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Math · Advanced
Infinity
Infinity breaks everyday intuition. A full hotel can take in infinitely many new guests, there are exactly as many even numbers as whole numbers, and yet some infinities are strictly bigger than others. Follow Cantor's astonishing arguments step by step, squash a square into a line, and explore a set with no length but uncountably many points.
7 lessons~40 min0/7 complete
Start courseHelpful background: Logic & Proof
1
Counting Forever
When “same size” means pairing up.
2
Bigger Infinities
Cantor’s diagonal argument.
3
Strange Sets
Squares, lines and dust.