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Popper's argumentation against inductionism was inspired by Hume's conception. On one hand, the inductionism is psychologically understandable, on the other hand, it is logically incorrect. Being grounded in multiple observations, it is a myth of uncritical methodology. On Popper's view, not even an empirical science builds on the induction principle. Conceiving of inductive method as the criterion of verification implies an incorrect conception of demarcation. The problem of induction concerns the relation between true universal statements and experience as such. The difficulties of inductive logic can not be removed. Further, Quine's, Putnam's and Lakatos' criticism of Popper's approach is presented.