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: On Russell's Derivation of Quantum Mechanics

2008-04-27 Thread Hal Ruhl
Hi Youness/Russell: I am very interested in this thread. Russell: In our last conversation you got me to look at my completeness resolution driven transitions in the evolution of my Somethings [universes] as information processing. From that point, if I alter the transition slightly and make

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