Defining Numbers & Functions Using SET THEORY // Foundations of Mathematics

We are all familiar with numbers and functions....but are these the most basic, most foundational concept in mathematics? Mathematicians use set theory as the basic building blocks of so much of math. In this video we are going to see how we can think of numbers and functions in terms of sets. 0:00 The Definition Problem 1:44 Set Theory 3:50 Numbers in Set Theory 6:48 Functions in Set Theory COURSE PLAYLISTS: ►CALCULUS I:    • Calculus I (Limits, Derivative, Integrals)...   ► CALCULUS II:    • Calculus II (Integration Methods, Series, ...   ►MULTIVARIABLE CALCULUS (Calc III):    • Calculus III: Multivariable Calculus (Vect...   ►DIFFERENTIAL EQUATIONS (Calc IV):    • How to solve ODEs with infinite series | I...   ►DISCRETE MATH:    • Discrete Math (Full Course: Sets, Logic, P...   ►LINEAR ALGEBRA:    • Linear Algebra (Full Course)   OTHER PLAYLISTS: ► Learning Math Series    • 5 Tips To Make Math Practice Problems Actu...   ►Cool Math Series:    • Cool Math Series   BECOME A MEMBER: ►Join:    / @drtrefor   MATH BOOKS & MERCH I LOVE: ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett SOCIALS: ►Twitter (math based):   / treforbazett   ►Instagram (photography based):   / treforphotography