Re: A possible structure isomorphic to reality

2010-12-09 Thread Brian Tenneson
Is there any first order formula true in only one of R and R*? I would think that if the answer is NO then R < R*. What I'm exploring is the connection of < to [=], with the statement that < implies [=]. Are there any other comparitive relations besides elementary embedding that would fit with wha

Re: advice needed for Star Trek talk

2010-12-09 Thread Bruno Marchal
On 08 Dec 2010, at 22:15, Brent Meeker wrote: On 12/8/2010 11:19 AM, Bruno Marchal wrote: On 07 Dec 2010, at 22:40, Brent Meeker wrote: My reservation about step 8 is that the activity, in order to be a computation, must have an interpretation. Hmm... This is already a bit ambiguous

Re: A possible structure isomorphic to reality

2010-12-09 Thread Bruno Marchal
On 09 Dec 2010, at 05:12, Brian Tenneson wrote: On Dec 5, 12:02 pm, Bruno Marchal wrote: On 04 Dec 2010, at 18:50, Brian Tenneson wrote: That means that R (standard model of the first order theory of the reals + archimedian axiom, without the term "natural number") is not elementary embedd