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I NEED SOMEONE WITH EXPERTISE IN PROBABILITY AND STATISTICS.

 
 
Brandon9000
 
  1  
Reply Sat 24 Sep, 2005 12:50 pm
Frank Apisa wrote:
ebrown_p wrote:
Frank,

If you agree with Brandon's statement about the fair coin, then we can be done with the Mathematics of your argument.

Arguing about the what the argument is isn't any fun.


I have no problem with the fair coin...but if you read his statement...you will see that it has no impact on the probability fallacy in his original statement...nor in the logic which he applies.

The fair coin argument is truly a red herring. He might just as well have offered that 2 + 2 = 4 as an argument that his original statement...and the way he is applying it...is correct.

Tossing a coin, and looking for WMD in Iraq are similar in the one sense that in both cases there is some probability of success and some of failure, as a result of incomplete knowledge of the facts. That is the only similarity I was using.
0 Replies
 
parados
 
  1  
Reply Sat 24 Sep, 2005 12:57 pm
Brandon9000 wrote:
All I intended to say is that if an event, X, has a probability p of occurring, then failure to observe p on the first few trials does not imply that X will not occur on the next trial. Similarly, when we invaded Iraq, there was a probability, p, that we would find WMD. It was probablistic because our knowledge of the truth was incomplete. If you knew all the facts connected with tossing a coin, you could predict the outcome, but your incomplete knowledge renders the result probablistic. Should we again invade another country under similar circumstances, we might very well find hidden WMD. I most certainly did not say that the real probability was .3. That was an absolutely arbitrary number used to facilitate the discussion. You folks have now succeeded in wasting a lot of time and energy over something that is virtually self-evident.


Without quantifying p you can't logically claim you would very well find WMD. Assigning p a number high enough to make it likely is one thing. Arguing that the number is hypothetical but your conclusion still stands is another thing.
Lets assume p = .0005. Now your conclusion of 'very well find' makes no logical sense. In fact you probably won't find. Given the limited number of countries in the world, using .0005 you can probably invade most of them and never find it.

The problem is Brandon is that you created a hypothetical probability designed to support your preordained conclusion.
0 Replies
 
Brandon9000
 
  1  
Reply Sat 24 Sep, 2005 01:03 pm
parados wrote:
Brandon9000 wrote:
All I intended to say is that if an event, X, has a probability p of occurring, then failure to observe p on the first few trials does not imply that X will not occur on the next trial. Similarly, when we invaded Iraq, there was a probability, p, that we would find WMD. It was probablistic because our knowledge of the truth was incomplete. If you knew all the facts connected with tossing a coin, you could predict the outcome, but your incomplete knowledge renders the result probablistic. Should we again invade another country under similar circumstances, we might very well find hidden WMD. I most certainly did not say that the real probability was .3. That was an absolutely arbitrary number used to facilitate the discussion. You folks have now succeeded in wasting a lot of time and energy over something that is virtually self-evident.


Without quantifying p you can't logically claim you would very well find WMD. Assigning p a number high enough to make it likely is one thing. Arguing that the number is hypothetical but your conclusion still stands is another thing.
Lets assume p = .0005. Now your conclusion of 'very well find' makes no logical sense. In fact you probably won't find. Given the limited number of countries in the world, using .0005 you can probably invade most of them and never find it.

The problem is Brandon is that you created a hypothetical probability designed to support your preordained conclusion.

You are correct in that my discussion pertained to probabilities that are not vanishingly small. Establishing that the probability of finding WMD in Iraq was not vanishingly small, and i don't think it was, would be a separate discussion. My points are both true and significant for probabilities that are not totally negligible.
0 Replies
 
parados
 
  1  
Reply Sat 24 Sep, 2005 01:12 pm
Brandon9000 wrote:
parados wrote:
Let's take it out of the realm of politics.

Some people that swim in the ocean drown.

Hypothetically - lets say you have a 30% chance of drowning.
therefore if you swim in the ocean enough eventually you will drown.


Would you use the hypothetical as a reason to not go swimming?

What I am saying is that the fact that you don't drown the first time you go swimming does not imply that you won't drown the second time, and that the fact that you don't drown the first time does not imply that there wasn't a very real chance of drowning. The reasoning, "I went swimming once, and I didn't drown. Therefore, there is no danger," is false. Go ahead, make me post this a thousand times. It will change nothing.


The ONLY reason there was a good chance of drowning is because I picked a hypothetical number that made it a good chance. If the REAL chance of drowning is one in 10 million then there was no real danger in swimming was there.

The hypothetical was picked to specifically make it seem dangerous. But without real numbers to back it up, it has no basis. The same problem with your argument about Iraq. The basis is suspect.
0 Replies
 
parados
 
  1  
Reply Sat 24 Sep, 2005 01:19 pm
To continue the swimming analogy

You are told that you are likely to drown because of the several things, the temperature of the water is too cold, the currents are deadly, the waves are 10' high. Now someone else that has actually been to that part of the ocean says that the 3 things above aren't true.

If you go swimming there and don't drown and find out the water is a pleasant 80 degrees, calm and no waves does that still mean the probability was 30% of drowning like the first person claimed?

We had conflicting reports about what Saddam may or may not have had. Probabilities are not made based on only the worst case scenarios. There were many reputable reports that disputed claims of Saddam having WMD.
0 Replies
 
Brandon9000
 
  1  
Reply Sat 24 Sep, 2005 02:17 pm
parados wrote:
To continue the swimming analogy

You are told that you are likely to drown because of the several things, the temperature of the water is too cold, the currents are deadly, the waves are 10' high. Now someone else that has actually been to that part of the ocean says that the 3 things above aren't true.

If you go swimming there and don't drown and find out the water is a pleasant 80 degrees, calm and no waves does that still mean the probability was 30% of drowning like the first person claimed?

We had conflicting reports about what Saddam may or may not have had. Probabilities are not made based on only the worst case scenarios. There were many reputable reports that disputed claims of Saddam having WMD.

I think you mean still having. What he had is in the public domain. As to the size of the probability, it seems to me that just the basic facts of the situation, quite apart from what Bush said about it, or any specific piece of evidence being doscredited, will give a probability that is not negligible.

No, I can't prove it. This is a plausibilty argument. But, because Hussein was an evil dictator who had had chemical WMD, biological WMD, and a program to create nuclear WMD, and who, after being forced to promise to destroy them had spent years hiding them and lying about it, and now was saying, "Yes, they're all gone, but I didn't bother to create convincing proof," it would not be reasonable to conclude that the probability he was still lying was negligible.
0 Replies
 
parados
 
  1  
Reply Sat 24 Sep, 2005 02:27 pm
But was the probability high enough to warrant invading? I don't see evidence it was.

I didn't see it then and I still don't see it now.

Rather a picky point to argue "still having" vs "having." In either case he would HAVE. There is very little of what he did HAVE in 1991 that was not recorded destroyed. Not nearly enough to make an invasion worth it. "Still having" was LESS LIKELY than "having" based on the evidence. He would have to have produced AFTER he was ordered not to have anything of consequence.
0 Replies
 
Brandon9000
 
  1  
Reply Sat 24 Sep, 2005 02:35 pm
parados wrote:
But was the probability high enough to warrant invading? I don't see evidence it was.

I didn't see it then and I still don't see it now.

Rather a picky point to argue "still having" vs "having." In either case he would HAVE. There is very little of what he did HAVE in 1991 that was not recorded destroyed. Not nearly enough to make an invasion worth it. "Still having" was LESS LIKELY than "having" based on the evidence. He would have to have produced AFTER he was ordered not to have anything of consequence.

What, in your view, would be the impact to the US of a WMD destroying New York, London, or Madrid? Let's even pick a lesser target, say Las Vegas.
0 Replies
 
parados
 
  1  
Reply Sat 24 Sep, 2005 02:47 pm
Brandon9000 wrote:
parados wrote:
But was the probability high enough to warrant invading? I don't see evidence it was.

I didn't see it then and I still don't see it now.

Rather a picky point to argue "still having" vs "having." In either case he would HAVE. There is very little of what he did HAVE in 1991 that was not recorded destroyed. Not nearly enough to make an invasion worth it. "Still having" was LESS LIKELY than "having" based on the evidence. He would have to have produced AFTER he was ordered not to have anything of consequence.

What, in your view, would be the impact to the US of a WMD destroying New York, London, or Madrid? Let's even pick a lesser target, say Las Vegas.


Iraq didn't have nukes or the capability. Pretty obvious before the invasion. Nice scare tactic that doesn't have anything to do with what Saddam had or probably had before we invaded. Saddam didn't have the nuclear material, Saddam didn't have the capacity to refine it, Saddam didn't have the technology to make a device.

North Korea DOES have the capability and very probably the nukes and did have them in 2002. What is your view? That we need to be more concerned with LESS LIKELY probabilities?
0 Replies
 
Brandon9000
 
  1  
Reply Sat 24 Sep, 2005 03:10 pm
parados wrote:
Brandon9000 wrote:
parados wrote:
But was the probability high enough to warrant invading? I don't see evidence it was.

I didn't see it then and I still don't see it now.

Rather a picky point to argue "still having" vs "having." In either case he would HAVE. There is very little of what he did HAVE in 1991 that was not recorded destroyed. Not nearly enough to make an invasion worth it. "Still having" was LESS LIKELY than "having" based on the evidence. He would have to have produced AFTER he was ordered not to have anything of consequence.

What, in your view, would be the impact to the US of a WMD destroying New York, London, or Madrid? Let's even pick a lesser target, say Las Vegas.


Iraq didn't have nukes or the capability. Pretty obvious before the invasion. Nice scare tactic that doesn't have anything to do with what Saddam had or probably had before we invaded. Saddam didn't have the nuclear material, Saddam didn't have the capacity to refine it, Saddam didn't have the technology to make a device.

North Korea DOES have the capability and very probably the nukes and did have them in 2002. What is your view? That we need to be more concerned with LESS LIKELY probabilities?

I will answer your question if you answer mine.
0 Replies
 
Frank Apisa
 
  1  
Reply Sat 24 Sep, 2005 03:38 pm
Brandon9000 wrote:
Frank Apisa wrote:
ebrown_p wrote:
Frank,

If you agree with Brandon's statement about the fair coin, then we can be done with the Mathematics of your argument.

Arguing about the what the argument is isn't any fun.


I have no problem with the fair coin...but if you read his statement...you will see that it has no impact on the probability fallacy in his original statement...nor in the logic which he applies.

The fair coin argument is truly a red herring. He might just as well have offered that 2 + 2 = 4 as an argument that his original statement...and the way he is applying it...is correct.

Tossing a coin, and looking for WMD in Iraq are similar in the one sense that in both cases there is some probability of success and some of failure, as a result of incomplete knowledge of the facts. That is the only similarity I was using.


Well...I read it differently...and to be honest, I still see it differently.

Your original post indicated something not indicated in the coin toss thing.

Look at your original post...the material I originally to to task:

Quote:
As usual, you misunderstand. The theory is that if the general category of rogue states which have WMD programs are not treated seriously, then eventually a WMD will be used, at least for blackmail. If WMD were no longer in Iraq by the time we invaded, then the next time we have the same situation, or the next, the WMD will still be there. That's what it means to talk about a probability. Even one such device used in a population center could exterminate a half million people. It would be one thing if you folks quoted my position accurately and then argued with it, but you almost always quote it inaccurately.


At best, you can argue that you left an erroneous impression with your wording.

Specifically...the words:

Quote:
If WMD were no longer in Iraq by the time we invaded, then the next time we have the same situation, or the next, the WMD will still be there. That's what it means to talk about a probability.


How on earth can you justify the qualifier "If WMD were no longer in Iraq by the time we invaded...in light of what you say you were attempting to communicate?

I understand the tie that might exist with the notion that all rogue nations have to be challenged....but to qualify "the next time we have the same situation, or the next, the WMD will still be there" with that "If..." simply makes the commentary seem what I said it was....illogical and a misuse of probability.

But...I am not a physicist....and although I have credits in the three branches of probability...that was 45 years ago...and my brain cells have been going through hell because of my constant partying....

...so, I guess you prevail.

I sticking around...and may comment further...but I am interested in what others have to say on this point.

I also want to acknowledge that since you are using this as part of an argument attempting to justify George Bush's invasion of Iraq...I have certain prejudices influencing me against it.
0 Replies
 
parados
 
  1  
Reply Sat 24 Sep, 2005 03:52 pm
Brandon9000 wrote:
parados wrote:
Brandon9000 wrote:
parados wrote:
But was the probability high enough to warrant invading? I don't see evidence it was.

I didn't see it then and I still don't see it now.

Rather a picky point to argue "still having" vs "having." In either case he would HAVE. There is very little of what he did HAVE in 1991 that was not recorded destroyed. Not nearly enough to make an invasion worth it. "Still having" was LESS LIKELY than "having" based on the evidence. He would have to have produced AFTER he was ordered not to have anything of consequence.

What, in your view, would be the impact to the US of a WMD destroying New York, London, or Madrid? Let's even pick a lesser target, say Las Vegas.


Iraq didn't have nukes or the capability. Pretty obvious before the invasion. Nice scare tactic that doesn't have anything to do with what Saddam had or probably had before we invaded. Saddam didn't have the nuclear material, Saddam didn't have the capacity to refine it, Saddam didn't have the technology to make a device.

North Korea DOES have the capability and very probably the nukes and did have them in 2002. What is your view? That we need to be more concerned with LESS LIKELY probabilities?

I will answer your question if you answer mine.


A lot of variables to respond to your question. Who and why are the first. It would at least have a short term economic effect. There would be a desire to get the perpetrators. We would see the same response as to 9/11. The world would pretty much be reviled by the act and support any action against those responsible. On the human side, we are pretty much seeing the effects of a million people displaced with Katrina. We saw a similar reaction to the tsunami. A strong movement to help those affected.

In a discussion about Iraq your question is a non sequitor. Iraq didn't have the capability. Bringing it up is a scare tactic. It really has nothing to do with likely probabilities.
0 Replies
 
Brandon9000
 
  1  
Reply Sat 24 Sep, 2005 04:42 pm
First of all, to get it out of the way, we can't invade NK because they have the bomb and could kill a million people during the first hour of our invasion. It's simply too late with North Korea. We invaded Iraq to keep Hussein from achieving this level of near-invulnerability.

Now about the probabilities - Once, long ago, only the US could make nukes, and then only the US and Russia, and then handful of counrtries, but the nuclear club is growing. As technology advances in general in the world, the ability to create nukes comes within the reach of smaller and less sophiticaled entities. The same is true for biologal and chemical weapons. It's similar to the way you used to have a lot of money to buy a comparativly weak PC, but now many people can afford one that's much more powerful. As time passes, we can expect to see more and less sophisticated entities able to create WMD. Some few of them will be countries we deem very dangerous, like Iraq under Hussein.

What we are dealing with here, is a low probability of an event with immensely negative consequences. What is the appropriate level of concern for a low probability of a Hiroshima in the US? Consider a future undesrable event, X, that you might be able to stop with enough effort. For definiteness, let's choose the destruction of San Diego and half of the people living in it. This is an abstract thought experiment. If the probability of event X is .05, how much effort would it be worth to stop it? My argument would be that a 5% chance of the destruction of San Diego would be extraordinarily serious, and it would be worth even very desperate measures to stop it.

As various evil dictatorships try to develop WMD over the coming years, each will present some likelihood of a WMD use in a major city over the next, say 10 years. These probabilities will be impossible to know exactly, but we will be able to get some impression of their size. My argument would be that if some dictatorship presents a 2% chance of using a WMD in a population center in the next 10 years, it is worth even very desperate measures to stop it. We simply cannot sit by and hope for the best, or rely on ineffective measures with even a low probability of a doomsday event like this.
0 Replies
 
Frank Apisa
 
  1  
Reply Sat 24 Sep, 2005 04:49 pm
Seeing the problem...

...and coming up with an effective solution are two different things.

You do see the problem.
0 Replies
 
parados
 
  1  
Reply Sat 24 Sep, 2005 04:56 pm
Brandon9000 wrote:
First of all, to get it out of the way, we can't invade NK because they have the bomb and could kill a million people during the first hour of our invasion. It's simply too late with North Korea. We invaded Iraq to keep Hussein from achieving this level of near-invulnerability.

Now about the probabilities - Once, long ago, only the US could make nukes, and then only the US and Russia, and then handful of counrtries, but the nuclear club is growing. As technology advances in general in the world, the ability to create nukes comes within the reach of smaller and less sophiticaled entities. The same is true for biologal and chemical weapons. It's similar to the way you used to have a lot of money to buy a comparativly weak PC, but now many people can afford one that's much more powerful. As time passes, we can expect to see more and less sophisticated entities able to create WMD. Some few of them will be countries we deem very dangerous, like Iraq under Hussein.

What we are dealing with here, is a low probability of an event with immensely negative consequences. What is the appropriate level of concern for a low probability of a Hiroshima in the US? Consider a future undesrable event, X, that you might be able to stop with enough effort. For definiteness, let's choose the destruction of San Diego and half of the people living in it. This is an abstract thought experiment. If the probability of event X is .05, how much effort would it be worth to stop it? My argument would be that a 5% chance of the destruction of San Diego would be extraordinarily serious, and it would be worth even very desperate measures to stop it.

As various evil dictatorships try to develop WMD over the coming years, each will present some likelihood of a WMD use in a major city over the next, say 10 years. These probabilities will be impossible to know exactly, but we will be able to get some impression of their size. My argument would be that if some dictatorship presents a 2% chance of using a WMD in a population center in the next 10 years, it is worth even very desperate measures to stop it. We simply cannot sit by and hope for the best, or rely on ineffective measures with even a low probability of a doomsday event like this.


So then a 30% chance of the increase in atmospheric CO2 raising the sea levels and destroying NY, San Diego and several other large cities should evoke a drastic response today rather than sitting by and hoping for the best?

Sorry Brandon but your solutions are selective based on little but a fear. Germany could elect a chanceller that decides to exterminate the Jews. Vietnam could be the domino that causes all of Asia to become communist. There is a HUGE difference between having ongoing inspections and "sitting by and hoping for the best. Too bad you don't see the differences.
0 Replies
 
Brandon9000
 
  1  
Reply Sat 24 Sep, 2005 06:17 pm
parados wrote:

So then a 30% chance of the increase in atmospheric CO2 raising the sea levels and destroying NY, San Diego and several other large cities should evoke a drastic response today rather than sitting by and hoping for the best?

What's the time scale for the destruction you speak of? I'm not exactly familiar with this topic, but let's taka a hypothetical with definite numbers to be able to speak about it. If there were 30% chance that within 100 years, forces currently in operation would result in "the increase in atmospheric CO2 raising the sea levels and destroying NY, San Diego and several other large cities," then it would be very serious. One thing to bear in mind, though, is that unlike the use of a WMD, events of this type do not happen so quickly that the people can't move out. So you are talking about a very serious consequence, but maybe not so many deaths. Still, even without the deaths, if the probability and time scale were as specified, it would warrant very serious actions to stop it.

parados wrote:
Sorry Brandon but your solutions are selective based on little but a fear. Germany could elect a chanceller that decides to exterminate the Jews. Vietnam could be the domino that causes all of Asia to become communist. There is a HUGE difference between having ongoing inspections and "sitting by and hoping for the best. Too bad you don't see the differences.

There is a problem with your examples. Let's take this one:

"Germany could elect a chanceller that decides to exterminate the Jews."

There is no particular reason to believe that this is going to happen, so the probability is probably very, very low. On the other hand, if a particularly odious dictatorship has had a wide variety of WMD, and WMD programs, and now has hidden and lied about dismantling them for a dozen years, there would seem to be some reasonable probability that they are still lying but just hiding the stuff better.

So you are comparing a very tiny probability to one that is probably not negligible.
0 Replies
 
Brandon9000
 
  1  
Reply Sat 24 Sep, 2005 06:22 pm
parados wrote:

A lot of variables to respond to your question. Who and why are the first. It would at least have a short term economic effect. There would be a desire to get the perpetrators. We would see the same response as to 9/11. The world would pretty much be reviled by the act and support any action against those responsible. On the human side, we are pretty much seeing the effects of a million people displaced with Katrina. We saw a similar reaction to the tsunami. A strong movement to help those affected.

Let's say a nuke went off in downtown Las Vegas, it seems to me there would be problems with bodies lying dead in the streets and rotting far enough from the fireball that they weren't vaporized (animals too), people some miles away being severely injured but not killed, industries destroyed, and thousands of doctors being siphoned out of the rest of the country into Las Vegas creating a shortage elsewhere. It doesn't seem like you've described the full impact.
0 Replies
 
DrewDad
 
  1  
Reply Sat 24 Sep, 2005 09:58 pm
Let's not forget invading a country on little more than the whim of the president in order to provide deficit spending that bolsters the economy.
0 Replies
 
Brandon9000
 
  1  
Reply Sat 24 Sep, 2005 10:13 pm
DrewDad wrote:
Let's not forget invading a country on little more than the whim of the president in order to provide deficit spending that bolsters the economy.

Evidence of this? Anyway, our discussion is hypothetical.
0 Replies
 
 

 
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