An intelligent 'IQbit' is found in hierarchical 'Sample Space' sub-sets hidden in the Excluded Middle between binary 0,1 values. Complex but causal distributions of intensity are found equivalent to Gödel's non-integer 'n-valued' or 'Fuzzy' logic, not accessible to binary systems. When tested by asking more than the 'yes/no' limit identified by John Wheeler the IQbit proves surprisingly capable of resolving the EPR paradox causally, without action-at-a-distance or superluminal signalling. New experiments comparing single photon pairs are proposed, predicted to reveal 'cosine curve' distributions from each detector, as John von Neumann proposed. Uncertainty and determinism emerge more consistently superposed. New 'dimensions' and degrees of freedom provide the power, implying new law of nature with a domain limited to only 'real' entities and interactions, giving quantum mechanical statistical probability amplitudes as Bayesian inverse distributions. The law may then be termed the “Law of the Reducing Middle”. Probabilities of any occurrence in an infinite universe are non-zero. A related suggestion emerges; that no two real entities precisely identical at observable scale exist at any time. The fundamental rule of mathematics, also assumed for predicate logic and calculus; A = A is then replaced only for natural phenomena with the 'similar' A~A. The natural 'Dividing Line' discussed by Dirac between entities precisely mathematically describable and the rest is identified, the two parts distinguished as; physical (entities and interactions) and; metaphysical. Only the metaphysical class retains an excluded middle between binary 0,1. The class includes; cardinalised integers, assigned symbols, algebra, finite values and numerical derivatives; speed, frequency, correlations etc. Bell assumed simple binaries precisely modelled reality. 'Squaring' 2D waves creates the 3D IQbit torus wound by helices harnessing orbital angular momentum and describing a helix when translating axially. Field and relative orientations on interaction (detection) varies intensity distribution as the cosine, as Malus's Law.