• An interpretation is an assignment of meaning to the symbols of a formal language. Many formal languages used in mathematics, logic, and theoretical computer...
    32 KB (4,478 words) - 03:26, 11 May 2025
  • structure Interpretation function, in mathematical logic a function that assigns functions and relations to the symbols of a signature Interpretations of quantum...
    4 KB (457 words) - 04:33, 6 March 2025
  • First-order logic, also called predicate logic, predicate calculus, or quantificational logic, is a collection of formal systems used in mathematics,...
    92 KB (12,931 words) - 16:12, 7 May 2025
  • depending on the interpretation given to them. While first-order logic only includes predicates that apply to individual objects, other logics may allow predicates...
    3 KB (421 words) - 11:48, 16 March 2025
  • mathematical logic, the Brouwer–Heyting–Kolmogorov interpretation, or BHK interpretation, is an explanation of the meaning of proof in intuitionistic logic, proposed...
    8 KB (1,365 words) - 21:06, 18 March 2025
  • peculiarities of the logic of the dream-work can be seen taking place almost from the beginning of The Interpretation of Dreams. [...] This "kettle logic," as Derrida...
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  • of simple denotational models, linear logic may be seen as refining the interpretation of intuitionistic logic by replacing cartesian (closed) categories...
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  • truth, in some systems of logic like in Modal logic if the statement is true in all interpretations. In Aristotelian logic statements are not valid per...
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  • propositions- or formulae-as-types interpretation. It is a generalization of a syntactic analogy between systems of formal logic and computational calculi that...
    58 KB (6,375 words) - 09:39, 27 May 2025
  • branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic. Sometimes...
    118 KB (11,444 words) - 15:51, 30 May 2025
  • as "interpretations", whereas the term "interpretation" generally has a different (although related) meaning in model theory; see interpretation (model...
    35 KB (5,097 words) - 21:36, 24 March 2025
  • Thumbnail for Informal logic
    "Informal logic designates that branch of logic whose task is to develop non-formal2 standards, criteria, procedures for the analysis, interpretation, evaluation...
    22 KB (2,977 words) - 17:33, 29 May 2025
  • Classical logic Computability logic Deontic logic Dependence logic Description logic Deviant logic Doxastic logic Epistemic logic First-order logic Formal...
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  • classical logic. The standard explanation of intuitionistic logic is the BHK interpretation. Several systems of semantics for intuitionistic logic have been...
    53 KB (8,022 words) - 07:50, 29 April 2025
  • Thumbnail for Syntax (logic)
    In logic, syntax is anything having to do with formal languages or formal systems without regard to any interpretation or meaning given to them. Syntax...
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  • In mathematical logic, a tautology (from Ancient Greek: ταυτολογία) is a formula that is true regardless of the interpretation of its component terms,...
    23 KB (3,114 words) - 06:31, 30 March 2025
  • In mathematical logic, a Herbrand interpretation is an interpretation in which all constants and function symbols are assigned very simple meanings. Specifically...
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  • Metalogic (redirect from Meta-logic)
    formal systems, and their interpretations. The study of interpretation of formal systems is the branch of mathematical logic that is known as model theory...
    11 KB (1,402 words) - 20:44, 10 April 2025
  • 1016/1355-2198(95)00019-4. Rudolf Carnap, 1939, "The interpretation of physics", in Foundations of Logic and Mathematics of the International Encyclopedia...
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  • Thumbnail for Logical disjunction
    In logic, disjunction (also known as logical disjunction, logical or, logical addition, or inclusive disjunction) is a logical connective typically notated...
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  • constitutional documents and legislation (see statutory interpretation). In logic, an interpretation is an assignment of meaning to the symbols of a language...
    4 KB (413 words) - 05:11, 20 January 2025
  • Fuzzy logic is a form of many-valued logic in which the truth value of variables may be any real number between 0 and 1. It is employed to handle the concept...
    54 KB (6,598 words) - 13:29, 27 March 2025
  • of an interpretation. Two key uses of formulas are in propositional logic and predicate logic. A key use of formulas is in propositional logic and predicate...
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  • Conservative extension Interpretation (logic) Interpretation (model theory) Interpretability logic Japaridze, G., and De Jongh, D. (1998) "The logic of provability"...
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  • In mathematical logic, a sentence (or closed formula) of a predicate logic is a Boolean-valued well-formed formula with no free variables. A sentence can...
    4 KB (461 words) - 10:01, 16 September 2024
  • science. In broad terms, categorical logic represents both syntax and semantics by a category, and an interpretation by a functor. The categorical framework...
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  • In logic, the semantics of logic or formal semantics is the study of the meaning and interpretation of formal languages, formal systems, and (idealizations...
    6 KB (707 words) - 18:29, 15 May 2025
  • (mathematical logic) Interpretation (logic) Substructure (mathematics) Elementary substructure Skolem hull Non-standard model Atomic model (mathematical logic) Prime...
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  • Logic programming is a programming, database and knowledge representation paradigm based on formal logic. A logic program is a set of sentences in logical...
    85 KB (10,767 words) - 04:50, 12 May 2025
  • In logic, a quantifier is an operator that specifies how many individuals in the domain of discourse satisfy an open formula. For instance, the universal...
    32 KB (4,559 words) - 12:11, 11 May 2025