A Topology of Mind

Spiral Thought Patterns, the Hyperlinking of Text, Ideas and More
1. Auflage 2022
ISBN: 978-3-030-96438-2
Verlag: Springer International Publishing

Buch, Englisch, 245 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 406 g

Reihe: Mathematics in Mind

This volume covers many diverse topics related in varying degrees to mathematics in mind including the mathematical and topological structures of thought and communication. It examines mathematics in mind from the perspective of the spiral, cyclic and hyperlinked structures of the human mind in terms of its language, its thoughts and its various modes of communication in science, philosophy, literature and the arts including a chapter devoted to the spiral structure of the thought of Marshall McLuhan. In it, the authors examine the topological structures of hypertext, hyperlinking, and hypermedia made possible by the Internet and the hyperlinked structures that existed before its emergence. It also explores the cognitive origins of mathematical thinking of the human mind and its relation to the emergence of spoken language, and studies the emergence of mathematical notation and its impact on education. 

Topics addressed include:
•The historical context of any topic that involves how mathematical thinking emerged, focusing on archaeological and philological evidence.

• Connection between math cognition and symbolism, annotation and other semiotic processes.

• Interrelationships between mathematical discovery and cultural processes, including technological systems that guide the thrust of cognitive and social evolution.

• Whether mathematics is an innate faculty or forged in cultural-historical context

• What, if any, structures are shared between mathematics and language

Zielgruppe

Research

Autoren/Hrsg.

Pruska-Oldenhof, Izabella

Logan, Robert K.

Fachgebiete

• Sozialwissenschaften Medien- und Kommunikationswissenschaften Kommunikationswissenschaften
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Geisteswissenschaften Sprachwissenschaft Angewandte Sprachwissenschaft
• Mathematik | Informatik Mathematik Topologie
• Sozialwissenschaften Medien- und Kommunikationswissenschaften Medienwissenschaften
• Geisteswissenschaften Philosophie Moderne Philosophische Disziplinen Philosophie des Geistes, Neurophilosophie

Inhaltsverzeichnis

Part I: Mathematics in Mind.- 1. The Origins of Mathematics in the Mind.- 2. Mathematics, the Human Mind, Verbal Language.- 3. Mathematics, Writing, and Notation.- 4. Mathematics, Deductive Logic, and Abstract Science.- 5. Computing and the Internet.- Part II: Spiral Patterns in Nature and Human Thought.- 6. The Mathematical Structure of Cyclic Phenomena.- 7. Spiral and Cyclic Structures in the Abiotic Inorganic Material World.- 8. Life is a Spiral and it is Cyclic.- 9. Spiral Thought Structures in History and Philosophy.- 10. The Spiral Structure of Marshall McLuhan's Thinking.- 11. Spirals and the Arts.- Part III. Hyperlinking as Patterns of Connection.- 12. Pre-Digital Forms of Hypertext.- 13. Hypertext in the Digital Domain of Cyberspace.- 14. Hypermedia.- 15. Hyperlinking in the Spheres.- Epilogue.- References.