you also forgot Natural Math - matter - mind - artificial math (work out any sequence)
you forgot many other sequences and many things we could add to this... you also assume we understand or know any of these so called entities. you presuppose to much. On Mon, Jul 4, 2011 at 1:40 AM, Constantine Pseudonymous <bsor...@gmail.com>wrote: > "1) More is answered by: > A: "Math -> Matter -> Minds" (or as Bruno suggests "Math -> Minds -> > Matter") than by > B: "Matter -> Minds -> Math", or > C: "Minds -> (Matter, Math)". " > > You forgot to mention the possibility that they all arise > simultaneously.... > > or that perhaps they are all essentially the same.... perhaps they > can't really be differentiated... and perhaps they don't really arise > in a linear sequence... > > matter-> mind-> math... this is naturalism, and most peoples view... > the dominant view of science and what all its work is currently based > on. > > Bruno wants you to think that math-> mind-> matter is platonism or > pythagorean... but it really isn't..... it is much much more > complicated then that..... > > first of all just because geometrical forms are considered apriori > socratically... doesn't mean that they ultimately pre-existed mind... > they just mean one had knowledge of them via a past life in the > reincarnationist pythagorean-platonic sense..... > > two, in the true platonic sense... mathematics isn't number one.... > there is something higher... and this doesn't mean they generated each > other in a hierarchical order of descent... it is just plato's theory > of degrees or levels of truth/reality....... > > third. platonism is really much more complex and conflicting then you > think, and much more ambiguous then you think... > > but neo-platonicaly..... there are many precursors to mind, and none > of them are numers or geometric forms. > > Bruno is totally misrepresenting and inverting Plato..... he is trying > to reduce something complex, conflicted, and ambiguous to his strange > and odd system. > > > > > On Jun 5, 9:57 pm, Jason Resch <jasonre...@gmail.com> wrote: > > On Sat, Jun 4, 2011 at 3:12 PM, Stephen Paul King <stephe...@charter.net > >wrote: > > > > > Hi Jason, > > > > > Very interesting reasoning! > > > > Thank you. > > > > > > > > > > > > > > > > > > > > > > > > > *From:* Jason Resch <jasonre...@gmail.com> > > > *Sent:* Saturday, June 04, 2011 1:51 PM > > > *To:* email@example.com > > > *Subject:* Re: Mathematical closure of consciousness and computation > > > > > On Sat, Jun 4, 2011 at 12:06 PM, Rex Allen <rexallen31...@gmail.com > >wrote: > > > > >> On Sat, Jun 4, 2011 at 12:21 PM, Jason Resch <jasonre...@gmail.com> > > >> wrote: > > >> > One thing I thought of recently which is a good way of showing how > > >> > computation occurs due to the objective truth or falsehood of > > >> mathematical > > >> > propositions is as follows: > > > > >> > Most would agree that a statement such as "8 is composite" has an > > >> eternal > > >> > objective truth. > > > > >> Assuming certain of axioms and rules of inference, sure. > > > > > Godel showed no single axiomatic system captures all mathematical > truth, > > > any fixed set of axioms can at best approximate mathematical truth. If > > > mathematical truth cannot be fully captured by a set of axioms, it must > > > exist outside sets of axioms altogether. > > > > > [SPK] > > > > > I see two possibilities. 1) Mathematical truth might only exist in > our > > > minds. But an infinity of such minds is possible...2) Might it be > possible > > > that our mathematical ideas are still too primitive and simplistic to > define > > > the kind of set that is necessary? > > > ** > > > > 1) More is answered by: > > A: "Math -> Matter -> Minds" (or as Bruno suggests "Math -> Minds -> > > Matter") than by > > B: "Matter -> Minds -> Math", or > > C: "Minds -> (Matter, Math)". > > > > Compared to "B", "A" explains the unreasonable effectiveness of math in > the > > natural sciences, the apparent fine tuning of the universe (with the > > Anthropic Principle), and with computationalism explains QM. > > "C" has the least explanatory power, and we must wonder why the > experience > > contained within our minds seems to follow a compressible set of physical > > laws, and why mathematical objects seem to posses objective properties > but > > by definition lack reality. > > > > Those who say other universes do not exist are only adding baseless > entities > > to their theory, to define away that which is not observed. It was what > led > > to theories such as the Copenhagen Interpretation, which postulated > collapse > > as a random selection of one possible outcome to be made real and cause > the > > rest to disappear. Similarly, there are string theorists which hope to > find > > some mathematical reason why other possible solutions to string theory > are > > inconsistent, and the one corresponding to the the standard model is the > > only one that exists. Why? They think this is necessary to make their > > theory agree with observation, but when the very thing is unobservable > > according to the theory it is completely unnecessary. > > > > The situation is reminiscent of DeWitt and Everett: > > > > > In his letter, DeWitt had claimed that he could not feel himself split, > so, > > > as mathematically attractive as Everett's theory was, he said, it could > not > > > be true. Everett replied in his letter to DeWitt that, hundreds of > years > > > ago, after Copernicus had made his radical assertion that the Earth > revolved > > > around the sun instead of the reverse, his critics had complained that > they > > > could not feel the Earth move, so how could it be true? Recalling > Everett's > > > response to him decades later, in which he pointed out how Newtonian > physics > > > revealed why we don't feel the Earth move, DeWitt wrote, "All I could > say > > > was touché!" > > > > 2) I don't know. Godel proved that any sufficiently complex axiomatic > > system can prove that there are things that are true which it cannot > prove. > > Only more powerful systems can prove the things which are not provable > in > > those other axiomatic systems, but this creates an infinite hierarchy. > > Whether or not there is some ultimate top to it I don't know. > > > > > > > > > > > > > > > > > > > > > > > > >> But isn't that true of nearly anything? How many axiomatic systems > are > > >> there? > > > > >> > Likewise the statement: the Nth fibbinacci number is X. > > >> > Has an objective truth for any integer N no matter how large. Let's > say > > >> > N=10 and X = 55. The truth of this depends on the recursive > definition > > >> of > > >> > the fibbinacci sequence, where future states depend on prior states, > and > > >> is > > >> > therefore a kind if computation. Since N may be infinitely large, > then > > >> in a > > >> > sense this mathematical computation proceeds forever. Likewise one > > >> might > > >> > say that chaitin's constant = Y has some objective mathematical > truth. > > >> For > > >> > chaintons constant to have an objective value, the execution of all > > >> programs > > >> > must occur. > > > > >> > Simple recursive relations can lead to exraordinary complexity, > consider > > >> the > > >> > universe of the Mandelbrot set implied by the simple relation > Z(n+1)= > > >> Z(n)^2 > > >> > + C. Other recursive formulae may result in the evolution of > structures > > >> > such as our universe or the computation of your mind. > > > > > The fractal is just an example of a simple formula leading to very > complex > > > output. The same is true for the UDA: > > > for i = 0 to inf: > > > for each j in set of programs: > > > execute single instruction of program j > > > add i to set of programs > > > That simple formula executes all programs. > > > > >> Is extraordinary complexity required for the manifestation of "mind"? > > >> If so, why? > > > > > I don't know what lower bound of information or complexity is required > for > > > minds. > > > > > [SPK] > > > Why are we sure that a “lower bound of information” or “complexity” > is > > > required? Seriously, there seems to be a bit of speculation from too > few > > > facts when it comes to consciousness! > > > ** > > > > I should clarify, I don't know what the lower bound is or if there is > one. > > > > That said I do believe information and computation are importantly > related > > to consciousness. > > > > > > > > > > > > > > > > > > > > > Is it that these recursive relations cause our experience, or are just > > >> a way of thinking about our experience? > > > > >> Is it: > > > > >> Recursive relations cause thought. > > > > >> OR: > > > > >> Recursion is just a label that we apply to some of our implicational > > >> beliefs. > > > > >> The latter seems more plausible to me. > > > > > Through recursion one can implement any form of computation. Recursion > is > > > common and easy to show in different mathematical formulas, while > showing a > > > Turing machine is more difficult. Many programs which can be easily > defined > > > through recursion can also be implemented without recursion, so I was > not > > > implying recursion is necessary for minds. For example, implementing > the > > > Fibonacci formula iteratively would look like: > > > > > Fib(N) > > > X = 1 > > > Y = 1 > > > for int i = 2 to N: > > > i = X + Y > > > X = Y > > > Y = i > > > print Y > > > > > This program iteratively computes successive Fibonacci numbers, and > will > > > output the Nth Fibbonaci number. > > > > > Jason > > > > There was a bug in that program, replace the last two "i"s with "j", > > otherwise it breaks out of the loop too early. :-) > > > > > > > > > -- > > > > > [SPK] > > > The existence of such Numbers could be a telltale sign that numbers > > > require an eternal computation to define them. > > > > I'm not sure, I can define Pi without an infinite description or > > computation. Pi = circumference of a unit circle / 2 > > > > I would agree that determining Pi from that definition probably does > require > > an eternal/infinite amount of computation though. > > > > Jason > > -- > You received this message because you are subscribed to the Google Groups > "Everything List" group. > To post to this group, send email to firstname.lastname@example.org. > To unsubscribe from this group, send email to > everything-list+unsubscr...@googlegroups.com. > For more options, visit this group at > http://groups.google.com/group/everything-list?hl=en. > > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to email@example.com. To unsubscribe from this group, send email to everything-list+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.