctive, hypothetical, legal, poly-, prosleptic, quasi-, statistical) Gold...
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and the second is a categorical. Transitivity of hyponymy Type of syllogism (disjunctive, hypothetical, legal, poly-, prosleptic, quasi-, statistical) Hamby...
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for which excluded middle holds can be proven stable using the disjunctive syllogism, which is discussed more thoroughly below. The converse does however...
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conditional • (Paradox) Affirming a disjunct Ampheck Controlled NOT gate Disjunctive syllogism Inclusive or Involution List of Boolean algebra topics Logical graph...
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{\displaystyle {\underline {\varphi \lor \psi }}} χ {\displaystyle \chi } Disjunctive syllogism φ ∨ ψ {\displaystyle \varphi \lor \psi } ¬ φ _ {\displaystyle {\underline...
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things B; therefore, statement A is true of all things B.") Type of syllogism (disjunctive, hypothetical, legal, poly-, prosleptic, quasi-, statistical) "History...
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function Boolean-valued function Conjunction/disjunction duality Disjunctive syllogism Disjunction elimination Disjunction introduction First-order logic...
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Epsilon-induction (section Disjunctive form)
\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...
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Polysyllogism (redirect from Multi-premise syllogism)
polysyllogism. Philosophical realism Transitive relation Type of syllogism (disjunctive, hypothetical, legal, poly-, prosleptic, quasi-, statistical) Martin...
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{\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...
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for the binary connectives, and the rule reductio ad adbsurdum. Disjunctive Syllogism can be used as an easier alternative to the proper ∨-elimination...
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mathematical theorems rely on classical rules of inference such as disjunctive syllogism and the double negation elimination. The adjective "classical" in...
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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...
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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...
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the methods to eliminate variables between polynomial equations. Disjunctive syllogism, a rule of inference Gaussian elimination, a method of solving systems...
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related to predicates (through an axiom of separation). Using the disjunctive syllogism, the statement P {\displaystyle P} ends up equivalent to the extensional...
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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...
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which are valid in classical logic: disjunction introduction and disjunctive syllogism. According to the disjunction introduction, any proposition can...
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logic proceeds by passing through the classically valid reverse disjunctive syllogism twice: First note that ¬ ¬ P {\displaystyle \neg \neg P} is implied...
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