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Popper attempts to do away with induction. He does so by insisting that the only valid form of scientific inquiry is to refute provably false hypotheses. That l
by murbard2 12y ago
Popper attempts to do away with induction. He does so by insisting that the only valid form of scientific inquiry is to refute provably false hypotheses. That leaves us with the vague notion of Occam's razor to find out which hypotheses we should go by.
The focus is on rejecting false hypotheses, not on proving correct ones.
Translated into statistics, this gives you p-values. To pretend they're not relying on induction, people test "the null hypothesis", hopping to statistically disprove it.
My point is that, in the absence of another hypothesis, there are an infinite number of ways you can disprove the null hypothesis. In real science, the actual hypothesis is always lurking in the closet, so why not actually model it and compute likelihood ratio?
There is actually a much more rigorous framework for epistemology, it's algorithmic complexity. While it's not practical to use (the most common version is uncomputable), it's an ideal that helps thinking about the scientific method.
- sa1 12y ago>To pretend they're not relying on induction, people test "the null hypothesis", hopping to statistically disprove it. Popper himself doesn't say that disproving the null hypothesis leaves you with the correct one. The problem lies with people who use disproving the null hypothesis as a way of validating the alternative hypothesis. The fact that they feel compelled to seek indirect validation of the model via disproving one other hypothesis is closer to logical positivism, isn't it, where people feel compelled to have a validation for every statement? So isn't p-value testing just logical positivism in the garb of Popperianism? Popper himself in this case would have tried to disprove the actual hypothesis and acknowledged it as a probably valid one in case if didn't find any mistakes, wouldn't he?