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A double negative is a construction occurring when two forms of grammatical negation are used in the same sentence. This is typically used to convey a different shade ...
The word what can be used to form a free relative clause – one that has no antecedent and that serves as a complete noun phrase in itself, as in I like what he likes. The words whatever and whichever can be used similarly, in the role of either pronouns ( whatever he likes ) or determiners ( whatever book he likes ).
In propositional logic, the double negation of a statement states that "it is not the case that the statement is not true". In classical logic, every statement is logically equivalent to its double negation, but this is not true in intuitionistic logic; this can be expressed by the formula A ≡ ~(~A) where the sign ≡ expresses logical equivalence and the sign ~ expresses negation.
In rhetoric, litotes (/ l aɪ ˈ t oʊ t iː z, ˈ l aɪ t ə t iː z /, US: / ˈ l ɪ t ə t iː z /), [1] also known classically as antenantiosis or moderatour, is a figure of speech and form of irony in which understatement is used to emphasize a point by stating a negative to further affirm a positive, often incorporating double negatives for effect.
It seems to me that an expression like “can’t not” is awkward, in any register of English, in contrast with “cannot but”. To me, “cannot but” is a double negative which is unambiguously a strong positive. TomS TDotO 11:07, 30 August 2022 (UTC) What would an example of that be? Because for "can't not", it can be pretty simple.
Affirmative conclusion from a negative premise (illicit negative) is a formal fallacy that is committed when a categorical syllogism has a positive conclusion and one or two negative premises. For example: No fish are dogs, and no dogs can fly, therefore all fish can fly.