Doron Posted October 2, 2003 Report Share Posted October 2, 2003 Hi, p and q are real numbers. If p < q then [p, q] = {x : p <= x <= q} or (p, q] = {x : p < x <= q} or [p, q) = {x : p <= x < q} or (p, q) = {x : p < x < q} . A single-simultaneous-connection is any single real number included in p, q ( = D = Discreteness = a localized element = {.} ). Double-simultaneous-connection is a connection between any two different real numbers included in p, q , where any connection has exactly 1 D as a common element with some other connection ( = C = Continuum = a non-localized element = {.___.} ). Therefore, x is . XOR .___. Any C is not a "normal" real number but a connector (a 1-1 correspondence element) between any two different "normal" real numbers (D elements). No single "normal" real number (a D element) has this property, to be a connector between some two different "normal" real numbers (D elements). For more detailes please look at: http://www.geocities.com/complementarytheory/CATpage.html I'll be glad to get your remarks and insights. Doron Link to comment Share on other sites More sharing options...
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