In logic, the term conditional disjunction can refer to:
conditioned disjunction, a ternary logical 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 formulae are interchangeable - see Negation
Topics referred to by the same term
This disambiguation page lists articles associated with the title Conditional disjunction. If an internal link led you here, you may wish to change the link to point directly to the intended article.
and 26 Related for: Conditional disjunction information
In logic, the term conditionaldisjunction can refer to: conditioned disjunction, a ternary logical connective introduced by Alonzo Church a rule in classical...
negation and contradiction for more). Neither conjunction, disjunction, nor material conditional has an equivalent form constructed from the other four logical...
computer programming, the ternary conditional operator is a ternary operator that is part of the syntax for basic conditional expressions in several programming...
propositional theorem, but the material conditional is used to define negation.[clarification needed] When disjunction, conjunction and negation are classical...
biconditional, by the rules of material implication (a material conditional is equivalent to the disjunction of the negation of its antecedent and its consequence)...
A conditional proof is a proof that takes the form of asserting a conditional, and proving that the antecedent of the conditional necessarily leads to...
In logic, conditioned disjunction (sometimes called conditionaldisjunction) is a ternary logical connective introduced by Church. Given operands p, q...
dispute. [c] These five indemonstrable arguments are made up of conditional, disjunction, and negation conjunction connectives, and all other arguments...
hypothetical syllogism is a valid argument form, a deductive syllogism with a conditional statement for one or both of its premises. Ancient references point to...
might appear one could make these deductions by contraposition and conditionaldisjunction: ([a] from [ii]) If Yog was white, then 1/2 of the time Yog won...
operations and, or, and not. A conditional event algebra (CEA) contains not just ordinary events but also conditional events, which have the form "if...
addition, and as logically equivalent to the exclusive-or (exclusive disjunction) binary logic operation. In this case it can be used for only very simple...
negation, this section will consider only languages with a conditional, conjunction, and disjunction. An operational frame F {\displaystyle F} is a triple...
(SDA) is the phenomenon whereby a disjunction in the antecedent of a conditional appears to distribute over the conditional as a whole. This inference is...
terms used to describe a conditional or implicational relationship between two statements. For example, in the conditional statement: "If P then Q",...
algebra uses logical operators such as conjunction (and) denoted as ∧, disjunction (or) denoted as ∨, and the negation (not) denoted as ¬. Elementary algebra...
disjunction introduction but keep disjunctive syllogism and transitivity. In this approach, rules of natural deduction hold, except for disjunction introduction...
premise is a conditional ("if-then") claim, such as P implies Q. The second premise is an assertion that Q, the consequent of the conditional claim, is not...
.." entirely (reducing to disjunctions), so no protasis and apodosis exist and no counter-argument is needed. Conditional sentences in English Crocodile...
three-step argument, and the use of a logical disjunction (any "or" statement.) For example, "P or Q" is a disjunction, where P and Q are called the statement's...
premise is a conditional ("if–then") claim, namely that P implies Q. The second premise is an assertion that P, the antecedent of the conditional claim, is...