In Paradox and Infinity we will study a cluster of puzzles, paradoxes and intellectual wonders, and discuss their philosophical implications.
The class is divided into three modules:
- Time Travel and Free Will: Learn about whether time travel is logically possible, and whether it is compatible with free will.
- Infinity: Learn about how some infinities are bigger than others, and explore the mind-boggling hierarchy of bigger and bigger infinities.
- Computability and Gödel’s Theorem: Learn about how some mathematical functions are so complex, that no computer could possibly compute them. Use this result to prove Gödel’s famous Incompleteness Theorem.
Bonus: If you sign up to pursue a Verified Certificate for this class, you will be assigned problems that are graded by teaching assistants, and given professional written feedback. This will bring your learning experience one level closer to that of residential students at MIT. If you pass the class, you will receive an MITx certificate, in addition to edX's Verified Certificate of Achievement.