Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Constructivism_(mathematics)> ?p ?o }
- Constructivism_(mathematics) abstract "In the philosophy of mathematics, constructivism asserts that it is necessary to find (or \"construct\") a mathematical object to prove that it exists. When one assumes that an object does not exist and derives a contradiction from that assumption, one still has not found the object and therefore not proved its existence, according to constructivism. This viewpoint involves a verificational interpretation of the existence quantifier, which is at odds with its classical interpretation.There are many forms of constructivism. These include the program of intuitionism founded by Brouwer, the finitism of Hilbert and Bernays, the constructive recursive mathematics of Shanin and Markov, and Bishop's program of constructive analysis. Constructivism also includes the study of constructive set theories such as IZF and the study of topos theory.Constructivism is often identified with intuitionism, although intuitionism is only one constructivist program. Intuitionism maintains that the foundations of mathematics lie in the individual mathematician's intuition, thereby making mathematics into an intrinsically subjective activity. Other forms of constructivism are not based on this viewpoint of intuition, and are compatible with an objective viewpoint on mathematics.".
- Constructivism_(mathematics) wikiPageExternalLink relationships.pdf..
- Constructivism_(mathematics) wikiPageExternalLink mathematics-constructive.
- Constructivism_(mathematics) wikiPageExternalLink hhhist.pdf,.
- Constructivism_(mathematics) wikiPageID "21059".
- Constructivism_(mathematics) wikiPageLength "17050".
- Constructivism_(mathematics) wikiPageOutDegree "111".
- Constructivism_(mathematics) wikiPageRevisionID "697171091".
- Constructivism_(mathematics) wikiPageWikiLink Andrey_Markov,_Jr..
- Constructivism_(mathematics) wikiPageWikiLink Anne_Sjerp_Troelstra.
- Constructivism_(mathematics) wikiPageWikiLink Arend_Heyting.
- Constructivism_(mathematics) wikiPageWikiLink Axiom.
- Constructivism_(mathematics) wikiPageWikiLink Axiom_of_choice.
- Constructivism_(mathematics) wikiPageWikiLink Axiom_of_dependent_choice.
- Constructivism_(mathematics) wikiPageWikiLink Bijection.
- Constructivism_(mathematics) wikiPageWikiLink Brouwer–Heyting–Kolmogorov_interpretation.
- Constructivism_(mathematics) wikiPageWikiLink Cantors_diagonal_argument.
- Constructivism_(mathematics) wikiPageWikiLink Cardinal_number.
- Constructivism_(mathematics) wikiPageWikiLink Categorical_logic.
- Constructivism_(mathematics) wikiPageWikiLink Category:Constructivism_(mathematics).
- Constructivism_(mathematics) wikiPageWikiLink Category:Epistemology.
- Constructivism_(mathematics) wikiPageWikiLink Cauchy_sequence.
- Constructivism_(mathematics) wikiPageWikiLink Choice_sequence.
- Constructivism_(mathematics) wikiPageWikiLink Classical_logic.
- Constructivism_(mathematics) wikiPageWikiLink Computability_theory.
- Constructivism_(mathematics) wikiPageWikiLink Computable_function.
- Constructivism_(mathematics) wikiPageWikiLink Computable_number.
- Constructivism_(mathematics) wikiPageWikiLink Computer_science.
- Constructivism_(mathematics) wikiPageWikiLink Construction.
- Constructivism_(mathematics) wikiPageWikiLink Construction_of_the_real_numbers.
- Constructivism_(mathematics) wikiPageWikiLink Constructive_analysis.
- Constructivism_(mathematics) wikiPageWikiLink Constructive_non-standard_analysis.
- Constructivism_(mathematics) wikiPageWikiLink Constructive_proof.
- Constructivism_(mathematics) wikiPageWikiLink Constructive_set_theory.
- Constructivism_(mathematics) wikiPageWikiLink Countable_set.
- Constructivism_(mathematics) wikiPageWikiLink David_Hilbert.
- Constructivism_(mathematics) wikiPageWikiLink Diaconescus_theorem.
- Constructivism_(mathematics) wikiPageWikiLink Dirk_van_Dalen.
- Constructivism_(mathematics) wikiPageWikiLink Disjunction_and_existence_properties.
- Constructivism_(mathematics) wikiPageWikiLink Douglas_Bridges.
- Constructivism_(mathematics) wikiPageWikiLink E_(mathematical_constant).
- Constructivism_(mathematics) wikiPageWikiLink Equivalence_class.
- Constructivism_(mathematics) wikiPageWikiLink Errett_Bishop.
- Constructivism_(mathematics) wikiPageWikiLink Existential_quantification.
- Constructivism_(mathematics) wikiPageWikiLink Finite_set.
- Constructivism_(mathematics) wikiPageWikiLink Finitism.
- Constructivism_(mathematics) wikiPageWikiLink Formal_system.
- Constructivism_(mathematics) wikiPageWikiLink Fred_Richman.
- Constructivism_(mathematics) wikiPageWikiLink Free_variables_and_bound_variables.
- Constructivism_(mathematics) wikiPageWikiLink Function_(mathematics).
- Constructivism_(mathematics) wikiPageWikiLink Game_semantics.
- Constructivism_(mathematics) wikiPageWikiLink Goldbachs_conjecture.
- Constructivism_(mathematics) wikiPageWikiLink Grundlagen_der_Mathematik.
- Constructivism_(mathematics) wikiPageWikiLink Harold_Edwards_(mathematician).
- Constructivism_(mathematics) wikiPageWikiLink Heyting_arithmetic.
- Constructivism_(mathematics) wikiPageWikiLink History_of_topos_theory.
- Constructivism_(mathematics) wikiPageWikiLink Homomorphism.
- Constructivism_(mathematics) wikiPageWikiLink Hopf_algebra.
- Constructivism_(mathematics) wikiPageWikiLink Infinity.
- Constructivism_(mathematics) wikiPageWikiLink Intuitionism.
- Constructivism_(mathematics) wikiPageWikiLink Intuitionistic_logic.
- Constructivism_(mathematics) wikiPageWikiLink Intuitionistic_type_theory.
- Constructivism_(mathematics) wikiPageWikiLink L._E._J._Brouwer.
- Constructivism_(mathematics) wikiPageWikiLink Law_of_excluded_middle.
- Constructivism_(mathematics) wikiPageWikiLink Law_of_noncontradiction.
- Constructivism_(mathematics) wikiPageWikiLink Lebesgue_measure.
- Constructivism_(mathematics) wikiPageWikiLink Lee_Smolin.
- Constructivism_(mathematics) wikiPageWikiLink Leopold_Kronecker.
- Constructivism_(mathematics) wikiPageWikiLink Measure_(mathematics).
- Constructivism_(mathematics) wikiPageWikiLink Michael_J._Beeson.
- Constructivism_(mathematics) wikiPageWikiLink Modulus_of_convergence.
- Constructivism_(mathematics) wikiPageWikiLink Nikolai_Aleksandrovich_Shanin.
- Constructivism_(mathematics) wikiPageWikiLink Normal_number.
- Constructivism_(mathematics) wikiPageWikiLink Partial_function.
- Constructivism_(mathematics) wikiPageWikiLink Paul_Bernays.
- Constructivism_(mathematics) wikiPageWikiLink Paul_Lorenzen.
- Constructivism_(mathematics) wikiPageWikiLink Per_Martin-Löf.
- Constructivism_(mathematics) wikiPageWikiLink Philosophy_of_mathematics.
- Constructivism_(mathematics) wikiPageWikiLink Prime_number.
- Constructivism_(mathematics) wikiPageWikiLink Principle_of_bivalence.
- Constructivism_(mathematics) wikiPageWikiLink Quantifier_(logic).
- Constructivism_(mathematics) wikiPageWikiLink Rational_number.
- Constructivism_(mathematics) wikiPageWikiLink Real_analysis.
- Constructivism_(mathematics) wikiPageWikiLink Recursively_enumerable_set.
- Constructivism_(mathematics) wikiPageWikiLink Reductio_ad_absurdum.
- Constructivism_(mathematics) wikiPageWikiLink Schröder–Bernstein_theorem.
- Constructivism_(mathematics) wikiPageWikiLink Set_(mathematics).
- Constructivism_(mathematics) wikiPageWikiLink Solomon_Feferman.
- Constructivism_(mathematics) wikiPageWikiLink Surjective_function.
- Constructivism_(mathematics) wikiPageWikiLink Theory_of_justification.
- Constructivism_(mathematics) wikiPageWikiLink Three_Roads_to_Quantum_Gravity.
- Constructivism_(mathematics) wikiPageWikiLink Topos.
- Constructivism_(mathematics) wikiPageWikiLink Triviality_(mathematics).
- Constructivism_(mathematics) wikiPageWikiLink Type_theory.
- Constructivism_(mathematics) wikiPageWikiLink Typed_lambda_calculus.
- Constructivism_(mathematics) wikiPageWikiLink Witness_extraction.
- Constructivism_(mathematics) wikiPageWikiLink Zermelo–Fraenkel_set_theory.
- Constructivism_(mathematics) wikiPageWikiLinkText "Constructive".
- Constructivism_(mathematics) wikiPageWikiLinkText "Constructivism (mathematics)".
- Constructivism_(mathematics) wikiPageWikiLinkText "Constructivism (mathematics)#Example from real analysis".