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Paradox and Infinity

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.

Learners who display exceptional performance in the class are eligible to win the MITx Philosophy Award. (High-School students are eligible for both the MITx Philosophy Award and the MITx High School Philosophy Award.) Please see the FAQ section below for additional information.

Note: learners who do well in Paradox will have typically taken at least a couple of college-level classes in mathematics or computer science. On the other hand, Paradox does not presuppose familiarity with any particular branch of mathematics or computer science. You just need to feel comfortable in a mathematical setting.

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Massachusetts Institute of Technology

Rating 4.2 based on 5 ratings
Length 12 weeks
Effort 5 - 6 hours per week
Starts Jun 18 (13 weeks ago)
Cost $99
From Massachusetts Institute of Technology, MITx via edX
Instructors Agustin Rayo, Damien Rochford, David Balcarras, Cosmo Grant
Download Videos On all desktop and mobile devices
Language English
Subjects Programming Mathematics Humanities
Tags Computer Science Math Philosophy & Ethics

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According to other learners, here's what you need to know

for abstract thinking in one review

If you have a penchant for abstract thinking and contemplating the complexities and puzzles of life - whether or not you enjoy mathematics - this course has a world of pleasures to offer.

many other stimulating in one review

If you really hate math, then I would suggest skipping a couple of the weeks - but there's so many other stimulating things to learn that it's still worth it.

really hate math in one review

exams are extremely in one review

The exams are extremely tricky and more difficult than the exercises provided.

instructor was solid in one review

The instructor was solid, but the content of the course is what makes this such a unique experience.

difficult than in one review

Careers

An overview of related careers and their average salaries in the US. Bars indicate income percentile.

Professor of Philosophy Fellow $20k

Lecturer, Philosophy $44k

Mathematics $50k

Professor of Philosophy 2 $54k

Adjunct Lecturer in Philosophy $59k

Philosophy $64k

Professor of Theology/Philosophy $86k

Professor of Philosophy & Mathematics $103k

Professor of Philosophy Consultant $116k

Assitant Professor of Philosophy $121k

Associate Instructor of Philosophy $151k

President Professor of Philosophy $264k

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edX

&

Massachusetts Institute of Technology

Rating 4.2 based on 5 ratings
Length 12 weeks
Effort 5 - 6 hours per week
Starts Jun 18 (13 weeks ago)
Cost $99
From Massachusetts Institute of Technology, MITx via edX
Instructors Agustin Rayo, Damien Rochford, David Balcarras, Cosmo Grant
Download Videos On all desktop and mobile devices
Language English
Subjects Programming Mathematics Humanities
Tags Computer Science Math Philosophy & Ethics

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