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15
Math.TechQA.Club
2026-03-26 12:38:34
603
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Is it possible to derive the axiom of induction from a construction of the natural numbers?
Published on
26 Mar 2026 - 12:38
#logic
#peano-axioms
#type-theory
#meta-math
#second-order-logic
327
Views
A finitely axiomatizable consistent second-order theory without a model
Published on
09 Apr 2026 - 7:16
#logic
#examples-counterexamples
#model-theory
#second-order-logic
135
Views
Finitely axiomatized second-order theory without a model, which is consistent for reasonable deductive systems
Published on
09 Apr 2026 - 9:08
#logic
#examples-counterexamples
#model-theory
#second-order-logic
292
Views
Swapping first- and second-order quantifiers
Published on
01 Apr 2026 - 14:05
#logic
#axiom-of-choice
#quantifiers
#second-order-logic
337
Views
Fantasy rule of propositional logic in first order logic
Published on
02 Jul 2017 - 0:13
#propositional-calculus
#first-order-logic
#second-order-logic
1.6k
Views
Second-order logic as the basis for set theory
Published on
12 Jul 2017 - 16:50
#set-theory
#first-order-logic
#second-order-logic
80
Views
What is the relevance of the fact that the completeness axiom for R needs to be stated in second-order logic?
Published on
23 Aug 2017 - 10:48
#real-analysis
#logic
#second-order-logic
248
Views
Why do we need second-order logic?
Published on
05 Apr 2026 - 19:15
#peano-axioms
#second-order-logic
86
Views
Boolean algebras and a language with quantification over ideals
Published on
20 Oct 2017 - 21:07
#logic
#reference-request
#model-theory
#second-order-logic
1.4k
Views
Differentiating First/Second order logic
Published on
06 Apr 2026 - 6:32
#logic
#predicate-logic
#first-order-logic
#second-order-logic
197
Views
Equivalence of statements over $RCA_0$
Published on
25 Mar 2026 - 17:22
#proof-verification
#induction
#alternative-proof
#reverse-math
#second-order-logic
78
Views
Relation between $WKL$ and $KL$ over $RCA_0$
Published on
25 Mar 2026 - 17:18
#proof-verification
#fake-proofs
#reverse-math
#second-order-logic
159
Views
How to expand second-order ZFC to include classes?
Published on
26 Mar 2026 - 14:19
#logic
#set-theory
#axioms
#meta-math
#second-order-logic
348
Views
Relation between consistency of ZF, MK and NBG
Published on
13 Jan 2018 - 4:17
#logic
#set-theory
#second-order-logic
147
Views
Can we blend logic and set theory into ONE system?
Published on
09 Apr 2026 - 18:06
#logic
#set-theory
#first-order-logic
#higher-order-logic
#second-order-logic
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