John Edser wrote:

>>>JE:-
>>>It is true that: "If each element only has one parent, 
>>>it can only be a member of one set" where that set
>>>represents the absolute fitness set of that parent
>>>AND no sets are intersected.
> 
> 
>>BOH: 
>>So, if no sets are intersected, then there are no intersections.
> 
> 
>>JE:-
>>Yes.
> 
> 
> BOH:-
> So, if there are no intersections, where does this leave your claim that 
> intersecting sets are fundamental to understanding selection?
> 
> JE:-
> Mad Hatter nonsense. 

Ah thank you.

Sets can be validly
> _assumed_ to be intersected if and only if 
> they contain equivalent set elements. I _assume_
> sets of total parental fitness to be 100% 
> automatically intersected within one population.
> 
But you've already agreed that they aren't intersected.  You're 
contradicting yourself.

> 
> 
>>>JE:-
>>>If and only if, each set element within every
>>>absolute fitness set, i.e. each fitness element, 
>>>is _eqivalent_within one population THEN
>>>each absolute fitness set CAN be intersected. 
> 
> 
>>BOH:-
>>Right, they can be intersected, but they only will be intersected if 
>>there is an element that is a member of both sets.  i.e. if it has two 
>>parents.
> 
>  
> 
>>JE:-
>>Ridiculous. Nothing in mathematics 
>>restricts set intersection to sexual
>>products.
> 
> 
> BOH:-
> Huh?  No mention of "sexual products" was made or implied.
> 
> JE:-
> You wrote: " ..they only will be intersected if 
> there is an element that is a member of both sets.  
> i.e. if it has two parents." Where in biology
> does nature provide offspring (the defined fitness 
> element) that requires two parents that does not 
> involve the production of sexual products from 
> each parent?
> 
You tell me - you're the one insisting that they are intersected.  I'm 
just pointing out the conditions under which intersection is possible. 
If the conditions are unreasonable, then that's a problem for your theory.

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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