Date: Feb 4, 2013 5:19 AM
Author: William Hughes
Subject: Re: Matheology § 203

> Of course, every FIS is in a line.

True but irrelevant. We can use induction to

show that there is no natural number n, such

that the nth line of L contains every FIS

of 0.111....

The question is now

Can a potentially infinite list

of potentially infinite 0/1

sequences have the property that

if s is a potentially infinite 0/1

sequence, then there is a line, g, of L

with the property that every

initial segment of s is contained in g

?

Yes or No please