Calculate the intersection, union and difference of sets.
Prove two sets are equal.
Apply basic axioms of Zermelo-Fraenkel set theory.
Why this is important:
Set theory has become entrenched as the basic language with which all mathematics can be discussed. While there are more estranged parts of set theory that will likely be irrelevant to you, a fluency in the basic materials of set theory is necessary to understand more advanced mathematics.
Hypothesis: many more people would sign up for this course if there were a way to sample the content before signing up (given that the course material is good).
Followup to Fundamentals of Formalisation level 1: Basic Logic
Basic Set Theory
The big ideas:
To move to the next level you need to be able to:
Why this is important:
Set theory has become entrenched as the basic language with which all mathematics can be discussed. While there are more estranged parts of set theory that will likely be irrelevant to you, a fluency in the basic materials of set theory is necessary to understand more advanced mathematics.
You can find the lesson on our course platform. Good luck!