3 ms·

That is a gross misunderstanding of both uncertainty and science. Uncertainty is based on measurements made. The 1% you came up with is an entirely made up numb

That is a gross misunderstanding of both uncertainty and science. Uncertainty is based on measurements made. The 1% you came up with is an entirely made up number. Also, science is explicitly not about assumptions. It is requires testable predictions. The complexity of the solutions does not matter. Otherwise we would still be using Newtonian mechanics for everything. The problem with your dragon example is that it is testable. This moves it in to the realm of science.

Houshalter 13y ago
Science is merely a special case of Bayesian probability theory. You don't have to have evidence in order to assign a probability to something. In fact it's impossible to update probability estimates without already having a prior probability. Anyways you can't say the invisible dragon in my garage is testable. Say you throw flour on it. I just say "maybe the dragon is impermeable to flour." You try to touch it. I say "It moved to avoid being touched." You listen for sounds. I say "it's a quiet dragon." Etc. This is similar to religions constantly changing every time some fact they claim gets proven false. I could always just say "the existence or non-existence of the dragon is outside the realm of science." At the end of the day I still highly doubt you are going to believe there is a dragon in my garage. In fact I doubt you will accept even the tiniest possibility that there is a dragon in my garage. Well maybe tiny possibility but not worth considering. Not any larger than any other crazy idea people can come up with. This is perhaps a very complicated way of reasoning back to the standard idea most scientists will tell you: "It's stupid to believe things without evidence" or "most theories turn out to be wrong." As I said, religion isn't special. Everything here applies to it just as much as the dragon. A good explanation of Bayesian reasoning: http://yudkowsky.net/rational/bayes/ http://yudkowsky.net/rational/bayes/
- eeperson 13y ago
  Bayesian probability still requires data as an input or your result is meaningless. If you start with a made up value and update it with more made up values, you still have a made up value. You still haven't offered any explanation for how you were able to come up with a 1% probability that P=NP. Your example still isn't the same as mine. Mine didn't involve goal post moving. For your example to be the same, you would have to start off with a dragon whose presence is not detectable in any way. What's the difference between an empty garage and one with an undetectable dragon in it? Absolutely nothing. I'm not saying you should believe in the dragon, I'm saying that determining the presence of the dragon is not done scientifically.
  - Houshalter 13y ago
    It is a made up number. So what? It's not made up out of thin air though. I should expect to be wrong about 1% of the time when I make such a prediction (and if I'm not it's because I was over or under confident, and should adjust my confidence accordingly.) So where did the prediction itself come from? My brain, obviously. And that's not a bad thing. Humans are generally good at estimating probabilities. It is essentially what the brain evolved to do. This isn't unique to humans though, there are computer algorithms which can do similar tasks, and mathematical formalizations for calculating certainty. You can and should be able to assign a probability estimate to anything. When you open your garage door you should expect not to see a dragon. You should be very certain that you won't, actually. You can't not have any degree of certainty about something. You can expect something to happen. You can expect something not to happen. You can be slightly certain that something will happen. You can be moderately certain. You can think it might have just as good a chance as happening as it does of not happening. But you can't have no idea what so ever how likely it is to happen. You have to have some expectation of how likely an event is to happen, you can't have no expectation at all. There is no such thing as a "separate realm" where ideas can't have any certainty values of how likely they are to be true. As for moving the goal post, religion has moved the goal post plenty. From perfectly testable predictions, to less testable claims, to claims that can't be tested at all. If you are upset that I, personally, moved the goal post, then just pretend that it was my ancestors that claimed there was a dragon in my garage, and my grandparents decided it was invisible, and my parents decided that it was impermeable to flour, and now I believe that it is a completely untestable dragon, and have decided that dragons are not a matter that is testable by science, and that I've been completely consistent with this belief.
    - eeperson 13y ago
      >It is a made up number. So what? It's not made up out of thin air though. Wait what? Yes you can assign a probability to everything, it doesn't necessarily mean anything, but you can do it. I hope that is not how you prove all of your math problems. I'm sorry I must not have been clear in my previous post. I did not mean that you personally were moving the goalposts. I meant that your hypothetical person who believed in garage dragons was moving the goalposts. I was trying to argue that your analogy was a straw man argument. Also, your argument that 'religion has moved the goalposts' Would be an example of an association fallacy: http://en.m.wikipedia.org/wiki/Association_fallacy http://en.m.wikipedia.org/wiki/Association_fallacy

Houshalter 13y ago

Science is merely a special case of Bayesian probability theory. You don't have to have evidence in order to assign a probability to something. In fact it's impossible to update probability estimates without already having a prior probability. Anyways you can't say the invisible dragon in my garage is testable. Say you throw flour on it. I just say "maybe the dragon is impermeable to flour." You try to touch it. I say "It moved to avoid being touched." You listen for sounds. I say "it's a quiet dragon." Etc. This is similar to religions constantly changing every time some fact they claim gets proven false. I could always just say "the existence or non-existence of the dragon is outside the realm of science." At the end of the day I still highly doubt you are going to believe there is a dragon in my garage. In fact I doubt you will accept even the tiniest possibility that there is a dragon in my garage. Well maybe tiny possibility but not worth considering. Not any larger than any other crazy idea people can come up with. This is perhaps a very complicated way of reasoning back to the standard idea most scientists will tell you: "It's stupid to believe things without evidence" or "most theories turn out to be wrong." As I said, religion isn't special. Everything here applies to it just as much as the dragon. A good explanation of Bayesian reasoning: http://yudkowsky.net/rational/bayes/ http://yudkowsky.net/rational/bayes/

eeperson 13y ago
Bayesian probability still requires data as an input or your result is meaningless. If you start with a made up value and update it with more made up values, you still have a made up value. You still haven't offered any explanation for how you were able to come up with a 1% probability that P=NP. Your example still isn't the same as mine. Mine didn't involve goal post moving. For your example to be the same, you would have to start off with a dragon whose presence is not detectable in any way. What's the difference between an empty garage and one with an undetectable dragon in it? Absolutely nothing. I'm not saying you should believe in the dragon, I'm saying that determining the presence of the dragon is not done scientifically.
- Houshalter 13y ago
  It is a made up number. So what? It's not made up out of thin air though. I should expect to be wrong about 1% of the time when I make such a prediction (and if I'm not it's because I was over or under confident, and should adjust my confidence accordingly.) So where did the prediction itself come from? My brain, obviously. And that's not a bad thing. Humans are generally good at estimating probabilities. It is essentially what the brain evolved to do. This isn't unique to humans though, there are computer algorithms which can do similar tasks, and mathematical formalizations for calculating certainty. You can and should be able to assign a probability estimate to anything. When you open your garage door you should expect not to see a dragon. You should be very certain that you won't, actually. You can't not have any degree of certainty about something. You can expect something to happen. You can expect something not to happen. You can be slightly certain that something will happen. You can be moderately certain. You can think it might have just as good a chance as happening as it does of not happening. But you can't have no idea what so ever how likely it is to happen. You have to have some expectation of how likely an event is to happen, you can't have no expectation at all. There is no such thing as a "separate realm" where ideas can't have any certainty values of how likely they are to be true. As for moving the goal post, religion has moved the goal post plenty. From perfectly testable predictions, to less testable claims, to claims that can't be tested at all. If you are upset that I, personally, moved the goal post, then just pretend that it was my ancestors that claimed there was a dragon in my garage, and my grandparents decided it was invisible, and my parents decided that it was impermeable to flour, and now I believe that it is a completely untestable dragon, and have decided that dragons are not a matter that is testable by science, and that I've been completely consistent with this belief.
  - eeperson 13y ago
    >It is a made up number. So what? It's not made up out of thin air though. Wait what? Yes you can assign a probability to everything, it doesn't necessarily mean anything, but you can do it. I hope that is not how you prove all of your math problems. I'm sorry I must not have been clear in my previous post. I did not mean that you personally were moving the goalposts. I meant that your hypothetical person who believed in garage dragons was moving the goalposts. I was trying to argue that your analogy was a straw man argument. Also, your argument that 'religion has moved the goalposts' Would be an example of an association fallacy: http://en.m.wikipedia.org/wiki/Association_fallacy http://en.m.wikipedia.org/wiki/Association_fallacy