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15
Math.TechQA.Club
2026-03-25 08:07:04
169
Views
Induction with two variables in PA
Published on
25 Mar 2026 - 8:07
#logic
#induction
#peano-axioms
#formal-proofs
97
Views
Show that first order Peano's axioms capture the natural numbers regarding satisfiablity
Published on
05 Dec 2018 - 15:06
#logic
#arithmetic
#first-order-logic
#axioms
#peano-axioms
180
Views
Is Peano arithmetic complete for quantifier free formulas and strict arithmetical formulas?
Published on
07 Dec 2018 - 9:34
#peano-axioms
161
Views
$a < b$ and $c<d$ imply $a+c < b+d$
Published on
07 Dec 2018 - 15:31
#proof-verification
#inequality
#proof-writing
#peano-axioms
#natural-numbers
391
Views
Peano Axiom Proofs: Proving $a < b$, if and only if $a + + \leq b$
Published on
21 Dec 2018 - 16:53
#proof-verification
#elementary-set-theory
#proof-writing
#peano-axioms
95
Views
A property of representable functions?
Published on
02 Jan 2019 - 12:49
#first-order-logic
#peano-axioms
317
Views
How should this proof of the associativity of natural number addition be understood?
Published on
07 Jan 2019 - 10:48
#elementary-number-theory
#elementary-set-theory
#proof-explanation
#peano-axioms
65
Views
Is this sufficient to prove the associativity of natural number addition?
Published on
09 Jan 2019 - 9:06
#proof-verification
#induction
#peano-axioms
#natural-numbers
43
Views
Why natural numbers are generalized in $\mathbb{Z}$ to ensure the group structure respect to the sum?
Published on
14 Jan 2019 - 20:15
#peano-axioms
1.2k
Views
How do Peano Axioms imply "nextness" with the successor?
Published on
18 Jan 2019 - 17:13
#peano-axioms
183
Views
Consistency of PA from a Formalist Perspective
Published on
25 Mar 2026 - 4:39
#logic
#foundations
#incompleteness
#peano-axioms
296
Views
Is it necessary to prove uniqueness of Peano addition?
Published on
29 Jan 2019 - 11:29
#elementary-set-theory
#arithmetic
#peano-axioms
170
Views
A (quantifier-free) is true in standard model of PA ==> PA |- A ??
Published on
29 Jan 2019 - 15:27
#peano-axioms
81
Views
Axiomatizing a "bounded" companion to PA
Published on
08 Feb 2019 - 22:04
#logic
#model-theory
#proof-theory
#peano-axioms
174
Views
How did mathematicans prove things before ZFC or Peano
Published on
13 Feb 2019 - 18:51
#math-history
#foundations
#peano-axioms
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