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Exclusive disjunction essentially means 'either one, but not both nor none'. In other words, the statement is true if and only if one is true and the other is false. For example, if two horses are racing, then one of the two will win the race, but not both of them.
Either/Or (Danish: Enten – Eller) is the first published work of Danish philosopher Søren Kierkegaard. It appeared in two volumes in 1843 under the pseudonymous editorship of Victor Eremita (Latin for "victorious hermit").
The XNOR gate (sometimes ENOR, EXNOR, NXOR, XAND and pronounced as Exclusive NOR) is a digital logic gate whose function is the logical complement of the Exclusive OR gate. [1] It is equivalent to the logical connective ( ↔ {\displaystyle \leftrightarrow } ) from mathematical logic , also known as the material biconditional.
In Boolean logic, logical NOR, [1] non-disjunction, or joint denial [1] is a truth-functional operator which produces a result that is the negation of logical or. That is, a sentence of the form ( p NOR q ) is true precisely when neither p nor q is true—i.e. when both p and q are false .
In formal languages, truth functions are represented by unambiguous symbols.This allows logical statements to not be understood in an ambiguous way. These symbols are called logical connectives, logical operators, propositional operators, or, in classical logic, truth-functional connectives.
Either/Or (Kierkegaard book), an 1843 book by Søren Kierkegaard; Either/Or (Batuman novel), a 2022 novel by Elif Batuman; Either/Or, a 1997 album by Elliott Smith; Either/Or, a 1999 British comedy game show written and presented by Simon Munnery; either...or and neither...nor, examples of correlative conjunctions in English
Consider the difference between he (subjective) and him (objective), as in "He saw it" and "It saw him"; similarly, consider who, which is subjective, and the objective whom. Further, these pronouns and a few others have distinct possessive forms, such as his and whose .
A relation can be both symmetric and antisymmetric (in this case, it must be coreflexive), and there are relations which are neither symmetric nor antisymmetric (for example, the "preys on" relation on biological species). Antisymmetry is different from asymmetry: a relation is asymmetric if and only if it is antisymmetric and irreflexive.