The central focus of BoP is mathematics, theoretical physics and computer scienses. Why this focus and what do these sciences have to do with the axiomatic method?
In order to answer this question, let us first ask and answer another question: Is mathematics a natural science or does it belong to humanities?
Most of the mathematical objects and disciplines deal, in fact, with natural phenomena. However, note that the objects, which mathematicians usually deal with, i.e. numbers, vectors, matrices, equations, functions, are purely abstract. They only exist within the human mind, they are a pure product of the human thought.
Therefore, an answer to the second question can be that mathematics neither belongs to natural sciences nor to humanities. In fact, it belongs to the third kind of sciences – the structural sciences. Structural sciences deal with patterns and structures. For instance, in mathematics,
Like mathematics, also theoretical physics and computer sciences belong to structural sciences. And this is what BoP is dedicated to. The axiomatic method is a pillar of structural sciences. Therefore, structural sciences are predestined to demonstrate what axiomatic method is and how powerful and useful it is for these sciences.
| | | | created: 2017-11-27 21:13:49 | modified: 2017-11-28 00:34:17 | by: bookofproofs | references: 
 Govers, Timothy: “The Princeton Companion to Mathematics”, Princeton University Press, 2008