While acknowledging the close correspondence of some aspects of nature and their mathematical description, attention is drawn to persistent errors in use of mathematics in physics. These are firstly category errors, not correctly differentiating or correctly identifying the elements of reality being considered. Einstein's Theory of Relativity is shown to foster a fundamental mis-identification, apparent via the associated paradoxes. Discussion of whether the Moon exists while not looking at it identifies lack of categorization as the fundamental problem. Schrödinger’s cat is examined with regard to category error. Mis-identification regarding polarized light and electron spin states is considered. Thus the need to categorize and clearly identify elements of reality under consideration is highlighted. Secondly error born inference from incomplete information, due to failure to reconcile elements of reality, and knowledge, across the Reality interface is considered. This is found in Quantum physics and has a parallel in the art of illusion. Entanglement is examined in this regard. An appeal is made to apply the Structure of reality as a framework in which mathematics in physics is restrained, unlike pure mathematics. Ending with the trick of taking a rabbit out of a hat without reality reconciliation, and after the Structure of reality diagram, shown with full reality reconciliation. The Reality in the Context of physics explanatory framework diagram is re-presented. Differentiating colors are used throughout to assist the reader. Lilac is just highlighting important points. Blue, yellow, orange correspond to those used on the structure of reality diagram provided. Showing which side the events and or elements of reality are located, with respect to the Reality interface and other aspects of reality. The actual structure of reality can not be simplified. I have attempted to make discussion concerning it and its use in physics clearer by use of symbolic notation, new diagram and color.
Georgina Woodward