Originally posted by knightmeister
Your mistake is that it is impossible for ultimate truth to not exist because the non-existence of ultimate truth would be...erhem...the ultimate truth.
Maybe, but all this really reveals is that "ultimate truth" is itself an artificial concept; it only exists in our own imagination, and is not an actual quality of the universe. You're just insisting that "ultimate truth exists - whatever it is," which is semantically true but essentially meaningless. For the statement to have any meaning you have to make some assertions about what that ultimate truth actually says.
I also don't think you're taking into the full scope of possibility with regard to what sience might find as we explore the universe further. The more we learn about quantum reality, for example, we find that pieces of the universe behave in ways that fundamentally defy what we think of as "the rational." A particle in an electron cloud can exist in precisely one location within that cloud, and also in all parts of it, simultaneously. There may be many ways in which a premise can be simultaneously true and false - not as a result of our limited understanding, but as an actual quality of the universe itself. It's possible that the ultimate truth, whatever it is, may be a lie, while still remaining true. That doesn't conform to our conventional ideas about what's rational, but there's no guarantee that the universe conforms to those ideas, either.
In any case how could science know that existence was infinite ? How would you know whether the truth you had come across was the last thing to find?
The idea that infinity can exist as an actual quality in the universe - rather than just a concept - often comes up in theoretical physics, for example in the study of black holes. It seems that it may actually be possible for a star to collapse so small that it's size is exactly zero - it's still there, but it takes up no space. Its density, therefore, is literally infinite. This is just a hypothesis right now, and as a hypothesis, it may eventually be proven mathematically as we study black holes further. If it is, we still won't have actually explored that infinite density, but we will have proven that it is in fact infinite.
It might be possible, as science expands, for us to actually mathetmatically prove that the universe is infinite in many different ways, even if we can never explore or experience the full variety presented by that infinite nature.
Would your theory say that existence was without beginning or end?
It might, but it doesn't have to; the universe might be infinite in other ways that have nothing to do with time or space. The infinite pyramid of truth I alluded to in my last post - wherein everything that is true depends for its truthfullness on another, larger, more profound truth - may itself describe a universe that is infinite, even if it has a distinct beginning and end.