List questions from peano-axioms

Published on 25 Mar 2015 - 19:20

295

Views

embdedding standard models of PA into nonstandard models

Published on 25 Mar 2026 - 7:48

89

Views

Modifying the Peano Axioms to allow multiple successors

Published on 03 Apr 2015 - 2:14

78

Views

Why doesn't inequality hold as a property in natural number induction?

Published on 03 Apr 2015 - 7:32

641

Views

Prove that the greatest common factor of $m+n$ and $m^2+n^2$ is 1 or 2 if $m$ and $n$ are relatively prime.

Published on 08 Apr 2015 - 15:44

108

Views

Set of axioms for finite subset of Natural Numbers

Published on 10 Apr 2015 - 3:14

535

Views

Transfinite Induction in Peano Arithmetic

Published on 12 Apr 2015 - 14:25

108

Views

Which one of the following logical propositions is to be preferred?

Published on 15 Apr 2015 - 11:43

318

Views

Variations in the successor function from Peano's axioms

Published on 24 Apr 2015 - 9:41

166

Views

Regarding Peano's Axioms

Published on 30 Apr 2015 - 1:15

355

Views

The necessity of the axiom of induction

Published on 12 May 2015 - 12:19

293

Views

How does PA prove all $\Delta_0$-formulas which are true in the standard model?

Published on 27 Mar 2026 - 8:58

106

Views

Expressing quantifier free $\mathcal{L}_{PA}$-formulae $\varphi(y,\vec{x})$ with polynomials

Published on 25 May 2015 - 9:23

726

Views

Why a system becomes incomplete once it's capable of doing arithmetic?

Published on 27 Mar 2026 - 7:13

342

Views

Peano and consistency, how to understand it rightly.

Published on 27 Mar 2026 - 7:20

List Question

Failures of categoricity not related to size?

embdedding standard models of PA into nonstandard models

Modifying the Peano Axioms to allow multiple successors

Why doesn't inequality hold as a property in natural number induction?

Prove that the greatest common factor of $m+n$ and $m^2+n^2$ is 1 or 2 if $m$ and $n$ are relatively prime.

Set of axioms for finite subset of Natural Numbers

Transfinite Induction in Peano Arithmetic

Which one of the following logical propositions is to be preferred?

Variations in the successor function from Peano's axioms

Regarding Peano's Axioms

The necessity of the axiom of induction

How does PA prove all $\Delta_0$-formulas which are true in the standard model?

Expressing quantifier free $\mathcal{L}_{PA}$-formulae $\varphi(y,\vec{x})$ with polynomials

Why a system becomes incomplete once it's capable of doing arithmetic?

Peano and consistency, how to understand it rightly.

Trending Questions

Popular # Hahtags

Popular Questions