Thanks to the destruction of that same library- supposing it ever existed- very few books have come down to us from Antiquity. Those we possess are corrupt, pseudonymous and of uncertain date. Ancient writers were unconstrained by scholarly ethics. Ancient historians did their research by scouring the market place for rumour. Also, they made things up. Just about the only ancient writings you can trust are the poems.
So when did humankind start keeping tolerably accurate records of its doings? Difficult. I think the invention of printing had a lot to do with it. Suddenly books were widely available and the keeping and questioning of the written record became a matter not just for one or two scholars, but for anyone who could read. Thank God for Gutenburg. Even so, I don't believe anything like a modern literary and scholastic culture emerged until the 18th century- with the French encyclopaedists and the hangers-out in the London coffee houses.
What a young civilisation we are.