RE: Disproving Odin - An Experiment in arguing with a theist with Theist logic
March 22, 2018 at 4:59 pm
(March 22, 2018 at 3:56 pm)SteveII Wrote:Actually, Jenny is more correct that you are here. If a premise is 100% certain, the multiplication (by 1.0) doesn't change the overall probability. If it is less than 100%, it does and should reduce the overall probability from that.(March 21, 2018 at 4:38 pm)Jenny A Wrote: I remember no such thing. And I'm going to start here, because I find this statement flabergasting.
We are rehashing things already discussed. I cannot possibly know what posts you have read. Here is the very first paragraph under the article of Inductive Reasoning:
Quote:Inductive reasoning (as opposed to deductive reasoning or abductive reasoning) is a method of reasoning in which the premises are viewed as supplying strong evidence for the truth of the conclusion. While the conclusion of a deductive argument is certain, the truth of the conclusion of an inductive argument may be probable, based upon the evidence given.[1] https://en.wikipedia.org/wiki/Inductive_reasoning
Quote:More likely than not is not the standard for premises in syllogisms. (I'll get to whether your premises exceed that standard in minute). If your standard is, "more likely than not," then you are obliged to add more likely than not to each conclusion following from that premise. If more than one of your premises is merely "more likely than not" the chances of the conclusion following from those premises will fall below 50%. For example, if the chance premise A is correct is 51% and the chance premise B is correct is also 51%, then the chances that they are both correct is just 26%. Even if the chances that each premise is correct are 70% the chances of both premises being correct drops to 49% and thus becomes less likely than not.
Just about everything in that paragraph is wrong--starting with your requirements about premises in a syllogism. Read the link above to learn more about an inductive argument.
As to the percentage question, you do NOT multiply probabilities together to come up with a net probability in a syllogism. The conclusion's probability is equal to the lowest of the premise probabilities. Think about it--the more premises you have that are likely true would reduce the net probability if you multiplied them together.
That said,the simple multiplication is only correct when the premises are probabilistically independent of each other. Otherwise, you multiply the *conditional* probabilities of each based on the previous ones to get the overall probability. The conditional probabilities can be very different than the non-conditional probability of each event.