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- Mathematical_induction abstract "Mathematical induction is a method of mathematical proof typically used to establish a given statement for all natural numbers. It is done in two steps. The first step, known as the base case, is to prove the given statement for the first natural number. The second step, known as the inductive step, is to prove that the given statement for any one natural number implies the given statement for the next natural number. From these two steps, mathematical induction is the rule from which we infer that the given statement is established for all natural numbers.The method can be extended to prove statements about more general well-founded structures, such as trees; this generalization, known as structural induction, is used in mathematical logic and computer science. Mathematical induction in this extended sense is closely related to recursion. Mathematical induction, in some form, is the foundation of all correctness proofs for computer programs.Although its namesake may suggest otherwise, mathematical induction should not be misconstrued as a form of inductive reasoning (also see Problem of induction). Mathematical induction is an inference rule used in proofs. In mathematics, proofs are examples of deductive reasoning and inductive reasoning is excluded from proofs.".
- Mathematical_induction thumbnail Dominoeffect.png?width=300.
- Mathematical_induction wikiPageID "18881".
- Mathematical_induction wikiPageRevisionID "605695852".
- Mathematical_induction hasPhotoCollection Mathematical_induction.
- Mathematical_induction id "p/m062640".
- Mathematical_induction title "Mathematical induction".
- Mathematical_induction subject Category:Articles_containing_proofs.
- Mathematical_induction subject Category:Deductive_reasoning.
- Mathematical_induction subject Category:Mathematical_induction.
- Mathematical_induction subject Category:Mathematical_logic.
- Mathematical_induction subject Category:Mathematical_proofs.
- Mathematical_induction subject Category:Proof_theory.
- Mathematical_induction type Abstraction100002137.
- Mathematical_induction type Argument106648724.
- Mathematical_induction type Communication100033020.
- Mathematical_induction type Evidence106643408.
- Mathematical_induction type Indication106797169.
- Mathematical_induction type MathematicalProof106647864.
- Mathematical_induction type MathematicalProofs.
- Mathematical_induction type Proof106647614.
- Mathematical_induction comment "Mathematical induction is a method of mathematical proof typically used to establish a given statement for all natural numbers. It is done in two steps. The first step, known as the base case, is to prove the given statement for the first natural number. The second step, known as the inductive step, is to prove that the given statement for any one natural number implies the given statement for the next natural number.".
- Mathematical_induction label "Inducción matemática".
- Mathematical_induction label "Indukcja matematyczna".
- Mathematical_induction label "Indução matemática".
- Mathematical_induction label "Mathematical induction".
- Mathematical_induction label "Principio d'induzione".
- Mathematical_induction label "Raisonnement par récurrence".
- Mathematical_induction label "Volledige inductie".
- Mathematical_induction label "Vollständige Induktion".
- Mathematical_induction label "Математическая индукция".
- Mathematical_induction label "استقراء رياضي".
- Mathematical_induction label "数学归纳法".
- Mathematical_induction label "数学的帰納法".
- Mathematical_induction sameAs Matematická_indukce.
- Mathematical_induction sameAs Vollständige_Induktion.
- Mathematical_induction sameAs Μαθηματική_επαγωγή.
- Mathematical_induction sameAs Inducción_matemática.
- Mathematical_induction sameAs Raisonnement_par_récurrence.
- Mathematical_induction sameAs Induksi_matematika.
- Mathematical_induction sameAs Principio_d'induzione.
- Mathematical_induction sameAs 数学的帰納法.
- Mathematical_induction sameAs 수학적_귀납법.
- Mathematical_induction sameAs Volledige_inductie.
- Mathematical_induction sameAs Indukcja_matematyczna.
- Mathematical_induction sameAs Indução_matemática.
- Mathematical_induction sameAs m.04rxr.
- Mathematical_induction sameAs Q178377.
- Mathematical_induction sameAs Q178377.
- Mathematical_induction sameAs Mathematical_induction.
- Mathematical_induction wasDerivedFrom Mathematical_induction?oldid=605695852.
- Mathematical_induction depiction Dominoeffect.png.
- Mathematical_induction isPrimaryTopicOf Mathematical_induction.
