Finite Versus Infinite: Contributions to an Eternal Dilemma
The finite - infinite interplay is central in human thinking, from ancient philosophers and mathematicians (Zeno, Pythagoras), to modern mathe matics (Cantor, Hilbert) and computer science (Turing, Godel). Recent developments in mathematics and computer science suggest a) radically new answers to c...
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| Hauptverfasser: | , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London
Springer London
2000
|
| Ausgabe: | 1st ed. 2000 |
| Schriftenreihe: | Discrete Mathematics and Theoretical Computer Science
|
| Schlagworte: | |
| Online-Zugang: | DE-706 Volltext |
| Zusammenfassung: | The finite - infinite interplay is central in human thinking, from ancient philosophers and mathematicians (Zeno, Pythagoras), to modern mathe matics (Cantor, Hilbert) and computer science (Turing, Godel). Recent developments in mathematics and computer science suggest a) radically new answers to classical questions (e. g. , does infinity exist?, where does infinity come from?, how to reconcile the finiteness of the human brain with the infinity of ideas it produces?), b) new questions of debate (e. g. , what is the role played by randomness?, are computers capable of handling the infinity through unconventional media of computation?, how can one approximate efficiently the finite by the infinite and, conversely, the infinite by finite?). Distinguished authors from around the world, many of them architects of the mathematics and computer science for the new century, contribute to the volume. Papers are as varied as Professor Marcus' activity, to whom this volume is dedicated. They range from real analysis to DNA com puting, from linguistics to logic, from combinatorics on words to symbolic dynamics, from automata theory to geography, and so on, plus an incursion into the old history of conceptions about infinity and a list of philosophical "open problems". They are mainly mathematical and theoretical computer science texts, but not all of them are purely mathematical |
| Beschreibung: | 1 Online-Ressource (X, 374 p) |
| ISBN: | 9781447107514 |
| DOI: | 10.1007/978-1-4471-0751-4 |
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| spelling | Calude, Cristian 1952- Verfasser (DE-588)120988259 aut Finite Versus Infinite Contributions to an Eternal Dilemma by Cristian S. Calude, Gheorghe Paun 1st ed. 2000 London Springer London 2000 1 Online-Ressource (X, 374 p) txt rdacontent c rdamedia cr rdacarrier Discrete Mathematics and Theoretical Computer Science The finite - infinite interplay is central in human thinking, from ancient philosophers and mathematicians (Zeno, Pythagoras), to modern mathe matics (Cantor, Hilbert) and computer science (Turing, Godel). Recent developments in mathematics and computer science suggest a) radically new answers to classical questions (e. g. , does infinity exist?, where does infinity come from?, how to reconcile the finiteness of the human brain with the infinity of ideas it produces?), b) new questions of debate (e. g. , what is the role played by randomness?, are computers capable of handling the infinity through unconventional media of computation?, how can one approximate efficiently the finite by the infinite and, conversely, the infinite by finite?). Distinguished authors from around the world, many of them architects of the mathematics and computer science for the new century, contribute to the volume. Papers are as varied as Professor Marcus' activity, to whom this volume is dedicated. They range from real analysis to DNA com puting, from linguistics to logic, from combinatorics on words to symbolic dynamics, from automata theory to geography, and so on, plus an incursion into the old history of conceptions about infinity and a list of philosophical "open problems". They are mainly mathematical and theoretical computer science texts, but not all of them are purely mathematical Mathematics, general Mathematical Logic and Formal Languages Artificial Intelligence Computation by Abstract Devices Mathematics Mathematical logic Artificial intelligence Computers Approximation (DE-588)4002498-2 gnd rswk-swf Endlichkeit (DE-588)4152160-2 gnd rswk-swf Neuronales Netz (DE-588)4226127-2 gnd rswk-swf Zufall (DE-588)4068050-2 gnd rswk-swf Unendlichkeit (DE-588)4136067-9 gnd rswk-swf Diskrete Mathematik (DE-588)4129143-8 gnd rswk-swf (DE-588)4016928-5 Festschrift gnd-content (DE-588)4143413-4 Aufsatzsammlung gnd-content Endlichkeit (DE-588)4152160-2 s Unendlichkeit (DE-588)4136067-9 s DE-604 Zufall (DE-588)4068050-2 s Approximation (DE-588)4002498-2 s Neuronales Netz (DE-588)4226127-2 s Diskrete Mathematik (DE-588)4129143-8 s Păun, Gheorghe 1950- (DE-588)140913912 aut Erscheint auch als Druck-Ausgabe 9781852332518 Erscheint auch als Druck-Ausgabe 9781447107521 https://doi.org/10.1007/978-1-4471-0751-4 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Calude, Cristian 1952- Păun, Gheorghe 1950- Finite Versus Infinite Contributions to an Eternal Dilemma Mathematics, general Mathematical Logic and Formal Languages Artificial Intelligence Computation by Abstract Devices Mathematics Mathematical logic Artificial intelligence Computers Approximation (DE-588)4002498-2 gnd Endlichkeit (DE-588)4152160-2 gnd Neuronales Netz (DE-588)4226127-2 gnd Zufall (DE-588)4068050-2 gnd Unendlichkeit (DE-588)4136067-9 gnd Diskrete Mathematik (DE-588)4129143-8 gnd |
| subject_GND | (DE-588)4002498-2 (DE-588)4152160-2 (DE-588)4226127-2 (DE-588)4068050-2 (DE-588)4136067-9 (DE-588)4129143-8 (DE-588)4016928-5 (DE-588)4143413-4 |
| title | Finite Versus Infinite Contributions to an Eternal Dilemma |
| title_auth | Finite Versus Infinite Contributions to an Eternal Dilemma |
| title_exact_search | Finite Versus Infinite Contributions to an Eternal Dilemma |
| title_exact_search_txtP | Finite Versus Infinite Contributions to an Eternal Dilemma |
| title_full | Finite Versus Infinite Contributions to an Eternal Dilemma by Cristian S. Calude, Gheorghe Paun |
| title_fullStr | Finite Versus Infinite Contributions to an Eternal Dilemma by Cristian S. Calude, Gheorghe Paun |
| title_full_unstemmed | Finite Versus Infinite Contributions to an Eternal Dilemma by Cristian S. Calude, Gheorghe Paun |
| title_short | Finite Versus Infinite |
| title_sort | finite versus infinite contributions to an eternal dilemma |
| title_sub | Contributions to an Eternal Dilemma |
| topic | Mathematics, general Mathematical Logic and Formal Languages Artificial Intelligence Computation by Abstract Devices Mathematics Mathematical logic Artificial intelligence Computers Approximation (DE-588)4002498-2 gnd Endlichkeit (DE-588)4152160-2 gnd Neuronales Netz (DE-588)4226127-2 gnd Zufall (DE-588)4068050-2 gnd Unendlichkeit (DE-588)4136067-9 gnd Diskrete Mathematik (DE-588)4129143-8 gnd |
| topic_facet | Mathematics, general Mathematical Logic and Formal Languages Artificial Intelligence Computation by Abstract Devices Mathematics Mathematical logic Artificial intelligence Computers Approximation Endlichkeit Neuronales Netz Zufall Unendlichkeit Diskrete Mathematik Festschrift Aufsatzsammlung |
| url | https://doi.org/10.1007/978-1-4471-0751-4 |
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