Re: Which mathematical structure -is- the universe in Physics?

2008-09-26 Thread Brian Tenneson
Colin Hales wrote: Hi Brian, I was wondering if you could connect (in the paper) the maths with our universe? As an example. What set operations or structures correspond to the standard particle model entities, what constitutes a chemical reaction or energy, what space is made of...

Re: Which mathematical structure -is- the universe in Physics?

2008-05-01 Thread Brian Tenneson
I believe I have a working candidate for a plausibility case for a structure being literally the universe, assuming the MUH. It is the structure U(U), where the first U is script and the second is blackboard bold, on page 3 of the following document, listed under conjecture 4.

Re: Which mathematical structure -is- the universe in Physics?

2008-04-27 Thread Brian Tenneson
I was skimming though a book by Roberto Cignoli, Itala D'Ottaviano, and Daniele Mundici called Algebraic Foundations of Many-Valued Reasoning. Recall that I conjectured that the Physicist's universe has an MV-algebra structure. I probably should have said that the Physicist's universe is the

Re: Which mathematical structure -is- the universe in Physics?

2008-04-27 Thread Günther Greindl
Dear Brian, have you had a look at Universal logic? http://en.wikipedia.org/wiki/Universal_logic Maybe there are points of interest in there for you (the wikipedia article is only a stub, but contains some names to google). Cheers, Günther Brian Tenneson wrote: I was skimming though a book

Re: Which mathematical structure -is- the universe in Physics?

2008-04-27 Thread Brian Tenneson
Great reference, thanks! I'm investigating a problem I can phrase two ways, given that the category of MV-algebras is equivalent to the category of lattice-ordered Abelian groups with a distinguished strong unit. So one way to phrase my question, and I'm guess it has been answered before

Re: Which mathematical structure -is- the universe in Physics?

2008-04-27 Thread Brian Tenneson
In an attempt to recruit the help of a friend from school, he writes this in an email in response: quote So, about your question, I've actually never heard of a lattice-ordered abelian group, so I don't think I can help you there. I can tell you about the connection of category theory to

Re: Which mathematical structure -is- the universe in Physics?

2008-04-26 Thread Bruno Marchal
Le 26-avr.-08, à 06:55, nichomachus a écrit : On Apr 25, 5:27 am, Bruno Marchal [EMAIL PROTECTED] wrote: Le 24-avr.-08, à 18:26, nichomachus a écrit : On Apr 22, 11:28 pm, Brian Tenneson [EMAIL PROTECTED] wrote: Perhaps Hilbert was right and Physics ought to have been axiomatized when

Re: Which mathematical structure -is- the universe in Physics?

2008-04-25 Thread Bruno Marchal
Le 24-avr.-08, à 18:26, nichomachus a écrit : On Apr 22, 11:28 pm, Brian Tenneson [EMAIL PROTECTED] wrote: Perhaps Hilbert was right and Physics ought to have been axiomatized when he suggested it.  ;)  Then again, there might not have been a motivation to until recently with Tegmark's

Re: Which mathematical structure -is- the universe in Physics?

2008-04-25 Thread Brian Tenneson
quote I think we have no choice in the matter (once we assume the unbelievable comp hyp.). The physical is not just a mathematical structure among others. The physical emerged from a sort of sum pertaining on the whole of the mathematical possible histories. If this does not give the empirical

Re: Which mathematical structure -is- the universe in Physics?

2008-04-25 Thread nichomachus
On Apr 24, 12:08 pm, Brian Tenneson [EMAIL PROTECTED] wrote: I was attempting to -invalidate- that argument against the existence of the universe, actually, by saying that in three truth values, which the Physicists can't rule out as being the more accurate logic of their universe, the

Re: Which mathematical structure -is- the universe in Physics?

2008-04-25 Thread nichomachus
On Apr 25, 5:27 am, Bruno Marchal [EMAIL PROTECTED] wrote: Le 24-avr.-08, à 18:26, nichomachus a écrit : On Apr 22, 11:28 pm, Brian Tenneson [EMAIL PROTECTED] wrote: Perhaps Hilbert was right and Physics ought to have been axiomatized when he suggested it.  ;)  Then again, there

Re: Which mathematical structure -is- the universe in Physics?

2008-04-24 Thread nichomachus
On Apr 22, 11:28 pm, Brian Tenneson [EMAIL PROTECTED] wrote: Perhaps Hilbert was right and Physics ought to have been axiomatized when he suggested it.  ;)  Then again, there might not have been a motivation to until recently with Tegmark's MUH paper and related material (like by David

Re: Which mathematical structure -is- the universe in Physics?

2008-04-24 Thread Brian Tenneson
I was attempting to -invalidate- that argument against the existence of the universe, actually, by saying that in three truth values, which the Physicists can't rule out as being the more accurate logic of their universe, the argument reductio ad absurdum is not a tautology and, therefore, can't

Re: Which mathematical structure -is- the universe in Physics?

2008-04-24 Thread Russell Standish
On Thu, Apr 24, 2008 at 10:08:16AM -0700, Brian Tenneson wrote: I was attempting to -invalidate- that argument against the existence of the universe, actually, by saying that in three truth values, which the Physicists can't rule out as being the more accurate logic of their universe, the