Hi Peter,
Your discussion of the 3-filter Paradox reminded me of Ron Garrett's 2011 Quantum Conspiracy Google Tech Talk where he talked about the same experiment. He reaches the conclusion that measurement is the same thing as entanglement and we are all living in a virtual reality. I'm wondering what your thoughts are on his presentation. Would you consider the possibility of a piece of code evolving a deterministic, yet highly complex/encrypted universe which only has pockets of predictability? Do you think lots of different math used to describe reality could be encoded in one very gerneral discrete logic system (i.e. a computer)? Your F. Werner quote
"How do we know that, if we made a theory which focuses its attention on phenomena we disregard and disregards some of the phenomena now commanding our attention, that we could not build another theory which has little in common with the present one but which, nevertheless, explains just as many phenomena as the present theory'? It has to be admitted that we have no definite evidence that there is no such theory."
has a striking similarity to one of the "Dedekind Cut quotes" in my essay.
Also your remark that paradoxes (what you refer to as "trickery") "is not the fault of maths but from misuse due to our poor initial conceptual understanding and analysis of empirical findings and thus valid formalisms" also directly relates to my main thesis and some of the questions I pose at the end of my essay.
I would love some thought on my Digital Physics essay if you get the chance.
Thanks,
Jon