EFTA02500814.pdf

From: jeffrey E. <[email protected]> Sent: Tuesday, June 9, 2015 1:57 AM To: Noam Chomsky Subject: Re: brain as a computer? as silly as artificial intellig=nce., The simple example I teach re quantum is when i tr= to decide should i order fish or meat. for the moment before I orde= ( as you an I agree ms before i even am concious of ordering. ) both choi=es like schroedingers cat exist as a superpostioned wave function th=t collapses and a choice is made. . yes i am takin= liberties. . the students you referred to you suggest are working o= computers, not very odd that they might see you I language conformi=g to their pre perceptions On Mon, Jun 8, 2015 at 9:41PM, Noam Chomsky wrote: I have a VERY thick skin, and love to=hear criticism. One of the best ways to learn. And I'v= often given up closely held beliefs on the basis of persuasive argumentation. But in this case, I just don't see the argume=ts. It's true that the mathematic= lacks rigor, but that's for the same reason that publications in =rofessional math journals lack rigor. The steps that are not spelled out are straightforward enough so that they can be easily filled i=. I don't know of any problems about set theory, apart from =he classic ones. Some version of set theory is presupposed in every =ranch of math, including category theory. As for the brain as a computer, I'm not sure what you see as the problem.=C2 The papers I sent you do assume that I-language is a computational s=stem, with the properties mentioned, easily formalized. I don =99t know of any coherent alternative. Actually, very good professional mathematicians and physicists, one working primarily on quant=m computers, have attended my regular seminars for years, but I've=never heard a suggestion as to how mathematical ideas used in quantum theo=y would be relevant to systems of the kind we're considering. The "displacement conjecture =80 is, in fact, an immediate consequence of what would be the best poss=ble theory if it's true: SMT, in particular, the assumption that t=e basic combinatorial operation is the simplest one possible. Merge =s simply set-formation, presupposed in all of mathematics. I agree tha= it's naive, if by that you mean very simple, arguably optima=ly so. But hasn't that been the pretty explicit goal of scie=ce, at least since Galileo, quantum theory included? I'd lik= to hear the objections, and hope to learn from them.<=p> Noam From: jeffrey E. [mailto:[email protected] Sent: Monday, June 08, 2015 3:07 PM To: Noam Chomsky Subject: I will take your word that you share my thick skin f=r criticism and share a strange pleasure in learning, even if it mea=s having to accept that some formerly closely held beliefs might nee= strong correction. I have no particular EFTA_R1_01628006 EFTA02500814 knowledge re politics or history, so I will never offer an opinion.=C2 however re mathematics and or money , I feel on strong ground.=C2 That being said, thought puzzles in the paper are brilli=nt and insightful. the mathematical descriptions lack rigor , and the metaphors suffer from the common science limitation of try=ng to describe things using the engineering metaphors or the tools of =AO the moment.ex. The human or its brain as a computer ., set=theory . It was popular in the early 20th as you know to describe the body as an electric machine.. the mathem=tics used today in quantum show more promise , as it attempts to describe =hings that appear counter intuitive. or difficult to comprehend , ( your d=splacement conjecture) your simple X and Y , Merge , is quite naive and unfortunately incorrect. 2. from the paper you sent. ; a much more elegant way of conveying =AO what i had failed to do re sentences and money European structuralism commonly adopted the Saussurean conception of langua=e ( MONEY) (in the relevant sense) =s a social entity; as Saussure put it, a storehouse of word images ( values ) in the brains of a collectivity o= individuals founded on a "sort of contract." please no=e The information contained in this communication is confidential, may be attorney-client privileged, may constitute inside information, and is intended only for the use of the addressee. 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