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.
MOOCs stand for Massive Open Online Courses. These arefree online courses from universities around the world (eg. StanfordHarvardMIT) offered to anyone with an internet connection.
How do I register?
To register for a course, click on "Go to Class" button on the course page. This will take you to the providers website where you can register for the course.
How do these MOOCs or free online courses work?
MOOCs are designed for an online audience, teaching primarily through short (5-20 min.) pre recorded video lectures, that you watch on weekly schedule when convenient for you. They also have student discussion forums, homework/assignments, and online quizzes or exams.