```Date: Sep 20, 2017 6:10 PM
Author: conway
Subject: Re: 0 = 1

> On Wednesday, September 6, 2017 at 3:01:29 PM UTC-4,> conway wrote:> > 0 and 1 share identical spaces.  ( 1 + (-1) )> proves this....if 0 did not have a space on the> number line the equation would equal -1.  0 and 1 do> NOT share a value in common.  0 is NOT equal to 1. > > Thanks for confirming that, contrary your heading, we> still have 0=/=1. > > > > according to value.  But according to space they> ARE equivalent.> >> > Huh??? Not sure what kind of wonky equivalence> relation you have in mind, but it sure isn't> equality. 0 and 1 are NOT generally interchangeable.> > So, we still have 0x=0 and 0x=/=1 for all x in R. And> 0=/=1. Whew!> > > Dan> > Download my DC Proof 2.0 software at> http://www.dcproof.com> Visit my Math Blog at> http://www.dcproof.wordpress.com> > > > DanTo be fair to you....ok....I was not "precise" in my title.  I chose it to add "flare".......HOWEVER.....zero and 1 are interchangeable with "space"......but not with value.....consider..."abstractly"...If I have an empty box... that is zero.  If I fill the empty box with 1 of anything....that is 1.  1 still has the same "box" that zero had....its just that it is "filled"...
```