That is why it is called faith<quoted text>
Except, apparently, proving god exists...
The Lord tells us to work out our own salvation and that doing good without knowing we are watched or will be held accountable is what makes us His beloved
In other words, if people could prove God existed then how much different might they act to ensure an after-life? But that is not obedience out of love. That is not doing what is right because it is the right thing to do
Those that seek God out have all they need to believe He exists. But it is specifically the lack of proof that ensures man will obey for the right reasons and not for self-serving ones
If you knew for a fact when you committed a crime you would be caught, would you do it? If you knew for a fact if you went 5 miles an hour over the speed-limit you would be pulled over and ticketed would you do it? Of course not. But people will do 10, 15, 20 mph over because they may get away with it
Same principle. God will judge us on our true selves