Are set operations needed?

2013-07-18 Thread Richard Hainsworth
Are set operations needed in Perl6? No implementation of the perl6 set specification yet exists (AFAIK). The question occurred to me as I have been working my way through a new book on foundational maths not based on sets (http://homotopytypetheory.org/book/). Foundations of maths, until

Re: Are set operations needed?

2013-07-18 Thread Moritz Lenz
On 07/18/2013 01:07 PM, Richard Hainsworth wrote: Are set operations needed in Perl6? No implementation of the perl6 set specification yet exists (AFAIK). You are wrong. Both rakudo and niecza implement significant subsets of the set specification. Cheers, Moritz

Re: Are set operations needed?

2013-07-18 Thread yary
And regardless of homotopy type theory being able to supplant set theory, with the spirit of there's more than one way to do it, set ops are still a welcome tool. Also in that spirit, would you like to write up a summary of HoTT alternatives to common set ops, or post a link to a HoTT summarzing

Re: Are set operations needed?

2013-07-18 Thread Solomon Foster
All set operations work on Rakudo, but none of the Unicode set operators are enabled, because multibyte Unicode characters kill the performance of Rakudo's parser when compiling Rakudo. So for example you can use (|) for set union, but not ∪. I think there are probably some glitches there yet,

Re: Are set operations needed?

2013-07-18 Thread Solomon Foster
Full list of Texas (ie ASCII) set operators: union: (|) intersection: () set difference: (-) symmetric difference: (^) subset: (=) proper subset: () superset: (=) proper superset: () is an element of: (elem) is contained by: (cont) On Thu, Jul 18, 2013 at 11:45 AM, Solomon Foster

Re: Are set operations needed?

2013-07-18 Thread Patrick R. Michaud
On Thu, Jul 18, 2013 at 07:07:20PM +0800, Richard Hainsworth wrote: I wondered whether the desire to have sets in perl6 was driven by mathematical fashion sensitivity (in some roundabout unconscious way) and because sets are important to mathematical foundations. [...] Sets do not implement