Mathematics ... Applications
Snorre H. Christiansen
TL;DR
This paper explores the nature of mathematics as a formal, relational science integral to scientific modeling, computing, and paradigm shifts, emphasizing its artistic and transformative roles.
Contribution
It offers a philosophical perspective on mathematics as an art and science, highlighting its applications and influence across various scientific disciplines.
Findings
Mathematics is defined as formalized thinking and relation science.
Mathematics plays a key role in scientific modeling and computing.
It acts as a catalyst for paradigm changes in science.
Abstract
We consider a definition of mathematics as the art of thinking in terms of formalized systems, and the science of relations, structures and algorithms. We also touch upon the relation of mathematics to other sciences, in particular through modelling and scientific computing. We discuss mathematics as a martial art and a key to paradigm changes.
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Taxonomy
TopicsComputability, Logic, AI Algorithms