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- Abstract_structure abstract "An abstract structure in mathematics is a formal object that is defined by a set of laws, properties, and relationships in a way that is logically if not always historically independent of the structure of contingent experiences, for example, those involving physical objects. Abstract structures are studied not only in logic and mathematics but in the fields that apply them, as computer science, and in the studies that reflect on them, such as philosophy and especially the philosophy of mathematics. Indeed, modern mathematics has been defined in a very general sense as the study of abstract structures (by the Bourbaki group: see discussion there, at algebraic structure and also structure).An abstract structure may be represented (perhaps with some degree of approximation) by one or more physical objects — this is called an implementation or instantiation of the abstract structure. But the abstract structure itself is defined in a way that is not dependent on the properties of any particular implementation.An abstract structure has a richer structure than a concept or an idea. An abstract structure must include precise rules of behaviour which can be used to determine whether a candidate implementation actually matches the abstract structure in question. Thus we may debate how well a particular government fits the concept of democracy, but there is no room for debate over whether a given sequence of moves is or is not a valid game of chess.".
- Abstract_structure wikiPageID "359377".
- Abstract_structure wikiPageLength "2708".
- Abstract_structure wikiPageOutDegree "33".
- Abstract_structure wikiPageRevisionID "668554454".
- Abstract_structure wikiPageWikiLink Abstract_and_concrete.
- Abstract_structure wikiPageWikiLink Abstraction.
- Abstract_structure wikiPageWikiLink Abstraction_(computer_science).
- Abstract_structure wikiPageWikiLink Abstraction_(mathematics).
- Abstract_structure wikiPageWikiLink Algebraic_structure.
- Abstract_structure wikiPageWikiLink Category:Abstraction.
- Abstract_structure wikiPageWikiLink Category:Mathematical_terminology.
- Abstract_structure wikiPageWikiLink Category:Structure.
- Abstract_structure wikiPageWikiLink Computer_science.
- Abstract_structure wikiPageWikiLink Concept.
- Abstract_structure wikiPageWikiLink Continental_drift.
- Abstract_structure wikiPageWikiLink Democracy.
- Abstract_structure wikiPageWikiLink Earth.
- Abstract_structure wikiPageWikiLink Euclidean_geometry.
- Abstract_structure wikiPageWikiLink Formal_language.
- Abstract_structure wikiPageWikiLink Formal_science.
- Abstract_structure wikiPageWikiLink Formal_system.
- Abstract_structure wikiPageWikiLink Hypostatic_abstraction.
- Abstract_structure wikiPageWikiLink Idea.
- Abstract_structure wikiPageWikiLink Instantiation_principle.
- Abstract_structure wikiPageWikiLink Logic.
- Abstract_structure wikiPageWikiLink Mathematical_structure.
- Abstract_structure wikiPageWikiLink Mathematics.
- Abstract_structure wikiPageWikiLink Melody.
- Abstract_structure wikiPageWikiLink Natural_language.
- Abstract_structure wikiPageWikiLink Nicolas_Bourbaki.
- Abstract_structure wikiPageWikiLink Orchestration.
- Abstract_structure wikiPageWikiLink Philosophy.
- Abstract_structure wikiPageWikiLink Philosophy_of_mathematics.
- Abstract_structure wikiPageWikiLink Recipe.
- Abstract_structure wikiPageWikiLink Sorting_algorithm.
- Abstract_structure wikiPageWikiLink Structure_(category_theory).
- Abstract_structure wikiPageWikiLinkText "Abstract structure".
- Abstract_structure wikiPageWikiLinkText "abstract form".
- Abstract_structure wikiPageWikiLinkText "abstract structure".
- Abstract_structure wikiPageWikiLinkText "abstract".
- Abstract_structure wikiPageWikiLinkText "structure".
- Abstract_structure bot "yes".
- Abstract_structure date "June 2009".
- Abstract_structure wikiPageUsesTemplate Template:Mathlogic-stub.
- Abstract_structure wikiPageUsesTemplate Template:Unreferenced.
- Abstract_structure subject Category:Abstraction.
- Abstract_structure subject Category:Mathematical_terminology.
- Abstract_structure subject Category:Structure.
- Abstract_structure hypernym Object.
- Abstract_structure type Planet.
- Abstract_structure type Concept.
- Abstract_structure comment "An abstract structure in mathematics is a formal object that is defined by a set of laws, properties, and relationships in a way that is logically if not always historically independent of the structure of contingent experiences, for example, those involving physical objects.".
- Abstract_structure label "Abstract structure".
- Abstract_structure sameAs Q4833865.
- Abstract_structure sameAs بنية_مجردة.
- Abstract_structure sameAs Abstrakti_struktūra.
- Abstract_structure sameAs m.01_89k.
- Abstract_structure sameAs โครงสร้างนามธรรม.
- Abstract_structure sameAs Soyut_yapı.
- Abstract_structure sameAs Q4833865.
- Abstract_structure wasDerivedFrom Abstract_structure?oldid=668554454.
- Abstract_structure isPrimaryTopicOf Abstract_structure.