Atheists, what are the most convincing theist arguments you heard of?

[Nonpareil]

Have you ever experienced anything that changes that hasn't been caused to change by something else?

Not within the universe.

Have you ever experienced anything outside the universe that changed because of something else?

Probably not.

Your refutation requires you to deny the evidence of your own senses.

No, Neo. It requires me to identify what evidence I actually have, what I have perceived, what I have not perceived, and what conclusions that actually allows me to draw.

Perceiving things within the universe does not allow us to make conclusions about how things would behave outside the universe. As such, Aquinas' argument is bare assertion at best.

In context, God is understood to be the ultimate unchanging entity; however, the Scholastics would have recognized nonphysical mathematical objects as unchanging intermediates. The demonstration doesn't mention that because it was assumed that everyone already knew that, which clearly you don't.

And this is a coherent objection to the above... how, precisely?