The mathematics of the gods and the algorithms of men a cultural history
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Format: | Buch |
Sprache: | English |
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New York ; London
Pegasus Books
May 2020
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Ausgabe: | First Pegasus Books edition |
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Inhaltsangabe:
- Abstraction, existence and reality
- Mathematics of the gods
- Mathematical and philosophical formulas
- Growth and decrease, number and nature
- Katà gnómonos phýsin: the nature of the Gnomon
- Dýnamis: the capacity to produce
- Intermission: spiritual mechanics
- Zeno's paradoxes: the explanation of movement
- The paradoxes of plurality
- The limited and the limitless: incommensurability and algorithms
- The reality of numbers: Cantor's fundamental sequences
- The reality of numbers: Dedekind's section
- Mathematics: a discovery or an invention?
- From the continuum to the digital
- The growth of numbers
- The growth of matrices
- The crisis of fundamentals and the growth of complexity: reality and efficiency
- Verum et factum
- Recursion and invariability