Here's an example, simplified from Wikipedia.
- This hill is fiery
- Because it is smoky
- Whatever is smoky is fiery, as is a kitchen
- So is this hill
- Therefore this hill is fiery
Carey writes: "If the opponent cannot at this point name a counter example invalidating the major premise, the latter has to count as established and true."
It reminds me of Popper's view of science as a contest of conjecture and refutation. You put forth an idea, and see if anyone can disprove it.
Thus, a single example
Stands as inductively ample
Until and unless a counter is found
In which case the theory comes tumbling down.