Re: new article, A Romp Through Infinity

2008-08-07 Thread Xavier Noria
On Thu, Aug 7, 2008 at 3:19 PM, John M. Dlugosz [EMAIL PROTECTED] wrote: I'm not sure. A quick reading indicates that ⋆ℝ contains infinitely large numbers that maintain the properties of addition, but that is not the same as infinity. Well *R is a field that has infinitely large and small

Re: cross operator and empty list

2008-04-14 Thread Xavier Noria
On Apr 12, 2008, at 17:37 , Moritz Lenz wrote: [EMAIL PROTECTED] wrote: Technically the Cartesian cross operator doesn't have an identity value. It has. The set which contains only the emty set, or in perl terms ([]); If (a, b) denotes an ordered pair you get {0, 1} X {{}} = {(0, {}),

Re: cross operator and empty list

2008-04-14 Thread Xavier Noria
On Apr 14, 2008, at 12:05 , TSa wrote: HaloO, Xavier Noria wrote: {0, 1} X {{}} = {(0, {}), (1, {})} which, you see, is different from {0, 1}. They have different elements. The fact that there's a clear mapping that sort of identifies them has nothing to do with set equality. But X

Re: relational data models and Perl 6

2005-12-15 Thread Xavier Noria
On Dec 15, 2005, at 2:19, Darren Duncan wrote: * a Tuple is an associative array having one or more Attributes, and each Attribute has a name or ordinal position and it is typed according to a Domain; this is like a restricted Hash in a way, where each key has a specific type * a