[Ron} It is, how I interpret it, based on a topography of something like fractile sets and what defines the topoi is the System of algebra it uses . I thought it was interesting how topoi structures are called "sheafs" And are described very similarly to your ideas of "branching".
I think it is cool how it can relate to objective strucures as well as subjective "Moral" value decisions. Here's a good analogy of what I'm talking about with traditional physics when limited to a yes or no answer, I'm sure you know how an attorney questions a witness. The witness is not allowed to express the circumstances just a "yes or no" answer to the questioning. So Case if someone asked you the question "for 100 dollars would you stop beating your wife" you are painted guilty by the question and if you answer it in a "yes or no" you are admitting guilt of something you may or may not have done. The question has a preconceived Pattern in it and will only yield what you want to see. Topoi theory is attmepting to look at The problem by asking how we ask questions just as much as how we percieve answers. [Case] I hate to almost agree with Ham twice in one day but I really need an example of how a whole new logic would work. When there is talk of non-Euclidian geometry it is easily explained which of Euclid's axioms are modified and simple to see at least some of the consequences. While the notion of sheaves seems to relate to set theory somehow I don't see the connection to fractal geometry. But I am all eyes and ears. moq_discuss mailing list Listinfo, Unsubscribing etc. http://lists.moqtalk.org/listinfo.cgi/moq_discuss-moqtalk.org Archives: http://lists.moqtalk.org/pipermail/moq_discuss-moqtalk.org/ http://moq.org.uk/pipermail/moq_discuss_archive/
