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Looks like an interesting online course - Paradox and Infinity 
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Post Looks like an interesting online course - Paradox and Infinity
https://www.edx.org/course/paradox-infi ... tx-24-118x

I usually don't end up sticking with online courses, but I'll check it out



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Mon Jun 08, 2015 10:38 am
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Post Re: Looks like an interesting online course - Paradox and Infinity
Dexter wrote:
https://www.edx.org/course/paradox-infinity-mitx-24-118x

I usually don't end up sticking with online courses, but I'll check it out


WOW!
Great find.

Thanks. I never knew about this website.



Mon Jun 08, 2015 11:24 am
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Post Re: Looks like an interesting online course - Paradox and Infinity
I just viewed the first video. It looks like a great class, particularly because Kurt Gödel's incompleteness theorem and its philosophical implications will be discussed. I've always wanted to understand it as best as a layman can.

Once a theorem is proved, the mathematics are supposed to provide mathematical certainty.
The incompleteness theorem indicates otherwise.

It’s a consequence of a theorem that its very hard to determine whether an axiom system is consistent.
There is always a risk that the basic principles are inconsistent.
In an inconsistent system you can prove anything.

How does this impact our modeling of nature?



Tue Jun 09, 2015 10:26 am
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