{"id":12445,"date":"2023-11-23T16:25:00","date_gmt":"2023-11-23T16:25:00","guid":{"rendered":"https:\/\/blogs.uned.es\/metis\/?page_id=12445"},"modified":"2023-11-23T16:25:00","modified_gmt":"2023-11-23T16:25:00","slug":"joan-bertran-san-millan","status":"publish","type":"page","link":"https:\/\/blogs.uned.es\/metis\/other_events\/joan-bertran-san-millan\/","title":{"rendered":"Joan Bertran-San Mill\u00e1n"},"content":{"rendered":"\n

Joan Bertran-San Mill\u00e1n: Frege’s Early Notion of Function<\/strong><\/p>\n\n\n\n

Monday, December 11 2023 @17:00 (CEST)
Online<\/a><\/p>\n\n\n\n

Abstract<\/em>
Tappenden (1995) and Wilson (1992) describe the rich mathematical and historical setting of Frege’s Grundlagen der Arithmetik <\/em>(1884). They point to the connections between Pl\u00fccker and Clebsch’s understanding of functions \u2013 in the context of the duality principle in projective geometry \u2013 and Frege’s functional approach.<\/p>\n\n\n\n

However, I think more should be said about Frege’s early conception of function, fully developed by Frege in Begriffsschrift<\/em> (1879). In this talk, I claim that Frege’s early notion of function relies, to a great extent, on Frege’s mathematical work from the late 1870s, and reflects the influence of relevant contributions to projective geometry found in Clebsch and Pl\u00fccker’s works. In so doing, I provide new textual evidence to Tappenden and Wilson’s account of Frege\u2019s functional approach. I then argue that the concept of function developed in Begriffsschrift<\/em> is instrumental in Frege’s early mathematical project; shapes the syntax, quantification and calculus of the logical system. The purely syntactical use of the function-argument scheme in the proofs of Frege’s 1879 work shows that the notion of function at play is substantially different to Frege’s mature conception, developed from (1891) on.y. <\/p>\n\n\n\n

Bio<\/em>
Joan Bertran-San Mill\u00e1n<\/a> holds a post-doctoral fellowship at the Centro de Filosofia das Ci\u00eancias da Universidade de Lisboa (CFCUL)<\/p>\n","protected":false},"excerpt":{"rendered":"

Joan Bertran-San Mill\u00e1n: Frege’s Early Notion of Function Monday, December 11 2023 @17:00 (CEST) Online AbstractTappenden (1995) and Wilson (1992) describe the rich mathematical and historical setting of Frege’s Grundlagen der Arithmetik (1884). They point to the connections between Pl\u00fccker and Clebsch’s understanding of functions \u2013 in the context of the duality principle in projective geometry \u2013 and Frege’s […]<\/p>\n","protected":false},"author":291,"featured_media":0,"parent":12391,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-12445","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.uned.es\/metis\/wp-json\/wp\/v2\/pages\/12445","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.uned.es\/metis\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.uned.es\/metis\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.uned.es\/metis\/wp-json\/wp\/v2\/users\/291"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.uned.es\/metis\/wp-json\/wp\/v2\/comments?post=12445"}],"version-history":[{"count":3,"href":"https:\/\/blogs.uned.es\/metis\/wp-json\/wp\/v2\/pages\/12445\/revisions"}],"predecessor-version":[{"id":12451,"href":"https:\/\/blogs.uned.es\/metis\/wp-json\/wp\/v2\/pages\/12445\/revisions\/12451"}],"up":[{"embeddable":true,"href":"https:\/\/blogs.uned.es\/metis\/wp-json\/wp\/v2\/pages\/12391"}],"wp:attachment":[{"href":"https:\/\/blogs.uned.es\/metis\/wp-json\/wp\/v2\/media?parent=12445"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}