On Sunday, November 4, 2018 at 12:18:48 PM UTC-6, John Clark wrote: > > On Sun, Nov 4, 2018 at 9:19 AM Mark Buda <her...@acm.org <javascript:>> > wrote: > > *> Information is only processed in minds, not in physical systems,* >> > > A brain is a physical system. Mind is what the brain does. I think our > fundamental disagreement is you think "Mark Buda" is a noun but I think > you're a adjective, you're the way atoms behave when they're organized in a > Markbudaian way. > > * > unless you can show that minds are physical systems. * >> > > Before I can do that I need to know just what you mean by that term. A > racing car is a physical system, what a racing car does is go fast. Is > "fast" a physical system? It is certainly produced by one but whether it > itself is a physical system is a matter of philosophical interpretation of > no operational difference as far as I can see. > > >> > I believe minds are mathematical objects, as are physical systems, >> > > Turing did more than prove the Halting Problem has no solution, with his > machine he also showed us exactly how the laws of physics could produce > arithmetic. However nobody has shown how arithmetic could produce the laws > of physics or even come close to doing so. > > *> and that minds are a particular kind of mathematical object.* >> > > Then why is it that if I change the physical object that is your brain > your mind changes and when you change your mind your brain changes? The > function F(x)=x^2 is a mathematical object and it remains the same > regardless of what I do to your brain, but your mind doesn't. > > >> * > I strongly suspect that the particular kind of mathematical object >> that minds are is called a lawless choice sequence.* >> > > The lawless choice sequence was invented by the mathematician L.E.J. > Brouwer and he was also the founder of intuitionism, a philosophy of > mathematics that says mathematics is not fundamental is just the product of > the human mind. I don't know that I'd go as far as Brouwer because I > think ET of a AI or any mind would eventually come us with something > similar to our mathematics, but only because mathematics is the best > language to use when describing how the laws of physics work. > > John K Clark >

Brouwer, followed by Heyting, ... produced modern type theory, the foundation of programming language theory. http://www.cse.chalmers.se/research/group/logic/TypesSS05/Extra/nordstrom_sl.pdf *- Brouwer rejected the idea that the meaning of a mathematical proposition is its truth value.* *- Mathematical propositions do not exist independently of us *[alternative: language] *- We cannot say that a proposition is true without having a proof of it.* (when "us" or "minds" is replaced by "languages") - pt -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To post to this group, send email to everything-list@googlegroups.com. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.