With Induction, there is no requirement for consistency between derivations. Thermodynamics does not have to jive with Molecular Biology in its final results. Each God gets his own space. [I’ll get to this wonderfully liberal rule in later.]
And Induction’s ‘Rejection-Machine’ becomes functional, takes life, because of the word ‘Not’. And its sidekicks, ‘Always’ and ‘Never.
Things work, but not for the reasons you think they do. And they could stop working, again not for the reasons you think they might.
As with the Principle of Contradiction, the early Greeks refused to give the Induction-Rule the status of ‘Law’ [Irascible party-poopers, these early Greeks. ‘Random’ is a complicated idea. I’ll get to it in a later Post]
It was a helpful rule, an informed conjecture, but no, it was not ‘Law’. For a conjecture to become law it is required that it ‘Always Work’.
The Laws of Motion cannot turn off at night, nor stop working when you are not looking. Or do they?