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Donald E. Hester

We Need a Conspiracy Probability Theorem

by Donald E. Hester
Donald E. Hester
Husband, father, and adventurer. A computer science instructor who dabbles in t
User is currently offline
on Tuesday, 31 January 2012
Philosophy 0 Comments

New Orleans

I remember a few years back when a friend at work would passionately support the idea that there was a conspiracy behind the events of September 11. Even though I thought he was off-his-rocker, we had a number of impassioned conversations about the subject. The flaw I saw in his logic was the number of people needed to pull off such a stunt. It seemed to me at the time, and still does, that given the number of people needed to ‘cover-up’ this event, it is highly unlikely. I mean there was talk that workers came into the building and weakened the structure before the event and that the true planes were diverted to another airport and that the people are alive and living in secrecy.

I wish someone would come up with a formula or theorem for calculating the probability of a given conspiracy theory that takes into account the number of people required to keep a ‘conspiracy’ secret and the probability that someone would leak the information.

One of the allures of a conspiracy is that the lack of evidence becomes evidence for a cover-up. The problem is the lack of evidence is not evidence for anything, let alone a cover-up. The issue here is a good example of a prior bias. In other words, conspiracy supporters come in predisposed to believing there is a conspiracy and they see the lack of evidence as evidence for a cover-up. Those who tend to be more skeptical will, of course, come in with a bias of disbelief.

Some people will seemingly hold to the conspiracy no matter what evidence is presented to them. It may make sense to hold a position when there is no supporting evidence however, there is no logical reason to hold a position when there is evidence to the contrary, or the evidence to the contrary outweighs the evidence for.

In the same way, the skeptic needs only have one piece of evidence that there is no good answer to in order to reject the conspiracy. As Greg Kokul once said, “Just because it is possible to be mistaken about something that seems obvious doesn’t mean it’s reasonable to think we are. This is the skeptic’s error.”

If a conspiracy is true; and I believe there must be some that are; then what evidence will help us determine the validity of such claims. I think one way is to look at the probability. One thing to consider is the number of people involved in the cover-up. As the number involved in the cover-up grows, the likelihood that they will be able to keep it under wraps decreases. Another thing to consider is the resources need to pull off the conspiracy. This is why you often hear that some group of ultra-rich people is calling the shots. In order for some of these conspiracies to be true, you would have to have considerable resources. Who else but an ultra-rich and elite group would have such resources?

Assuming we have someone or some organization with the required resources, we still need to have a motive. Why did they want Kennedy dead? Why do they want to cover-up the UFO crash in Roswell? Why did they take down the World Trade Center? Even if someone had a motive, that does not mean they did it. Assuming they had a motive and opportunity (resources), it does not follow that they did whatever the conspiracy theory states. We still need some other type of evidence tying them to the act.

Assuming we can demonstrate the means, motive, and opportunity of a group of conspirators, can we show any other evidence of said conspiracy? We have to look at the conspiracy as a whole and try to determine the probability of such an event. At least, at this point, our belief, while not necessarily true, will at least be rational.

Bayesian Cognitive Science research is looking into questions like how much evidence to the contrary is needed for someone to move from their initial position to an opposing position. I think this research might have some promise on this front. Research has suggested that the brain may employ Bayesian inference, in other words the greater the number of evidences and the strength of those evidences leads to greater degrees of certainty. It seems it makes sense to go overboard on the evidence in order to convince the greatest number of people.

Of course, there is human emotion that brings in the irrational aspect that might just throw the potential conspiracy probability theorem out the door.

Post scriptum

As a side note, after I finished writing this post, I received the latest issue of Philosophia Christi (Vol. 13 Num. 2) and one of the articles caught my eye. Right away, I had to read John W. Montgomery’s article, “How Much Evidence to Justify Religious Conversion? Some Thoughts on Burden and Standard of Proof vis-a-vis Christian Commitment.” Although my post is about the requirement commitment to believe in a conspiracy, John Montgomery’s comments on burden and standard of proof are insightful and appropriate to my point. I have taken a number of his points and consolidated them into my topic of belief in conspiracies.

1. Dr. Montgomery points out then the burden of proof is on the believer to show that their belief is true and not on the unbeliever that the belief is not true. In the same way, I think the burden is on the conspiracy theorist to show the conspiracy is true and not on the skeptic to show the conspiracy is not true.

2. “Proof depends on probability – not on absolute certainty or on mere possibility.”[1] There is a spectrum for the standard of proof from possible to absolute certainty. For a court of law, the standard of proof does not use absolute certainty or mere possibility because absolute proof is impossible to obtain and anything is possible in our Universe. Just because something is possible it does not mean that it is also compelling.

Probability, in a United States court of law, has three levels; beyond reasonable doubt; clear, strong and cogent; and preponderance of evidence.

For the preponderance of evidence, you need only show the evidence for is more compelling than the evidence against. For moral certainty, we need to have no other reasonable explanation.

For conspiracies, it is unwise to ask for absolute proof or to give credence to mere possibilities. Instead, we must determine if we are comfortable with evidence beyond reasonable doubt or simply the preponderance of evidence.

[1] Montgomery, John W. “How Much Evidence to Justify Religious Conversion?” Philosophia Christi Vol. 13 No. 2 (2011): 449-460

Tags: Conspiracy, Probability, Proof, Evidence, Belief, Psychology
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Donald E. Hester

Argumentation I

by Donald E. Hester
Donald E. Hester
Husband, father, and adventurer. A computer science instructor who dabbles in t
User is currently offline
on Friday, 09 January 2009
Blogging 0 Comments

altI have been listening to some debates recently and realized that winning a debate does not make the premise true. The Truth of a statement is independent of how well defenders argue it. I have seen some website comments on some of the debates I have listened to and everyone thinks that their 'guy' won the debate. Truth is truth independent of someone ability to convince you otherwise.

I have been listening to debates because I think it is a great way to hear both sides of a position. It makes it easier for you to conclude for yourself the validity of the premises offered.  I understand that I am finite, that is to say, I have limited knowledge. Frankly, I don't know everything and would consider it arrogant to claim absolute proof. I look at everything as probability based on reason. I don’t think there is anything we can say for certain is 100% true for myself. What I can do is weigh the evidence for various possible premises and make a determination as to which is more likely. As time progresses I may find new facts and am then able to reevaluate the plausibility of a claim to truth.
 
I often hear in debates one opponent to ask the other what it would take them to change their mind. Often they will demand absolute proof, knowing full absolute proof is not forthcoming. If we used that criterion for court cases, we would never have a conviction. In court cases, we can determine an outcome based upon a reasonable evaluation of the evidence.
 
Personally, I don’t have absolute proof that we went to the moon. I have no experiential evidence, meaning I was not there when it happened. Does that mean I don’t think we went to the moon. Absolutely not! I have seen compelling evidence and rely upon eyewitness accounts that were passed on to me by third parties. I don’t have absolute proof. What I do have is faith based on reason.   It is not absolute or a probability of 1 (100%) for me. I might give it a probability of .75. Later I might go to Marshall Space Center and see on display the rockets used. This new evidence might be able to increase the plausibility of the moon landing in my mind then I might increase the probability to .85 and after I see a moon rock in a museum, I might increase it again to .95. I now have a high confidence level that the moon landing really did occur. However, there is still a possibility, even if very remote, that the moon landing did not occur, which given reason is extremely improbable.
 
You see in debates often when people start throwing out highly improbable possibilities as a means to discredit a premise. A person’s ability to creatively come up with possibilities does not disprove or change the probability of the premise in question. These other possibilities need to have a compelling evidence to get a greater probability then the original premise.  I can sit here all day and come up with alternative possible scenarios that can explain some evidence you have for the moon landing.  That doesn't make any of them true or your premise false, it simply means I have an imagination.
 
In summary an argument is weak if the debater has to demand absolute proof or if the debater avoids refuting the evidence and only throws out improbable possibilities. 
 
PS I give the moon landing a very high probability of truth.
Tags: Statistics, Probability, Evaluation, Proof, Evidence, Apologetics, Philosophy
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