Jun 9th 2015

Paradox and Infinity (edX)

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An introduction to highlights from the technical side of philosophy--from the higher infinite to Gödel's Theorem.

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.