Re: Undefined behaviour (Was: Definition of intervals as subsets...)
Dan,
Your confusion might be because, in one system,
[5,2] IS interpreted as an exterior interval, whereas,
in another [5,2] is interpreted as the interval [2,5],
but with an additional attribute. The "exterior interval"
interpretation is sometimes part of the algebraic
system some people "Kahan arithmetic," whereas the modal
arithmetic interpretation is sometimes called "Kaucher
arithmetic."
Others: correct me if I am wrong.
Baker
On 3/16/2009 3:35 PM, Dan Zuras Intervals wrote:
.
.
.
Michel is correct that that was my interpretation.
Let me put it yet another way: if I interpret [5,2]
exterior interval that is complement to the interior
interval [2,5], how can the sum of that exterior
interval which contains numbers like 10^10^10, when
added to the relatively tiny interior interval [3,9]
result in the EVEN TINIER interior interval [8,11]?
I'm sorry, if I am missing something obvious here it
still eludes me.
This case would, by my confusion alone, seem to
support the non-intuitive nature of these things.
Dan
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