It is often admitted that inductive reasoning has something to do with probability.
While in a ( valid) deduction the premises necessarily imply the conclusion, in an inductive reasoning the premises make the conclusion probable.
But this is somewhat ambiguous: does probability qualify here the conclusion itself or the supporting relation between the premisses and the conclusion?
Suppose P1, P2, P3 are the premises of an inductive reasoning and C is the conclusion.
What does it mean to say that this inductive reasoning is strong.
Does it mean that
(1) Probabably ( P1&P2&P3 --> C) is true.
(2) P1&P2&P3 --> (Probably C is true)?
It seems difficult to admit interpretation (2) for inserting the probability notion in the conclusion itself might turn the reasoning into a deductive one.
(1) No woman has ever been elected President of the US. (2) Therefore, probably the next President will not be a woman.
This argument is not inductive ( it seems to me) since the ( statistical) probability of the gender of the next President is defined by the actual gender of the previous Presidents. So, arguably, this reasoning is deductive ( I mean, the conclusion is analytically contained in the premise).