The Problem of Induction just points to the fact that a conclusion that relies upon assumption can never be logically certain to be true, and the method of inference that is induction (as well as abduction) NECESSARILY relies upon making certain assumptions beyond what is directly observable. Only a priori deduction can arrive at conclusions that are logically demonstrated to be True and this can be done using "Proof By Contradiction".
The Problem of Induction not only applies to abduction equally, it also applies to knowing about events that happened in the past as well as the present (as oppose to merely applying to making predictions about the future). Additionally, just because your prediction turned out to be correct and is repeatable doesn't mean the conclusions that you have based your prediction on is necessarily True. Induction and abduction is therefore methods of inference that is USEFUL, as opposed to TRUTHFUL.
The Problem of Induction just points to the fact that a conclusion that relies upon assumption can never be logically certain to be true, and the method of inference that is induction (as well as abduction) NECESSARILY relies upon making certain assumptions beyond what is directly observable. Only a priori deduction can arrive at conclusions that are logically demonstrated to be True and this can be done using "Proof By Contradiction".
The Problem of Induction not only applies to abduction equally, it also applies to knowing about events that happened in the past as well as the present (as oppose to merely applying to making predictions about the future). Additionally, just because your prediction turned out to be correct and is repeatable doesn't mean the conclusions that you have based your prediction on is necessarily True.
Induction and abduction is therefore methods of inference that is USEFUL, as opposed to TRUTHFUL.