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15
Math.TechQA.Club
2026-04-09 18:26:08
64
Views
Is many-sorted logic compact?
Published on
09 Apr 2026 - 18:26
#logic
#first-order-logic
48
Views
How to prove these three properties about sets?
Published on
21 Nov 2023 - 15:42
#elementary-set-theory
#first-order-logic
115
Views
Is there a first-order sentence defining a cardinal?
Published on
11 Apr 2026 - 4:32
#set-theory
#first-order-logic
1.1k
Views
Understanding ZFC
Published on
08 Apr 2026 - 19:46
#set-theory
#first-order-logic
#foundations
76
Views
Axiomatizing ZFC+Con(ZFC) without adding a constant symbol
Published on
10 Apr 2026 - 18:25
#elementary-set-theory
#first-order-logic
76
Views
Proof that Skolem Arithmetic is a complete theory
Published on
11 Apr 2026 - 7:09
#reference-request
#first-order-logic
62
Views
Why is the cardinality of a first-order language max{$\aleph_0, k$}?
Published on
03 Apr 2026 - 1:36
#logic
#first-order-logic
#model-theory
100
Views
Count the number of non-isomorphic models for a theory $T$ describing infinitely branching equivalence classes, each class infinite
Published on
03 Apr 2026 - 1:40
#logic
#first-order-logic
#model-theory
#equivalence-relations
126
Views
Prove that divisibility between two natural numbers is not definable in arithmetic
Published on
11 Apr 2026 - 7:11
#arithmetic
#first-order-logic
#model-theory
#quantifier-elimination
65
Views
$tp^\mathbb{Q}(a/\mathbb N) = tp^\mathbb{Q}(b/\mathbb N)$ iff there is an automorphism $\sigma$ of $\mathbb Q$ fixing $\mathbb N$ and $\sigma(a)=b$
Published on
03 Apr 2026 - 1:39
#logic
#first-order-logic
#model-theory
25
Views
How to prove equal cardinality of arbitrary subset and its closure, in this proof of downward Löwenheim-Skolem theorem?
Published on
29 Nov 2023 - 17:29
#first-order-logic
37
Views
Question on substitution
Published on
11 Apr 2026 - 0:17
#first-order-logic
#substitution
84
Views
Expand a model to have a well ordering. Prove that the set of all definable elements over a subset $X$ is the universe of an elementary substructure
Published on
03 Apr 2026 - 3:21
#logic
#first-order-logic
#model-theory
85
Views
Basic proof verification of biconditional formula
Published on
09 Apr 2026 - 14:05
#logic
#solution-verification
#proof-writing
#first-order-logic
40
Views
How to rigorously prove that if $A\times B\neq\emptyset$ then $(A\times B\subset X\times Y)\iff(A\subset X)\land (B\subset Y)$?
Published on
03 Apr 2026 - 20:34
#elementary-set-theory
#solution-verification
#first-order-logic
#predicate-logic
#alternative-proof
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