Definition of "negation"

negation

/nəˈɡeɪʃən/

noun
countable and uncountable, plural negations
1. (uncountable) The act of negating something.
2. (countable) A denial or contradiction.
  Quotations
  But it pleased her to play on my passion / And whet me to pleadings / That won from her mirthful negations / And scornings undue.
  1909, Thomas Hardy, The Flirt's Tragedy
3. (logic, countable) A proposition which is the contradictory of another proposition and which can be obtained from that other proposition by the appropriately placed addition/insertion of the word "not". (Or, in symbolic logic, by prepending that proposition with the symbol for the logical operator "not".)
  Quotations
  You get the negation of a proposition if you insert "not" (or some equivalent expression) into it in such a way as to form a contradictory of it.
  2001, Mark Sainsbury, chapter 1, in Logical Forms — An Introduction to Philosophical Logic, 2nd edition, Blackwell Publishing, §4, page 19
4. (logic) The logical operation which obtains such (negated) propositions.
  Quotations
  Although some of the logicians working in term logic have very complicated treatments of negation, we can see the origin of the modern conception in the extensional tradition as well. In Boole and most of his followers, the negation of a term is understood as the set theoretic complement of the class represented by that term. For this reason, the negation of classical propositional logic is often called ‘Boolean negation’.
  2011 July 20, Edwin Mares, “Propositional Functions”, in The Stanford Encyclopedia of Philosophy‎, retrieved 2012-07-15