Paradox and Infinity from Massachusetts Institute of Technology
In Paradox and Infinity, you will be introduced to highlights from the intersection of philosophy and mathematics.
The class is divided into three modules:
- Infinity: Learn about how some infinities are bigger than others, and explore the mind-boggling hierarchy of bigger and bigger infinities.
- Time Travel and Free Will: Learn about whether time travel is logically possible, and whether it is compatible with free will.
- 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.
Paradox and Infinity is a math-heavy class, which presupposes that you feel comfortable with college-level mathematics and that you are familiar with mathematical proofs.
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