Originally Posted by
Tiglath
Of course there is a point. If you remember, I contrasted how probability has tangible utility to the population, but hardly any to the individual. You disagreed.
Your explanation that "Probability is applicable to every individual" explains nothing, it just rephrases your claim. Repeating a claim using different words is no evidence for the claim, and the burden of proof remains on the claimant.
You don't seem to grasp this contrast:
(1) For the population of NYC, you can actually turn the 14.3 % probability into concrete measures that will meet the needs the city is about to face regarding heart patients. Those are measures and resources you can enumerate and count, like number of hospital beds and doctors in cardiology departments, and the necessary equipment. And the prediction will turn out to be correct in a nicely approximate way. That is, for the population, probability is of great utility
(2) For the individual New Yorker there is nothing comparable. All you say is that the probability applies, but it signifies nothing further. A probability of 14.3% offers no guidance to the individual on anything practical, like how often to check the heart, and in the end inferences may turn out to be totally incorrect because that particular individual may not die of heart failure.
Why can't you see this contrast, I wonder.
This is a problem inherent to probability. Just because multiple human events form a pattern it does not mean that any single particular human shall conform to the pattern. All you can say is that under similar conditions the same set of individuals will likely exhibit a similar pattern again.
The only exception is for the extreme cases of probability. The probability that all persons in their eighties will die is 100%. That tells any octogenarian unequivocally that he is doomed.
I don't know how you figured that I asked you for a syllogism, or a yes/no answer, a propositional calculus lecture, some boolean mis-mash, or the kitchen waste disposer, but I did not. Perhaps you just like to throw around big words to dazzle the natives but I assure you that all I wanted to know and I still want to know is how probability benefits the individual the way it benefits the population, which according to you it does, but you are stuck in saying that it just applies. Explain further or admit that you cannot.
I am sure that we all "grasp the concept" of statistics applying to populations - it's just that it's irrelevant to your peculiar approach to probability.
My suggestion, seriously, is that you bring it up in class and discuss it there. This is not an appropriate forum for more than one or two explanatory posts on this