Peano axioms

Summary

Peano axioms is an axiomatic system^[1]. It ranks in the top 8% of axiomatic_system entities by monthly Wikipedia readership (604 views/month).^[2]

Key Facts

• Peano axioms's instance of is recorded as axiomatic system^[3].
• Giuseppe Peano is named after Peano axioms^[4].
• Richard Dedekind is named after Peano axioms^[5].
• Peano axioms's part of is recorded as Peano arithmetic^[6].
• Peano axioms's has part is recorded as principle of mathematical induction^[7].
• Peano axioms's Freebase ID is recorded as /m/067zn^[8].
• Peano axioms's Gran Enciclopèdia Catalana ID is recorded as 0049603^[9].
• Peano axioms's Encyclopædia Britannica Online ID is recorded as topic/Peano-axioms^[10].
• Peano axioms's defining formula is recorded as \begin{aligned}&\exists x\not\exists y\colon y^+=x\&\forall x\forall y\colon x^+=y^+\implies x=y\&\phi(0)\land(\forall n\colon\phi(n)\implies\phi(n^+))\implies\forall n\colon\phi(n)\end{aligned}^[11].
• Peano axioms's has part is recorded as axiom^[12].
• Peano axioms's MathWorld ID is recorded as PeanosAxioms^[13].
• Peano axioms's JSTOR topic ID is recorded as peano-axioms^[14].
• Peano axioms's maintained by WikiProject is recorded as WikiProject Mathematics^[15].
• Peano axioms's Microsoft Academic ID is recorded as 97489613^[16].
• Peano axioms's Brilliant Wiki ID is recorded as peano-axioms^[17].
• Peano axioms's OpenAlex ID is recorded as C97489613^[18].
• Peano axioms's ScienceDirect topic ID is recorded as mathematics/peano-axiom^[19].
• Peano axioms's Gran Enciclopèdia Catalana ID is recorded as axiomes-de-peano^[20].

Why It Matters

Peano axioms ranks in the top 8% of axiomatic_system entities by monthly Wikipedia readership (604 views/month).^[2] It has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.^[21] It is known by 29 alternative names across languages and contexts.^[22]