Set Theory Courses and Certifications

Wrath of Math

Set Theory

A large collection of worked set theory proofs develops identities and subset relationships from basic set operations.

• YouTube
• 9 hours 34 minutes
• Self-Paced
• Free Video

Insights into Mathematics

Computability and Problems with Set Theory - Math History

A historical look at how disputes over infinite sets and formal systems shaped set theory and the development of computability.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

METUopencouseware

Set Theory

2 ratings

A university lecture series focused on set theory across 14 numbered lecture units.

• YouTube
• 1 day 5 hours
• Self-Paced
• Free Video

Wrath of Math

The Endless Suffering of Power Sets - Understanding Set Theory

Learn how to write a set’s power set and determine its cardinality by counting the set’s subsets.

• YouTube
• 14 minutes
• Self-Paced
• Free Video

Neso Academy

Discrete Mathematics

23 ratings

Builds discrete mathematics foundations through formal logic, set and relation theory, and worked problems on partial orders and lattices.

• YouTube
• 17 hours 11 minutes
• Self-Paced
• Free Video

Infinity: Mathematics, History, Philosophy (Live Online)

33 ratings at CourseHorse

Explore how humans have tried to understand the infinite—from ancient paradoxes to modern mathematical breakthroughs.

• CourseHorse
• 12 hours
• Self-Paced
• $335.00

Bases Matemáticas: Números y terminología

102 ratings

Se revisan los conceptos básicos de conjuntos, la terminología básica y las propiedades fundamentales de los números (reales y complejos).

• edX
• 4 weeks, 3-4 hours a week
• Self-Paced
• Free Online Course (Audit)

• Best of All Time

Discrete Math for Computer Science - Logic & Set Theory

Learn propositional and predicate logic, truth tables, quantifiers, rules of inference, proof by contradiction and contraposition, plus sets, functions, power sets and cardinality.

• Coursera
• 5 weeks, 2 hours a week
• Self-Paced
• Paid Course

Simple Snippets

Fuzzy Logic and Fuzzy Set Theory - Concepts and Examples

1 rating

Explains how fuzzy sets and membership values support reasoning under uncertainty, from set operations and relations to inference and defuzzification.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

Discrete Math: Sets and Set Operations

35 ratings at Codecademy

Set theory basics and set operations taught with Python code, showing how sets underpin computer science and data science work.

• Codecademy
• 1 hour
• Self-Paced
• Free Trial Available

Insights into Mathematics

Review of Sets and Functions - Probability and Statistics Introduction

An opening probability lecture refreshes set notation, set operations, inclusion–exclusion, partitions, and basic facts about functions.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

IIT Hyderabad;  NPTEL

Approximate Reasoning using Fuzzy Set Theory

Explores the theoretical foundations of approximate reasoning with fuzzy sets, including fuzzy connectives, inference mechanisms, and fuzzy inference systems.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

Ryan O'Donnell

Great Ideas in Theoretical Computer Science: Countability and Diagonalization

Explore countability and diagonalization through cardinality, bijections, infinite sets, and uncomputable real numbers.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Insights into Mathematics

Sets and Other Data Structures - Data Structures in Mathematics

Introduces lists, ordered sets, multisets, and sets by distinguishing whether structures are ordered and whether repetitions are allowed.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

Math Sorcerer

Proving That the Set of Odd Positive Integers is Countable

Master mathematical proof techniques by exploring how to demonstrate the countability of odd positive integers through bijective function mapping.

• YouTube
• 12 minutes
• Self-Paced
• Free Video