Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

A Topology of MindMathematics, the Human Mind, Verbal Language: Mathematics in Mind

A Topology of Mind: Mathematics, the Human Mind, Verbal Language: Mathematics in Mind [In Chap. 1 we scoped out the domain of mathematics. In this chapter, we explore the complex relationship between mathematics, spoken language, written language, mathematical notation and mathematics as a language. We will also explore what is meant by the phrase ‘mathematics in mind’, which is the theme of the series to which this book belongs. To this end we will develop our notion of what is meant by mind and show that it is more than just the human brain but that it is intimately connected to language. We will argue that not only is mathematics a language but that one aspect of mathematical thinking contributed to the emergence of verbal language and that in turn led to the bifurcation of the brain into the mind capable of conceptualization and the development of mathematics as we know it today. We will propose that the origin of verbal language, the origin of the mind and the origin of mathematic thinking all happened at approximately the same time and that these three elements are basically hyperlinked. That is our bold hypothesis that we will develop in this chapter. In addition to this we will also examine the role that written language and hence mathematical notation played in the development of mathematical thinking and practice.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Topology of MindMathematics, the Human Mind, Verbal Language: Mathematics in Mind

Download PDF
12 pages

Loading next page...
 
/lp/springer-journals/a-topology-of-mind-mathematics-the-human-mind-verbal-language-vqFq9NE98t
Publisher
Springer International Publishing
Copyright
© The Editor(s) (if applicable) and The Author(s) 2022
ISBN
978-3-030-96435-1
Pages
9 –21
DOI
10.1007/978-3-030-96436-8_2
Publisher site
See Chapter on Publisher Site

Abstract

[In Chap. 1 we scoped out the domain of mathematics. In this chapter, we explore the complex relationship between mathematics, spoken language, written language, mathematical notation and mathematics as a language. We will also explore what is meant by the phrase ‘mathematics in mind’, which is the theme of the series to which this book belongs. To this end we will develop our notion of what is meant by mind and show that it is more than just the human brain but that it is intimately connected to language. We will argue that not only is mathematics a language but that one aspect of mathematical thinking contributed to the emergence of verbal language and that in turn led to the bifurcation of the brain into the mind capable of conceptualization and the development of mathematics as we know it today. We will propose that the origin of verbal language, the origin of the mind and the origin of mathematic thinking all happened at approximately the same time and that these three elements are basically hyperlinked. That is our bold hypothesis that we will develop in this chapter. In addition to this we will also examine the role that written language and hence mathematical notation played in the development of mathematical thinking and practice.]

Published: May 7, 2022

There are no references for this article.