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 [email protected]. > To unsubscribe from this group, send email to > [email protected] > . > For more options, visit this group at > http://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 [email protected]. To unsubscribe from this group, send email to [email protected]. For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.
