John Edser wrote:
>>BOH:-
>>But in the absence of sex, each unit of fitness can only have one
>>parent, surely?
>>
>>JE:-
>>Yes, here, "each unit of fitness can only have
>>one  parent". You seem to be labouring under
>>the misunderstanding that fitness set intersections
>>are only valid when both parents contribute
>>to each fitness element in the intersection.
>>This is not the case. We have been
>>through this a number of times. GH
>>harboured the same misunderstanding. As long
>>as the fitness elements are defined as equivalent
>>all the sets of total parental fitness, represented
>>by one Venn circle, can be validly 100% intersected
>>within one population to determine the exact order
>>of selection of all parents, no exceptions.
>>
>>I am NOT proposing that the fitness elements
>>in the intersection have been reproduced by
>>both parents using sex, I am proposition that each fitness
>>element was produced asexually by just one parent so
>>that each Venn circle represents a _total_ fitness
>>for _one_ parent. 
> 
> 
> BOH:-
> But then if sets A and b are your sets of fitness elements, the 
> statement "All the elements in the intersection C are also in sets A and 
> B" is false.
> 
> JE:-
> We are travelling in endless circles. 
> I have proven that in this case
> "All the elements in the intersection 
> C are also in sets A and  B". Thus
> I ask you to provide proof that that
> in this case, they are not.
> 
I was replying to this:
"...I am proposition that each fitness element was produced asexually by 
just one parent so that each Venn circle represents a _total_ fitness 
for _one_ parent".

Which seems to say that each element only has one parent, and each set 
is the set of fitness elements produced by a parent.  If each element 
only has one parent, it can only be a member of one set.  Hence, it 
cannot be in two sets, so it cannot be in an intersection.

Bob

-- 
Bob O'Hara

Rolf Nevanlinna Institute
P.O. Box 4 (Yliopistonkatu 5)
FIN-00014 University of Helsinki
Finland
Telephone: +358-9-191 23743
Mobile: +358 50 599 0540
Fax:  +358-9-191 22 779
WWW:  http://www.RNI.Helsinki.FI/~boh/
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