Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Formal_system> ?p ?o }
- Formal_system abstract "A formal system is broadly defined as any well-defined system of abstract thought based on the model of mathematics. The entailment of the system by its logical foundation is what distinguishes a formal system from others which may have some basis in an abstract model. Often the formal system will be the basis for or even identified with a larger theory or field (e.g. Euclidean geometry) consistent with the usage in modern mathematics such as model theory. A formal system need not be mathematical as such; for example, Spinoza's Ethics imitates the form of Euclid's Elements.Each formal system has a formal language, which is composed by primitive symbols. These symbols act on certain rules of formation and are developed by inference from a set of axioms. The system thus consists of any number of formulas built up through finite combinations of the primitive symbols—combinations that are formed from the axioms in accordance with the stated rules.Formal systems in mathematics consist of the following elements: A finite set of symbols (i.e. the alphabet), that can be used for constructing formulas (i.e. finite strings of symbols). A grammar, which tells how well-formed formulas (abbreviated wff) are constructed out of the symbols in the alphabet. It is usually required that there be a decision procedure for deciding whether a formula is well formed or not. A set of axioms or axiom schemata: each axiom must be a wff. A set of inference rules.A formal system is said to be recursive (i.e. effective) if the set of axioms and the set of inference rules are decidable sets or semidecidable sets, according to context.Some theorists use the term formalism as a rough synonym for formal system, but the term is also used to refer to a particular style of notation, for example, Paul Dirac's bra–ket notation.".
- Formal_system wikiPageExternalLink formal-system.
- Formal_system wikiPageExternalLink formal.sys.haug.html.
- Formal_system wikiPageExternalLink machines.htm.
- Formal_system wikiPageID "396102".
- Formal_system wikiPageLength "10589".
- Formal_system wikiPageOutDegree "85".
- Formal_system wikiPageRevisionID "697178627".
- Formal_system wikiPageWikiLink Abstraction.
- Formal_system wikiPageWikiLink Alphabet_(formal_languages).
- Formal_system wikiPageWikiLink Axiom.
- Formal_system wikiPageWikiLink Axiom_schema.
- Formal_system wikiPageWikiLink Axiomatic_system.
- Formal_system wikiPageWikiLink Belief.
- Formal_system wikiPageWikiLink Bra–ket_notation.
- Formal_system wikiPageWikiLink Category:Formal_languages.
- Formal_system wikiPageWikiLink Category:Formal_systems.
- Formal_system wikiPageWikiLink Category:Metalogic.
- Formal_system wikiPageWikiLink Category:Syntax_(logic).
- Formal_system wikiPageWikiLink Completeness_(logic).
- Formal_system wikiPageWikiLink Computer_science.
- Formal_system wikiPageWikiLink David_Hilbert.
- Formal_system wikiPageWikiLink Decidability_(logic).
- Formal_system wikiPageWikiLink Deductive_reasoning.
- Formal_system wikiPageWikiLink Douglas_Hofstadter.
- Formal_system wikiPageWikiLink Ethics_(Spinoza).
- Formal_system wikiPageWikiLink Euclidean_geometry.
- Formal_system wikiPageWikiLink Formal_ethics.
- Formal_system wikiPageWikiLink Formal_grammar.
- Formal_system wikiPageWikiLink Formal_language.
- Formal_system wikiPageWikiLink Formal_methods.
- Formal_system wikiPageWikiLink Formal_proof.
- Formal_system wikiPageWikiLink Formal_science.
- Formal_system wikiPageWikiLink Formal_semantics_(logic).
- Formal_system wikiPageWikiLink Free_variables_and_bound_variables.
- Formal_system wikiPageWikiLink Generative_grammar.
- Formal_system wikiPageWikiLink Gxc3xb6dels_incompleteness_theorems.
- Formal_system wikiPageWikiLink Gödel,_Escher,_Bach.
- Formal_system wikiPageWikiLink Interpretation_(logic).
- Formal_system wikiPageWikiLink Lambda_calculus.
- Formal_system wikiPageWikiLink Linguistics.
- Formal_system wikiPageWikiLink List_of_formal_systems.
- Formal_system wikiPageWikiLink Logical_consequence.
- Formal_system wikiPageWikiLink Mathematical_proof.
- Formal_system wikiPageWikiLink Mathematics.
- Formal_system wikiPageWikiLink Metalanguage.
- Formal_system wikiPageWikiLink Metamathematics.
- Formal_system wikiPageWikiLink Metatheorem.
- Formal_system wikiPageWikiLink Modal_logic.
- Formal_system wikiPageWikiLink Model_theory.
- Formal_system wikiPageWikiLink Object_language.
- Formal_system wikiPageWikiLink Paul_Dirac.
- Formal_system wikiPageWikiLink Philosophy_of_mathematics.
- Formal_system wikiPageWikiLink Proof_calculus.
- Formal_system wikiPageWikiLink QED_manifesto.
- Formal_system wikiPageWikiLink Recursive_set.
- Formal_system wikiPageWikiLink Recursively_enumerable_set.
- Formal_system wikiPageWikiLink Rewriting.
- Formal_system wikiPageWikiLink Rule_of_inference.
- Formal_system wikiPageWikiLink Semantics.
- Formal_system wikiPageWikiLink Sentence_(logic).
- Formal_system wikiPageWikiLink Set_(mathematics).
- Formal_system wikiPageWikiLink Soundness.
- Formal_system wikiPageWikiLink String_(computer_science).
- Formal_system wikiPageWikiLink Substitution_(logic).
- Formal_system wikiPageWikiLink Symbol_(formal).
- Formal_system wikiPageWikiLink Syntax.
- Formal_system wikiPageWikiLink Theorem.
- Formal_system wikiPageWikiLink Theory_(mathematical_logic).
- Formal_system wikiPageWikiLink Theory_of_justification.
- Formal_system wikiPageWikiLink Truth.
- Formal_system wikiPageWikiLink Truth_value.
- Formal_system wikiPageWikiLink Well-formed_formula.
- Formal_system wikiPageWikiLinkText "Formal logic".
- Formal_system wikiPageWikiLinkText "Formal system".
- Formal_system wikiPageWikiLinkText "Formal system#Deductive system".
- Formal_system wikiPageWikiLinkText "Formal system#Logical system".
- Formal_system wikiPageWikiLinkText "Formalization".
- Formal_system wikiPageWikiLinkText "Logical system".
- Formal_system wikiPageWikiLinkText "calculus".
- Formal_system wikiPageWikiLinkText "deductive systems".
- Formal_system wikiPageWikiLinkText "derivation system".
- Formal_system wikiPageWikiLinkText "formal axiom systems".
- Formal_system wikiPageWikiLinkText "formal constructions".
- Formal_system wikiPageWikiLinkText "formal deductive system".
- Formal_system wikiPageWikiLinkText "formal description".
- Formal_system wikiPageWikiLinkText "formal logic system".
- Formal_system wikiPageWikiLinkText "formal system of logic".
- Formal_system wikiPageWikiLinkText "formal system".
- Formal_system wikiPageWikiLinkText "formal systems".
- Formal_system wikiPageWikiLinkText "formal".
- Formal_system wikiPageWikiLinkText "formalisation".
- Formal_system wikiPageWikiLinkText "formalised".
- Formal_system wikiPageWikiLinkText "formalism".
- Formal_system wikiPageWikiLinkText "formalisms".
- Formal_system wikiPageWikiLinkText "formalization".
- Formal_system wikiPageWikiLinkText "formalize".
- Formal_system wikiPageWikiLinkText "formalizing".
- Formal_system wikiPageWikiLinkText "logical calculi".
- Formal_system wikiPageWikiLinkText "logical calculus".