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The Mathematics of the Gods and the Algorithms of Men
A Cultural History
Paolo Zellini
- 240 pages
- English
- ePUB (adapté aux mobiles)
- Disponible sur iOS et Android
The Mathematics of the Gods and the Algorithms of Men
A Cultural History
Paolo Zellini
Ă propos de ce livre
A masterful cultural history of mathematics from bestselling Italian mathematician and philosopher Paolo Zellini. Is mathematics a discovery or an invention? Have we invented numbers or do they truly exist? What sort of reality should we attribute to them? Mathematics has always been a way of understanding and ordering the world: from sacred ancient texts and pre-Socratic philosophers to twentieth-century logicians such as Russell and Frege and beyond. In this masterful, elegant book, mathematician and philosopher Paolo Zellini offers a brief cultural and intellectual history of mathematics, from ancient Greece to India to our contemporary obsession with algorithms, showing how mathematical thinking is inextricably linked with philosophical, existential and religious questionsâand indeed with our cosmic understanding of the world.
Foire aux questions
Informations
Table des matiĂšres
- Cover
- Title Page
- Introduction
- 1. Abstraction, Existence and Reality
- 2. Mathematics of the Gods
- 3. Mathematical and Philosophical Formulas
- 4. Growth and Decrease, Number and Nature
- 5. KatĂ gnĂłmonos phĂœsinââ: The Nature of the Gnomon
- 6. DĂœnamis: The Capacity to Produce
- 7. Intermission: Spiritual Mechanics
- 8. Zenoâs Paradoxes: The Explanation of Movement
- 9. The Paradoxes of Plurality
- 10. The Limited and the Limitless: Incommensurability and Algorithms
- 11. The Reality of Numbers: Cantorâs Fundamental Sequences
- 12. The Reality of Numbers: Dedekindâs Sections
- 13. Mathematics: A Discovery or an Invention?
- 14. From the Continuum to the Digital
- 15. The Growth of Numbers
- 16. The Growth of Matrices
- 17. The Crisis of Fundamentals and the Growth of Complexity: Reality and Efficiency
- 18. Verum et Factum
- 19. Recursion and Invariability
- About the Author
- Notes
- Index
- Copyright