Patrick said:
Does anyone know a valid LOGICAL (not scientific) argument that the universe must have existed infinitely into the past?
Depends on what you mean by "universe". If "universe" means "everything that is", then it has to have always existed, because anything existing previous to it would have to be included in the category "universe". By definition, then, the universe has to have always existed, since existence itself automatically makes something part of the universe.
A. Anything that exists is part of the universe.
B. Something existed way back in the past.
C. That something was therefore part of the universe.
If you want to argue that a period of nonexistence stretched before the universe, you get the problem of whether time exists. If it does, it's part of the universe and therefore there can be nothing "previous", since "previous" is part of time which would be part of the universe. If time isn't part of the universe, then you end up with the problem of what it is, where does it come from, and you're stuck with the fact that time can't be measured without something existing to measure it by.
If however, you're defining "universe" differently, to mean the current collection of matter and energy surrounding us and the space containing it, then it's possible there were other universes of this nature "previous" if time is independent of a particular universe, and existing in some unmeasurable relationship to each other if time is in fact dependent upon each individual universe. In the latter case, "previous" has no meaning, so the question is moot.
Logical argument seems to require defining the terms first.