Leaving aside the question of whether the universe can be represented as a graph, as I understand it, Ramsey Theory generalises the theorem to structures other than graphs. Is this incorrect?
Ramsey Theory, much like Number Theory, Set Theory or Group Theory, is an ongoing field of study which contains many theorems and many unanswered questions. You have to actually give a theorem that applies to universes.
I would also like to point out that Ramsey's Theorem doesn't actually guarantee interesting things, and insofar as it guarantees anything it doesn't guarantee much of it. It asserts that sufficiently large multicoloured graphs must contain monochromatic sub-graphs of any desired size. I don't consider monochramtic sub-graphs to be very inter...
I had posted a while back on my proposed dissolution of the Fine Tuning argument. My main argument was as follows:
I've been pondering how to process that response, and if the argument is salvageable, ever since. Do we really have to explain anthropics and the multiverse to diffuse the FTA?
Today I came across a great article with an elegant description of Ramsey's Theorem:
As I understand it, positing few 'interesting' vs. the vast majority of 'uninteresting' universes is in direct contradiction with Ramsey's theorem. I put this to the more mathematically educated among this community for feedback. Beyond pushing forward this particular internal dialog of mine, it should have more general application in the fine tuning debate, should someone choose to use it there.