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15
Math.TechQA.Club
2014-01-08 06:32:15
426
Views
Pseudo-finite field vs Nonstandard finite field
Published on
08 Jan 2014 - 6:32
#field-theory
#finite-fields
#model-theory
#peano-axioms
161
Views
Has anyone successfully axiomatized the category of finite sets? In such a way that the resulting theory is bi-interpretable with PA.
Published on
09 Jan 2014 - 15:25
#reference-request
#set-theory
#category-theory
#foundations
#peano-axioms
554
Views
Can A Decidable Theory Have Nonrecursive Models?
Published on
10 Jan 2014 - 2:21
#logic
#field-theory
#finite-fields
#model-theory
#peano-axioms
677
Views
How do we know that certain concrete nonstandard models of the natural numbers satisfy the Peano axioms?
Published on
25 Mar 2026 - 12:21
#logic
#reference-request
#model-theory
#peano-axioms
#nonstandard-models
126
Views
Existence proof of $x+y$ relying on commutativity?
Published on
18 Jan 2014 - 8:15
#arithmetic
#proof-verification
#peano-axioms
2.3k
Views
Definition of Successor function in Peano Axioms
Published on
19 Jan 2014 - 4:55
#logic
#peano-axioms
184
Views
Proving that Order for N is Anti-symmetric
Published on
21 Jan 2014 - 18:27
#logic
#arithmetic
#order-theory
#peano-axioms
1.1k
Views
Natural numbers in Set Theory
Published on
22 Jan 2014 - 13:46
#logic
#set-theory
#natural-numbers
#peano-axioms
767
Views
Any "natural" examples of true statements in number theory not provable in 2nd order systems?
Published on
26 Mar 2026 - 7:59
#logic
#incompleteness
#peano-axioms
#higher-order-logic
582
Views
Tennenbaum's theorem without overspill
Published on
25 Mar 2026 - 12:20
#model-theory
#computability
#peano-axioms
#nonstandard-models
1.7k
Views
Leaving out one of the Peano Axioms
Published on
27 Jan 2014 - 4:19
#examples-counterexamples
#peano-axioms
224
Views
Saturation, (Complete) Ordered Fields and Model-Theoretic Methods in relation to Real & Non-Standard Analysis
Published on
29 Jan 2014 - 0:19
#real-analysis
#model-theory
#peano-axioms
#nonstandard-analysis
366
Views
How to compare Peano numbers?
Published on
31 Jan 2014 - 18:20
#logic
#first-order-logic
#peano-axioms
52
Views
How to prove these problems? (Operation on N)
Published on
17 Feb 2014 - 7:35
#natural-numbers
#peano-axioms
306
Views
Reflection schema for PA
Published on
19 Feb 2014 - 21:21
#logic
#peano-axioms
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