tag:blogger.com,1999:blog-4718590941586269256.post2213667237929816889..comments2023-08-14T21:18:14.796-04:00Comments on Honest Toil: Mathematics and Proper FunctionChrishttp://www.blogger.com/profile/10838633162146762394noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-4718590941586269256.post-80067437199039107852008-08-03T10:31:00.000-04:002008-08-03T10:31:00.000-04:00I don't want to say that it couldn't be done, but ...I don't want to say that it couldn't be done, but my worry is that it hasn't been done yet, and I'm not sure how it would work. So, hopefully those sympathetic to proper function approaches will offer something on mathematics in the future. On your 'build-up' proposal, one key feature of advanced mathematics is that its axioms invoke more entities and entities that go beyond what we find in more Chrishttps://www.blogger.com/profile/10838633162146762394noreply@blogger.comtag:blogger.com,1999:blog-4718590941586269256.post-68442155699490593562008-08-01T23:39:00.000-04:002008-08-01T23:39:00.000-04:00I don't know much about math, but if we admit a pr...I don't know much about math, but if we admit a properly functioning cognitive faculty that justifies our simpler mathematical beliefs, couldn't we just build the rest of our math beliefs on top of them? This obviously couldn't happen if the base level accounted for only things like addition and subtraction. But if we supplement those with faculties like memory, our capacity for the basic logicalAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-4718590941586269256.post-76954477339673380632008-08-01T09:05:00.000-04:002008-08-01T09:05:00.000-04:00I'm not sure how popular it really is. It seems li...I'm not sure how popular it really is. It seems like a <A HREF="http://plato.stanford.edu/entries/reliabilism/#StrPerRelConVarProRel" REL="nofollow">more recent</A> version of externalism, and so maybe it hasn't had time to catch on. It clearly has some advantages over standard externalism, but I guess in my post I was saying that it has some challenges as well.Chrishttps://www.blogger.com/profile/10838633162146762394noreply@blogger.comtag:blogger.com,1999:blog-4718590941586269256.post-39485082208830751292008-07-31T20:49:00.000-04:002008-07-31T20:49:00.000-04:00Epistemology isn't really my area, but I read some...Epistemology isn't really my area, but I read somewhere that proper function theories of justification aren't all that popular at present. If this is true, do you know why?Anonymousnoreply@blogger.com