Set Theory Courses and Certifications

Prove It: The Art of Mathematical Argument

44 ratings at The Great Courses Plus

Experience the thrilling pursuit of a mathematical proof in this course suitable for everyone from high school students to math lovers.

• The Great Courses Plus
• 12 hours 19 minutes
• Self-Paced
• Free Trial Available

Fuzzy Mathematics: The Basics

Learn the foundations of fuzzy mathematics, from fuzzy sets and operators to cuts, resolution principles, representation, and extension principles.

• XuetangX
• Self-Paced
• Free Online Course

Math Foundation

Build mathematical maturity through logic, sets, functions, relations, proof techniques, geometric intuition, and mathematical writing.

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

CEC;  Farook College

Logic And Sets

Introduces mathematical logic and set theory as foundations for abstract mathematical reasoning.

• Swayam
• 15 weeks
• Available until Oct 31, 2026
• Free Online Course

Discrete Mathematics

A problem-driven discrete mathematics course organized around knowledge structures and experiments connecting logic, sets, algebra, and graph theory.

• XuetangX
• Self-Paced
• Free Online Course

Reasoning with Logic

Exercise your rationality and learn the mathematical dialects of logic.

• Brilliant
• 4 hours
• Self-Paced
• Paid Course

MA111: Introduction to Mathematical Reasoning

Learn to construct mathematical proofs while working through logic, sets, number theory, rational numbers, mathematical induction, relations and functions, and combinatorics.

• Saylor University
• 112 hours
• Self-Paced
• Free Certificate

Maths for Programmers Tutorial - Full Course on Sets and Logic

An introduction to discrete mathematics for programmers covering set operations, laws, propositions, truth tables, quantifiers, conditional statements, and tautologies.

• freeCodeCamp
• 1-2 hours
• Self-Paced
• Free Video

Discrete Mathematics

1 rating

Builds discrete mathematics foundations through worked examples of sets and relations, including how relation properties compare.

• YouTube
• 3 hours 30 minutes
• Self-Paced
• Free Video

Great Learning

Basics of Discrete Mathematics

1 rating

Introduces the foundational language of computer science through sets, relations, functions, counting principles, and propositional logic.

• YouTube
• 3 hours 42 minutes
• Self-Paced
• Free Video

Introduction to Real Numbers - Lecture 1

Discover the foundational concepts of real numbers and mathematical proof techniques in this introductory analysis lecture from MIT's rigorous mathematics curriculum.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

The Royal Institution

The Story of Mathematical Proof - From Ancient Greece to Modern Logic

From Greek geometric proofs to Cantor’s diagonal argument, John Stillwell traces how proof reshaped mathematics and connects logic, algebra, and computation.

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

Michael Penn

"Infinite" Arithmetic: Strange Properties and Paradoxes

Explore the peculiarities of "infinite" arithmetic, uncovering counterintuitive concepts and challenging traditional mathematical thinking.

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

Wrath of Math

The Density of Prime Numbers - A Mathematical Proof

Delve into an elementary proof demonstrating how prime numbers become increasingly sparse, exploring key mathematical concepts like the Prime Number Theorem and density of primes through clear step-by-step analysis.

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

Michael Penn

The Best Proof That the Real Numbers Are Uncountable

Discover the most elegant and compelling proof demonstrating why real numbers cannot be countable in this mathematical exploration of Cantor's diagonal argument.

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