The material conditional (also known as material implication) is a binary operation commonly used in logic. When the conditional symbol → {\displaystyle...

The paradoxes of material implication are a group of true formulae involving material conditionals whose translations into natural language are intuitively...

language. They were first discussed as a problem for the material conditional analysis of conditionals, which treats them all as trivially true. Starting in...

logical connective of modal logic. It is logically equivalent to the material conditional of classical logic, combined with the necessity operator from modal...

consequent Material conditional, in propositional calculus, or logical calculus in mathematics Relevance conditional, in relevance logic Conditional (computer...

identified indicative conditionals with the logical operation known as the material conditional. According to the material conditional analysis, an indicative...

truth value of the consequent. In essence, a conditional statement, that is based on the material conditional, is true when the antecedent ("Tokyo is in...

A conditional sentence is a sentence in a natural language that expresses that one thing is contingent on another, e.g., "If it rains, the picnic will...

connective is biconditional (a statement of material equivalence), and can be likened to the standard material conditional ("only if", equal to "if ... then")...

expressions P, Q have side effects. Also, a conditional, which in some sense corresponds to the material conditional connective, is essentially non-Boolean...

A conditional statement may refer to: A conditional formula in logic and mathematics, which can be interpreted as: Material conditional Strict conditional...

of material implication (a material conditional is equivalent to the disjunction of the negation of its antecedent and its consequence) and material equivalence...

the material conditional, since the natural language conditional is not the material conditional. (See also the paradoxes of the material conditional for...

Varnashrama-dharma (a.k.a. Svadharma) – duties performed according to one's material (conditional) nature and are specific to the individual at that particular time...

classical two-valued logic, modus ponens can be interpreted from the material conditional (implication) operator. The notion of implication as a rigorous mathematical...

others Material conditional (also material implication), a logical connective and binary truth function typically interpreted as "If p, then q" Material implication...

the only case where a logical biconditional is different from a material conditional is the case where the hypothesis (antecedent) is false but the conclusion...

truth-functional interpretation of the material conditional by introducing the additional requirement of relevance: for the conditional to be true, its antecedent...

connective introduced by Alonzo Church a rule in classical logic that the material conditional ¬p → q is equivalent to the disjunction p ∨ q, so that these two...

Horseshoe (⊃, \supset in TeX) is a symbol used to represent: Material conditional in propositional logic Superset in set theory It was used by Whitehead...

In logic, the corresponding conditional of an argument (or derivation) is a material conditional whose antecedent is the conjunction of the argument's...

Material implication may refer to: Material conditional, a logical connective Material implication (rule of inference), a rule of replacement for some...

reject quantum logic as a basis for reasoning, because it lacks a material conditional; a common alternative is the system of linear logic, of which quantum...

decrease. In mathematical logic, a right-facing arrow indicates material conditional, and a left-right (bidirectional) arrow indicates if and only if...

antecedent is false. The ordinary indicative conditional has somewhat more structure than the material conditional. For instance, although the first is the...

operator Mathematical operators and symbols in Unicode Guillemet Material conditional Smith, Charles L. (1964). "On the origin of ">" and "<"". The Mathematics...

in an idiosyncratic two-dimensional notation, based on negation, material conditional and universal quantification. Other connectives and existential quantification...

then p ∨ q is p, otherwise p ∨ q is q. Logical implication and the material conditional are both associated with an operation on two logical values, typically...

In probability theory and statistics, the conditional probability distribution is a probability distribution that describes the probability of an outcome...

which happens when one of the premises has the form of a negative material conditional, as in "If the card does not have an A on the left, then it has a...