Medieval finitism:
Discussing various versions of two medieval arguments for the impossibility of infinity, this Element sheds light on early stages of the evolution of the notion of INFINITIES OF DIFFERENT SIZES. The first argument is called 'the Equality Argument' and relies on the premise that all infinit...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2024
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| Schriftenreihe: | Cambridge elements. Elements in the philosophy of mathematics
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| Links: | https://doi.org/10.1017/9781009047623 |
| Zusammenfassung: | Discussing various versions of two medieval arguments for the impossibility of infinity, this Element sheds light on early stages of the evolution of the notion of INFINITIES OF DIFFERENT SIZES. The first argument is called 'the Equality Argument' and relies on the premise that all infinities are equal. The second argument is called 'the Mapping Argument' and relies on the assumption that if one thing is mapped/ superposed upon another thing and neither exceeds the other, the two things are equal to each other. Although these arguments were initially proposed in the context of discussions against the possibility of infinities, they have played pivotal roles in the historical evolution of the notion of INFINITIES OF DIFFERENT SIZES. |
| Umfang: | 1 Online-Ressource (71 Seiten) |
| ISBN: | 9781009047623 |
| ISSN: | 2399-2883 |
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| indexdate | 2025-03-19T15:53:59Z |
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| spelling | Zarepour, Mohammad Saleh Medieval finitism Mohammad Saleh Zarepour Cambridge Cambridge University Press 2024 1 Online-Ressource (71 Seiten) txt c cr Cambridge elements. Elements in the philosophy of mathematics 2399-2883 Discussing various versions of two medieval arguments for the impossibility of infinity, this Element sheds light on early stages of the evolution of the notion of INFINITIES OF DIFFERENT SIZES. The first argument is called 'the Equality Argument' and relies on the premise that all infinities are equal. The second argument is called 'the Mapping Argument' and relies on the assumption that if one thing is mapped/ superposed upon another thing and neither exceeds the other, the two things are equal to each other. Although these arguments were initially proposed in the context of discussions against the possibility of infinities, they have played pivotal roles in the historical evolution of the notion of INFINITIES OF DIFFERENT SIZES. Erscheint auch als Druck-Ausgabe 9781009048507 Erscheint auch als Druck-Ausgabe 9781009618434 |
| spellingShingle | Zarepour, Mohammad Saleh Medieval finitism |
| title | Medieval finitism |
| title_auth | Medieval finitism |
| title_exact_search | Medieval finitism |
| title_full | Medieval finitism Mohammad Saleh Zarepour |
| title_fullStr | Medieval finitism Mohammad Saleh Zarepour |
| title_full_unstemmed | Medieval finitism Mohammad Saleh Zarepour |
| title_short | Medieval finitism |
| title_sort | medieval finitism |
| work_keys_str_mv | AT zarepourmohammadsaleh medievalfinitism |