Randomnicity: Rules And Randomness In The Realm Of The Infinite
Seiten
2008
Imperial College Press (Verlag)
978-1-84816-205-1 (ISBN)
Imperial College Press (Verlag)
978-1-84816-205-1 (ISBN)
Explores the definition, sources and role of randomness. This book explains as to why rules and randomness cannot exist by themselves, but instead have to coexist. It also presents examples, ranging from pure mathematical to natural and social processes, that demonstrate how the combination of rules and randomness produces the world we live in.
This unique book explores the definition, sources and role of randomness. A joyful discussion with many non-mathematical and mathematical examples leads to the identification of three sources of randomness: randomness due to irreversibility which inhibits us from extracting whatever rules may underlie a process, randomness due to our inability to have infinite power (chaos), and randomness due to many interacting systems. Here, all sources are found to have something in common: infinity. The discussion then moves to the physical system (our universe). Through the quantum mechanical character of small scales, the second law of thermodynamics and chaos, randomness is shown to be an intrinsic property of nature — this is consistent with the three sources of randomness identified above. Finally, an explanation is given as to why rules and randomness cannot exist by themselves, but instead have to coexist. Many examples are presented, ranging from pure mathematical to natural and social processes, that clearly demonstrate how the combination of rules and randomness produces the world we live in.
This unique book explores the definition, sources and role of randomness. A joyful discussion with many non-mathematical and mathematical examples leads to the identification of three sources of randomness: randomness due to irreversibility which inhibits us from extracting whatever rules may underlie a process, randomness due to our inability to have infinite power (chaos), and randomness due to many interacting systems. Here, all sources are found to have something in common: infinity. The discussion then moves to the physical system (our universe). Through the quantum mechanical character of small scales, the second law of thermodynamics and chaos, randomness is shown to be an intrinsic property of nature — this is consistent with the three sources of randomness identified above. Finally, an explanation is given as to why rules and randomness cannot exist by themselves, but instead have to coexist. Many examples are presented, ranging from pure mathematical to natural and social processes, that clearly demonstrate how the combination of rules and randomness produces the world we live in.
The Three Parts of Everything; Sources of Randomness; Randomness in the Universe; The Emergence of Reality; The Role of Randomness.
| Erscheint lt. Verlag | 24.9.2008 |
|---|---|
| Verlagsort | London |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik |
| ISBN-10 | 1-84816-205-7 / 1848162057 |
| ISBN-13 | 978-1-84816-205-1 / 9781848162051 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Von Logik und Mengenlehre bis Zahlen, Algebra, Graphen und …
Buch | Softcover (2024)
De Gruyter Oldenbourg (Verlag)
CHF 104,90
Grundlagen für das Bachelor-Studium
Buch | Hardcover (2023)
Hanser (Verlag)
CHF 55,95
