I am happy with this. I just wanted to remind everybody that the nonstandard system allows really simple, intuitive proofs. Larry
On 2 Jul 2008, at 17:45, Brian Huffman wrote: > Here's how I see it: If all you want to do is *use* analysis (e.g. > maybe you just want to calculate derivatives) then you won't notice > any difference between NSA and standard analysis. The same theorems > have been proved in either version. I expect that the users who > benefit most from having the real number theories in HOL would > generally fall into this camp. > > On the other hand, if you want to *prove* things *in* analysis, then > the difference between standard and non-standard is immediately > apparent. > > I wouldn't consider NSA to be "buried" - until very recently, the > NSA theories were located in a logic image separate from the main > HOL image. If we split NSA as I have proposed, then it will be in a > logic image separate from HOL, just as it was before. -------------- next part -------------- An HTML attachment was scrubbed... URL: https://mailmanbroy.informatik.tu-muenchen.de/pipermail/isabelle-dev/attachments/20080703/f363331e/attachment.htm