Absorption / modus tollens / modus ponendo tollens
Negation introduction
Rules of replacement
Associativity
Commutativity
Distributivity
Double negation
De Morgan's laws
Transposition
Material implication
Exportation
Tautology
Predicate logic
Rules of inference
Universal generalization / instantiation
Existential generalization / instantiation
Constructive dilemma[1][2][3] is a valid rule of inference of propositional logic. It is the inference that, if P implies Q and R implies S and either P or R is true, then either Q or S has to be true. In sum, if two conditionals are true and at least one of their antecedents is, then at least one of their consequents must be too. Constructive dilemma is the disjunctive version of modus ponens, whereas,
destructive dilemma is the disjunctive version of modus tollens. The constructive dilemma rule can be stated:
where the rule is that whenever instances of "", "", and "" appear on lines of a proof, "" can be placed on a subsequent line.
^Hurley, Patrick. A Concise Introduction to Logic With Ilrn Printed Access Card. Wadsworth Pub Co, 2008. Page 361
^Moore and Parker
^Copi and Cohen
and 25 Related for: Constructive dilemma information
Constructivedilemma is a valid rule of inference of propositional logic. It is the inference that, if P implies Q and R implies S and either P or R is...
associated with false dilemmas, for example, the constructivedilemma, the destructive dilemma or the disjunctive syllogism. False dilemmas are usually discussed...
to one. Another valid form of argument is known as constructivedilemma or sometimes just 'dilemma'. It does not leave the user with one statement alone...
the constructivedilemma and destructive dilemma. Such arguments can be refuted by showing that the disjunctive premise — the "horns of the dilemma" —...
invalid forms: affirming the consequent and denying the antecedent. Constructivedilemma is the disjunctive version of modus ponens. The history of modus...
Destructive dilemma is the disjunctive version of modus tollens. The disjunctive version of modus ponens is the constructivedilemma. The destructive dilemma rule...
to take any kind of action. Its basic form is that of a complex constructivedilemma. The general idea behind the lazy argument can already be found in...
q)\land \neg p)\models q} Either p or q, or both; not p; therefore, q ConstructiveDilemma ( ( p → q ) ∧ ( r → s ) ∧ ( p ∨ r ) ) ⊨ ( q ∨ s ) {\displaystyle...
Constructive ambiguity is a term generally credited to Henry Kissinger, said to be the foremost exponent of the negotiating tactic it designates. It refers...
function that always returns the same value, regardless of the input. constructivedilemma A form of argument where, given two conditional statements and evidence...
Constructive engagement was the name given to the conciliatory foreign policy of the Reagan administration towards the apartheid regime in South Africa...
form a Boolean algebra, in intuitionistic logic, and more generally, constructive mathematics, the truth values form a Heyting algebra. Such truth values...
¬ A {\displaystyle \neg \neg \neg A\vdash \neg A} . Because of their constructive character, a statement such as It's not the case that it's not raining...
of it as "reproductive" as opposed to "productive" or "constructive" imagination. Constructive imagination is further divided into voluntary imagination...
one can take measures to remove an object of fear, for angst no such "constructive" measures are possible. The use of the word "nothing" in this context...
above proof is an example of a non-constructive proof disallowed by intuitionists: The proof is non-constructive because it doesn't give specific numbers...
approach where mathematics is considered to be purely the result of the constructive mental activity of humans rather than the discovery of fundamental principles...
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