Randomnicity: rules and randomness in the realm of the infinite
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London
Imperial College Press
c2008
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. 175-187) and index Pt. I. 1. The three parts of everything. 2. Gödel visits Escher's studio. Gödel's theorem. 3. Slippery road. 4. Fuller than full. 5. Cantor would have been pleased -- pt. II. Sources of randomness. 6. A private lesson a long, long time ago. 7. The five faces of order. 8. Randomness of the first kind. 9. Randomness of the second kind. 10. Randomness of the third kind -- pt. III. Randomness in the universe. 11. From Aristotle to Einstein. 12. The world according to an electron. 13. Chaos. 14. The supreme law. 15. Randomness of the fourth kind? 16. Connections. 17. Allowed behaviors -- Part IV. The emergence of the real world. 18. The fractal character of nature. 19. Physics plus randomness. 20. Stochastic processes. 21. Self-organization. 22. The blueprint of life. 23. Human products and social phenomena. 24. The principle of minimum energy consumption -- pt. V. The role of randomness. 25. Efficiency, paradoxes and beauty 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 |
| Beschreibung: | 1 Online-Ressource (xii, 191 p.) |
| ISBN: | 1848161972 1848161980 9781848161979 9781848161986 |
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| 500 | |a Includes bibliographical references (p. 175-187) and index | ||
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| 500 | |a 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 | ||
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Datensatz im Suchindex
| _version_ | 1804175452515860480 |
|---|---|
| any_adam_object | |
| author | Tsonis, Anastasios A. |
| author_facet | Tsonis, Anastasios A. |
| author_role | aut |
| author_sort | Tsonis, Anastasios A. |
| author_variant | a a t aa aat |
| building | Verbundindex |
| bvnumber | BV043070079 |
| classification_rvk | SK 350 SK 520 SK 820 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)747539676 (DE-599)BVBBV043070079 |
| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043070079 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:16:31Z |
| institution | BVB |
| isbn | 1848161972 1848161980 9781848161979 9781848161986 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028494271 |
| oclc_num | 747539676 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xii, 191 p.) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Imperial College Press |
| record_format | marc |
| spelling | Tsonis, Anastasios A. Verfasser aut Randomnicity rules and randomness in the realm of the infinite Anastasios A. Tsonis London Imperial College Press c2008 1 Online-Ressource (xii, 191 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (p. 175-187) and index Pt. I. 1. The three parts of everything. 2. Gödel visits Escher's studio. Gödel's theorem. 3. Slippery road. 4. Fuller than full. 5. Cantor would have been pleased -- pt. II. Sources of randomness. 6. A private lesson a long, long time ago. 7. The five faces of order. 8. Randomness of the first kind. 9. Randomness of the second kind. 10. Randomness of the third kind -- pt. III. Randomness in the universe. 11. From Aristotle to Einstein. 12. The world according to an electron. 13. Chaos. 14. The supreme law. 15. Randomness of the fourth kind? 16. Connections. 17. Allowed behaviors -- Part IV. The emergence of the real world. 18. The fractal character of nature. 19. Physics plus randomness. 20. Stochastic processes. 21. Self-organization. 22. The blueprint of life. 23. Human products and social phenomena. 24. The principle of minimum energy consumption -- pt. V. The role of randomness. 25. Efficiency, paradoxes and beauty 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 MATHEMATICS / Probability & Statistics / General bisacsh Chaotic behavior in systems fast Infinite fast Stochastic processes fast Chaotic behavior in systems Stochastic processes Infinite Zufall (DE-588)4068050-2 gnd rswk-swf Chaotisches System (DE-588)4316104-2 gnd rswk-swf Chaotisches System (DE-588)4316104-2 s Zufall (DE-588)4068050-2 s 1\p DE-604 World Scientific (Firm) Sonstige oth Erscheint auch als Druck-Ausgabe, Paperback 1-84816-205-7 Erscheint auch als Druck-Ausgabe, Paperback 978-1-84816-205-1 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=516751 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Tsonis, Anastasios A. Randomnicity rules and randomness in the realm of the infinite MATHEMATICS / Probability & Statistics / General bisacsh Chaotic behavior in systems fast Infinite fast Stochastic processes fast Chaotic behavior in systems Stochastic processes Infinite Zufall (DE-588)4068050-2 gnd Chaotisches System (DE-588)4316104-2 gnd |
| subject_GND | (DE-588)4068050-2 (DE-588)4316104-2 |
| title | Randomnicity rules and randomness in the realm of the infinite |
| title_auth | Randomnicity rules and randomness in the realm of the infinite |
| title_exact_search | Randomnicity rules and randomness in the realm of the infinite |
| title_full | Randomnicity rules and randomness in the realm of the infinite Anastasios A. Tsonis |
| title_fullStr | Randomnicity rules and randomness in the realm of the infinite Anastasios A. Tsonis |
| title_full_unstemmed | Randomnicity rules and randomness in the realm of the infinite Anastasios A. Tsonis |
| title_short | Randomnicity |
| title_sort | randomnicity rules and randomness in the realm of the infinite |
| title_sub | rules and randomness in the realm of the infinite |
| topic | MATHEMATICS / Probability & Statistics / General bisacsh Chaotic behavior in systems fast Infinite fast Stochastic processes fast Chaotic behavior in systems Stochastic processes Infinite Zufall (DE-588)4068050-2 gnd Chaotisches System (DE-588)4316104-2 gnd |
| topic_facet | MATHEMATICS / Probability & Statistics / General Chaotic behavior in systems Infinite Stochastic processes Zufall Chaotisches System |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=516751 |
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