Re: Junctions & Set Theory

2003-09-02 Thread Benjamin Goldberg
Luke Palmer wrote: > > Wow, what an old thread... > > Jonadab the Unsightly One writes: > > "Abhijit A. Mahabal" <[EMAIL PROTECTED]> writes: > > > > > On the other hand, if you wanted to say "true for all except exactly > > > one value, I can't think of a way. > > > > Easy. The following two sta

Re: Junctions & Set Theory

2003-09-02 Thread Luke Palmer
Wow, what an old thread... Jonadab the Unsightly One writes: > "Abhijit A. Mahabal" <[EMAIL PROTECTED]> writes: > > > On the other hand, if you wanted to say "true for all except exactly > > one value, I can't think of a way. > > Easy. The following two statements are

Re: Junctions & Set Theory

2003-09-02 Thread Jonadab the Unsightly One
"Abhijit A. Mahabal" <[EMAIL PROTECTED]> writes: > On the other hand, if you wanted to say "true for all except exactly > one value, I can't think of a way. Easy. The following two statements are equivalent: F(x) is true for all but exactly one x (not F(x)) is true for exactly one x The onl

Re: Junctions & Set Theory

2003-08-01 Thread Luke Palmer
> Hello, > > Do junctions have a direct representation as predicate logic statements? Yes. Damian and I have already worked them out in a link I have already posted today: http://groups.google.com/groups?hl=en&lr=&ie=UTF-8&oe=UTF-8&safe=off&selm=3DF2FE76.6050602%40conway.org&rnum=2 > In par

Re: Junctions & Set Theory

2003-08-01 Thread Abhijit A. Mahabal
On Fri, 1 Aug 2003, Derek Ross wrote: > Do junctions have a direct representation as predicate logic statements? > In particular, do the following logic statements correspond directly > to the following perl6 junctions: > > LOGIC PERL6 JUNCTION (DESCRIP) > =

Junctions & Set Theory

2003-08-01 Thread Derek Ross
Hello, Do junctions have a direct representation as predicate logic statements? In particular, do the following logic statements correspond directly to the following perl6 junctions: LOGIC PERL6 JUNCTION (DESCRIP) = (forall x)(x