Archive for the ‘logic’ Category.

Argument From Final Consequences

Today's logic fallacy comes to us courtesy of Rush Limbaugh. The Argument From Final Consequences is when someone attempt to prove that whoever benefited from something must have caused it. Not long after the terrorists attacks of 9-11-2001 several conspiracy theorists noticed that many of the civilian contracts in Iraq and Afghanistan were going to Haliburton. Dick Cheney had financial interest in this company. Therefore, without any other evidence the conspiracy theorists concluded that Dick Cheney caused the attacks on the World Trade Center. It's ridiculous.
Now sure it may look suspicious if a man dies a few days after his wife takes out a larger life insurance policy. And that is definitely a red flag that should be investigated. But the timing of the benefit alone is not enough to prove anything.
Well today Rush Limbaugh is claiming that extremist environmentalists blew up the BP drilling rig in order to affect the upcoming vote on energy policy. Sure the timing is suspicious and if there is any evidence supporting it it should be seriously looked into. But the timing alone is not proof.
The logic is fallacious when it's left wing conspiracy theorists attacking Cheney. It's just as fallacious when it's Limbaugh attacking environmentalists.

The Line Drawing Fallacy

Take a second and look at these four pictures:
image1 image2 image3 image4
For those of you who aren’t familiar with the cars here, there is a Volkswagen Thing and a Jeep. The question now is “Which is which?” The one that looks like a jacked up thing actually is 4-wheel drive and has the motor in the front and the one that looks like the Jeep has the motor in the rear.
These pictures reminded me of a logical fallacy called the Line Drawing Fallacy. I’m going to modify it from the way I first heard it in order to fit these pictures. Let’s suppose that I have two cars in the garage. A Volkswagen on the right and a Jeep on the left. One day I decide it would be fun to start swapping parts form one car and sticking them on the other. I start with a bumper. Then I move to fenders. Then on to the to more serious stuff, the suspension, the wheels, drive train, frame and on and on. When I’m finished I will have a complete Jeep on the right and a complete Volkswagen on the left. Now for the big question. At what point in the process did the Jeep become the VW and the VW become the Jeep? Was it when they swapped the frame? The motor? The hood emblem? So far there isn’t a logical fallacy, just a philosophical conundrum. But what if I challenged the identity of the cars like this? Since you can’t exactly answer when the VW became the Jeep then the car on the right must still be the VW even though it now has every single part of the original Jeep.
It kind of sounds absurd when you are talking about cars. Nevertheless, people make this fallacy of reason frequently. I hear it frequently in the debate about the definition of life. Some argue that since you can’t really define when a person became alive then we must have always been alive. The most egregious abuse of this concept came years ago during the trial of the officers who assaulted Rodney King. An attorney asked the question, “At what point did the officers use excessive force? Was it after the first hit, the second, the third?” He then went on to tell the jury that if they couldn’t define exactly when it became excessive then they couldn’t accurately define what excessive force meant and the officer was not guilty. The other attorney, recognizing the fallacy, approached the jury and took a book and slammed it against the table the exact number of times that King was hit. I think it was 23 times. He then said, “I don’t care exactly when their actions became excessive. It was somewhere between the first hit and the 23rd.” And that’s the correct answer here too. There are multiple shades of gray in our world. But that doesn’t mean that black is the same as white or that Jeeps are the same as VWs.

More on Logical Fallacies: Begging the Question

A few weeks ago I witnessed a wonderful demonstration of this logical fallacy at our weekly Boy Scout troop meeting. Our Senior Patrol Leader wanted to remind the older scouts about the importance of wearing our uniforms. It was also a good opportunity to inform the newer scouts how we do things. So at the end of the meeting he asked the entire group of boys and the adults as well, “When do we wear our class-A scout uniform?” I was very proud of him for taking the time to do a little educating and reinforming. But I share his frustration over what came next.
One after the other the boys and even a few adults started giving the vaguest answers possible.
“We are to wear our class-A uniform whenever you tell it is appropriate.”
“Wear it unless our leadership tells us it is inappropriate.”
“ The uniform is to be worn according to local troop policy.”
All of these answers are technically correct but can you see the frustration our Senior Patrol Leader must have faced? It’s as if each person was so worried about getting the answer wrong that they didn’t provide any information at all. They just restated the question in fancier language. None of the responses actually provided an answer. The question started with the word “when” and none of the responses gave a specific time or event. This is the logical fallacy know as begging the question. If the question itself is the only source you have for your response you are likely just begging the question.
Another quick example:
“How do we know if psychics can talk to dead people?”
“Because they are psychic.”

Finally the patrol leader restated the question in such a way that didn’t allow for any non-answer responses, “Give several specific examples of times when, according to troop policy and what our leaders have told us, we should be wearing our full class-A uniform”. At last he got some responses that actually educated the newer boys and reminded the older boys. “At all Troop meetings and Courts of Honor.” “While travelling to and from any campout.” “At evening assemblies during summer camp.” etc.

On a side note: Most people misuse the phrase begging the question. Rather than use it in the context I’ve just described they use it as if it is synonymous with “brings up the question” . If my daughter says “Noah won’t let me play with the snake.” That brings up a bunch of questions but it doesn’t beg any.

Appeal to Anti-Authority

If you’ve been following my blog for more than a few posts you’ll know that periodically I like to talk about logical fallacies. I just think it’s helpful to recognize the flaws in our thinking and make sure that we understand why the logic is incorrect and how to recognize it.
A commonly used logical fallacy is the appeal to authority. Just because somebody with authority in one field voices his opinion in a field outside his expertise does not make him an authority in that field. I’ve grown quite weary of the numerous Albert Einstein quotes being used to support things besides physics. His opinions on politics and religion hold no more weight than yours or mine. His opinions on physics however, are within his expertise and hold a little more weight. But even then there should be evidence to back up his claims and not just a pronouncement by a famous scientist.
What has me upset lately is that I see that many people are embracing an odd variation of this fallacy. I’ll call it “appeal to anti-authority”. In its simplest form the more credible somebody’s authority and evidence the more likely they are to be wrong. And the converse is also true. The more humble somebody’s experience the more likely they are to be right. Take this ad as an example. The advertiser is asking us to not trust our dentist, the real authority, and instead trust a single mom’s procedure to whiten teeth.
I just don’t know how to even respond to this twisted anti-logic. Should I now avoid going to my local garage when I have car trouble? Perhaps I should seek out somebody who explicitly has not had any training in Toyota Tundras to fix my check engine light. Yet this is exactly what many people do and it really scares me. Rather than trusting thousands of immunologists and getting vaccinated they are trusting the anecdotes of actors and putting kids at risk of catching serious diseases. Rather than trusting the evidence presented by thousands of climatologists they choose to believe the talking heads, most of whom don’t even have degrees in journalism let alone anything that grants then any authority on scientific matters.
I saw a series of books the other day at the library. The all started with the line “The Politically Incorrect Guide to…” I find it very sad that more and more Americans are accepting something being politically incorrect as proof that it is true. Something being politically accepted or politically incorrect is irrelevant to the truthfulness of the claim. What does the evidence say? I don’t care who believes the claim or who is offended by it.

“...the fact that some geniuses were laughed at does not imply that all who are laughed at are geniuses. They laughed at Columbus, they laughed at Fulton, they laughed at the Wright brothers. But they also laughed at Bozo the Clown. “
Carl Sagan

Random v Inappropriate

My kids, particularly the oldest two, have developed this annoying habit of saying something completely unrelated to the conversation that everybody else is having and then when they get funny looks just saying, “What? I’m just being random.” For instance during the middle of a conversation on where to eat one of them will just start singing a song that has nothing to do with food. “What? I’m just being random.”
Well yesterday I’d had enough. I don’t remember what we were talking about but we were trying to figure something out. It was probably about trying to co-ordinate our schedules. Well one of the kids pulled this act again and started talking about something completely off topic. And, you guessed it, I got the same response about just being random. So I went on a diatribe something like this.
“No, you are not being random. You are being inappropriate. A six-sided die is random. Occasionally, when you are looking for a six you will get a six. And when you are looking for a one occasionally you will get a one. If your outbursts are truly random then every now and then they should be on topic and still be classified as random. Since none of your outbursts that you label as random are ever on topic the conclusion seems to be that you are trying to be off-topic. Since you’re trying to be off-topic you aren’t being random. You are just being inappropriate. And I don’t appreciate it.”
At this point Victoria was laughing hysterically and told me that I had to blog this before I forgot about it. My only regret was that one of the prime offenders was not in the car and I’ll likely have to give this speech again soon.

Argument From Ignorance

DragonCon with Aaron

Last Saturday, Aaron and I went down to DragonCon. It’s a science-fiction, fantasy and pop culture convention. As I grow older I don’t enjoy crowds nearly as much as I used to. So I have avoided these types of scenes for quite sometime. (I’ve been more claustrophobic at a movie theater than I’ve ever been in a cave.) However, a few years ago I got involved with an online community of skeptics, critical thinkers and rationalists. Piggybacked with all the actor autograph sessions, how to make cool costume classes and Dungeons and Dragons game sessions they a have a science and skepticism track too. This is only the second year for it and I wanted to get a chance to meet and talk with some of the folks I’ve been emailing, blog commenting, facebooking, listen to their podcasts and otherwise internet stalking for the last several years. So I braved the crowds and the chaos and Aaron and I went down.

I could only manage to squeeze in one day of the lectures so we were running back and forth to make sure that we saw the ones I wanted but I also had to make sure that Aaron didn’t feel like I was forcing him to sit through something he felt was boring. So I had to throw in several hours of shopping for costumes and looking at mangas and comic books. That was actually very fun too, but I was pleasantly surprised that Aaron had such a good time hanging out with me at the skeptical events and lectures.

The first lecture that we attended was Seth Shostak from the SETI institute. I’ve been listening to his podcast, Are We Alone for a few years. I’ve seen him on Colbert Report and so I knew that he’d be entertaining. Seth did a great job of explaining the “real” search for aliens and really showed that science and reality can but just if not even more interesting than the science fiction being show in neighboring rooms of the same hotel.

Next we saw Richard Saunders do a great little presentation targeted at teaching kids how to be critical thinkers. They did a live dowsing experiment and Aaron actually got to participate. I was very impressed with the relatively simple way that they showed the importance of making sure that any tests and experiments are blinded. Then they showed the added layer of making the test double blind. Saunders did a great job of making skepticism seem fun. All too often skeptics get portrayed as being cynics. Saunders and everybody else did a great job of debunking that notion.

Between lectures I was able to talk to the folks at the Skeptics Guide to the Universe. I would have loved to have stayed through Sunday to have seen their live taping of their podcast but I just couldn’t fit it into my already hectic schedule. I thanked them for saving me from talk radio. I like listening to news and information rather than just listing to music while I work and years ago their podcast was one of the first that I found to fill the void after I started boycotting the noise, illogic and repetition coming from talk radio.

The last lecture before we heeded home was a panel discussion With Seth Shostak, Joe Nichol, and Phil Plait that was moderated by Pamela Gay. Each panelist talked for about ten minutes about their own area of expertise and then opened the floor for questions. The questions were the most enjoyable part of the discussion. A few folks from the regular DragonCon crowd had wandered in and I’m not sure it was exactly what they expected. The phrase “alien hunter” was in the lecture description. All the members of the panel did a great job of explaining that it’s not that we don’t believe, belief has nothing to do with it. We just haven’t seen enough evidence to convince us that flying saucers are real.

Shostak made the comparison of aliens visiting Earth to Spaniards visiting America. 50 years after the Columbus everybody in America had mounds of evidence that Spaniards were here. It’s been 50 years since the first flying saucer and alien abduction stories jumping into the culture. Why don’t we have a comparable body of evidence? I thought the analogy was perfect and actually rather funny.

I knew that I would enjoy the skeptic events, but I was again, really surprised how much Aaron enjoyed them. Victoria and I have always been science geeks. We hardly watch any TV and the shows the kids really like are educational stuff on PBS. We check out Nova videos from the library. Even the few fiction series that we watch have a high level of science and rationality to them. I guess I shouldn’t have been too surprised that Aaron would enjoy it. After all he’s been hanging out with me for the last 15 years. I guess I just didn’t realize that so much was rubbing off.

Shifted Burden of Proof

I’ve been having a little struggle at work. A local government is insisting that there’s a piece of equipment in a ditch that belongs to us that we need to move. Well we are not in the business of placing this particular type of equipment and so I politely told her that it was not ours. To which she responded, “Well somebody must have put it there!” I agree 100%. Somebody must have put it there. I gave her a few suggestions as to who else may have done it but she wouldn’t let it drop so easily. She didn’t seem to want to hang up until I solved her problem for her. I was as polite as possible but just ended up telling her that I had no idea whose it was but it wasn’t ours.
I’m not sure what you’d call it, a logical fallacy, a debating tactic or just a rhetorical device. But what she was attempting to do is to shift the burden of proof. I see this technique used all the time. You see in any discussion the burden of proof lies with the person who has the most extreme claim. For instance if I claim that grass is green and you were to claim that grass is really blue but there is a yellow haze that always hovers directly between the viewer and the grass that just makes it appear green, your claim is clearly the more extreme. Your claim may in fact be correct, but it just requires more proof than my claim. If I challenged your claim you couldn’t counter by just asking me to prove that the yellow haze doesn’t exist. That would be shifting the burden of proof. In my real life situation it shouldn’t be my job to prove that the equipment isn’t ours. That burden still lies with this government organization to prove that it is ours. It’s almost as if I was presumed guilty until I could prove my innocence.
My situation at work is a minor issue and I don’t expect it to go any further, but I see the same tactics invoked in political discussions all the time. One side will come up with an extremely farfetched scenario and expect the other side to take the Herculean task of proving that their opponent is wrong. But the burden should remain with the person making the extreme claim not the accused.
A key example of this is the whole “birthers” phenomenon. These people have found a few inconsistencies with Obama’s early life history and from that have deduced that there is a conspiracy involving all levels of government, doctors and two local newspapers to conceal his birth location all the way back to the day he was born. They would also have us believe that even Hillary Clinton knows these details but didn’t bring them up during the primaries even though it would mean that she would have had a much better shot at the Presidency with him discredited and out of the way. It is my opinion taht the “birthers” and those that believe this idea are trying to shift the burden of proof. They want the President to go out of the way to deny and prove that their claims are false. Nope. That’s not how it works. They have the more extreme claim. It is up to them to make their case and present their evidence.
Now I didn’t vote for Obama and I’m not particularly enamored with some of his policies so far. But if anybody wants me to believe that he was born in Kenya it’s their job to prove it to me. Before you ask, yes, UI have seen the DVD "A question of Eligibility" and I see nothing in there strong enough to counter the evidnece that he was born in Hawaii, but all that is irrelavent. It’s not Obama’s job to disprove your conspiracy theory. And likewise if this local government official wants me to remove this equipment from the ditch it’s up to them to prove to me that it is ours. It’s not my job to prove it isn’t ours.

More on Confirmation Bias

For a few months I’ve been doing my best to lose a little bit of weight. I’ve basically just been eating smaller potions and walking on my lunch hours. The biggest motivator that I have is that my new office has a small workout room with a scale. I’ve made it a habit of starting the day off by checking my weight and recording it. In order to make sure that my results are meaningful I always measure under the same conditions. It’s always dressed for work at 6:45am and having only had a small breakfast. I even make sure that I don’t have my phone or any change in my pockets to be sure that the results aren’t artificially skewed.

Tuesday I had something to do after work and I didn’t want to show up in my AT&T uniform so I wore a nicer shirt and some different shoes. As I walked to the scale I realized that the results may not be accurate. I didn’t know if my outfit was heavier or lighter than what I usually wear. Just before I stepped on the scale I recognized that I was about to fall victim to my own confirmation bias. If the scale had read a little lighter than the day before I was ready to accept that as evidence of my diet and exercise was working. However, I was also fully ready to accept that if I was a little heavier that it was not my fault, it’s the differences in my wardrobe. As soon as I realized this I refused to step on the scale.

I bring this up again because lately I’ve seen far too many examples of people accepting information that supports their opinions and then wholesale rejecting any evidence that goes against it. Comments on blogs that accuse the blogger of a political bias while ignoring posts on the same blog that are highly critical of the same party. Family members who accept that a quack treatment works based on one example while ignoring the multiple times the same treatment did not make them feel better. Church friends using archaeological evidence to support their belief in the Book of Mormon but refusing to even read counter evidence.

It’s natural to cling to what makes us comfortable. Unfortunately it may not be the best thing to do. You’re not going to get accurate results if you can’t accept all of the evidence. If that’s the attitude that you have when you approach an issue just do as I did. Don’t even step on the scale. Same holds true on any other issue. Be aware of your biases and do your best to make sure they don’t influence your decisions.

Gambler’s Fallacy.

After reading the Drunkard’s Walk I became even more aware of some of the logical fallacies that people use to support their beliefs and opinions. Last weekend I had a conversation with a few friends and I was surprised that three of them were all guilty of the gambler’s fallacy. The gambler’s fallacy is the belief that after a string of one type of result you become “due” for the other. It’s called the gambler’s fallacy because many believe that after a string of bad luck the odds start have to tip in their favor soon. In reality the previous events are completely independent of the next event. If I flip a coin the odds that it will be head is 1 chance in 2. Now suppose I have flipped 5 heads in a row already, does the coin know somehow “know” that it’s supposed to not be 1 in chance in 2 of falling heads but somehow it will be less likely? This is the most basic example, but I’ve heard highly educated people who should otherwise have a firmer grasp of statistics than the average gambler still make this same error in logic. Sometimes its with a sports player who hasn’t been performing as well as he should. Fans believe that he should be coming “due” for some good luck.
The conversation over the weekend focused around hurricanes. Many of us had gone to Florida and the gulf to help rebuild after the 2004 and 2005 seasons. They expressed the feeling that since the last few years showed less than average hurricane activity that we were “due” for a bad season. Just like the coin has no record of how the previous coin flips turned out the weather doesn’t keep track of the previous year’s hurricane counts. Now I support their position that we should be prepared to go down and assist again if those folks should need it. I just don’t agree with the logic that they used to get to that conclusion.