Belz...
Fiend God
- That just doesn't seem like a problem to me.
Good, then stop pretending like it's meaningful. You've already agreed that your existence has a likelihood of 1. So that's the end of the thread.
- That just doesn't seem like a problem to me.
- I mean, given only that time began 14 billion years ago, how probable is it that the present time or moment would be between 1942 and 2042 Gregorian time.
Dave,
- Given OOFLam, you're certainly correct.
- But forget the actual question for the moment, and just consider the lottery question.
- We have a lottery barrel of 100 tickets, one of those being yours. And your ticket was drawn. What is the likelihood of your ticket being drawn if this was a fair lottery?
- What if we have a computer containing a million numbered entrants, and the one entrant selected was you? What if we have a computer with 140,000,000 entrants?
js,
- Good question.
- But, I think that you're really asking about the posterior probability of the coin being fair -- given 5 straight head-tosses. And, the answer to that question requires an estimate of the prior probability that the coin is fair.
- I've never seen a two headed coin, so unless there was money riding on this, I'd suggest a prior probability of 99.99% that the coin was fair and the posterior probability that the coin was fair would be (.5*.5*.5*.5*.5)*.9999/((.5*.5*.5*.5*.5)*.9999 +1*1*1*1*1*.0001), or
0.031246875/(0.031246875+.0001)=0.031246875/0.031346875, or approximately 99.7% (by my calculations).
- Anyway, I'm trying to propose an analogous question concerning time. My claim is that the likelihood of now being between 1942 and 2042 -- given that time (somehow) began 14 billion years ago, is at most 1/140,000,000, and extremely small whatever.
- Do you think that that claim makes any sense?
- But 1942 - 2042 is not relative.
- That just doesn't seem like a problem to me. Is the present time between 1942 and 2042 Gregorian? Obviously, it is -- and, it will be for the next 23 years.
- I mean, given only that time began 14 billion years ago, how probable is it that the present time or moment would be between 1942 and 2042 Gregorian time.
Back to immortality....
Oh, and Jabba, what makes you think that the century between 1942 and 2042 is special?
- I mean, given only that time began 14 billion years ago, how probable is it that the present time or moment would be between 1942 and 2042 Gregorian time.
That's his own lifetime, assuming he lives to age 100. It was chosen to be his lifetime because it contains all the times Jabba could conceivably talk about as being "present time" or "now" from his perspective. What a remarkable coincidence that such a seemingly random variable as "now" should land in such a narrow slice of time! In the same way that the circle on the barn was selected because it contained the bullet hole, and what a remarkable coincidence it landed there instead of any of the large number of places on a typical barn wall that a bullet could land.
No, it's not. Thanks for reminding me why I wasn't participating here for some time.
- In Bayesian statistics, probability and likelihood are not the same. From https://www.psychologicalscience.org/observer/bayes-for-beginners-probability-and-likelihood:Back to immortality....
Jabba, what is the likelihood that you will be alive in the year 2119? Maybe another way to think about it is, what is the probability that you will be alive in 2119 versus the probability that you will not?