Elementary my dear....

I've heard of deduction and also induction (although I have always associated that with magnetism and electricity) but I'd never heard of abduction (as a logical term) until the other day.  So what's the difference?  Apparently it's all to do with cause and effect.  If A produces B, and B must be the result of A, then if you observe B you can deduce that there must have been an A.  If the light is on (and you don't have a timer or motion detector or some such) then you can deduce that somebody must have pressed the switch.  If you have a situation where B is almost always (but not exclusively) the result of A, and you observe B, then you can induce that there was almost certainly an A.  If all the lights are out in the street, you can induce that there's been a power cut - although it's just possible that everyone's main fuse has failed independently .  If A is usually followed by B and you observe B you can abduce (if there is such a word) that there might have been an A.  So it's what might be called an intelligent guess, but it is a guess none-the-less and certainly shouldn't be acted on without some corroboration. So that's cleared that up then???