Re: [Haskell-cafe] Very freaky

On Thu, Jul 12, 2007 at 10:11:07PM +0100, Andrew Coppin wrote:

Felipe Almeida Lessa wrote:

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On 7/12/07, Andrew Coppin wrote:

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How come the set of all sets doesn't exist?

http://www.google.com/search?q=set+of+all+sets leads to http://en.wikipedia.org/wiki/Set_of_all_sets which has the answer, I think.

Ouch.

Clearly, set theory is way more complicated than people make out. (I always thought a "set" was just a collection of objects...)

If a set is just a *finite* collection of objects, then things are usually fairly straightforward. It's those pesky infinite sets that complicate things...especially the ones which aren't constructible. Phil -- http://www.kantaka.co.uk/ .oOo. public key: http://www.kantaka.co.uk/gpg.txt