PrePrint posted at: http://www.vixra.org/abs/1101.0075
Standard methods of quantum theory are employed, excepting: quantum theory is initialised by the a priori adoption of the Field Axioms; and the square root of minus one is not introduced initially as if axiomatic. Its adoption is postponed until inconsistency in the theory forces its introduction. Entry of this scalar, logically independent of the Axioms, relieves the inconsistency but introduces mathematical undecidability and indeterminacy. Nevertheless, indeterminate formulae derive determinate probability along with Pythagorean addition. Orthogonality is indicated as the condition around which logical anomalies in quantum physics hinge.