Re: A simple question?

MoeBlee wrote:
I can take it as "If there exists an R such that R is a well ordering
of S, then S is never similar to one of its R-segments"

Oops, that is wrong. It should be "For all R, if R is a well ordering
of S, then S is never similar to one of its R-segments". And I think
that is more in accord with your own point anyway.

Oh boy, I'm having bit of a hard time I see. Above is STILL not
correct.

It should be:

For all R, if R is a well ordering of S, then <S R> is never similar to
an initial segment of <S R>.

Lack of similarity pertains to the structure <S R> and an initial
segment of <S R> not to a comparision between S and an inital R-segment
of S, since S is not necessarily a sequence that has segments.

MoeBlee

.

Relevant Pages

  • Re: A simple question?
    ... MoeBlee wrote: ... is never similar to one of its initial segments" because you need R to ... then S is never similar to one of its R-segments" ... David Marcus ...
    (sci.math)
  • Re: A simple question?
    ... MoeBlee wrote: ... is never similar to one of its initial segments" because you need R to ... then S is never similar to one of its R-segments" ... that is more in accord with your own point anyway. ...
    (sci.math)
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