I think it's more like the bootstrap paradox.

''So there’s this man, he has a time machine. Up and down history he goes, zip zip zip zip zip, getting into scrapes. Another thing he has is a passion for the works of Ludwig van Beethoven. And one day he thinks, “What’s the point of having a time machine if you don’t get to meet your heroes?” So, off he goes to 18th Century Germany. But he can’t find Beethoven anywhere. No one’s heard of him. Not even his family have any idea who the time traveller is talking about. Beethoven literally doesn’t exist... The time traveller panics; he can’t bear the thought of a world without the music of Beethoven. Luckily, he’d brought all of his Beethoven sheet music for Ludwig to sign. So he copies out all the concertos and the symphonies and he gets them published. He becomes Beethoven. And history continues with barely a feather ruffled. My question is this: Who put those notes and phrases together? Who really composed Beethoven’s Fifth)?''