{"id":1433,"date":"2023-05-20T12:37:07","date_gmt":"2023-05-20T12:37:07","guid":{"rendered":"https:\/\/maverickphilosopher.blog\/index.php\/2023\/05\/20\/topics-in-current-technical-threads\/"},"modified":"2023-05-20T12:37:07","modified_gmt":"2023-05-20T12:37:07","slug":"topics-in-current-technical-threads","status":"publish","type":"post","link":"https:\/\/maverickphilosopher.blog\/index.php\/2023\/05\/20\/topics-in-current-technical-threads\/","title":{"rendered":"Topics in Current Technical Threads"},"content":{"rendered":"

1) Potential versus actual infinity.<\/span><\/p>\n

2) Are there mathematical sets?<\/span><\/p>\n

3) Does mathematics need a foundation in set theory?<\/span><\/p>\n

4) Is there irreducibly plural reference, predication, and quantification? If yes, does plural quantification allow us to avoid ontological commitment to sets?<\/span><\/p>\n

5) Discreteness, density, and continuity at the level of number theory, geometry,  and nature (physical space and physical time)? <\/span><\/p>\n

6) Phenomenal versus physical space and their relation. Homogeneity and continuity in relation to both. Lycan's puzzle about the location of the homogeneously green after-image. Wilfrid Sellars and the Grain Argument. It was (6) that got us going on the current jag.<\/span><\/p>\n

The above topics which we have recently discussed naturally  lead to others which I would be interested in discussing:<\/span><\/p>\n

7) How is it possible for mathematics to apply to the physical world? Does such application require a realist interpretation of mathematics? (See Hilary Putnam, <\/span>Philosophical Papers<\/span>, vol. I, 74.)<\/span><\/p>\n

8) Zeno's Paradoxes. Does the 'calculus solution' dispose of them once and for all?<\/span><\/p>\n

9) The 'At-At' theory of motion and related topics such as instantaneous velocity.<\/span><\/p>\n

10) Mathematical existence.<\/span><\/p>\n

11) The Zermelo-Fraenkel axioms, their epistemic status, and the puzzles to which they give rise.<\/span><\/p>\n

12) How the actual versus potential infinity debate connects with the eternalism versus presentism debate in the philosophy of time.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

1) Potential versus actual infinity. 2) Are there mathematical sets? 3) Does mathematics need a foundation in set theory? 4) Is there irreducibly plural reference, predication, and quantification? If yes, does plural quantification allow us to avoid ontological commitment to sets? 5) Discreteness, density, and continuity at the level of number theory, geometry,  and nature … Continue reading “Topics in Current Technical Threads”<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[475,476],"tags":[],"class_list":["post-1433","post","type-post","status-publish","format-standard","hentry","category-infinity","category-mathematics"],"_links":{"self":[{"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/posts\/1433","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/comments?post=1433"}],"version-history":[{"count":0,"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/posts\/1433\/revisions"}],"wp:attachment":[{"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/media?parent=1433"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/categories?post=1433"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/tags?post=1433"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}