{"id":99,"date":"2018-10-14T20:12:57","date_gmt":"2018-10-14T18:12:57","guid":{"rendered":"http:\/\/calculemus.org\/fi4\/?page_id=99"},"modified":"2018-10-14T20:12:57","modified_gmt":"2018-10-14T18:12:57","slug":"gruszczynski","status":"publish","type":"page","link":"https:\/\/calculemus.org\/fi4\/gruszczynski\/","title":{"rendered":"Rafa\u0142 Gruszczy\u0144ski (UMK)<br><i>Self-reference and incompleteness<\/i>"},"content":{"rendered":"<p>Languages which have expressive power sufficient to refer to its own expressions give rise to the phenomenon of self-reference, which on the other hand leads to incompleteness of some class of formal systems. <\/p>\n<p>In my talk I would like to present some standard and some lesser known method for obtaining self-reference, and some general conditions which entail incompleteness. The presentation is mostly based on results established by K. Godel, W.V.O. Quine and R. Smullyan.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Languages which have expressive power sufficient to refer to its own expressions give rise to the phenomenon of self-reference, which on the other hand leads to incompleteness of some class of formal systems. In my talk I would like to &hellip; <a href=\"https:\/\/calculemus.org\/fi4\/gruszczynski\/\">Czytaj dalej <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"onecolumn-page.php","meta":[],"_links":{"self":[{"href":"https:\/\/calculemus.org\/fi4\/wp-json\/wp\/v2\/pages\/99"}],"collection":[{"href":"https:\/\/calculemus.org\/fi4\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/calculemus.org\/fi4\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/calculemus.org\/fi4\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/calculemus.org\/fi4\/wp-json\/wp\/v2\/comments?post=99"}],"version-history":[{"count":1,"href":"https:\/\/calculemus.org\/fi4\/wp-json\/wp\/v2\/pages\/99\/revisions"}],"predecessor-version":[{"id":100,"href":"https:\/\/calculemus.org\/fi4\/wp-json\/wp\/v2\/pages\/99\/revisions\/100"}],"wp:attachment":[{"href":"https:\/\/calculemus.org\/fi4\/wp-json\/wp\/v2\/media?parent=99"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}