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I think there are a lot of good statements going around here so I won't say much, except to offer a brief thought:
I think the available knowledge, in terms of facts, laws, systems of nature, and the like, are indeed finite. There are only so many things (albeit MANY things) to know. Even non-deterministic things can have their probabilities determined. However, the interpretation and application of said knowledge I believe is infinite. For humanity, there will always be a new way of looking at things and a new way of applying knowledge to a problem. I believe to say that interpretation of knowledge is finite implies that whoever is interpreting the knowledge is outside the realm of time, and is effectively God.
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