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...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2024
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| Series: | Cambridge elements
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| Subjects: | |
| Links: | https://doi.org/10.1017/9781009047623?locatt=mode:legacy https://doi.org/10.1017/9781009047623?locatt=mode:legacy https://doi.org/10.1017/9781009047623?locatt=mode:legacy https://doi.org/10.1017/9781009047623?locatt=mode:legacy https://doi.org/10.1017/9781009047623?locatt=mode:legacy |
| Summary: | 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. |
| Item Description: | Title from publisher's bibliographic system (viewed on 10 Jan 2025) |
| Physical Description: | 1 Online-Ressource (71 Seiten) |
| ISBN: | 9781009047623 |
| DOI: | 10.1017/9781009047623 |
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| isbn | 9781009047623 |
| language | English |
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| spelling | Zarepour, Mohammad Saleh Verfasser aut Medieval finitism Mohammad Saleh Zarepour Cambridge Cambridge University Press 2024 1 Online-Ressource (71 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge elements Title from publisher's bibliographic system (viewed on 10 Jan 2025) 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. Finite, The / History / To 1500 Mathematics / Philosophy Philosophy, Medieval Erscheint auch als Druck-Ausgabe 9781009618434 Erscheint auch als Druck-Ausgabe 9781009048507 https://doi.org/10.1017/9781009047623?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Medieval finitism Finite, The / History / To 1500 Mathematics / Philosophy Philosophy, Medieval Zarepour, Mohammad Saleh |
| 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 |
| topic | Finite, The / History / To 1500 Mathematics / Philosophy Philosophy, Medieval |
| topic_facet | Finite, The / History / To 1500 Mathematics / Philosophy Philosophy, Medieval |
| url | https://doi.org/10.1017/9781009047623?locatt=mode:legacy |
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