  {"id":6077,"date":"2020-07-07T16:13:00","date_gmt":"2020-07-07T15:13:00","guid":{"rendered":"https:\/\/www.st-andrews.ac.uk\/arche\/?post_type=tribe_events&#038;eventDate=2020-12-07#038;p=6064"},"modified":"2020-12-01T11:38:46","modified_gmt":"2020-12-01T11:38:46","slug":"metaphysics-and-logic-seminar-2020-12-07","status":"publish","type":"tribe_events","link":"https:\/\/www.st-andrews.ac.uk\/arche\/event\/metaphysics-and-logic-seminar-2020-12-07\/","title":{"rendered":"Metaphysics and Logic Seminar Fraser Macbride"},"content":{"rendered":"<p><strong>Title: CONVERSE PREDICATES AND THE INTERPRETATION OF SECOND ORDER QUANTIFICATION\u00a0<\/strong><\/p>\n<p><strong>\u00a0<\/strong><strong>ABSTRACT<\/strong>: In this paper I argue that we cannot interpret second-order quantification as quantification over properties and relations. My argument forges a hitherto unexplored connection between debates typically conducted independently, one metaphysical, about whether there are converse relations, the other logical, about the interpretation of second-order quantifiers. I begin from the semantics of converse predicates. Either we suppose that pairs of mutually converse predicates co-refer or they do not. If we suppose they do co-refer, I argue that we lack an understanding of the relevant class of higher-order predicates which are required for second-order quantification over a domain of relations to make sense. If we suppose they don\u2019t co-refer but pick out distinct converse relations then I argue that even if we do understand the relevant class of higher-order predicates enough to make sense of quantification over relations, we do so only at great theoretical cost. Either way, I conclude that second-order quantification should not be interpreted as quantification over properties and relations.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Title: CONVERSE PREDICATES AND THE INTERPRETATION OF SECOND ORDER QUANTIFICATION\u00a0 \u00a0ABSTRACT: In this paper I argue that we cannot interpret second-order quantification as quantification over&#8230;<\/p>\n","protected":false},"author":2,"featured_media":0,"template":"","meta":{"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","_members_access_role":[],"_members_access_error":"","_links_to":"","_links_to_target":""},"tags":[],"tribe_events_cat":[47],"class_list":["post-6077","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-metaphysics-and-logic-group","cat_metaphysics-and-logic-group"],"_links":{"self":[{"href":"https:\/\/www.st-andrews.ac.uk\/arche\/wp-json\/wp\/v2\/tribe_events\/6077","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.st-andrews.ac.uk\/arche\/wp-json\/wp\/v2\/tribe_events"}],"about":[{"href":"https:\/\/www.st-andrews.ac.uk\/arche\/wp-json\/wp\/v2\/types\/tribe_events"}],"author":[{"embeddable":true,"href":"https:\/\/www.st-andrews.ac.uk\/arche\/wp-json\/wp\/v2\/users\/2"}],"version-history":[{"count":3,"href":"https:\/\/www.st-andrews.ac.uk\/arche\/wp-json\/wp\/v2\/tribe_events\/6077\/revisions"}],"predecessor-version":[{"id":6848,"href":"https:\/\/www.st-andrews.ac.uk\/arche\/wp-json\/wp\/v2\/tribe_events\/6077\/revisions\/6848"}],"wp:attachment":[{"href":"https:\/\/www.st-andrews.ac.uk\/arche\/wp-json\/wp\/v2\/media?parent=6077"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.st-andrews.ac.uk\/arche\/wp-json\/wp\/v2\/tags?post=6077"},{"taxonomy":"tribe_events_cat","embeddable":true,"href":"https:\/\/www.st-andrews.ac.uk\/arche\/wp-json\/wp\/v2\/tribe_events_cat?post=6077"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}