Bruno: That is a good enough explanation for me not to read the paper. Ronald
On Dec 1, 10:55 am, Bruno Marchal <marc...@ulb.ac.be> wrote: > I have read it quickly. You can use that paper as an introduction to > the use of ultrafilters in Model theory. The application in physics > are not precisely justified, and the paper does not address any > fundamental questions, so I am not sure it is relevant here. > It is also pretty much technical. I don't use much "model theory" in > this list, because it is too much technical, but if you go through all > the book of Mendelson, I think you could intuit by yourself if it is > relevant for the question you are interested in. > I have no doubt that some "ultrafilter" construction of non standard > infinitesimal numbers can have some use in physics, if only to redeem > Newton and Leibniz form of infinitesimal analysis. But it is a > technical issue, and I am agnostic on the question if such numbers > could play a conceptual role in physics. > Technically I would opt for synthetic toposes, or things like that, > which seems more promising, but I can hardly say that I have any > conviction there. > I tend to think that real numbers (standard or not) are really > construction of the mind (of the universal machine), like comp invites > to consider (with Occam). > > Best, > > Bruno > > On 30 Nov 2009, at 19:18, ronaldheld wrote: > > >http://arxiv.org/PS_cache/arxiv/pdf/0911/0911.4824v1.pdf > > Can someone read this and explain any relevance it may have? > > Ronald > > > -- > > > You received this message because you are subscribed to the Google > > Groups "Everything List" group. > > To post to this group, send email to everything-l...@googlegroups.com. > > To unsubscribe from this group, send email to > > everything-list+unsubscr...@googlegroups.com > > . > > For more options, visit this group > > athttp://groups.google.com/group/everything-list?hl=en > > . > > http://iridia.ulb.ac.be/~marchal/ -- You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to everything-l...@googlegroups.com. To unsubscribe from this group, send email to everything-list+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.