Date: Feb 23, 2013 4:23 PM
Subject: Re: Matheology � 222 Back to the roots
WM <email@example.com> wrote:
> On 23 Feb., 10:59, William Hughes <wpihug...@gmail.com> wrote:
> > On Feb 23, 12:03 am, William Hughes <wpihug...@gmail.com> wrote:
> > > Does
> > > For every natural number n, P(n)
> > > is true.
> > > imply
> > > There is no natural number m such
> > > that P(m) is false.
> > Does
> > There is a line, l, of L
> > such that l has property P
> > imply
> > There exists a natural number
> > m such that the mth line of L
> > has property P.
> > ?
> Can you identify a FIS of d that is not in a line l of L?
> You cannot. Nevertheless d consists of FIS of lines of L, and of
> nothing else, by definition and by construction of d.
Does Wm claim existence of any line l of L for which there is no FIS of
d exceeding it in length?
Is it not true even in Wolkenmuekenheim that for every nth line of L of
length n, that the n+1_st FIS of d, of length n+1, is longer?