The author addresses the question: Is it possible to integrate math and science? The metaphor of divorce is used to distinguish mathematics’ reliance on quantitative methods from science’s requirements for tools to encode structural and quantitative relationships. The reader’s attention is engaged by inviting them to experience varying degrees of cognitive dissonance as they struggle to understand quantitatively, problems that require the integration of both. The reader is guided, through the introduction of structurally based axioms, into the development of a mathematics where the symbols have quantitative and structural referents.
Robert MacDuff