|
hellohellohi -> RE: Don't be afraid of scientific theory (7/2/2008 4:25:16 PM)
|
quote:
Well, that may be because you associate logic with deduction. Yes, and I would prefer a rigorous use of the word logic. I grant inductive reasoning, but of course, I am not alone in denying that there is any sense to the phrase "inductive logic." Don't just make claims, please back them up and explain them. I find the most trivial points the most annoying, if you would like to know, such as the use of that one word. "Extrapolation" not "logic" sounds like a better word to use. You could speak of inductive inference -- and if inference is logic, then, so be it. But still, it is quite clear that when you speak of induction in the sense that you would like to use -- which is of course the common sense -- then you are talking about statistics. There is certainly sense to doing induction, but, as far as mathematics goes, induction is statistics. It's not a bad thing! It just doesn't very well resemble deduction which is uncontroversially called logic. whatever. I have sufficiently beaten a somewhat pointless subject into the ground. However, it does seem that a consideration of the history of the philosophy of science and even of langauge is very appropriate to these forums. Perhaps the original use of the term "induction" was an appropriation from or analogy to mathematical induction? I don't know. They certainly resemble each other -- except, one, I say, relies on logic, while the other is a reckoning from probability. Is it reasonable to say that if a sample is found ato have a low standard deviation (taking into accoutn the sample size) that the true mean of the population has been approached? Of course! Does it mean that logic tells us it MUST be so? No, of course not -- it tells us just that: it is likely so. If you want to call that logic -- okay -- but it rings poorly in my ears, because logic -- in some minds -- is something that is airtight.
|
|
|
|