Re: Distributivity in Tropashko's Lattice Algebra

From: VC <boston103_at_hotmail.com>
Date: Wed, 17 Aug 2005 06:57:51 -0400
Message-ID: <humdnTg9z4WwhZ7eRVn-hA@comcast.com>

"Vadim Tropashko" <vadimtro_invalid_at_yahoo.com> wrote in message news:1124224573.706452.112000_at_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:-)

Well, I thought I was using your definition. What relation does '10' refer to ?

>

> 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 Wed Aug 17 2005 - 05:57:51 CDT