On 24 Aug 2011, at 21:34, meekerdb wrote:

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On 8/24/2011 11:57 AM, Bruno Marchal wrote:Nu = ((ZUY)^2 + U)^2 + Y ELG^2 + Al = (B - XY)Q^2 Qu = B^(5^60) La + Qu^4 = 1 + LaB^5 Th + 2Z = B^5 L = U + TTh E = Y + MTh N = Q^16R = [G + EQ^3 + LQ^5 + (2(E - ZLa)(1 + XB^5 + G)^4 + LaB^5 + +LaB^5Q^4)Q^4](N^2 -N)+ [Q^3 -BL + L + ThLaQ^3 + (B^5 - 2)Q^5] (N^2 - 1) P = 2W(S^2)(R^2)N^2 (P^2)K^2 - K^2 + 1 = Ta^2 4(c - KSN^2)^2 + Et = K^2 K = R + 1 + HP - H A = (WN^2 + 1)RSN^2 C = 2R + 1 Ph D = BW + CA -2C + 4AGa -5Ga D^2 = (A^2 - 1)C^2 + 1 F^2 = (A^2 - 1)(I^2)C^4 + 1 (D + OF)^2 = ((A + F^2(D^2 - A^2))^2 - 1)(2R + 1 + JC)^2 + 1Thanks to Jones, Matiyasevitch. Some number Nu verifying thatsystem of diophantine equations (the variables are integers) are"Löbian stories", on which the machine's first person indeterminacywill be distributed.We don't even need to go farer than the polynomial equations todescribe the ROE.I'm reminded of the apocryphal story of Euler being asked byCatherine the Great to counter Diederot who was trying to convertthe Russian court to atheism. Euler wrote "e^(i*pi) + 1 = 0therefore God exists."

`Well, it looks like, but you should quote the dialog: here I was asked`

`*explicitly* to use only addition and multiplication. So I did. What I`

`give was a *specific* universal system written using only addition and`

`multiplication. The difference with, say, this:`

0 ≠ s(x) s(x) = s(y) -> x = y x+0 = x x+s(y) = s(x+y) x*0=0 x*s(y)=(x*y)+x

`is that here we usee more symbols and, furthermore, assume classical`

`logic. The purpose was illustrative only.`

`Note that Benjayk could have asked me a universal number. We have that`

`X belongs to W_Nu (with W_i = domain of the phi_i) if and only if X`

`and Nu satisfy the the polynomial equation above. So a universal "Nu"`

`is a number such that W_Nu which is a Sigma_1 complete set. That`

`exists, but it would be very tedious to isolate it.`

Bruno http://iridia.ulb.ac.be/~marchal/ -- You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to everything-list@googlegroups.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.