Set Theory

What's a Set? Your First Collection!

Inside the Set: Elements and Members

Tiny Teams: Subsets & Super Sets

The Empty Box & The Universe of Everything

Counting Our Treasures: Cardinality Fun!

Joining Forces: The 'OR' of Union

What's Left Out? The Complement Crew

Meeting in the Middle: The 'AND' of Intersection

What's Left Over? The Difference & Symmetric Difference

Drawing Our Sets: Adventures with Venn Diagrams

All the Possible Groupings: Unpacking Power Sets

Set Smart Sorting: Relations, Maps, and Functions

Infinity & Beyond: Comparing Giant Collections

Pairing Up: Building Ordered Tuples with Cartesian Products

Set Algebra: Unlocking Identities and De Morgan's Laws

Counting Smart: The Principle of Inclusion-Exclusion

Connecting the Dots: Equivalence Relations and Partitions

Ranking Our Elements: Order Relations (Partial & Total)

The Edge of Logic: Russell's Paradox and Axiomatic Set Theory (An Introduction)