My friend claimed that time cannot extend infinitely into the past. He explained:
"If an event A will happen in 10 years, when do you expect it to happen? In 10 years. But if event A (such as the event of our conversation) will happen in infinitely many years, when do you expect it to happen? Never. Therefore, if time was infinite into the past, this conversation would never occur."
First, I find this argument extremely weak and totally unconvincing. Just because something doesn't make sense to us is only "infinitesimal" evidence that it is false.
Secondly, there is another issue that I find with it that I don't fully understand myself, but I have a hunch it is right. Basically in his argument he is implicitly assuming that he can pick a point P on a timeline and view any other point from the POV of point P, including points that are infinitely far away from P (which doesn't really make sense by itself). But I have a hunch that this ability to pick a specific point P on the timeline is exactly what he is trying to disporove.
Can somebody please help me understand and flesh out my own argument, and/or offer a better alternative?