Set Theory Courses and Certifications

How to Write Proofs in Set Theory with the Math Sorcerer

273 ratings at Udemy

Master fundamental proof-writing techniques in set theory, from basic definitions to advanced concepts like cardinality. Learn mathematical notation, set operations, and various proof methods through clear, step-by-step demonstrations.

• Udemy
• 1 hour 54 minutes
• On-Demand
• Paid Course

METUopencouseware

Set Theory

2 reviews

Comprehensive exploration of set theory fundamentals, covering key concepts and principles through structured lectures. Ideal for mathematics students seeking a deep understanding of this foundational topic.

• YouTube
• 1 day 5 hours
• On-Demand
• Free Video

IIT Delhi;  NPTEL

Introduction to Fuzzy Set Theory, Arithmetic and Logic

Explore fuzzy set theory and logic, covering operations, arithmetic, relations, and inference. Learn to represent and reason with uncertainty in decision-making applications.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

IIT Hyderabad;  NPTEL

Approximate Reasoning using Fuzzy Set Theory

Explore fuzzy set theory and its applications in approximate reasoning, covering connectives, inference mechanisms, and properties of fuzzy inference systems for data analysis and control.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

IIT Kanpur;  NPTEL

Set Theory and Mathematical Logic

Explore set theory and mathematical logic, covering infinities, axiom of choice, syntax vs semantics, and Boolean algebras. Gain foundational knowledge applicable to various mathematical theories.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Jeremy Klassen

Probability and Set Theory

Comprehensive review of probability and set theory concepts, including Venn diagrams, events, odds, and extensive practice problems for Math 30-2 level students.

• YouTube
• 6 hours
• On-Demand
• Free Video

Insights into Mathematics

Boolean Algebra and Set Theory - Math Foundations - N J Wildberger

Explore Boolean algebra, set theory, and Venn diagrams. Learn about De Morgan's laws, distributive properties, and their proofs using truth tables and Boole's algebra.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Insights into Mathematics

The Essential Dichotomy Underlying Mathematics - Data Structures Math Foundations

Explore the fundamental dichotomy underlying mathematics, challenging traditional views on natural numbers and geometry to uncover the core essence of mathematical thinking.

• YouTube
• 21 minutes
• On-Demand
• Free Video

Insights into Mathematics

What Exactly Is a Set - Data Structures in Mathematics Math Foundations

Explores the concept of sets in mathematics, discussing definitions, challenges, and criticisms of modern set theory. Examines everyday usage, examples, and foundational issues in mathematical logic.

• YouTube
• 35 minutes
• On-Demand
• Free Video

Insights into Mathematics

Sets, Logic and Computability - Math History - NJ Wildberger

Overview of set theory, logic, and computability in late 19th/early 20th century math, covering Cantor's work, Dedekind's constructions, paradoxes, and philosophical schools addressing foundational issues.

• YouTube
• 53 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Extremal Set Theory - Andrey Kupavskii

Explore extremal set theory with Andrey Kupavskii, covering shifting techniques, partial orders, and the Katniss Theorem. Gain insights into minimizing shadows and analyzing complex cases in discrete mathematics.

• YouTube
• 1 hour 52 minutes
• On-Demand
• Free Video

Fields Institute

World Logic Day - Set Theory Seminar Series Extended

Explore advanced topics in set theory with expert speakers, covering topological generalizations, compact-valued functions, countable models, torus flows, and infinitesimals in probability theory.

• YouTube
• 2 hours 4 minutes
• On-Demand
• Free Video

International Mathematical Union

Ramsey Theory of Homogeneous Structures

Explore Ramsey theory on infinite structures, focusing on homogeneous structures. Learn about recent developments, methodologies, and ongoing research in this complex area of mathematics.

• YouTube
• 44 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Harry Altman- Lower Sets in Products of Well Ordered Sets

Explore well partial orders, lower sets in products of ordinals, and weakly decreasing sequences. Gain insights into maximum linearizations and the surreal exponential.

• YouTube
• 33 minutes
• On-Demand
• Free Video

Michael Penn

Basic Proofs Involving Sets

Learn techniques for proving fundamental set theory results, enhancing your mathematical reasoning skills and deepening your understanding of set operations and relationships.

• YouTube
• 22 minutes
• On-Demand
• Free Video