Re: Distributivity in Tropashko's Lattice Algebra

From: Vadim Tropashko <vadimtro_invalid_at_yahoo.com>
Date: 16 Aug 2005 13:36:13 -0700
Message-ID: <1124224573.706452.112000@z14g2000cwz.googlegroups.com>

vc wrote:
> On the other hand:
>
>
> Vadim Tropashko wrote:
>
> > "10" is defined as a neutral element that satisfies the following
> > identities:
> >
> > 10 join A = A
> > 10 union A = A
> >
>
>
> '10' join A = '10', not A ;)

So you want to define 01, and 10 the opposite way? Fine for me, since I have always been confused by the left and right:-)

Perhaps, the least confusing way to establish direction in the lattice is to agree that 10 > 01. Therefore 01 is the least element and 10 is the greatest one. Received on Tue Aug 16 2005 - 15:36:13 CDT