Why are you digging yourself a deeper hole?<quoted text>
As a math professor, I have no position. Math is an abstract study whose contact with reality is not required.
As a *physics* student, the answer depends a bit on what you mean. It is *possible*, for example, that space is infinite. It is also possible that time is infinite into the past. Neither of these possibilities are known to be true and there is at least some evidence that time may be finite into the past. The flatness of space suggests that it is infinite in extent, but we do not know that for certain as yet.
First you claimed to be a math professor so I asked the question directed that title and you default, take no position. I did not ask you to define what math is, I am well aware being an Expert in all things.
Next, can you name one law if physics that supports an infinite universe. Bet it is not going to be the 2nd Law of thermodynamics nor will you want to discuss the implications of red shift.
In case you also want to claim to be a philosophy student to your extensive list of academic achievements, try this one on for size.
If you claim an infinite regression of past events, then we would never reach a point in the present.