{"_index":"sire","_id":"63","_score":null,"_source":{"id":63,"authors_free":[{"id":71,"entry_id":63,"agent_type":null,"is_normalised":null,"person_id":270,"institution_id":null,"role":{"id":1,"role_name":"author"},"free_name":"Mueller, Ian","free_first_name":"Ian","free_last_name":"Mueller","norm_person":{"id":270,"first_name":"Ian","last_name":"Mueller","full_name":"Mueller, Ian","short_ident":"","is_classical_name":null,"dnb_url":"","viaf_url":"","db_url":"","from_claudius":null}},{"id":2505,"entry_id":63,"agent_type":"person","is_normalised":1,"person_id":514,"institution_id":null,"role":{"id":2,"role_name":"editor"},"free_name":"Theod\u014drakopulos, I\u014dann\u0113s Nikolaou","free_first_name":"I\u014dann\u0113s Nikolaou","free_last_name":"Theod\u014drakopulos","norm_person":{"id":514,"first_name":" Io\u0304anne\u0304s Nikolaou ","last_name":"Theodo\u0304rakopoulos","full_name":"Theodo\u0304rakopoulos, Io\u0304anne\u0304s Nikolaou ","short_ident":"","is_classical_name":null,"dnb_url":"http:\/\/d-nb.info\/gnd\/117302619","viaf_url":"","db_url":"","from_claudius":null}}],"entry_title":"Aristotle and Simplicius on Mathematical Infinity","main_title":{"title":"Aristotle and Simplicius on Mathematical Infinity"},"abstract":"Aristotle was the first not only to distinguish between potential and actual infinity but also to insist that potential infinity alone is enough for mathematics thus initiating an issue still central to the philosophy of mathematics. Modern scholarship, however, has attacked Aristotle's thesis because, according to the received doctrine, it does not square with Euclidean geometry and it also seems to contravene Aristotle's belief in the finitude of the physical universe. This monograph, the first thorough study of the issue, puts Aristotle's views on infinity in the proper perspective. Through a close study of the relevant Aristotelian passages it shows that the Stagirite's theory of infinity forms a well argued philosophical position which does not bear on his belief in a finite cosmos and does not undermine the Euclidean nature of geometry. The monograph draws a much more positive picture of Aristotle's views and reaffirms his disputed stature as a serious philosopher of mathematics. This innovative and stimulating contribution will be essential reading to a wide range of scholars, including classicists, philosophers of science and mathematics as well as historians of ideas. [author's abstract]","btype":2,"date":"1981","language":"English","online_url":"","online_resources":"https:\/\/uni-koeln.sciebo.de\/s\/XpR1jO7FPHTJmR4","doi_url":null,"categories":[],"authors":[{"id":270,"full_name":"Mueller, Ian","role":{"id":1,"role_name":"author"}},{"id":514,"full_name":"Theodo\u0304rakopoulos, Io\u0304anne\u0304s Nikolaou ","role":{"id":2,"role_name":"editor"}}],"book":{"id":63,"pubplace":"Athen","publisher":"International Association for Greek Philosophy","series":"Proceedings of the World Congress on Aristotle, Ath\u00e8nes, Minist\u00e8re de la culture et des sciences","volume":"","edition_no":null,"valid_from":null,"valid_until":null},"booksection":{"id":63,"section_of":1459,"pages":"179-182","is_catalog":null,"book":{"id":1459,"bilderberg_idno":null,"dare_idno":null,"catalog_idno":null,"entry_type":"bibliography","type":4,"language":"en","title":"Proceedings of the World Congress on Aristotle, Thessaloniki August 7-14 1978","title_transcript":"","title_translation":"","short_title":"","has_no_author":null,"volume":null,"date":"1981","edition_no":null,"free_date":null,"abstract":"","republication_of":null,"online_url":"","online_resources":"https:\/\/uni-koeln.sciebo.de\/s\/O3DQotq4JIjFp7W","translation_of":null,"new_edition_of":null,"is_catalog":0,"in_bibliography":0,"is_inactive":0,"notes":null,"doi_url":null,"book":{"id":1459,"pubplace":"Athen","publisher":"Athe\u0304na : Ministry of Culture and Sciences","series":"","volume":"","edition_no":"","valid_from":null,"valid_until":null}}},"article":null},"sort":["Aristotle and Simplicius on Mathematical Infinity"]}

{"_index":"sire","_id":"952","_score":null,"_source":{"id":952,"authors_free":[{"id":1429,"entry_id":952,"agent_type":null,"is_normalised":null,"person_id":270,"institution_id":null,"role":{"id":1,"role_name":"author"},"free_name":"Mueller, Ian","free_first_name":"Ian","free_last_name":"Mueller","norm_person":{"id":270,"first_name":"Ian","last_name":"Mueller","full_name":"Mueller, Ian","short_ident":"","is_classical_name":null,"dnb_url":"","viaf_url":"","db_url":"","from_claudius":null}},{"id":1430,"entry_id":952,"agent_type":null,"is_normalised":null,"person_id":271,"institution_id":null,"role":{"id":2,"role_name":"editor"},"free_name":"Mohr, Richard D.","free_first_name":"Richard D.","free_last_name":"Mohr","norm_person":{"id":271,"first_name":"Richard D.","last_name":"Mohr","full_name":"Mohr, Richard D.","short_ident":"","is_classical_name":null,"dnb_url":"http:\/\/d-nb.info\/gnd\/132154315","viaf_url":"","db_url":"","from_claudius":null}},{"id":1431,"entry_id":952,"agent_type":null,"is_normalised":null,"person_id":272,"institution_id":null,"role":{"id":2,"role_name":"editor"},"free_name":"Sattler, Barbara M.","free_first_name":"Barbara M.","free_last_name":"Sattler","norm_person":{"id":272,"first_name":"Barbara M.","last_name":"Sattler","full_name":"Sattler, Barbara M.","short_ident":"","is_classical_name":null,"dnb_url":"http:\/\/d-nb.info\/gnd\/13210749X","viaf_url":"","db_url":"","from_claudius":null}}],"entry_title":"What's the Matter? Some Neo-Platonist Answers","main_title":{"title":"What's the Matter? Some Neo-Platonist Answers"},"abstract":"In this essay, I want to say a very few things about Neo-Platonist interpretations of the Timaeus relating to the receptacle and the geometric characterization of earth, water, air, and fire. The starting point of my reflections was translating Simplicius\u2019 commentary on books 3 and 4 of Aristotle\u2019s On the Heavens, and much of what I say is based upon that. But I will also be invoking a passage from his commentary on Aristotle\u2019s Physics and some material in John Philoponus and Proclus. I begin with some remarks about Simplicius\u2019 basic conception of what we call Aristotle\u2019s criticisms of Plato. At the beginning of his extensive discussion of Aristotle\u2019s objections to Plato\u2019s geometrical chemistry, Simplicius says:\r\n\r\n The disagreement between the philosophers <Plato and Aristotle>\r\n is not substantive, but Aristotle pays attention to those who\r\n understand Plato superficially and frequently raises objections\r\n against the apparent meaning of what Plato says and what can\r\n be understood in a worse way, and he seems to be refuting Plato.\r\n (Simplicius, On Aristotle\u2019s On the Heavens, 640, 28\u201331)\r\n\r\nSimplicius\u2019 point is not that Aristotle is a superficial reader, but that he raises objections to the surface meaning of what Plato says in order to prevent other people from espousing those superficial readings. In connection with another passage in On the Heavens in which Aristotle connects Plato\u2019s association of the cube with earth to earth\u2019s stability, Simplicius refers to Aristotle\u2019s earlier criticism of Plato for allegedly saying that the earth has a winding motion around the pole:\r\n\r\n It is worth pointing out that Aristotle does know that Plato thinks\r\n the earth is steady since it was Plato who said that it is a cube\r\n because it is stable and remains fixed. Consequently, when in\r\n the preceding book he asserted that the earth is said by Timaeus\r\n to be wound and move <around the pole>, he was confronting\r\n those who understand Timaeus\u2019 words in this way.\r\n (Simplicius, On Aristotle\u2019s On the Heavens, 662, 31\u2013663, 2)\r\n\r\nSo, Aristotle knows and shares Plato\u2019s true view, and his criticisms are all directed at the superficial readings of Plato made by others. [introduction p. 151-152]","btype":2,"date":"2010","language":"English","online_url":"","online_resources":"https:\/\/uni-koeln.sciebo.de\/s\/26CCMYYQai0hS5Z","doi_url":null,"categories":[],"authors":[{"id":270,"full_name":"Mueller, Ian","role":{"id":1,"role_name":"author"}},{"id":271,"full_name":"Mohr, Richard D.","role":{"id":2,"role_name":"editor"}},{"id":272,"full_name":"Sattler, Barbara M.","role":{"id":2,"role_name":"editor"}}],"book":null,"booksection":{"id":952,"section_of":300,"pages":"151-163","is_catalog":null,"book":{"id":300,"bilderberg_idno":null,"dare_idno":null,"catalog_idno":null,"entry_type":null,"type":4,"language":"en","title":"One Book, The Whole Universe: Plato\u2019s Timaeus Today","title_transcript":"","title_translation":"","short_title":"Mohr2010","has_no_author":null,"volume":null,"date":"2010","edition_no":null,"free_date":"2010","abstract":"This collection of original essays brings together philosophers, classicists, physicists, and architects to reveal the meaning and assess the impact of one of the most profound and influential works of Western letters - Plato's Timaeus, a work that comes as close as any to giving a comprehensive account of life, the universe, and everything, and does so in a startlingly narrow compass.\r\n\r\nThe Timaeus gives an account of the nature of god and creation, a theory of knowledge, a taxonomy of the soul and perception, and an account of objects that gods and soul might encounter... [offical abstract]","republication_of":null,"online_url":"","online_resources":"https:\/\/uni-koeln.sciebo.de\/s\/tmvgz6Nr6OBQMua","translation_of":null,"new_edition_of":null,"is_catalog":0,"in_bibliography":0,"is_inactive":0,"notes":null,"doi_url":null,"book":{"id":300,"pubplace":"Las Vegas - Zurich - Athens","publisher":"Parmenides Publishing","series":"","volume":"","edition_no":"","valid_from":null,"valid_until":null}}},"article":null},"sort":["What's the Matter? Some Neo-Platonist Answers"]}