No, I'm not supposing a First Cause.
Sure, you are. You don't recognize your own assumptions, but that's a common problem.
If I am, then you would have to inhernetly believe that the universe itself it eternal, in which case you'd have to abandone the Big Bang theory.
I don't have to abandon anything. I am still agnostic about Big Bang cosmology, and also about whether the universe is eternal.
If you don't believe the universe is eternal, to include space, time, and matter, then you have to have a First Cause.
That's where you are assuming a first cause. I can tell it is an assumption, for you make no attempt to justify it.
This is a simple philosophical concept. I'm not sure why anyone is stumbled over this.
Clearly you are stumbling over it.
Consider the continuum of positive real numbers. There is no first such number. Given any positive real number
x, then
x/2 is a smaller real number. Similarly, assuming that time is a continuum, there is no obvious reason for a first event. Every event could be preceded by an earlier event, and could be caused by some of the earlier events. There is no obvious reason why there needs to be a first cause.
All I want at this point is for someone to come to the inevitable conclusion that something has to be eternal for space-time and matter to exist.
I can't find any basis for that conclusion, so I do not find it inevitable.
For a list of related bogus claims that creationists make, see talkorigins.org.
Is this your way of saying that Pasteur was bogus?
No. It is my way of saying that either the creationists are mistaken in their understanding of what Pasteur showed, or the creationists are dishonest and are deliberately misrepresenting it. Personally, I lean toward the "dishonest" conclusion, since I'm sure that at least some of the creationists are smart enough to know better.
By the way, we are still a long way from the topic on this thread. I guess there is a vague relation, in that you are in the USA and are demonstrating your own confusion about science.
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