3 ms·
OP is using a lot of words to describe what seems to be the "propensity" interpretation of probability [1] The propensity interpretation generalizes the relati
by mturmon 3y ago
OP is using a lot of words to describe what seems to be the "propensity" interpretation of probability [1]
The propensity interpretation generalizes the relative-frequency interpretation to allow for single-shot "propensities" that may be constrained by (e.g.) physics, but are not intended (or required) to be repeated.
The example I've seen is the chance of a tossed thumbtack to land point-up. There are odds associated with this, but you don't need a relative frequency interpretation to quantify them.
I think it's also relevant to other non-repeatable events like "rain tomorrow" or some of the other forecasting scenarios Scott is listing. The examples he's choosing tend to kick up a lot of dust ("drinking monkey blood causes autism") and he's got a chip on his shoulder about it all, so it's not really pleasant to engage with.
[1] One take, although there is a literature: https://en.wikipedia.org/wiki/Propensity_probability#:~:text=The%20propensity%20theory%20of%20probability,frequency%20of%20such%20an%20outcome https://en.wikipedia.org/wiki/Propensity_probability#:~:text....
- Vecr 3y agoGuy who has Bayes' theorem as his column description is a fan of propensity? What's going on? It's still there, I checked. "P(A|B) = [P(A)*P(B|A)]/P(B), all the rest is commentary." How many non-Jews get the "all the rest is commentary" part?
- wodenokoto 3y agoFor your thumb tack example you can at least do some simulation. My reading of the article is that the author argues that it’s totally reasonable to use 5% when you have no idea but want to sound more precise than “I feel like it’s unlikely”
- Vecr 3y agoYou can reverse engineer probabilities (or P-words if you don't want to call them that) from the bets you would make. Obviously there's a problem there if everyone's dead, but they don't have to be literal bets. Someone could estimate your P-word of doom by what you say and how you think about things/act. The article argues that it's fine for you to just come out and say it.