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15
Math.TechQA.Club
2026-04-11 11:53:48
171
Views
Induction with two variables in PA
Published on
11 Apr 2026 - 11:53
#logic
#induction
#peano-axioms
#formal-proofs
100
Views
Show that first order Peano's axioms capture the natural numbers regarding satisfiablity
Published on
15 Apr 2026 - 0:26
#logic
#arithmetic
#first-order-logic
#axioms
#peano-axioms
183
Views
Is Peano arithmetic complete for quantifier free formulas and strict arithmetical formulas?
Published on
12 Apr 2026 - 21:27
#peano-axioms
164
Views
$a < b$ and $c<d$ imply $a+c < b+d$
Published on
16 Apr 2026 - 21:46
#proof-verification
#inequality
#proof-writing
#peano-axioms
#natural-numbers
394
Views
Peano Axiom Proofs: Proving $a < b$, if and only if $a + + \leq b$
Published on
14 Apr 2026 - 9:10
#proof-verification
#elementary-set-theory
#proof-writing
#peano-axioms
98
Views
A property of representable functions?
Published on
11 Apr 2026 - 11:55
#first-order-logic
#peano-axioms
320
Views
How should this proof of the associativity of natural number addition be understood?
Published on
14 Apr 2026 - 9:59
#elementary-number-theory
#elementary-set-theory
#proof-explanation
#peano-axioms
67
Views
Is this sufficient to prove the associativity of natural number addition?
Published on
13 Apr 2026 - 12:00
#proof-verification
#induction
#peano-axioms
#natural-numbers
46
Views
Why natural numbers are generalized in $\mathbb{Z}$ to ensure the group structure respect to the sum?
Published on
11 Apr 2026 - 2:36
#peano-axioms
1.2k
Views
How do Peano Axioms imply "nextness" with the successor?
Published on
12 Apr 2026 - 7:30
#peano-axioms
186
Views
Consistency of PA from a Formalist Perspective
Published on
10 May 2026 - 17:19
#logic
#foundations
#incompleteness
#peano-axioms
299
Views
Is it necessary to prove uniqueness of Peano addition?
Published on
14 Apr 2026 - 15:27
#elementary-set-theory
#arithmetic
#peano-axioms
173
Views
A (quantifier-free) is true in standard model of PA ==> PA |- A ??
Published on
14 Apr 2026 - 16:45
#peano-axioms
84
Views
Axiomatizing a "bounded" companion to PA
Published on
08 Apr 2026 - 17:03
#logic
#model-theory
#proof-theory
#peano-axioms
177
Views
How did mathematicans prove things before ZFC or Peano
Published on
11 Apr 2026 - 4:51
#math-history
#foundations
#peano-axioms
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