John Collins wrote:
One interpretation of the universe of constructible sets found in standard set theory textbooks is that even if you start with nothing, you can say "that's a thing," and put brackets around it and then you've got two things: nothing and {nothing}. And then you also have {nothing and {nothing}}
Why start with nothing? Isn't this arbitrary?
In fact zero information = all possibilities and all information = 0 possibility.
of course, (0 possibility) = 1 possibililty
What is not arbitrary? Certainly anything is arbitrary. The least arbitrary seems to be everything which is in fact zero information.
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Start with the set(everything) and start deriving your numbers.
To do this, instead of using the operation set( ), use the operation elementof( ).
Hence one=elementof(everything) and two = elementof(everything - one); three = elementof(everything - one - two)
George
