principle of mathematical induction (Q54500890)

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mathematical axiom

• principle of induction
• induction axiom
• mathematical induction axiom
• principle of weak induction
• weak induction axiom
• weak induction

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Language	Label	Description	Also known as
English	principle of mathematical induction	mathematical axiom	principle of induction induction axiom mathematical induction axiom principle of weak induction weak induction axiom weak induction

Statements

instance of

axiom

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part of

Peano axioms

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has effect

mathematical induction

1 reference

stated in

Insiemi, numeri e polinomi

chapter

Metodo di dimostrazione per induzione

page(s)

25

defining formula

${\displaystyle P(0)\land \forall x(P(x)\implies P(x+1))\implies \forall xP(x)}$

1 reference

stated in

Encyclopedia of Mathematics

reference URL

https://www.encyclopediaofmath.org/index.php/Induction_axiom

maintained by WikiProject

WikiProject Mathematics

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Identifiers

Encyclopedia of Mathematics article ID

Induction_axiom

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MathWorld ID

PrincipleofMathematicalInduction

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ProofWiki ID

Principle_of_Mathematical_Induction

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