The mathematical state of the world – explorations into the characteristics of mathematical descriptions

Abstract

In this article we try to analyse the conditions for describing the world mathematically. We consider the role played by mathematics in discussing and analysing „the state of the world‟. We use this discussion to clarify what it means to use a mathematical description. We illustrate why the concepts of „mathematical description‟ and „mathematical model‟ are inadequate to evaluate the use of mathematics in decision-making processes. As a result we develop a conceptual framework that is complex enough to match what goes on in scenarios involving applications of mathematics.

Keywords

• Mathematics
• Application of mathematics
• Mathematical modelling
• Decision making