tag:blogger.com,1999:blog-3891434218564545511.post5233750756124688440..comments2024-03-28T19:56:42.305-05:00Comments on Alexander Pruss's Blog: A better way to run Kalaam arguments?Alexander R Prusshttp://www.blogger.com/profile/05989277655934827117noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-3891434218564545511.post-69218775797928015012014-08-28T09:58:08.871-05:002014-08-28T09:58:08.871-05:00Drew:
The pile will be a simultaneous infinite. ...Drew:<br /><br />The pile will be a simultaneous infinite. But that doesn't make the hammerings be an actual infinite.Alexander R Prusshttps://www.blogger.com/profile/05989277655934827117noreply@blogger.comtag:blogger.com,1999:blog-3891434218564545511.post-79050915118408714202014-08-27T23:14:01.005-05:002014-08-27T23:14:01.005-05:00Heath:
Nice point. So my version uses strictly w...Heath:<br /><br />Nice point. So my version uses strictly weaker assumptions, since it works even if *some* actual infinites are possible (say, future ones).Alexander R Prusshttps://www.blogger.com/profile/05989277655934827117noreply@blogger.comtag:blogger.com,1999:blog-3891434218564545511.post-10349028149688011332014-08-27T22:16:47.310-05:002014-08-27T22:16:47.310-05:00I think this hits on the difference between an inf...I think this hits on the difference between an infinite past and an infinite future. Imagine a smithy who hammers away and throws his worn out hammers into a pile. With an infinite future, the pile will always be finite but growing. With an infinite past, the pile will always be infinite. Even under presentism.Drewhttps://www.blogger.com/profile/07760732528070189410noreply@blogger.comtag:blogger.com,1999:blog-3891434218564545511.post-46103360135273016482014-08-27T15:19:00.269-05:002014-08-27T15:19:00.269-05:00Additional benefit: The defender of the first arg...Additional benefit: The defender of the first argument has to defend (5) anyway, at least implicitly. For (1) and (2) together give “If the universe has an infinite past, then Hilbert’s Hotel is possible” and everyone should agree to “If Hilbert’s Hotel is possible, a simultaneous infinity of objects is possible” so anyone endorsing (1) and (2) is also committed to (5). Heath Whitehttps://www.blogger.com/profile/13535886546816778688noreply@blogger.com