JoshuaZ comments on Harry Potter and the Methods of Rationality discussion thread, part 8 - Less Wrong

8 Post author: Unnamed 25 August 2011 02:17AM

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Comment author: JoshuaZ 07 September 2011 04:09:07PM 2 points [-]

Also one other remark: Foundation isn't there to repair any Russel issues. You can get as a theorem that Russell's set doesn't exist using the other axioms because you obtain a contradiction. Foundation is more that some people have an intuition that sets shouldn't be able to contain themselves and that together with not wanting sets that smell like Russell's set caused it to be thrown in.

Comment author: Sniffnoy 07 September 2011 10:41:31PM 6 points [-]

And of course more generally, for those not familiar, you can never get rid of paradoxes by adding axioms!

Comment author: JoshuaZ 08 September 2011 04:52:44AM *  1 point [-]

I'm really tempted to be obnoxious and present an axiomatic system with a primitive called a "paradox" and then just point out what happens one adds the axiom that there are no paradoxes. This is likely a sign that I should go to bed so I can TA in the morning.

Comment author: lessdazed 08 September 2011 01:47:48AM 0 points [-]

How about by legislating? Has that been tried?