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15
Math.TechQA.Club
2026-04-12 04:40:21
98
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What is Complete Induction without Hypothesis?: Ordering of $\mathbb{N}$ from Peano's Axioms
Published on
12 Apr 2026 - 4:40
#number-theory
#proof-writing
#induction
#proof-explanation
#peano-axioms
943
Views
Existence of Natural Numbers as an Axiom
Published on
10 May 2026 - 18:06
#set-theory
#axioms
#foundations
#peano-axioms
#type-theory
149
Views
Why Presburger arithmetic cannot prove pigeonhole principle
Published on
29 Apr 2026 - 12:46
#logic
#peano-axioms
#provability
#presburger-arithmetic
811
Views
Does Gödel's incompleteness theorem invoke a Law of Excluded Middle contradiction?
Published on
10 May 2026 - 15:13
#logic
#proof-theory
#incompleteness
#peano-axioms
490
Views
Bijection between two Peano triples.
Published on
11 Apr 2026 - 19:25
#functions
#peano-axioms
#natural-numbers
258
Views
Can every true arithmetical sentence be proved from the first-order Peano arithmetic system?
Published on
14 Apr 2026 - 18:58
#first-order-logic
#model-theory
#peano-axioms
688
Views
Well-orders on non-standard models of Peano arithmetic
Published on
15 Apr 2026 - 23:37
#first-order-logic
#peano-axioms
284
Views
Using the Definition of Dedekind-Infinite to Replace the Axiom of Infinity
Published on
10 Apr 2026 - 10:32
#set-theory
#infinity
#axioms
#peano-axioms
450
Views
Can we prove that the peano axioms are true for $(\mathbb N, \sigma)$ in type theory?
Published on
17 Apr 2026 - 13:35
#logic
#peano-axioms
#type-theory
671
Views
What is the best book to learn Peano Arithmetic
Published on
13 Apr 2026 - 1:22
#arithmetic
#book-recommendation
#peano-axioms
142
Views
Definition of nonstandard models without enumerations
Published on
12 Apr 2026 - 14:56
#set-theory
#first-order-logic
#peano-axioms
53
Views
Why do we need the following set to have an infinite set?
Published on
12 Apr 2026 - 2:56
#definition
#infinity
#axioms
#peano-axioms
303
Views
Algebraically Constructing the Natural Numbers Using a Binary Operation Satisfying Some Properties
Published on
14 Apr 2026 - 9:18
#abstract-algebra
#proof-verification
#logic
#peano-axioms
2.3k
Views
Difference between first and second order induction?
Published on
13 Apr 2026 - 1:01
#logic
#induction
#definition
#peano-axioms
915
Views
proof of formula with Peano-axioms
Published on
09 Apr 2026 - 18:54
#logic
#propositional-calculus
#predicate-logic
#proof-theory
#peano-axioms
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