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*Axiom of Choice, why it has been controversial, and its use in Wiles' proof of Fermat's Last Theorem
 
*Axiom of Choice, why it has been controversial, and its use in Wiles' proof of Fermat's Last Theorem
 
*Set theory in general
 
*Set theory in general
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*Kurt Gödel's incompleteness theorems are interesting; they are applicable not only in maths and logic, but also move into philosophy.
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*Hilbert's program (although of course the above renders null its aims!)
    
<b>Students on the course</b>
 
<b>Students on the course</b>
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:: That's fantastic.  Of course you're welcome in the UK.  You have great colleges there, and produced some fantastic physicists.  Please help build a curriculum (see above).  Lord willing, maybe we can make some inroads into some unsolved problems.--[[User:Aschlafly|Aschlafly]] 19:29, 5 August 2007 (EDT)
 
:: That's fantastic.  Of course you're welcome in the UK.  You have great colleges there, and produced some fantastic physicists.  Please help build a curriculum (see above).  Lord willing, maybe we can make some inroads into some unsolved problems.--[[User:Aschlafly|Aschlafly]] 19:29, 5 August 2007 (EDT)
 
[[category:mathematics]]
 
[[category:mathematics]]
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::: Well I come from Burma, but the colleges and university there are good. Your point about unsolved problems is good, too - have you heard of the folding@home project? It is a different concept, I know, but perhaps relevant - maybe what one brilliant mathematician might struggle at, us many lesser minds might gain insight into! I would also recommend for point 3 the UKMT papers [http://www.wpr3.co.uk/UKMT/jmc.html][http://www.wpr3.co.uk/UKMT/imc.html][http://www.wpr3.co.uk/UKMT/smc.html] - I do not know about how it is in the USA, but they are typical here. [[User:AungSein|AungSein]] 20:06, 5 August 2007 (EDT)
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