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In mathematical logic, a literal is an atomic formula (also known as an atom or prime formula) or its negation. [1] [2] The definition mostly appears in proof theory (of classical logic), e.g. in conjunctive normal form and the method of resolution. Literals can be divided into two types: [2] A positive literal is just an atom (e.g., ).
Analyse des Infiniment Petits pour l'Intelligence des Lignes Courbes (literal translation: Analysis of the infinitely small to understand curves), 1696, is the first textbook published on the infinitesimal calculus of Leibniz. It was written by the French mathematician Guillaume de l'Hôpital, and treated only the subject of differential calculus.
Example requires a quantifier over predicates, which cannot be implemented in single-sorted first-order logic: Zj → ∃X(Xj∧Xp). Quantification over properties Santa Claus has all the attributes of a sadist. Example requires quantifiers over predicates, which cannot be implemented in single-sorted first-order logic: ∀X(∀x(Sx → Xx) → ...
An idiom is an expression that has a figurative meaning often related, but different from the literal meaning of the phrase. Example: You should keep your eye out for him. A pun is an expression intended for a humorous or rhetorical effect by exploiting different meanings of words. Example: I wondered why the ball was getting bigger. Then it ...
A sign's ground is the respect in which the sign represents its object, e.g. as in literal and figurative language. For example, an icon presents a characteristic or quality attributed to an object, while a symbol imputes to an object a quality either presented by an icon or symbolized so as to evoke a mental icon.
In media studies terminology, denotation is an example of the first level of analysis: what the audience can visually see on a page. Denotation often refers to something literal, and avoids being a metaphor. Here it is usually coupled with connotation which is the second level of analysis, being what the denotation represents.
The resolution rule in propositional logic is a single valid inference rule that produces a new clause implied by two clauses containing complementary literals. A literal is a propositional variable or the negation of a propositional variable.
An idiom is a common word or phrase with a figurative, non-literal meaning that is understood culturally and differs from what its composite words' denotations would suggest; i.e. the words together have a meaning that is different from the dictionary definitions of the individual words (although some idioms do retain their literal meanings – see the example "kick the bucket" below).