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cinc's avatar

1 is simply an empirical question, and physicists debate this. It's quite possible time isn't even infinite in the positive direction - it may end with a big crunch.

But I think more crucial is that 2 goes wrong in many ways. We're dealing with infinities and continuous values, so we use PDF here, not simple division. It doesn't make sense to ask what the probability that you exist at specific point is - you should be integrating over a range of values. You could say this range is like 80 years, but since it's an infinite set, we can't have uniform distribution - it will diverge if it's uniform, and you also have to be able to normalize the distribution. Presumably then, the PDF would make the probability you exist 5 billion years ago or 17 billion years from now near 0. I suppose a range you could integrate over is the time period that humans have existed. This at least will give you a non-zero value, but I'm still not sure what this probability measures. Human existence, and your existence, are not random events. They're determined. It's the result of some initial conditions in conjunction with nomological laws. Since it's not a random event, as far as I can tell the only meaningful probability to talk about is posterior probability, which in this case is 1.

Notice that if Huem's logic was coherent, the probability of any event at all would be 0 - every event occurs in time, then we could ask 'what's the probability this coin was flipped NOW' - it would always be 0 if Huem was correct.

But I think it's important to note here that even if the probability was 0, that wouldn't mean it's impossible. The probability of picking a specific number from a continuous interval - like .7452 from the real numbers between 0 and 1, is 0. But it doesn't mean it's impossible to get a specific number or that those numbers don't exist. The probability you get a specific number here is 1.

I'll try to be really brief on this next part: when it comes to surviving death, this seems to just violate everything we understand about physics and biology and chemistry. Our mental states are generated in the brain - if there is no brain, there is nothing to survive.

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Joe Schmoe's avatar

I think the probability argument fails. Imagine I pick random real numbers between 0 and 1 a countably infintie number of times:

{pick 1, pick 2, pick 3, ...}

Suppose that on the third, fourth, and fifth pick the number happens to be 0.55. The chance of this happening was 0 (as was the chance of picking any three real numbers), but this doesn't imply that every other number which was picked will also be 5. The prior probability that the third, fourth, and fifth pick would be 0.55 was 0, but once I know that they were 0.55, the condtional probability that they were 0.55 given that they were 0.55 is tautologically 1.

So step 4, "Therefore the chances you’re alive now must be higher than zero" is trivially true: the conditional probability that you are alive now given that you are alive now is 1, which is greater than zero.

In other words, the fallacy occurs with steps 2 and 4. It is an attempt at modus tollens, to deny the consequent, but it is a fallacy of equivocation: the "probability" or "chance of being alive" referenced in each statement use the same phrasing, but refer to different things: one a prior probability, and the other the conditional probability.

To drive the point home, let's recast it:

1. There are 7 differently colored balls in a basket.

2. One of them is red. If you pick 1 ball, your chances of picking the red ball was 1/7

3. You happened to pick a red ball, so your chances of picking the red ball is 1.

4. Therefore, by modus tollens, you didn't actually only pick 1 ball.

By the way, I think the empirical cases are actually quite compelling and worth looking into. The Buddhist conception of reincarnation is different as well and interesting. You might be interested in the book by Dr. Ian Stevenson about children who remember past lives. The book has a long discussion about all the sorts of issues you would naturally bring to the table. Many of these cases were pre-internet too, and occured in cultures that would surprise you.

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