{"_index":"sire","_type":"_doc","_id":"1363","_score":null,"_ignored":["booksection.book.abstract.keyword"],"_source":{"id":1363,"authors_free":[{"id":2050,"entry_id":1363,"agent_type":"person","is_normalised":1,"person_id":214,"institution_id":null,"role":{"id":1,"role_name":"author"},"free_name":"Karasmanis, Vassilis","free_first_name":"Vassilis","free_last_name":"Karasmanis","norm_person":{"id":214,"first_name":"Vassilis","last_name":"Karasmanis","full_name":"Karasmanis, Vassilis","short_ident":"","is_classical_name":null,"dnb_url":"http:\/\/d-nb.info\/gnd\/1190132680","viaf_url":"","db_url":"","from_claudius":null}},{"id":2403,"entry_id":1363,"agent_type":"person","is_normalised":null,"person_id":463,"institution_id":null,"role":{"id":2,"role_name":"editor"},"free_name":"Longo, Angela","free_first_name":"Angela","free_last_name":"Longo","norm_person":{"id":463,"first_name":"Angela","last_name":"Longo","full_name":"Longo, Angela","short_ident":"","is_classical_name":null,"dnb_url":"http:\/\/d-nb.info\/gnd\/1113305118","viaf_url":"","db_url":"","from_claudius":null}},{"id":2404,"entry_id":1363,"agent_type":"person","is_normalised":1,"person_id":464,"institution_id":null,"role":{"id":2,"role_name":"editor"},"free_name":"Del Forno, Davide (Coll.)","free_first_name":"Davide","free_last_name":"Del Forno","norm_person":{"id":464,"first_name":"Davide","last_name":"Del Forno","full_name":"Del Forno, Davide","short_ident":"","is_classical_name":null,"dnb_url":"http:\/\/d-nb.info\/gnd\/1070718955","viaf_url":"","db_url":"","from_claudius":null}}],"entry_title":"\u0391\u03a0\u0391\u0393\u03a9\u0393\u0397: The method of Hippocrates of Chios and Plato's hypothetical method in the Meno","main_title":{"title":"\u0391\u03a0\u0391\u0393\u03a9\u0393\u0397: The method of Hippocrates of Chios and Plato's hypothetical method in the Meno"},"abstract":"In this essay, I am going to argue that the Greek geometer of the late fifth century B.C. Hippocrates of Chios1 was the first who systematically employed a method of indirect proof called apagoge (reduction). Apagoge is probably the early stage of the geo\u00admetrical method of analysis and synthesis, and consists roughly in reducing one problem (or theorem) to another. Reductions can \r\nbe continued until we arrive at something already known, or at something that is possible to be solved directly. Finally, I shall support the view that \u00abthe method of geometers\u00bb to which Plato \r\nrefers in the Meno is the geometrical method of apagoge. [introduction, p. 21]","btype":2,"date":"2011","language":"English","online_url":"","online_resources":"https:\/\/uni-koeln.sciebo.de\/s\/0VGhhdXeEliWPq6","doi_url":null,"categories":[],"authors":[{"id":214,"full_name":"Karasmanis, Vassilis","role":{"id":1,"role_name":"author"}},{"id":463,"full_name":"Longo, Angela","role":{"id":2,"role_name":"editor"}},{"id":464,"full_name":"Del Forno, Davide","role":{"id":2,"role_name":"editor"}}],"book":null,"booksection":{"id":1363,"section_of":355,"pages":"21-41","is_catalog":null,"book":{"id":355,"bilderberg_idno":null,"dare_idno":null,"catalog_idno":null,"entry_type":null,"type":4,"language":"no language selected","title":"Argument from Hypothesis in Ancient Philosophy","title_transcript":"","title_translation":"","short_title":"Longo2011","has_no_author":null,"volume":null,"date":"2011","edition_no":null,"free_date":"2011","abstract":"This volume offers an over-arching study of teh use of hypothetical arguments in ancient philosophy. It may claim to be pioneering inasmuch as it considers texts and authors from the classical period from the Hellenistic age, and from late antiquity. Its order is chronological: from Plato to Damascius. Its approach is plural: there are historico-critical essays and there are pieces of a more theoretical nature; the theoretical parts of the volume aim to explain what sort of thing a hypothesis is, what marks off arguments based upon hypotheses from other arguments, what rules of inference hypothetical argumentation invokes, what a hypothecial argument may hope to achieve, and so on. \r\nThe primary aspiration of the volume is to provide a wide view of a subject which, insofar as it is in itself semwhat technical, tends to attract a nice and narrow inspection. Thus one criterion which contributors have been encouraged to observe is this: the use of hypothetical arguments - or of the \"hypothetical method\" - should be considered not in isolation but rather in connection with the other dialectical procedures of division, definition, demonstration, and analysis. The volume makes a first step towrds a synthetic account of the use of hypotheses in ancient dialectic. ","republication_of":null,"online_url":"","online_resources":"https:\/\/uni-koeln.sciebo.de\/s\/ABkBQ3CmiH2yDCa","translation_of":null,"new_edition_of":null,"is_catalog":0,"in_bibliography":0,"is_inactive":0,"notes":null,"doi_url":null,"book":{"id":355,"pubplace":"Napoli","publisher":"Bibliopolis","series":"","volume":"","edition_no":null,"valid_from":null,"valid_until":null}}},"article":{"id":1363,"journal_id":null,"journal_name":"The International Journal of the Platonic Tradition","volume":"8","issue":"1","pages":"21-41"}},"sort":["\u0391\u03a0\u0391\u0393\u03a9\u0393\u0397: The method of Hippocrates of Chios and Plato's hypothetical method in the Meno"]}