In fact, no matter how hard you try to think things through, you're going to find that at some level you must simply accept on faith the idea that certain basic assumptions are true.
That's not quite the same point I understood you to be making earlier.
Of course it's true that not everything can be proved. My only point is that I try to think carefully about the things I care about, the things I express opinions on, and I try to understand what are the things I'm taking for granted (the things I'm not going to, or am not able to, prove).
As I said originally, I make up my own mind about things. I didn't say I can prove everything.
If I had more time, I'd really like to discuss this further. But alas, I don't right now. Perhaps I'll hit you up on it later.