There are also arguments against Pascal's wager that do not apply to climate change. For example, you can postulate an anti-Christianity Hell, where only non-Christians are spared. This poses a new Pascal wager. There's no reason to think this wager has any different odds than the original: they have the same prior, hence cancel out in an expected value calculation.
Could one not also postulate that we are approaching a new ice age, and that carbon emissions are keeping the world from freezing over?
Given that there is no similar evidence for the Anti-Christianity you postulate, the odds don't cancel.
Another interesting result of this line of thinking: a rational Buddhist/Hindu should convert to Islam/Christianity. If Christianity is correct then you avoid burning in hell forever. If Buddhism is correct you reincarnate and get another shot at enlightenment.
Why doesn't such a person show up in Roman records or any one else's records besides Christians then? This is not evidence.
http://rationalwiki.org/wiki/Evidence_for_the_historical_exi...
I'm not convinced this is true. Certainly the story of Jesus is evidence, but it's not clear which direction the evidence should push us. Someone making a claim does not always mean our posterior estimate on the claim should increase.
Here's a simple example:
I hand you a small bottle filled with medical-looking pills and a nice label. I ask you, "What's the chance these pills cure malignant melanoma cancer?" You think for a moment, then answer, "Very small. There may be a cure eventually, but I've never seen evidence. I'm not on the cutting edge of research though, so perhaps this is a new breakthrough I haven't heard of. Plausible, but unlikely."
I then say, "Well, let me reassure you by showing you the website I ordered the pills from."
I bring up the website, which shows testimonial after testimonial of people claiming the pills cure malignant melanoma cancer. You then respond (correctly), "I've decreased my estimate. There is still a chance, of course, that the pills work, but I now know these pills are not from a legitimate medical breakthrough I hadn't heard of yet. In fact, this website pattern matches as a scam, so I'm decreasing my posterior to an estimate even lower than my completely uninformed prior."
P(Pills work | testimonials) < P(Pills are a scam | testimonials)
Of course, the testimonials would be positive evidence if the pills had passed clinical trials.
Now, which is bigger:
P(Jesus is the son of God | Jesus said he is the son of God)
or
P(Jesus is was just a guy | Jesus said he is the son of God) ?
Honestly, this is not clear to me at all. But I think once we start taking in all the other evidence related to (but not necessarily in favor of) Christianity things become more clear. Just like the pill's website pattern matched for a scammy website, it seems to me that the evidence related to Christianity pattern matches to the evidence related to other man made religions. So I conclude:
P(Christianity is man-made | evidence) > P(Christianity is correct | evidence)
Hence P(Christianity is correct | evidence) may very well be less than the uniform prior that a particular god exists.
Edit: The above symbols aren't right, as yummy points out below, but the argument and analogy is sound. What we care about is the change in probability of each possibility. If
P(Christianity is man-made | evidence) > P(Christianity is man-made)
then we can conclude that Christianity is less likely due to the evidence.
My argument is only that any semi-mainstream religion is more likely to be true than some random arbitrary belief system. I.e., Christianity and Islam are both more likely than Anti-Christianity.
I just don't buy your argument that the evidence for all possible religions (including ones you made up for this argument only) cancel out. That's a massive coincidence. And if the evidence only cancels out 99.9999999% rather than 100%, you find yourself back in a Pascal's Wager situation.
Admitting the possibility that god (or god-like beings) exists does not require throwing away belief in empirical reality. See, for example, simulation theories.
In any case, my reasoning is merely a continuity argument. TheEzEzz asserted that the very small probability of Christianity and Anti-Christianity, and Islam+Anti-Islam cancel exactly. I'm asserting that if the distributions are continuous then this has probability 0 - it takes a ridiculously tiny amount of evidence or an infinitesimally different prior to put you back into Pascal's wager territory.
Obviously I'm not saying that it doesn't (well it was obvious to me...). It's a stand-in for everything you'd use. The point is, it's beliefs that stuff you see working will continue working, be it radar or temperature gauges, the laws of physics, or mathematical simplifications or approximations. There is presumably some reason why some seemingly totally made up constants aren't actually 10 times the chosen values, or why it doesn't matter, or how likely that's the case. The difference between this and beliefs about God is that if you don't have reasons why you think the CO2 reading are wrong or why physics will change or why certain mathematical simplifications will stop working, you have to give reasons, you're, epistemologically speaking, discarding empiricism from your toolbox. You can't simply go "Laa dee daa I'm picking different priors than you." There has to be some reason (though it might be that they're going laa dee daa).
> Admitting the possibility that god (or god-like beings) exists does not require throwing away belief in empirical reality.
That's what I said. The difference is that unlike science and measurements of reality, there's no endless stream of evidence to beat your initial priors out of you. Unless you have 100% faith that past events can't be used to predict future outcomes, you'll get dragged over to the empiricist side. But you could have 90% faith in Christianity and maybe that'll only get beaten down to 40%, because there's just no evidence. (Not to mention the more practical way to get people to change their beliefs, no visible consequences for being wrong, either.)
> it takes a ridiculously tiny amount of evidence or an infinitesimally different prior to put you back into Pascal's wager territory.
Sure. But the same goes for putting you into anti-Christianity territory. The expected displacement a tiny amount of evidence would push you is 0 (if we regard the continued absence of new evidence to be evidence itself (e: and assuming potential "big" evidence is neglible, of course)). The whole argument against Pascal's wager is that it's about what your priors are.
And yeah, I don't know what TheEzEzz's 50/50 symmetry is all about.