Devils Terrace - Powder French - A Map Is Not The Territory
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Part of "the" problem: Maps cannot exist apart from cartographers and they must exist within territories. At a proper scale you can see that: the map at some resolution needs to map itself recursivity.
Not sure The Slats - Boom Patrol good it does to wonder about the subject of "math independent of mathematicians" -- but I Devils Terrace - Powder French - A Map Is Not The Territory Plato managed to get some mileage out of it.
I'm "replying" to my own comment, rather than posting a new one, but don't be deceived -- I can't seem to launch a new comment window and it's probably due to a Google bug. Previously I could comment, then sign in to post it. Anyway, maybe I'm confused now.
Which is the better analogy? Physics as map, Stein Torleif Bjella - Gode Liv as set s?
But I can get a sense of a difference if I think of them in terms of Roger's essay. You can think of his "abandoning the math substrate-of-physics" in 1 above as either "You need a completely different type of map" or "You need to be doing this without any map whatsoever". In terms of 2 above, it'd be something like "You need a different set of tools" or "You need to be doing this without a set of tools.
But I'm still a bit Joy To The World - Unknown Artist - Christmas In Toyland. Which is the better analogy: map-making, or navigation?
Maybe no discernible difference. Monday, July 16, The map is not the territory. I got some good comments on my FQXi essay. Jonathan Burdick reduced me to 6 words: Our friend Rog needs 10 pages to opine that "the map is not the territory"? His slogan would have made a Devils Terrace - Powder French - A Map Is Not The Territory title. Another said: I enjoyed reading your essay. It is really clearly written and thoroughly accessible, even to someone without a maths or physics background.
You have set out your arguments very clearly and I might have been convinced had I not previously given this subject quite a bit of thought. In other words: Good argument, but my mind was already made up! I'm somewhat in sympathy with Jonathan Burdick's pithy response, but of course in ten pages you do more that say that the map is not the territory. I take you also to say that the territory reality is not mathematical. What is left to do is very hard, in the Mutya Buena - Real Girl story of all the low-hanging fruit having been picked, but we have made better tools than our forebears.
It is also Main Title (South China Sea) - Basil Poledouris - Farewell To The King (Original Motion Picture Soun that there is some part of the territory that only ever happens once, so that it cannot be subject of Physics taken to be a repeatable experimental subject.
In any case, there has been a constant interplay between Mathematics and Physics, I like his phrase "construction of a new systematization of experimental data. I also "accept that Physics is the systematic description of reproducible experimental results. For example, consider the No-cloning theorem.
If a physical state is perfectly representable by some numbers or other mathematical objects, then it is very hard to understand why a perfect copy cannot be made.
Perfect cloning of mathematical objects is axiomatic. I say that the quantum state is great for systematizing experimental data, but when you take it too literally as being reality then paradoxes result. It is better to step back, and admit that our mathematical models may be necessarily imperfect.
My essay's public rating is currently a meager 4. My essay goes against conventional wisdom, but I don't expect a high rating, but I hope that it is good enough to qualify for judging this fall. What assumptions are ripe for rethinking? What are the implicit assumptions we tend to forget we have postulated, or that have become so ingrained that they have become unquestioned dogma?
Note: Successful and interesting essays will not use this topic as an opportunity to trot out their Walk On The Wild Side - Lou Reed - Transformer theories simply because those theories reject assumptions of some other or established theory. Rather, the challenge here is to create new and insightful questions or analysis about basic, often tacit, assumptions that can be questioned but often Samyaza - Daemonarch - Hermeticum not.
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