Infinity, causation, and paradox:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Oxford, United Kingdom
Oxford University Press
2018
|
| Ausgabe: | First edition |
| Schlagwörter: | |
| Abstract: | Infinity is paradoxical in many ways. Some paradoxes involve deterministic supertasks, such as Thomson's Lamp, where a switch is toggled an infinite number of times over a finite period of time, or the Grim Reaper, where it seems that infinitely many reapers can produce a result without doing anything. Others involve infinite lotteries. If you get two tickets from an infinite fair lottery where tickets are numbered from 1, no matter what number you saw on the first ticket, it is almost certain that the other ticket has a bigger number on it. And others center on paradoxical results in decision theory, such as the surprising observation that if you perform a sequence of fair coin flips that goes infinitely far back into the past but only finitely into the future, you can leverage information about past coin flips to predict future ones with only finitely many mistakes. Alexander R. Pruss examines this seemingly large family of paradoxes. He establishes that these paradoxes and numerous others all have a common structure: their most natural embodiment involves an infinite number of items causally impinging on a single output. These paradoxes, he argues, can all be resolved by embracing 'causal finitism', the view that it is impossible for a single output to have an infinite causal history. Throughout the book, Pruss exposits such paradoxes, defends causal finitism at length, and considers connections with the philosophy of physics (where causal finitism favors but does not require discretist theories of space and time) and the philosophy of religion (with a cosmological argument for a first cause) |
| Umfang: | ix, 207 Seiten Illustrationen 24 cm |
| ISBN: | 0198810334 9780198810339 |
Internformat
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| 520 | 3 | |a Infinity is paradoxical in many ways. Some paradoxes involve deterministic supertasks, such as Thomson's Lamp, where a switch is toggled an infinite number of times over a finite period of time, or the Grim Reaper, where it seems that infinitely many reapers can produce a result without doing anything. Others involve infinite lotteries. If you get two tickets from an infinite fair lottery where tickets are numbered from 1, no matter what number you saw on the first ticket, it is almost certain that the other ticket has a bigger number on it. And others center on paradoxical results in decision theory, such as the surprising observation that if you perform a sequence of fair coin flips that goes infinitely far back into the past but only finitely into the future, you can leverage information about past coin flips to predict future ones with only finitely many mistakes. Alexander R. Pruss examines this seemingly large family of paradoxes. He establishes that these paradoxes and numerous others all have a common structure: their most natural embodiment involves an infinite number of items causally impinging on a single output. These paradoxes, he argues, can all be resolved by embracing 'causal finitism', the view that it is impossible for a single output to have an infinite causal history. Throughout the book, Pruss exposits such paradoxes, defends causal finitism at length, and considers connections with the philosophy of physics (where causal finitism favors but does not require discretist theories of space and time) and the philosophy of religion (with a cosmological argument for a first cause) | |
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Datensatz im Suchindex
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| author | Pruss, Alexander R. 1973- |
| author_GND | (DE-588)1020714948 |
| author_facet | Pruss, Alexander R. 1973- |
| author_role | aut |
| author_sort | Pruss, Alexander R. 1973- |
| author_variant | a r p ar arp |
| building | Verbundindex |
| bvnumber | BV045265459 |
| classification_rvk | CC 2600 SG 700 |
| ctrlnum | (OCoLC)1059130836 (DE-599)BVBBV045265459 |
| discipline | Mathematik Philosophie |
| edition | First edition |
| format | Book |
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| id | DE-604.BV045265459 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T18:22:30Z |
| institution | BVB |
| isbn | 0198810334 9780198810339 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030653316 |
| oclc_num | 1059130836 |
| open_access_boolean | |
| owner | DE-12 DE-19 DE-BY-UBM DE-20 |
| owner_facet | DE-12 DE-19 DE-BY-UBM DE-20 |
| physical | ix, 207 Seiten Illustrationen 24 cm |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | Oxford University Press |
| record_format | marc |
| spelling | Pruss, Alexander R. 1973- Verfasser (DE-588)1020714948 aut Infinity, causation, and paradox Alexander R. Pruss Infinity, causation, & paradox First edition Oxford, United Kingdom Oxford University Press 2018 ix, 207 Seiten Illustrationen 24 cm txt rdacontent n rdamedia nc rdacarrier Infinity is paradoxical in many ways. Some paradoxes involve deterministic supertasks, such as Thomson's Lamp, where a switch is toggled an infinite number of times over a finite period of time, or the Grim Reaper, where it seems that infinitely many reapers can produce a result without doing anything. Others involve infinite lotteries. If you get two tickets from an infinite fair lottery where tickets are numbered from 1, no matter what number you saw on the first ticket, it is almost certain that the other ticket has a bigger number on it. And others center on paradoxical results in decision theory, such as the surprising observation that if you perform a sequence of fair coin flips that goes infinitely far back into the past but only finitely into the future, you can leverage information about past coin flips to predict future ones with only finitely many mistakes. Alexander R. Pruss examines this seemingly large family of paradoxes. He establishes that these paradoxes and numerous others all have a common structure: their most natural embodiment involves an infinite number of items causally impinging on a single output. These paradoxes, he argues, can all be resolved by embracing 'causal finitism', the view that it is impossible for a single output to have an infinite causal history. Throughout the book, Pruss exposits such paradoxes, defends causal finitism at length, and considers connections with the philosophy of physics (where causal finitism favors but does not require discretist theories of space and time) and the philosophy of religion (with a cosmological argument for a first cause) Kausalität (DE-588)4030102-3 gnd rswk-swf Verursachung (DE-588)4374080-7 gnd rswk-swf Unendlichkeit (DE-588)4136067-9 gnd rswk-swf Regressus in infinitum (DE-588)4363488-6 gnd rswk-swf Paradoxon (DE-588)4044593-8 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Infinite Causation Paradox Necessity (Philosophy) Regressus in infinitum (DE-588)4363488-6 s Verursachung (DE-588)4374080-7 s Paradoxon (DE-588)4044593-8 s DE-604 Unendlichkeit (DE-588)4136067-9 s Kausalität (DE-588)4030102-3 s Physik (DE-588)4045956-1 s |
| spellingShingle | Pruss, Alexander R. 1973- Infinity, causation, and paradox Kausalität (DE-588)4030102-3 gnd Verursachung (DE-588)4374080-7 gnd Unendlichkeit (DE-588)4136067-9 gnd Regressus in infinitum (DE-588)4363488-6 gnd Paradoxon (DE-588)4044593-8 gnd Physik (DE-588)4045956-1 gnd |
| subject_GND | (DE-588)4030102-3 (DE-588)4374080-7 (DE-588)4136067-9 (DE-588)4363488-6 (DE-588)4044593-8 (DE-588)4045956-1 |
| title | Infinity, causation, and paradox |
| title_alt | Infinity, causation, & paradox |
| title_auth | Infinity, causation, and paradox |
| title_exact_search | Infinity, causation, and paradox |
| title_full | Infinity, causation, and paradox Alexander R. Pruss |
| title_fullStr | Infinity, causation, and paradox Alexander R. Pruss |
| title_full_unstemmed | Infinity, causation, and paradox Alexander R. Pruss |
| title_short | Infinity, causation, and paradox |
| title_sort | infinity causation and paradox |
| topic | Kausalität (DE-588)4030102-3 gnd Verursachung (DE-588)4374080-7 gnd Unendlichkeit (DE-588)4136067-9 gnd Regressus in infinitum (DE-588)4363488-6 gnd Paradoxon (DE-588)4044593-8 gnd Physik (DE-588)4045956-1 gnd |
| topic_facet | Kausalität Verursachung Unendlichkeit Regressus in infinitum Paradoxon Physik |
| work_keys_str_mv | AT prussalexanderr infinitycausationandparadox AT prussalexanderr infinitycausationparadox |