The deepest foundations of Philosophy, Logic, Maths & Physics, the 3 'Laws of Thought', are flawed. Updated laws can aid decidability, computability, and predictability, also help rationalise much of physics, and inform the paradox problems of Logic & Philosophy. The Greeks A=A is wrong in two ways. Aristotle = Aristotle is false because there is only ONE unique entity; 'Aristotle'. Also that 'prediction' needs 'time', so at higher orders Aristotle isn't even identical to himself a moment later. Similarly flawed are Logics 'excluded middle', and binary maths. Divisible Atoms also need new foundations, which we offer and test. Chaos theory & Godels 'Fuzzy' Sets help suggest coherent answers in; Relativity, QM & Cosmology. The 'Action at a distance' of EM and Gravity emerge from setting Diracs maths 'cut-off' between lowest EM 'coupling' scale; fermion pairs and a 'Higgs Condensate' scale. Dirac was also correct that answers can't emerge in "mathematical terms" but need "physical entities", We should now act on that.
Peter Jackson