I don't know whether it's bad memory or selective memory at work, but let's return to the Great Smoke Detector debate.
Someone on here suggested that I could test whether a smoke detector worked by pushing the button on it. This is patently false. The only way to test whether a smoke detector detects smoke is by exposing it to smoke. That's so obvious that even Loudmouth cannot argue against it.
Then someone suggested simply lighting a match. However, I doubt that lighting a match is a fair test of whether a smoke detector works. Let's assume that we light a small match and the smoke detector does not go off. Does that imply that a smoke detector might not detect a greater amount of smoke, such as the amount produced in a major fire? Absolutely not.
The only fair test of a smoke detector is to place a smoke detector above a fair sized fire in an enclosed space, such as a house or apartment. However, the benefits of doing so (you know whether the smoke detector works) are far outweighed by the risk (the fire might escape your control and burn your house down).
This leads me back to the original point.
Why do we have smoke detectors? Houses in Peru are made out of brick. Brick is not particularly flammable. I don't know anyone whose house has burned down. Even my father-in-law's house, which has a horribly done electrical system–you have to jiggle the wires on the wall to get the lights to come on. In fact, once while my wife was there cooking with an electric stove using an extension cord, the cord itself actually caught fire and I had to extinguish it. Yet the house has been around for some 30 years and has never burned down.
Nevertheless, we have smoke detectors and fire extinguishers and all of that.
Why? Induction and empiricism would seem to argue that these things are unnecessary. However, this is missing the point. We have smoke detectors because the cost of a smoke detector is
low whereas the value of my children's lives is
high. In other words, before I would discard a smoke detector as unnecessary, I would need to be 99.99 percent certain that the smoke detector did not work. Even the most expensive smoke detector doesn't cost more than PEN 60, whereas I would gladly pay tens of thousands of PEN to save the life of even one of my children.
Therefore, the logical thing to do if one suspects that a smoke detector might not work is
to install a second one of a different brand. This gives you twice the possibility of saving your children's lives and the cost is low.
This is what we call
normative decision theory. This is the proper way to make decisions not, as some suggested, to employ induction.