re: Do you accept the notion of the Big Bang as the origin of our universe?

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I should have said the Big Bang Theory can never be proven.

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But it can and is being proven. The recent discovery of gravity waves and the cosmic microwave background radiation has confirmed Alan Guth's Inflation Model which is a critical part of the Big Bang Theory.

This isn't the only evidence, however. Here's a fun worksheet that details evidence for the BBT.