The book The Grand Unified Theory of Physics (GUT) purportedly can describe anything which can occur in the universe; all the results of the book are derived from the postulated classical mechanics of inert, elastic, spherical, smooth, identical particles moving and colliding in an absolute space of three dimensions (GUT 1). Thus, the mathematics required is that required to describe classical mechanics.  The mathematics required is that for describing the locations and velocities of identical particles as they change while time passes.  The foundations of mathematics thus must give us set theory and the real number system.  These foundations are begun in the book Foundations of Language.  Also see the outline in Principles of Science (POS 29-75). Finally, the list of books in the Encyclopedia of Unified Physics traces the mathematics from its beginnings in Foundations of Language to the book Vectorial Mechanics which includes the mathematics required for the analyses in the Grand Unified Theory of Physics.

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