The paper deals with two mistakes ascribed to the Popper's theory of the verisimilitude. The first is the well known critique of the Popper's qualitative definition of the verisimilitude produced independently by D. Miller and P. Tichy which argues that that definition is false. The second is the claim that due to the Popper's theory of verisimilitude and his theory of corroboration inductive and the justificatory elements enter his theory of science. This accusation was raised e.g. by I. Lakatos and J. Watkins. The paper tries to show that while the first critique is true, the second is false.