The same as it was up to the point

What you are saying is that you could have chosen a peach instead of chocolate cake just then, as things actually were. You think you could have chosen a peach even if everything else had been exactly the same as it was up to the point when you in fact chose chocolate cake.

Thomas Nagel - What does it all mean?

I don't understand the bold word. Could you explain it for me?

I've tried to rewrite the clause as: "even if everything else hadn't been changed up to the point "

Is it correct