Set Theory
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199
Author has not completed a profile
Followers: 0
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MATHEMATICS
Set Theory Axiom of Choice
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Infinite selections made possible by a single bold assumption
21 hours ago
Why was the axiom of choice introduced in set theory?

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Steeeve
Steeeve is an IT guru
Followers: 4
Lifetime Tokens: 108
MATHEMATICS
Set Theory Cantor's Diagonal Argument
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A single clever twist revealed multiple sizes of infinity, reshaping mathematics forever
2 days ago
What fundamental insight does Cantor's diagonal argument provide about infinite sets?

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199
Author has not completed a profile
Followers: 0
Lifetime Tokens: 0
MATHEMATICS
Set Theory Well-Ordering Theorem
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Infinite sets hide an order so strict it defies everyday intuition
5 days ago
Why is the axiom of choice essential for the well-ordering theorem?

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FordMotor
Ford makes good cars for great people. This is the page for our new F1 team.
Followers: 7
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MATHEMATICS
Set Theory Zermelo–Fraenkel Set Theory with Choice (ZFC)
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A single axiom transformed the foundations of mathematics and resolved paradoxes
7 days ago
Why is the axiom of choice considered essential in Zermelo–Fraenkel set theory with choice (ZFC)?

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199
Author has not completed a profile
Followers: 0
Lifetime Tokens: 0
MATHEMATICS
Set Theory Axiom of Choice
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A single axiom unlocks infinite selections without explicit rules
8 days ago
Why does the axiom of choice challenge traditional notions of constructibility in mathematics?


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FordMotor
Ford makes good cars for great people. This is the page for our new F1 team.
Followers: 7
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MATHEMATICS
Mathematical Logic Set Theory
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Infinite sizes revealed by simple collections reshaped mathematical thought
10 days ago
What major challenge did set theory overcome that allowed mathematics to rigorously handle infinity?

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Johnbarrow
John from Bartow
Followers: 5
Lifetime Tokens: 0
MATHEMATICS
Set Theory Power Set
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Power sets reveal all possible combinations of elements within any given set
3 Feb 2026
If a set S has 4 elements, how many elements does its power set P(S) contain?

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Johnbarrow
John from Bartow
Followers: 5
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Bb115
Books and cars
Followers: 7
Lifetime Tokens: 0
MATHEMATICS
Set Theory Subsets
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Subsets define the fundamental inclusion relationship between sets in mathematics
30 Jan 2026
What distinguishes a proper subset from a subset in set theory?

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Bb115
Books and cars
Followers: 7
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MATHEMATICS
Mathematical Logic Set Theory
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Set theory forms the foundational language that underpins all modern mathematics
26 Jan 2026
Which of the following concepts is NOT typically studied within set theory?


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JOHN_BASH
Expert in mushrooms and fungi
Followers: 1,205
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MATHEMATICS
Set Theory Infinite Cardinal Numbers
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Exploring the hierarchy of infinite cardinal numbers reveals diverse sizes of infinity
23 Jan 2026
What does the infinite cardinal number ℵ₀ (aleph-null) specifically represent in set theory?

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FordMotor
Ford makes good cars for great people. This is the page for our new F1 team.
Followers: 7
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MATHEMATICS
Set Theory Axiom Schema of Specification
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How the Comprehension Principle Shapes Modern Set Theory by Defining Subsets Safely
23 Jan 2026
Why does the axiom schema of specification restrict comprehension to subsets of an existing set rather than allowing arbitrary set formation?

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JOHN_BASH
Expert in mushrooms and fungi
Followers: 1,205
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MATHEMATICS
Set Theory Infinite Cardinal Numbers
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Exploring the hierarchy of infinite cardinal numbers reveals the vast landscape of different infinities
21 Jan 2026
What does the infinite cardinal number ℵ₀ (aleph-null) specifically represent in set theory?

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FordMotor
Ford makes good cars for great people. This is the page for our new F1 team.
Followers: 7
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MATHEMATICS
Set Theory Uncountable Set
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Exploring the vastness of uncountable sets reveals infinities beyond counting
20 Jan 2026
What key property distinguishes an uncountable set from a countable infinite set?

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JOHN_BASH
Expert in mushrooms and fungi
Followers: 1,205
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MATHEMATICS
Set Theory Large Cardinals
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Exploring the vast infinities of large cardinals reveals the limits of standard set theory
19 Jan 2026
Why are large cardinal axioms considered extensions beyond the standard ZFC axioms in set theory?


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JOHN_BASH
Expert in mushrooms and fungi
Followers: 1,205
Lifetime Tokens: 0
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FordMotor
Ford makes good cars for great people. This is the page for our new F1 team.
Followers: 7
Lifetime Tokens: 0
MATHEMATICS
Set Theory Cantor's Diagonal Argument
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Cantor's diagonal argument reveals multiple sizes of infinity beyond natural numbers
10 Jan 2026
What is the key step in Cantor's diagonal argument that proves the existence of uncountable sets?

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JOHN_BASH
Expert in mushrooms and fungi
Followers: 1,205
Lifetime Tokens: 0
MATHEMATICS
Mathematical Logic Set Theory
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Set theory forms the foundational language of modern mathematics and explores the infinite
21 Nov 2025
What was the primary reason for the development of axiomatic set theory like Zermelo–Fraenkel set theory?

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