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Thus we have to use double negation for such cases.
Literary language, therefore, is a double negation, both of the thing and the idea.
Double negation elimination is challenged, but for unrelated reasons.
For the theorem of propositional logic based on the same concept, see double negation.
The double negation elimination rule may be written as:
One shared feature seems to be double negation:
Double negation is uncommon in other West Germanic languages.
Both French and San origins have been suggested for double negation in Afrikaans.
Baker noted that double negation may provide an acceptable context for positive polarity items:
This principle is commonly called "the principle of double negation" (PM, pp.
Double negation.
The double negation introduction rule is:
Together with double negation elimination one may infer our originally formulated rule, namely that anything follows from an absurdity.
A negative pronoun demands a negative predicate, resulting in the so-called double negation.
The main difference is that Kriol allows double negation, so that some conjunctions are used differently.
When another negative word occurs with pas, a double negation interpretation usually arises, but this construction is criticised. "
The double negation law can be seen by complementing the shading in the third diagram for x, which shades the x circle.
Another approach is to reject disjunction introduction but keep disjunctive syllogism, transitivity, and double negation elimination.
Accordingly, negation in classical logic satisfies the law of double negation: A is equivalent to A.
Similar to some dialectal English, Bavarian employs both single and double negation, with the latter denoting special emphasis.
In intuitionistic logic, only the former is a theorem: double negation can be introduced, but it cannot be eliminated.
It maps each classical formula φ to its double negation φ.
Propositions 2.12 and 2.14, "double negation":
One obtains the rules for intuitionistic negation the same way but by excluding double negation elimination.
For the use of double negations or similar as understatements ("not unappealing", "not bad", etc.) see litotes.