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 Existence. Thank you for your help!!! Dave P.S. This e-mail address ([EMAIL PROTECTED]) belongs to a friend. When I am at home my e-mail address is: [EMAIL PROTECTED] and I'll be using both e-mail addresses.
