{"id":2821,"date":"2011-05-21T14:38:44","date_gmt":"2011-05-21T19:38:44","guid":{"rendered":"http:\/\/thenonsequitur.com\/?p=2821"},"modified":"2011-05-21T14:58:26","modified_gmt":"2011-05-21T19:58:26","slug":"ossa-day-3-arguments-as-abstract-objects","status":"publish","type":"post","link":"https:\/\/thenonsequitur.com\/?p=2821","title":{"rendered":"OSSA Day 3: Arguments as Abstract Objects"},"content":{"rendered":"<p>Lots of folks have held that &#039;argument&#039; is ambiguous between process and product.&nbsp; Process=Speech Act.&nbsp; Product=abstract object.<\/p>\n<p>Surely the term &#039;argument&#039; can be used to refer to speech acts. E.g., &quot;The argument was inerrupted by the fire alarm.&quot; And it can be an abstract object. E.g., &quot;They keep giving the same argument&quot;<\/p>\n<p>Cases of ambiguity, but not troublesome:<\/p>\n<p><strong>Test 1.<\/strong>&nbsp; Equivocation<\/p>\n<p>Arthur washed the car.&nbsp; John lubricated the car.<\/p>\n<p>Here the first is about the outside, the second is about the engine.<\/p>\n<p>John went to the bank.&nbsp;<\/p>\n<p>To the bank with money or the bank on the side of a river?<\/p>\n<p><strong>Test 2:<\/strong>&nbsp; Amphiboly. Can be truly denied and truly affirmed about a fact.<\/p>\n<p>S hit a man with a stick.<\/p>\n<p>A&amp;B had an interesting argument.<\/p>\n<p><strong>Test 3<\/strong>: zeugma test &#8211; semantic oddness<\/p>\n<p>The newspaper fell off the desk and fired the editor.&nbsp; (Newspaper the paper object and the organization) &#8212; odd!&nbsp; So ambiguous<\/p>\n<p>Lunch was delicious but took forever (the eating and the food) &#8212; but not odd.&nbsp; Not ambiguous.<\/p>\n<p>His argument was valid but so loud it hurt my ears.&nbsp; (Abstract object and speech act)&nbsp; not odd, so not ambiguous.<\/p>\n<p><strong>Test 4:<\/strong> No clear literal meaning<\/p>\n<p>The argument was difficult.&nbsp; (the speech act &#8230; to read it, understand it? or the abstract object &#8230; to follow it?)<\/p>\n<p>SO: &#039;argument&#039; is not ambiguous.&nbsp; It refers to an abstract objects.<\/p>\n<p>What kind of abstract object?<\/p>\n<p><strong>Answer 1<\/strong>: Platonism about abstract objects, like numbers, the Pythagorean theorem, etc.&nbsp; It exists independently of human minds, non-spatiotemporal objects.<\/p>\n<p>2 problems. Prob 1: If arguments are independent of human minds, we don&#039;t construct them, but discover them.&nbsp; That&#039;s weird.&nbsp; Prob 2: How do we access them?&nbsp; They can&#039;t cause us to believe things about them&#8230;.<\/p>\n<p><strong>Answer 2:<\/strong> Minimal Platonism.&nbsp; Realism about abstract objects.&nbsp; Do abstract objects have to be atemporal?&nbsp; Chess and English have histories, and they seem abstract objects.&nbsp; Arguments are like that.&nbsp; They have histories, developments, etc.<\/p>\n<p>E.g., Anselm&#039;s Ontological argument.&nbsp; It has a history, a beginning, but can be given again and again.&nbsp; Identity conditions for arguments, though, need some refinements.<\/p>\n<p>A and B are the same argument when:<\/p>\n<p>1. A and B have same propositions<\/p>\n<p>2. The liative relations in A are the same as those in B,<\/p>\n<p>and 3. the ilative relations in A are on the same propositions as are in B.<\/p>\n<p>Arguments become temporal objects when one&#039;s intention are to infer the conc from the premises.<\/p>\n<p><strong>Q1:<\/strong> What do you mean &#039;argument&#039; is not ambiguous?&nbsp; It certainly admits of activity-object ambiguity.&nbsp; E.g., &quot;He was right to resort to argument rather than intimidation.&quot;&nbsp; OR &quot;The argument was difficult to understand&quot; (because his accent was so thick, or because the argument was esoteric?)<\/p>\n<p><strong>Q2<\/strong>: The case against ambiguity depends on failing these four tests.&nbsp; But passing the test is sufficient for ambiguity, but failing it isn&#039;t sufficient for univocality.&nbsp; Moreover, it seems the &quot;His argument was valid but loud&quot; counts in favor more of the activity,not product, interpretation.<\/p>\n<p><strong>Q3:<\/strong> This is a very demanding notion of ambiguity &#8212; polysemy.&nbsp; Ambiguity is a wider notion, b\/c some word tokenings are unclear about what types they are.&nbsp; That&#039;s the issue with the process\/product ambiguity.<\/p>\n<p><strong>Q4:<\/strong> What&#039;s a temporal abstract object?&nbsp; They have ilative intentions?&nbsp; Why not propositions and their support?&nbsp; (Answer: arguments are products of intentions; tautologies are valid conclusions)<\/p>\n<p><strong>Q5:<\/strong> What&#039;s the trouble with thinking that we discover arguments?&nbsp; We discover mathematical principles!&nbsp; (Anselm himself thought his OA was a discovery)<\/p>\n<p><strong>Q6: <\/strong>Arguments are like objects in Popper&#039;s third world.&nbsp; That&#039;s a model for the story of abstract objects.<\/p>\n<p><strong>Q7:<\/strong> This isn&#039;t even weak platonism.&nbsp; You need an independent arrangement of those objects for platonism &#8212; participation is the role, and as a consequence arguments are really just temporal events now!<\/p>\n<p><strong>Q8:<\/strong> Hey, what&#039;s an abstract object?<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Lots of folks have held that &#039;argument&#039; is ambiguous between process and product.&nbsp; Process=Speech Act.&nbsp; Product=abstract object. Surely the term &#039;argument&#039; can be used to refer to speech acts. E.g., &quot;The argument was inerrupted by the fire alarm.&quot; And it can be an abstract object. E.g., &quot;They keep giving the same argument&quot; Cases of ambiguity, &hellip; <a href=\"https:\/\/thenonsequitur.com\/?p=2821\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">OSSA Day 3: Arguments as Abstract Objects<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-2821","post","type-post","status-publish","format-standard","hentry","category-general"],"_links":{"self":[{"href":"https:\/\/thenonsequitur.com\/index.php?rest_route=\/wp\/v2\/posts\/2821","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/thenonsequitur.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/thenonsequitur.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/thenonsequitur.com\/index.php?rest_route=\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/thenonsequitur.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2821"}],"version-history":[{"count":5,"href":"https:\/\/thenonsequitur.com\/index.php?rest_route=\/wp\/v2\/posts\/2821\/revisions"}],"predecessor-version":[{"id":2828,"href":"https:\/\/thenonsequitur.com\/index.php?rest_route=\/wp\/v2\/posts\/2821\/revisions\/2828"}],"wp:attachment":[{"href":"https:\/\/thenonsequitur.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2821"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/thenonsequitur.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2821"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/thenonsequitur.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2821"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}