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Intro to the Theory of Sets
Set Theory: Foundations and Key Concepts
Set Operations and Venn Diagrams
Relations and Functions in Set Theory
Equivalence Relations & Partial Orders
Axioms of Set Theory: ZFC System
Finite vs. Infinite Sets in Set Theory
Countable vs Uncountable Sets
Cardinal Numbers and Arithmetic
Ordinal Numbers & Transfinite Induction
Continuum Hypothesis: Implications & Impact
Set Paradoxes: Challenges and Solutions
Set Theory in Math and Computer Science
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Intro to the Theory of Sets
Browse all Intro to the Theory of Sets Key Terms
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(a, b)
{
{1, 2} ร {3, 4}
{a, b} ร {1, 2, 3}
|a ร b| = |a| ยท |b|
|a โช b|
|a|
}
ยฌ(a โฉ b)
ยฌ(a โช b)
ยฌa
ฮฑ
ฮฒ
ฯ
ฯ + 1
โตโ
โตโ (aleph-null)
โตโ
โ
โ
โ
โฉ
โช
โผ
โ
โ
2ฯ
A
A ร b
A โฉ b
A โช b
A'
A^c
Absorption laws
Absorption properties
Addition of cardinal numbers
Addition of cardinals
Aleph null
Aleph Numbers
Aleph-null
Aleph-null (โตโ)
Analytic sets
Antichain
Antisymmetric
Antisymmetry
Associative properties
Associative Property
Axiom of Choice
Axiom of Constructibility
Axiom of Dependent Choices
Axiom of Determinacy
Axiom of Empty Set
Axiom of Extensionality
Axiom of Foundation
Axiom of Infinity
Axiom of Pairing
Axiom of Power Set
Axiom of Regularity
Axiom of Separation
Axiom of Union
Axiom Schema of Replacement
Axiom Schema of Separation
Axiomatic Method
Axiomatic Set Theory
Axioms of Set Theory
B
Back-and-forth argument
Baire Category Theorem
Baire's Category Theorem
Banach-Tarski Paradox
Base case in induction
Basis for a topology
Bertrand Russell
Bijection
Bijective Function
Boolean-valued models
Burali-Forti Paradox
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About Us
About Fiveable
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Careers
Testimonials
Code of Conduct
Terms of Use
Privacy Policy
CCPA Privacy Policy
Resources
Cram Mode
AP Score Calculators
Study Guides
Practice Quizzes
Glossary
Crisis Text Line
Request a Feature
Report an Issue
ยฉ 2024 Fiveable Inc. All rights reserved.
APยฎ and SATยฎ are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.
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