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15
Math.TechQA.Club
2022-01-01 17:44:15
124
Views
How to show that this set is finite?
Published on
01 Jan 2022 - 17:44
#combinatorics
#elementary-set-theory
#natural-numbers
92
Views
Construction of $g:\mathbb{N}\rightarrow\mathbb{N}$ surjective, such that $g^{-1}(n)=\infty,\;\forall n\in\mathbb{N}$
Published on
01 Jan 2022 - 22:40
#functions
#examples-counterexamples
#natural-numbers
162
Views
Unboundedness of infinite subsets of natural numbers
Published on
03 Jan 2022 - 6:37
#elementary-set-theory
#natural-numbers
19
Views
Doubt on the second step of the induction principle
Published on
04 Jan 2022 - 9:59
#solution-verification
#induction
#natural-numbers
87
Views
Interesting examples of first-order, one-sorted proper extensions of PA
Published on
29 Mar 2026 - 20:55
#logic
#first-order-logic
#axioms
#natural-numbers
#peano-axioms
176
Views
Finding an infinite union of disjoint infinite sets to add up to natural numbers
Published on
07 Jan 2022 - 17:40
#solution-verification
#prime-numbers
#natural-numbers
167
Views
First order logic: if A sentence is satisfiable then it is satisfiable in the natural number + even function
Published on
27 Mar 2026 - 15:36
#logic
#first-order-logic
#model-theory
#natural-numbers
#satisfiability
63
Views
On the equivalence of well-orderering and mathematical induction principles
Published on
10 Jan 2022 - 20:34
#set-theory
#natural-numbers
46
Views
For any set $S_n=\{x \in \mathbb N \ |\ x \lt n \in \mathbb N \}$, there exists a bijection $f_n: S_n \to \{1,2,\cdots,n-1\}$
Published on
12 Jan 2022 - 20:20
#solution-verification
#natural-numbers
94
Views
I can't prove $U_{n} \geq 1$
Published on
19 Jan 2022 - 18:55
#calculus
#inequality
#induction
#natural-numbers
56
Views
Simple function for enumerating bisections of $[0,1]$
Published on
20 Jan 2022 - 3:44
#rational-numbers
#natural-numbers
59
Views
Is there a number system base $a$ where $2018$ can be written as $\overline{21312}^{a}$ in it?
Published on
30 Mar 2026 - 12:40
#calculus
#natural-numbers
#number-systems
35
Views
Proof of completeness of the set of natural numbers
Published on
24 Jan 2022 - 19:18
#real-analysis
#supremum-and-infimum
#natural-numbers
56
Views
Describing $\mathbb{N}$ with multiples of $4\mathbb{N}$
Published on
26 Jan 2022 - 1:56
#elementary-set-theory
#natural-numbers
182
Views
Halmos's set theory If $E$ is a non-empty set of natural numbers, exists some $k$ in $E$ such that $k \leqq m$ for all $m\in E$. Prove by intersection
Published on
29 Mar 2026 - 21:02
#set-theory
#natural-numbers
#peano-axioms
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