Apeiron-A Journal for Ancient Philosophy and Science最新文献

Competing Roles of Aristotle’s Account of the Infinite 亚里士多德对无限的描述的竞争角色

Apeiron-A Journal for Ancient Philosophy and Science Pub Date : 2023-11-10 DOI: 10.1515/apeiron-2023-0006

Robby Finley

{"title":"Competing Roles of Aristotle’s Account of the Infinite","authors":"Robby Finley","doi":"10.1515/apeiron-2023-0006","DOIUrl":"https://doi.org/10.1515/apeiron-2023-0006","url":null,"abstract":"Abstract There are two distinct but interrelated questions concerning Aristotle’s account of infinity that have been the subject of recurring debate. The first of these, what I call here the interpretative question, asks for a charitable and internally coherent interpretation of the limited pieces of text where Aristotle outlines his view of the ‘potential’ (and not ‘actual’) infinite. The second, what I call here the philosophical question, asks whether there is a way to make Aristotle’s notion of the potential infinite coherent and rigorous with modern tools that can stand as a rival to the widely-accepted view of the infinite as characterized in a mathematical theory of sets. In this paper, I argue that the theoretical roles that Aristotle intends his account of the potential infinite to fulfill lead to a deep and irresoluble tension that can help explain the persistence of debates on both of these questions. I do so by turning to the places where Aristotle attempts to argue for or against the existence of particular infinite processes to show that he slides between different underlying notions of when changes are possible. Making these underlying notions clear can help us better understand the role of Aristotle’s account in the history of philosophy, the possible pitfalls for a contemporary theory of the potential infinite, and what each of these debates might learn from each other.","PeriodicalId":42543,"journal":{"name":"Apeiron-A Journal for Ancient Philosophy and Science","volume":"57 10","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135091769","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

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Poetic Imitation: The Argument of Republic 10 诗歌模仿:《理想国》的论证

Apeiron-A Journal for Ancient Philosophy and Science Pub Date : 2023-11-10 DOI: 10.1515/apeiron-2023-0030

Sarale Ben-Asher

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The Suspicious Substrate: Calcidius on Grasping Matter 可疑底物:抓握物上的钙质

Apeiron-A Journal for Ancient Philosophy and Science Pub Date : 2023-11-06 DOI: 10.1515/apeiron-2023-0049

Nena Bobovnik

{"title":"The Suspicious Substrate: Calcidius on Grasping Matter","authors":"Nena Bobovnik","doi":"10.1515/apeiron-2023-0049","DOIUrl":"https://doi.org/10.1515/apeiron-2023-0049","url":null,"abstract":"Abstract In the Timaeus, Plato famously acknowledges the receptacle as extremely difficult to comprehend. It is neither intelligible (which is reserved exclusively for the Forms) nor sense-perceptible (as it is a principle far too basic). Instead, as Plato proposes, the receptacle can only be apprehended through a “bastard” sort of “reasoning” (νόθος λογισμός, Tim. 52b1-2.). This paper explores an exegesis of Plato’s claim as offered by Calcidius, the 4th century translator of and commentator on the Timaeus. I identify two distinctive methods Calcidius advances when grappling with the knowability of the material substratum that underpins our world. The first method – analysis (resolutio) – traces its intellectual lineage to earlier philosophical tradition, and Calcidius primarily uses it to uncover the proper nature and ontological characteristics of matter. Conversely, the second method corresponds to the only cognitive grasp of matter Calcidius believes humans are capable of. In his view, we can neither sense-perceive nor rationally understand matter. Instead, matter yields itself only to the cognitive mode of suspicion (suspicio). The paper provides a detailed analysis of Calcidius’ suspicio, delving into its intricacies and exploring the interrelationships between suspicio and resolutio. As such it offers a pioneering and comprehensive exploration of Calcidius’ account of the knowability of matter.","PeriodicalId":42543,"journal":{"name":"Apeiron-A Journal for Ancient Philosophy and Science","volume":"63 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135585470","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

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Frontmatter 头版头条

Apeiron-A Journal for Ancient Philosophy and Science Pub Date : 2023-10-01 DOI: 10.1515/apeiron-2023-frontmatter4

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Frontmatter 头版头条

Apeiron-A Journal for Ancient Philosophy and Science Pub Date : 2023-07-01 DOI: 10.1515/apeiron-2023-frontmatter3

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Frontmatter 头版头条

Apeiron-A Journal for Ancient Philosophy and Science Pub Date : 2023-03-29 DOI: 10.1515/apeiron-2023-frontmatter2

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