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15
18
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Metamathematic: Cover the case if X=Y

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#formal-languages #peano-axioms #formal-systems #meta-math
145
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Could relational operators be used to construct formal theory of natural numbers which is "stronger" than Peano Axioms?

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#elementary-number-theory #philosophy #foundations #peano-axioms
242
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Peano axioms with only sets and mapping

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#abstract-algebra #peano-axioms
132
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Peano and induction according to Schaum's Outline

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#peano-axioms
582
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Is the axiom of induction constructively verifiable for a non-standard model of arithmetic?

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#model-theory #axiom-of-choice #first-order-logic #peano-axioms #nonstandard-models
404
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Does no non-standard model of Peano Arithmetic make the integers a principal ideal domain?

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#model-theory #proof-theory #peano-axioms
98
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Give a derivation in Peano Arithmetic

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#first-order-logic #peano-axioms
42
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Prove that it is a theorem

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#first-order-logic #peano-axioms
223
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Exercise in Peano Arithmetic

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#first-order-logic #peano-axioms
67
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Proof from axioms of $\mathsf{PA}$: every natural number has remainder $0$ or $1$ or $2$ when divided by $3$

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#logic #proof-verification #arithmetic #peano-axioms
511
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Connection between number theory and the Von Neumann construction of naturals

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#number-theory #elementary-set-theory #peano-axioms
94
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Prove that the system $(P, S, 0)$ satisfy Peano Axioms.

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#abstract-algebra #peano-axioms
46
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I'd like some clarification in this theorem proof.

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#logic #peano-axioms
419
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Decidability of quantifier-free formulae in Peano- and True Arithmetic

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#logic #reference-request #computability #peano-axioms #quantifier-elimination
7.9k
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What is an example of a non standard model of Peano Arithmetic?

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#logic #model-theory #peano-axioms #nonstandard-models

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