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Alexandros comments on Fine-tuned for Interestingness vs. Ramsey's Theorem - Less Wrong
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Comments (18)
On your second point - my definition of interestingness is any distinguishing feature. Anything at all that can be used to tell universes apart. If you think I am talking about life or something like it, you have not understood my argument. It claims that life is an arbitrary feature to focus on to begin with. I don't know which scientists have made the 'lifeless universes' argument and how, but my argument has nothing to do with that.
On your first point - If we accept Tegmark's identification of universes-in-general with mathematical objects, the question becomes whether Ramsey Theory applies or not.
On your third point - Given that theorems exist for coloured graphs, multidimensional grids, and coloured consecutive numbers, (hardly high-level structures), it's not exceedingly far fetched to imagine ramsey-type structure arising in a universe, or our universe being expressible as one of those structures.
Yes, this last bit is speculative, and this is why I asked for feedback.
Oh, your definition of interestingness is kinda sorta the opposite of what I thought it was. "Having a monochromatic complete subgraph of a certain size" is not a distinguishing feature of sufficiently large colored complete graphs, because all such graphs have that property.
It all depends on whether you find very small areas of uniform patterns interesting.