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From: rick_s on 19 Jun 2010 13:43 In article <YceTn.8879$1Q5.2036(a)newsfe08.iad>, me(a)my.com says... > > >The set of all sets exists in our imagination. A set containing exactly the >sets that are not members of themselves. The set class. > >And in this class of objects we want only those sets which are not a member of >themselves. > >Typical eroneous wording. > >We have to use our imagination to conceive of a set of all sets, and we can >imagine also, that the set which contains all sets not a member of themselves >is like the native indian barber who only shaves himself every other day. > >When you are talking about the contents of that set, you are not talking about >the box just the box set. That is to say that these are two different >gramatical uses of the same word, one which is the object and one which is the >subject. > >Hence the set itself is not in the same class you are being too general. > >You are saying set box container but it is just the failings of the language >you are using that does not reflect the different uses of the term. > >Word mumbly jumbly nonsense using the same word to describe two different >things entirely, the collection, and the container. > >A collection is not a container ipso facto you are just using improper >descriptive terms and calling your linguistic failings a paradox. > > First you have to do the math. You have a set that includes the sets which are not a member of themselves. You do not have set A yet until you decide what that set includes and at the time of you making that assumption which everyone tries to breeze over in onme smooth move, but you have to stop and decide the contents of that set BEFORE it can be determined what properties the container has. So then you decide at that time, the set is empty, it is not a member of that set. So it then becomes a member. So now things have changed. You had a null set, now you have a set which includes the container so if you wish to ask the question again based on new data, then you must exclude that set. If you end up repeating yourself, that is not a paradox. That is just the response to the arrival of new data. |