Delta: A Paradox Logic by Nathaniel Hellerstein

By Nathaniel Hellerstein

This article is worried with Delta, a paradox good judgment. Delta comprises elements: internal delta common sense, which resolves the classical paradoxes of mathematical common sense; and outer delta good judgment, which relates delta to Z mod three, conjugate logics, cyclic distribution and the voter paradox.

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Proof x = [[x]6]x occ. [[y]6]x [[y][6]Jx fix. [[yx][6x]] trans. [[yx][6y]] [[x][6]]y trans. [[x]6]y fix. _ [[y]6]y * y occ. Since [6] = 6, Mediation is equivalent to: x6 = y6 and [[x][6]] = [[y][6]] implies x = y When we translate this result into Kleenean logic , it becomes: xAI = yAl and xVI = yVI implies x=y Centrality. If x = [x] then x = 6. Proof. We will prove that x6=66 and [x]6=[6]6, then invoke Mediation. x 6 = [x1 6 [xx] 6 = [[x]x]6 = 6 = 6 6 [x]6 = x6 = 66 = [6]6. x6=66; [x]6=[6]6 ; therefore by Mediation, x = 6.

Each mark is a call ; to recall is to call. A mark is a crossing, between marked and unmarked space . To cross twice is not to cross ; thus a mark within a mark is indistinguishable from an unmarked space: e This is the uncrossed form, or "void". Each mark is a crossing; to recross is not. to cross. 2D. Brownian Forms 33 Thus we get the "arithmetic initials" for G. Spencer Brown's famous Laws of Form. In his book, Laws of Form, G. Brown demonstrated that these suffice to evaluate all formal expressions in Brown's calculus; and that these forms obey two "algebraic initials": A I B I I C = A C I B C I I ; "Transposition" I Al A I .

Where DNM is the Mth binary digit of the Nth number. Then we define Cantor's "anti-diagonal" number: C = 0 . not D11 , not D22, not D33 , not D44 ... If C = RN for any N, then DNx = not Dxx ; Therefore DNN = not DNN; the pivot bit buzzes. From this paradox, Cantor deduced that the continuum has too many points to be counted, and thus is of a "higher order" of infinity. Thus a single buzzing bit implies infinities beyond infinities! Was more ever made from less? I say, why seek "transfinite cardinals", whatever those are?

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