Or am I in error in thinking she believed nothing transcending logic could be known - or even exists?
Yes, you are wrong. Ayn Rand believed in the primacy of existence. Logic is only a method and does not exist at all, except epistemologically. She did believe there was only one correct method of reason (logic) determined by the nature of real existence and the nature of human minds. They determine the necessity and nature of logic as the method by which the rationally conscious understand the world.
Regi
Yes, you are wrong.
I really don't understand how your explanation following says that Rand did not believe that "nothing transcending logic could be known."
My understanding of Rand is that she denied the transcendent exists. I remember a discussion thread on this from a post of her work.
Perhaps it is a confusion of the term transcendent - I'm using it here for "transcending reason/logic." I believed that Rand would say this isn't transcendent, it's irrational.
Am I wrong again?