{"id":6065,"global_id":"www.st-andrews.ac.uk\/philevents?id=6065","global_id_lineage":["www.st-andrews.ac.uk\/philevents?id=6065","www.st-andrews.ac.uk\/arche?id=6077"],"author":"1","status":"publish","date":"2020-08-19 12:29:51","date_utc":"2020-08-19 11:29:51","modified":"2020-12-07 17:21:21","modified_utc":"2020-12-07 17:21:21","url":"https:\/\/www.st-andrews.ac.uk\/philevents\/event\/metaphysics-and-logic-seminar-tba-13\/","rest_url":"https:\/\/www.st-andrews.ac.uk\/philevents\/wp-json\/tribe\/events\/v1\/events\/6065","title":"Metaphysics and Logic Seminar Fraser Macbride","description":"<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>","excerpt":"","slug":"metaphysics-and-logic-seminar-tba-13","image":false,"all_day":false,"start_date":"2020-12-07 15:00:00","start_date_details":{"year":"2020","month":"12","day":"07","hour":"15","minutes":"00","seconds":"00"},"end_date":"2020-12-07 17:00:00","end_date_details":{"year":"2020","month":"12","day":"07","hour":"17","minutes":"00","seconds":"00"},"utc_start_date":"2020-12-07 15:00:00","utc_start_date_details":{"year":"2020","month":"12","day":"07","hour":"15","minutes":"00","seconds":"00"},"utc_end_date":"2020-12-07 17:00:00","utc_end_date_details":{"year":"2020","month":"12","day":"07","hour":"17","minutes":"00","seconds":"00"},"timezone":"Europe\/London","timezone_abbr":"GMT","cost":"","cost_details":{"currency_symbol":"","currency_code":"","currency_position":"prefix","values":[]},"website":"https:\/\/www.st-andrews.ac.uk\/arche\/event\/metaphysics-and-logic-seminar-2020-12-07\/","show_map":false,"show_map_link":false,"hide_from_listings":false,"sticky":false,"featured":false,"categories":[{"name":"Metaphysics and Logic group","slug":"metaphysics-and-logic-group","term_group":0,"term_taxonomy_id":25,"taxonomy":"tribe_events_cat","description":"","parent":0,"count":194,"filter":"raw","id":25,"urls":{"self":"https:\/\/www.st-andrews.ac.uk\/philevents\/wp-json\/tribe\/events\/v1\/categories\/25","collection":"https:\/\/www.st-andrews.ac.uk\/philevents\/wp-json\/tribe\/events\/v1\/categories"}}],"tags":[],"venue":{"id":19,"author":"1","status":"publish","date":"2020-01-29 15:33:14","date_utc":"2020-01-29 15:33:14","modified":"2026-06-11 22:08:09","modified_utc":"2026-06-11 21:08:09","url":"https:\/\/www.st-andrews.ac.uk\/philevents\/venue\/edgecliffe-g03\/","venue":"A virtual seminar by Zoom","slug":"edgecliffe-g03","address":"The University","city":"58³Ô¹Ï","country":"United Kingdom","zip":"KY16 9L","website":"https:\/\/www.st-andrews.ac.uk\/arche\/venue\/edgecliffe-g03-2\/","json_ld":{"@type":"Place","name":"A virtual seminar by Zoom","description":"","url":"https:\/\/www.st-andrews.ac.uk\/philevents\/venue\/edgecliffe-g03\/","address":{"@type":"PostalAddress","streetAddress":"The University","addressLocality":"58³Ô¹Ï","postalCode":"KY16 9L","addressCountry":"United Kingdom"},"telephone":"","sameAs":"https:\/\/www.st-andrews.ac.uk\/arche\/venue\/edgecliffe-g03-2\/"},"show_map":true,"show_map_link":true,"global_id":"www.st-andrews.ac.uk\/philevents?id=19","global_id_lineage":["www.st-andrews.ac.uk\/philevents?id=19","www.st-andrews.ac.uk\/arche?id=4853"]},"organizer":[],"custom_fields":[],"json_ld":{"@context":"http:\/\/schema.org","@type":"Event","name":"Metaphysics and Logic Seminar Fraser Macbride","description":"&lt;p&gt;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 properties and relations. 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