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example, consider the conjunctions. The right rule is virtually identical to the introduction rule The left rule, however, performs some additional substitutions...

Conjunction introduction (often abbreviated simply as conjunction and also called and introduction or adjunction) is a valid rule of inference of propositional...

Disjunction introduction or addition (also called or introduction) is a rule of inference of propositional logic and almost every other deduction system...

Negation introduction is a rule of inference, or transformation rule, in the field of propositional calculus. Negation introduction states that if a given...

In philosophy of logic and logic, a rule of inference, inference rule or transformation rule is a logical form consisting of a function which takes premises...

expressible in propositional logic. This axiom is the introduction rule for negation (see negation introduction) and it is sometimes named to make this connection...

occurrence is both the principal premise of an elimination rule and the conclusion of an introduction rule. Prawitz, Dag (2006-02-24). Natural Deduction: A Proof-Theoretical...

biconditional introduction is a valid rule of inference. It allows for one to infer a biconditional from two conditional statements. The rule makes it possible...

negation." Double negation elimination and double negation introduction are two valid rules of replacement. They are the inferences that, if not not-A...

calculus is characterized by the presence of left introduction rules, right introduction rule and a cut rule that can be eliminated. The structure of sequent...

the statement's disjuncts. The rule makes it possible to eliminate a disjunction from a logical proof. It is the rule that P ∨ Q , ¬ P ∴ Q {\displaystyle...

elimination, or affirming the antecedent, is a deductive argument form and rule of inference. It can be summarized as "P implies Q. P is true. Therefore...

constants behave. They are often divided into introduction rules and elimination rules. Introduction rules specify under which conditions a logical constant...

is a list of rules of inference, logical laws that relate to mathematical formulae. Rules of inference are syntactical transform rules which one can...

The Goldwater rule is Section 7 in the American Psychiatric Association's (APA) Principles of Medical Ethics, which states that psychiatrists have a responsibility...

In logic, a rule of replacement is a transformation rule that may be applied to only a particular segment of an expression. A logical system may be constructed...

(1710–1761). The most basic of these rules, called Simpson's 1/3 rule, or just Simpson's rule, reads ∫ a b f ( x ) d x ≈ b − a 6 [ f ( a ) + 4 f ( a + b 2...

direction of the magnetic field lines and can be found using the right-hand rule. The strength of the force is given by the equation F = q v B sin ⁡ θ {\displaystyle...

and sometimes confused with dictum de omni)[citation needed] is a valid rule of inference from a truth about each member of a class of individuals to...

taking away") and denying the consequent, is a deductive argument form and a rule of inference. Modus tollens is a mixed hypothetical syllogism that takes...