[quote author="dougsmith"] But my point is rather that the standard fallacies are fallacies of deductive logic, and whatever else one may say about the virtues of induction, it is not deductively valid.
Every swan I have seen up to now has been white
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Every swan is white
... is not a deductively valid argument. This should be obvious, since there is no contradiction in its being false—e.g., there might be black swans on an undiscovered island somewhere. (As in fact there are black swans).
(law of non-contradiction?)
Right, induction is the logical move of identity from a paticular to the universal. “I have seen a thousand apples and they were all red (particular examples), therefore, all apples are red” (universal). Same thing as you mentioned about the swans and the discovery of black swans in Australia.
Deduction is the move from a universal to the particular..."All birds have feathers (universal). This creature has feathers, therefore, it is a bird (particular).
Fallacies of “appeal to majority” or “appeal to authority” might actually be inductively valid ... depends on whether they have been probabilistically accurate in the past ... !
Ad populum is invalid. The appeal to authority (ipse dixit) is only invalid when the “authority” in question is not actually an “authority” about the topic in question. Such as, “My friend is a physicist and he says Koi should not be kept in an aquarium but rather outdoors in a pond.”
The title of “physicist” is not a qualification alone to determine how best to care for fish or opine on the aquarium hobby lest they invoke chemistry and biology but yet that is not the primary concern of study for a physicist.
I only used the example of Koi because I was instructed by the “experts” not to keep Koi in a tank yet my Koi are doing just fine nonetheless going on 6 months. So much for my “authorities” both in person and on the net.
Regardless, that is an excellent link and any authority is subject to be challenged given the introduction of new evidence. Gotta luv the ideals of the Enlightenment and free thought.