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Infinity and the Mind

The Science and Philosophy of the Infinite

Rudolf V Rucker

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

A dynamic exploration of infinity

In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the “Mindscape,” where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Using cartoons, puzzles, and quotations to enliven his text, Rucker acquaints us with staggeringly advanced levels of infinity, delves into the depths beneath daily awareness, and explains Kurt Gödel’s belief in the possibility of robot consciousness. In the realm of infinity, mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise, we gain profound insights into the human mind, its powers, and its limitations. This Princeton Science Library edition includes a new preface by the author.

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Schlagwörter

Method of exhaustion, Integer, Ordinal number, The Philosopher, Instance (computer science), Complete theory, Polynomial, Coefficient, Surreal number, Hyperreal number, Sign (mathematics), Mathematician, Axiom, Infinite divisibility (probability), Douglas Hofstadter, Axiom of infinity, Transfinite number, Gödel's incompleteness theorems, Equation, Tetration, Prime number, Time travel, Commutative property, Martin's axiom, Cardinality, Theory, Quantum mechanics, Summation, Set theory, Mathematics, Subset, Real number, Ultrafilter, Exponentiation, Fermat's Last Theorem, Transcendental number, Measurable cardinal, Infinitesimal, Many-worlds interpretation, Zeno's paradoxes, Richard's paradox, Contradiction, Number theory, Cantor's theorem, Zermelo–Fraenkel set theory, Thought, Space, Theorem, Goldbach's conjecture, Calculation, Inaccessible cardinal, Infinity symbol, Hilbert's program, Infinite monkey theorem, Continuum hypothesis, Monism, Natural number, Divergent series, Infinity, Infinity and the Mind, Special relativity, Superspace, Transfinite, Limit cardinal, Burali-Forti paradox, Mental space, Berry paradox, Actual infinity, Parity (mathematics), Conjecture