Re: Distributivity in Tropashko's Lattice Algebra


"Vadim Tropashko" <vadimtro_invalid@xxxxxxxxx> wrote in message
news:1124224573.706452.112000@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
> 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.
>


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