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Introduction

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 me first 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 spirit, they are a pure product of the human mind.

Therefore, an answer to the above 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. Like mathematics, also theoretical physics and computer sciences belong to structural sciences. Structural sciences deal with patterns and structures.

For instance, in mathematics,

  • the disciplines of geometry study the patterns and structures of space,
  • differential equations describe the patterns and structures of movement,
  • probability theory and statistics deal with the patterns and structures of randomness,
  • logic is the discipline studying the patterns and structures governing formal argumentation,
  • topology fathoms the patterns and structures of position and location.

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.

| | | | Contributors: bookofproofs | References: [641]

1.What is the axiomatic method?

2.Is the axiomatic method important for education?

3.Criticisim of the axiomatic method


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Bibliography (further reading)

[641] Govers, Timothy: “The Princeton Companion to Mathematics”, Princeton University Press, 2008

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