Witches should be burned.
Wood can be burned.
Therefore, witches are made of wood.
A duck floats.
Therefore, if a woman weights the same as a duck, she's made of wood...and therefore...
When you construct a long chain of, "A -> B, B -> C", you've got to be very rigorous at each step of the process. "A can be said to imply B" and "Under some interpretations of B and C, B could be said to imply C" don't cut it.
Or really small rocks!
I get that, but what specifically would contradict the loose chain I presented? In other words, just because it's a weak chain of thought, that doesn't necessarily mean it's wrong, right? What about the "links" themselves?