Hume’s problem

Hume’s problem: Because it is self-contradictory to accept the premises of a deductively valid argument but not the conclusion, and it is not self-contradictory to accept the premises of an inductively valid argument but not the conclusion, some other reason must be found for accepting the conclusion of an inductively valid argument.

Source: What is Good? What is Bad? The Value of All Values across Time, Place and Theories’ by John McMurtry, Philosophy and World Problems, Volume I-III, UNESCO in partnership with Encyclopedia of Life Support Systems: Oxford, 2004-11.