On the cosmologies you offered, and the first serious attempt to answer challenge #1 - I figured you and betty boop might both be interested in this comparison of philosophies and cosmologies:
Time before Time You'll find Aguirre's in there along with the others. From reading the pdf file, evidently the purpose is to stipulate what he considers to be the only mathematical structure whereby one can rationalize an infinite past in modern cosmology (the plentitude argument).
840 posted on 02/18/2005 11:41:32 PM PST by Alamo-Girl