I am a new member of this group as of 09/01/02. I read Hal Finney's and 
others comments regarding Rucker's Infinity and the Mind which I have read 
several times.  I also am aware of Max Tegmark's TOE and I have read much of 
the material related to Georg Cantor's transfinite numbers. I have a question 
regarding these individuals' work. I hope someone can present their opinions 
on this subject.

First, Max Tegmark (U. of Penna.) has proposed a TOE that all Mathematical 
Structures have Mathematical Existence and,  in addition, also have Physical 
Existence in the form of other universes. Max has told me that all the 
Surreal numbers have concomitant existence with regards to being both a 
Mathematical  Structure and also having Mathematical/Physical existence.  My 
question is this: Is there a one-to-one correspondence between the 
Mathematical Structure for "Absolute Infinity" studied by Cantor and 
mentioned by Rucker and the Physical Existence proposed by Tegmark for his 
TOE.  In other words, does Cantor's Absolute Infinity not only have 
Mathematical Existence; but, does it also have Physical Existence in terms of 
the total number of universes?

In addition, does the proper class, surreal numbers, also have other proper 
classes beyond it which have Mathematical Existence and, therefore, Physical 

Thank you for your help!!!    


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