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Affirmation and negation are a crucial building blocks for language. The presence of negation is the absence of affirmation, where affirmation functions individually. [1] ...
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 ...
In logic, negation, also called the logical not or logical complement, is an operation that takes a proposition to another proposition "not ", written , , ...
Adorno wrote that "Negative Dialectics is a phrase that flouts tradition. As early as Plato, dialectics meant to achieve something positive by means of negation; the thought figure of the 'negation of the negation' later became the succinct term. This book seeks to free dialectics from such affirmative traits without reducing its determinacy."
The affirmative and negative responses to positively phrased questions are da and nu, respectively. But in responses to negatively phrased questions they are prefixed with ba (i.e. ba da and ba nu). nu is also used as a negation adverb, infixed between subject and verb. Thus, for example, the affirmative response to the negatively phrased ...
In proof theory, a discipline within mathematical logic, double-negation translation, sometimes called negative translation, is a general approach for embedding classical logic into intuitionistic logic. Typically it is done by translating formulas to formulas that are classically equivalent but intuitionistically inequivalent.
Weakening statements by adding two negations before existential quantifiers (and atoms) is also the core step in the double-negation translation. It constitutes an embedding of classical first-order logic into intuitionistic logic: a first-order formula is provable in classical logic if and only if its Gödel–Gentzen translation is provable ...
A negation is a negative polarity item, abbreviated NPI or NEG. The linguistic environment in which a polarity item appears is a licensing context. In the simplest case, an affirmative statement provides a licensing context for a PPI, while negation provides a licensing context for an NPI. However, there are many complications, and not all ...