I start things off here with a basic airfoil question I was always curious about. With an airfoil lift is created because of the different speed at which the air flows over the wing and thus creates lift. Correct me if this is wrong.

Question is with a fully symmetric airfoil wouldn't the air flow over the wing top and bottom exactly the same and thus cause the same forces above and below it? If this was the case how would upward lift be created with a fully symmetrical airfoil?