Disjunction

Constructive disjunction The Curry–Howard correspondence relates a constructivist form of disjunction to tagged union types.

Inclusive and exclusive disjunction Please observe that the disjunctive syllogism works whether 'or' is considered 'exclusive' or 'inclusive' disjunction.

Thus, in the cases listed above, the disjunction of P and Q is true in all cases except 4. Using the example above, the disjunction expresses that it is either raining outside or there is a cold front over Kansas.

Released in theaters on March 31, the tabletop role-playing game adaptation follows a mismatched band of adventures on a quest to retrieve a magic relic, The Helm of Disjunction, in the Forgotten Realms campaign setting.

At the centre of this issue is a disjunction between the government – and the Northern League in particular – and the realities of local politics.

An operand of a disjunction is called a disjunct.

Bitwise operation Disjunction is often used for bitwise operations.

Both conjunction and disjunction are associative, commutative and idempotent in classical logic, most varieties of many-valued logic and intuitionistic logic.

Disjunction introduction is controversial in paraconsistent logic because in combination with other rules of logic, it leads to explosion (i.e. everything becomes provable).

For example, conjunction and disjunction in Boole were not a dual pair of operations.

For example, one may allow a conjunction or disjunction of infinitely many formulas, or quantification over infinitely many variables.

From this, Eddington inferred that a materialistic metaphysics was outmoded and that, in consequence, since the disjunction of materialism or idealism are assumed to be exhaustive, an idealistic metaphysics is required.

In English for example, some examples are "and" ( conjunction ), "or" ( disjunction ), "not” ( negation ) and "if" (but only when used to denote material conditional ).

In this way, the law of excluded middle is true, but because truth itself, and therefore disjunction, is not exclusive, it says next to nothing if one of the disjuncts is paradoxical, or both true and false.

It includes the cardinality constraints from OSLC Resource Shapes and Dublin Core Description Set Profiles as well as logical connectives for disjunction and polymorphism.

Logical disjunction is usually short-circuited ; that is, if the first (left) operand evaluates to true then the second (right) operand is not evaluated.

More generally, a disjunction is a logical formula that can have one or more literals separated only by 'or's.

Neither conjunction, disjunction, nor material conditional has an equivalent form constructed of the other four logical connectives.

Other common logical propositions are disjunction ( ), negation ( ), implication ( ), and the logical constants truth ( ) and falsehood ( ).

Sheffer interpreted the stroke as a sign for non-disjunction (NOR) in his paper, mentioning non-conjunction only in a footnote and without a special sign for it.