Analogies are great guess generators<< - derekz
I agree. Eliezer finished off by saying how analogies were often useful in mathematics. I agree, and would say that derekz has pinpointed the reason why. In maths, it’s fine to guess so long as you then go and prove it. However I don’t see why analogies can’t be used in this manner outside mathematics. I’m happy to follow a line of reasoning that says “Birds have wings that flap—and the flapping is associated with flying. Moreover, that flapping wings would help flight fits in with my view of the universe and it’s physics (however naive that may be). Hence flapping wings is a good thing to try when designing a flying machine.” I would feel no shame following that reasoning, and it appears to me to be “analogous” to reasoning via analogy in mathematics. The key point is that you don’t assume your analogy has yielded a correct result. You just use it, as derekz said as a guess generator.
Seems I can’t close tags properly. My apologies.