Showing posts with label logic. Show all posts
Showing posts with label logic. Show all posts

Tuesday, March 23, 2010

Logic Lesson Of The Day: The False Analogy

Every so often, when you argue with people, you run across one or another logical fallacy. Some logical fallacies, such as the ad hominem attack, are fairly easy to spot. Others may be more difficult.

One type of fallacy that you see often is the false analogy (or weak analogy). This happens when a person tries to make his/her point by comparing one case to another where there is often an important difference in the two cases.

I ran across this today in a report on Matzav.com. A few months ago, a number of female employees filed suit against B&H photo, claiming discrimination because women were barred from certain sales jobs. The story was revived yesterday when three more female employees joined the suit.

I want to stress that I have no idea if the suit has merit or not. I don't work at B&H, nor do I visit there too often.

As you might expect, when a story such as this comes up, there are those who think that it's wrong that B&H can be sued for gender discrimination. They usually make a point about how it's a private business and that they should be able to hire/fire whomever they like.

One poster on Matzav, who goes by the screen name "hesh" made the following point (emphasis mine):

This lawsuit is outragous! What total nonsense! B&H photo is a private company. What if a man would try to get a job in a shaitel store, dress shop, etc… What about a lady teaching 9th grade gemorah class? Use a bissel sechial. This is total MESIRA!

Putting aside his initial outbursts, the point he's trying to make is this: Firms should be allowed to hire/fire whom they want. If the government interferes with that (via laws against discrimination) then they could force a sheitel store to hire a male employee which, in the frum world, would completely destroy the business (as the married women will not shop there).

In other words, Hesh is making an analogy between B&H and a sheitel store (and a dress shop and a boys' yeshiva).

However, the analogy isn't a good one. In fact, it's a pretty bad one. The reason why it's a bad analogy is because there is an important difference between the cases he brings and B&H.

Hesh is probably correct in his statement that forcing a sheitel shop to hire a man would be incorrect. As I pointed out earlier, it would ruin the business as women would not shop at the store anymore. The same can be said for a dress store. Likewise, in many segments of the frum community, the parents would pull their sons out of school if a woman taught gemara.

However, the same cannot be said about B&H. B&H's business will not be harmed by the presence of female salespeople. The vast majority of the people who shop at B&H care about the price, selection, warranty and the company's great reputation as a photographic equipment store. They don't care about the gender of the person behind the counter.

And that's all the difference. The stores in the examples that Hesh provides have a legitimate business need for a specific gender employee. B&H does not have a specific business need for male-only salespeople. And that's why the analogy fails for Hesh's argument.

The Wolf

Tuesday, March 24, 2009

Are You Even Allowed To Question?

Back in my post where I severely disagreed with Rabbi Mizrachi's "proofs," an anonymous* commentator made the following comment:

Wolf,

I've been reading your post and gave it quite a bit of thought. My conclusion is that your arguments don't truly hold up and that challenging such a torah scholar (who has done an immense amount of good) is actually a chillul hashem (given that non-jews read your blog). A chillul hashem is actually the worst thing that a jew can do but i'm sure you knew that..

The commentator makes two statements here about me:

1. My arguments against Rabbi Mizrachi's "proofs" don't hold water.
2. My challenging his "proofs" is a Chillul Hashem, since non-Jews read my blog.

Implicit in his second statement is that one is not even allowed to question the "proofs" Rabbi Mizrachi (or anyone else, I guess) presents. After all, we all know that it is forbidden to make a Chillul HaShem** -- indeed, my anonymous commentator points out (correctly) that making a Chillul HaShem is one of the worst things*** a Jew can do. If pointing out flaws in the proofs is a Chillul HaShem, then it should be fairly simple to logically conclude that one is not allowed to question Rabbi Mizrachi's "proofs."

Of course, as I'm sure you've guessed, I don't agree with that position. I do not think that pointing out bad logic and flawed science is a Chillul HaShem. If someone were to say that Judaism is the "one true religion" because 2+2=5, then how is it a Chillul HaShem to point out that 2 plus 2 does not, in fact, equal five? Likewise, if someone tries to show that the Zohar is divine based on "scientific information" contained therein and the information is, in fact wrong****, then how is it a Chillul HaShem to point it out? On the contrary, I think that it's far closer to a Chillul HaShem to assert that Judaism is true because 2+2=5 when it is clearly demonstrable that it is not so.

We are described in Parshas V'EsChannan as an Am Chacham V'Navon... a wise and knowlegable nation. It makes us look extremely foolish to bring a proof that our religion is divine based on facts that any high-school student knows are false. On that basis, I feel that not only is one allowed to question a bad "proof," but one is *required* to point out its flaws.

The Wolf


* The commentator may or may not be "Champ."

** I'll ignore the fact that the commentator is wrong about the nature of Chillul HaShem in that it primarily applies to a desecration of God's name that is made in the eyes of other Jews, and only secondarily (if at all) in the eyes of non-Jews.

*** I don't know if it is the "worst" thing, but that's another argument for another day.

**** Such as Rabbi Mizrachi's claim that the Zohar states that the North Pole is always bathed in sunlight except for one hour in the day.

Thursday, February 05, 2009

And Just So That People Won't Say That I'm Being Unfair...

... here's a logical fallacy from the anti-frum side:

One Reason I'm an Atheist

What are the odds of a secular person killing their child for becoming religious?

Zero.

Now what are the odds of a religious fanatic killing their child for becoming secular?

Not high, but there's a chance.

That's all I need to know.

Another twenty Wolf points to the person who spots it first.

The Wolf

How Many Logical Fallacies Can You Spot?

A fellow blogger (I'm not going to give him/her the pleasure of a link) posted the following:

The fossils have lead to evolution.
Evolution has led to atheism.
Atheism has led to psychopathy.
Psychopathy leads to death, either through murder, suicide, addictions or failure to have children.

How many logical and factual errors can you spot in these thirty words? Twenty Wolf points to the person who lists more valid logical/factual fallacies than anyone else.

I've already spotted a few. I'll post my findings in the comments later.

The Wolf

Wednesday, November 19, 2008

I'm Convinced 'Torah Proofs' Cause More Harm Than Good

Sometimes I have to wonder if people who peddle "Torah proofs" aren't, in fact, doing more damage than good. They proclaim that they have "scientific proof" that the Torah is divine and then follow it up with arguments that could be called faulty at best and downright loony at worst. Personally, I feel that no proof is better than a bad proof. If I tell you that I believe that God exists and that the Torah is divine, it's not subject to refutation. True, a belief on my part is not as strong as a "proof," but unlike a bad "proof," it won't leave someone feeling "lied to" when they discover the truth of the argument.

I just listened to one such lecture given (downloadable here) by Rabbi Yossi Mizrachi. The title of the lecture is Proof That Torah is Divine Part I. In his lecture, he claims to bring "scientific proofs" that the Torah is of Divine origin. Sad to say, very few of his "proofs" stand up to serious scrutiny. He goes through a lot of material in his presentation, and for me to debunk everything he says would simply take too much time. However, I don't actually have to debunk everything he says. Right at the beginning of the lecture, he presents his cardinal rule for debunking religions -- if a mistake can be found in the "holy book" of a religion, then it is a proof that the book is not Divine and the religion that it supports is bunk. So, the net result is that, according to him, if I can show that any one of his premises regarding the Torah is false, and that the Torah has a flaw, then Judaism itself is bunk. That's a rather high bar to set and, if I apply to Judaism the same conditions that he applies to other religions, then it's easy to show that Judaism is false.

Before I go any further, I want to make one thing very clear: I *do* believe in Judaism. Just because a person shows that a "proof" to Judaism is flawed and invalid doesn't make the religion itself flawed and invalid. I *do* believe that the Torah is of Divine origin and if a real proof to it is discovered one day, I will wholeheartedly embrace it. But I will not embrace flawed proofs, shoddy logic or emotional claptrap.

Biblical Errors And Consistent Standards

As I mentioned earlier, Rabbi Mizrachi begins with his cardinal rule; that if an error can be found in a "Divine book," then that error serves proof that the book is, in fact, not Divine, and that the religion that it supports is false. As an example, he brings up the verse in Acts 7:14 which states that Jacob went down to Egypt with 75 people. Of course, we know from Beraishis (46:27) and Shemos (1:5) that the number of people that went down to Egypt was only seventy. Did God forget how many people went down? Of course not, hence, it is argued that Acts (and, by extension, the rest of the Christian Bible) is a flawed document and not Divine.

On the surface, it's a sound argument. However, one has to wonder if Rabbi Mizrachi actually gave the Christians and honest and sincere hearing on the matter. Assuming that most of the Christian clergy are not total idiots, I'm fairly certain that some of them must have noticed this contradiction. Has he asked any of them for an explanation? Somehow, I doubt it. A simple Google serach turned up two possible answers that Christians can use to reconcile the 70/75 count; and, truth to tell, those answers are entirely plausible -- or at least certainly as plausible as the answer given to explain why the total given in Beraishis 46 is 70 while only 69 names are mentioned.

In other words, I can support the basic premise that Rabbi Mizrachi puts forward -- i.e. that if you find a flaw in a book claiming to be Divine then the book is not Divine. What I do object to, however, is the fallacy of holding Christians accountable for contradictions in the text itself, without giving them a chance to reconcile the contradictions, while allowing Chazal, the Rishonim and Achronim to engage in explanations that, to an outsider, would sound far-fetched and forced. In other words, if you're going to call out Christian books because they contradict themselves (or other established sources), then you have to allow the adherents to explain the contradictions; much as you wold allow yourself to explain the apparent contradictions in Tanach. I'm not saying, of course, that you have to accept the explanations offered, but, in the name of honesty, you have to give them the chance and to accept the possibility of an explainable if it sounds plausible. Somehow, my gut tells me that Rabbi Mizrachi would not accept *any* explanation from a Christian of the 70/75 discrepancy, but would entertain almost any effort to explain an apparent error in the Torah.

Mass Revelation

Rabbi Mizrachi also brings up the argument of mass revelation. In short, the argument is that Judaism is unique because it has, at its origin, a mass revelation. Millions of people (he says between six and fifteen million, but that's quite a stretch, even accepting the 600,000 number as literally true) stood at Mt. Sinai and literally heard God speak. Putting aside, for a moment, the fact that the only proof that this happened is because it says it in the very book you're trying to prove, it's a fair argument. Most religions, begin with a single individual who makes an unverifiable claim (Mohammed receiving the Koran from the angel Gabriel, Joseph Smith receiving the Golden Plates from the angel Moroni, etc.). The fact that Judaism makes a claim of mass revelation is a striking point in its favor. However, Rabbi Mizrachi is not content with that. He says that if *any* religion can claim that they had an origin even involving one other eyewitness, then that proves the Torah is false, since (and I don't know his source for this) he says that Torah says that no other religion will be able to make the claim of a plural origin.

Sadly, his claims do not stand up to scrutiny. The Aztecs, for example, had a mass revelation story. They believed that their god, Huitzilopochtli, led them (in person) to the site of present-day Mexico City. Based on Rabbi Mizrachi's assertion, the very fact that another group even claims a mass revelation shows that the Torah is not true. I suppose it's a good thing that I don't agree with Rabbi Mizrachi's underlying assertion. :)

Textual Variations and Consistent Standards

The next claim he makes is that if a "holy book" has multiple versions, then it cannot be divine. After all, how would you know which version is the correct one? He makes the point that there are over 150,000 textual variations of the New Testament (I don't know if this is correct or not... it's really beside the point) and therefore, it's impossible to determine which is the "correct" version that would have been Divinely given. R. Mizrachi makes the point that no matter where you go in the world, the Torah is the same. Since it's the same everywhere in the world, it must be divine. Well, I don't know if Rabbi Mizrachi has ever been to Yemen, but there are Jews there that have a different Torah than ours. In fact, there are nine differences. But even if we dismiss the Yemenite Torahs, we even have differences here in the United States. There are two different versions of the word "daka" in Devarim 23:2; some Torahs have an aleph as the last letter while some have a heh. So, which Torah is the correct one? The Yemenite? The daka-aleph? The daka-heh? Does this mean that the Torah is not divine? If Rabbi Mizrachi were to apply the same standard that he does to the Christians to the Torah, he'd have to say no, but I don't think he's going to do that.

Faulty "Scientific" Proofs And Dubious Claims

In his lecture, Rabbi Mizrachi attempts to give "scientific proof" to the divinity of the Torah, but all that happens is that he comes off sounding incredibly uneducated about science. He trots out various "proofs," however, very often the underlying assumption of the proof is simply wrong.

For example, he tries to prove that the Jews knew, through the Torah (specifically, a verse in Isaiah), that the world was round before anyone else. He mentions that before Columbus, no one knew that the world was round. The spherical nature of the earth was discovered when Columbus sailed off to the west and returned from the east. Of course, that's not true. In order to do that, you have to go around the world, something that Columbus never did. It was not until Magellan's voyage, in 1521, that anyone actually went around the world. However, even that's not important, because people *did* know that the world is round many years before Columbus. The ancient Greeks knew the world was round because they observed that the earth casts a circular shadow on the moon during a lunar eclipse.

He also tries to show that the Zohar, written in the days of the Tanaim (itself a very dubious claim) revealed many secrets of the world, that could not have been known before the advent of modern science. However, for two of the proofs that he brings, it's very clear that the Zohar was *not* written by a Divine Being. A Divine Being would not have peddled such incorrect information.

One proof from the Zohar that he mentions is a passage that descibes that there is one place in the world where it is always light and only dark for one hour a day -- the North Pole. However, that statement is simply not true. The North Pole is not always bathed in light except for one hour. The fact is that the sun is above the horizon at the North Pole for six months in the summer and below the horizon for six months in the winter. In other words, it is daytime for six months straight and night (to various degrees) for six months. In other words, the Zohar is completely wrong in the way it describes the North Pole.

Another "proof" from the Zohar is the fact that different people in the world look differently. According to the Zohar (at least according to Rabbi Mizrachi -- I haven't actually checked the source material), the climate affects the appearance of people. Or, to put it in Rabbi Mizrachi's words: "In Africa, everyone is black, almost the same face. Same hair, same face, same shape in the face. You go to China -- copy machine. Two billion copies." Rabbi Mizrachi clearly doesn't know what he's talking about here -- Africa is the most genetically diverse place on Earth. To say that everyone in Africa has the "same hair, same face, same shape in the face," simply shows that Rabbi Mizrachi hasn't done a great deal of reading about genetics or geography. In any event, to get to the point, the fact that different people in different regions look different is hardly a surprising discovery, even in the days when the Zohar is said to have been written. Anyone who had traveled would have known that.

As another proof to the idea that only God could have written the Torah, he mentions the Gemara in Megillah which purports to give the exact number of stars. Rabbi Mizrachi states that the number given is 1019 , although the true number mentioned in the Gemara is approximately 1018. However, we can forgive him the math error. What's harder to overlook is the simple logical mistake of using the Gemara's figure to prove the actual number of stars. In other words, the Gemara gives a really number, so it *must* be right. The fact is that the only way to prove that it's right is to compare it to another counting. The current estimate to the number of stars is actually 7x1022.

There are other "proofs" that he brings in his speech, which are equally easy to discredit (the four animals proof, the fins/scales proof and the calendar proof stand out most prominently), but this post has already gone on for quite a while.

Where R. Mizrachi Completely Disproves His Own Point

There is, however, a deeper, more fundamental problem with Rabbi Mizrachi's argument. He attempts to prove that the Torah (and by extension, the Oral Torah) is Divine because it's an error-free document and contains information that only a Divine Being could have possessed. However, by allowing supporting proof from the Gemara and the Zohar, he also leaves them open to refutation. In other words, if you're going to claim that the Pentateuch is divine, then you can only find fault with items in the Pentateuch. But by stating that the Gemara and Zohar are also divine, Rabbi Mizrachi is asserting that they, too, are error-proof. He's also asserting that they, too, must be free of textual variations (since a divine document must have only one version). The fact of the matter is that there is no one today who will say that the Gemara doesn't have textual variations. So, according to Rabbi Mizrachi's definition, the Gemara is not Divine; and if the Gemara is not divine, then the religion it supports, Judaism, must be false.

Far More Harm Than Help

At the beginning of his speech, Rabbi Mizrachi states that over 100,000 people are religious today because of this lecture (whether delivered by him or someone else). All I can say is that I find that *extremely* hard to believe. I'm not the smartest guy in the world, and yet, I was able to pick apart most of his arguments pretty easily. If this is the "proof" of Judaism, I'm left to wonder if his lectures don't do far more harm to the kiruv movement than help.

The Wolf

Thursday, November 13, 2008

Evolution And Shoddy Logic

It seems that the Evolution/Creation debate has broken out in the YeshivaWorldNews coffeeroom. To his credit, the YW Editor has been putting up both pro- and anti-evolution posts.

One thing that often amuses me about arguments like this from the Creationist* side is the fact that the Creationists inevitably end up using shoddy logic to prove their point. I have long maintained that it would be much more logical for Creationists to simply ignore the evidence and state that they hold their position solely as a matter of faith rather than argue with the evolutionists on a scientific basis. By waging the battle on the "scientific turf," they open themselves up to arguments that simply do not work.

I had a good example of this in the YWN thread. A poster named Bogen came up with this gem:

Evolution is just a theory, not a fact. (And a false theory, at that.)

Past evidence for evolution has been overturned. In the past, major scientific revolutions have overturned theories that were at the time considered factual.

In the past there have been scientific hoaxes regarding evolution, such as the Piltdown Man forgery.

Pieces of "evidence" for evolution such as Ernst Haeckel's 19th-century embryo drawings, were not merely "scientific errors" but frauds; Biology textbooks have continued to reproduce such "evidence" long after it had been debunked.

Evolution is a pseudo-religion (evolution is based on faith, supporters of evolution revere Charles Darwin as a prophet, and supporters of evolution dogmatically reject alternative suggestions out-of-hand.)

Evolution is "unfalsifiable" (there is no tests that could be made that would demonstrate that the statement is false). Any "fact" can be "fitted" into the evolutionary framework. Past events of speciation are not observable and repeatable, and therefore evolution is not falsifiable. In 1976, Popper himself said that "Darwinism is not a testable scientific theory but a metaphysical research programme".

I don't mean to pick on Bogen personally here. These arguments are typical of the ones that you find in the less-educated corner of the Creationist camp. And every one of these arguments utterly fails when it comes to disproving evolution (which was Bogen's goal):

  • The fact that he mentions that evolution is "only a theory" shows that he does not understand just what a scientific theory is. Gravity, too, is a theory.
  • The fact that " major scientific revolutions have overturned theories that were at the time considered factual," hardly proves that evolution is false. After all, at one time we had theories as to how diseases were transmitted. Now,we have the germ theory. The fact that an older theory was overturned does not invalidate the germ theory. Likewise, the fact that older evolutionary models were overturned does not invalidate newer models.
  • The fact that frauds such as Piltdown Man and Haeckel's embryo drawings were perpetrated does not invalidate evolutionary theory. Fraud has existed in all branches of science at one time or another. The fact that the frauds were eventually discovered and discredited is a point *in favor* of the scientific method.
  • The claims that evolution is a pseudo-religion, that Darwin is revered as a "prophet," that evolutionists dogmatically support *anything* (isn't that against the very idea of the scientific method?) and that evolution is unfalsifiable and has never been observed are simply false. A simple Google serach or common sense will show them to be outright false.

Interestingly enough, I don't have a problem with a faith based argument, regardless of whether or not I can show it to be false. For example, a cornerstone of the Christian faith is the resurrection of Jesus. Now, I personally wasn't present and can't state for certain whether it happened or not. I don't have a problem with a Christian who maintains that it happened -- after all, I have no argument to counter it and say that it didn't happen. I don't even have a problem with a faith based argument that is counter to scientific evidence. For example, someone can maintain that the universe is only 5769 years old and that God rigged the evidence to make the world look older. Now, I personally don't agree with that statement, but if that's what you want to believe, then go ahead.

Shoddy logic, or outright false claims, on the other hand, is something that I feel the need to address. In other words, when Creationists claim that evolution didn't happen because they maintain it as an article of faith, then I won't argue. I may consider you wrong, but not foolish. On the other hand, when they use bad logic and false statements, then they are wrong, and possibly foolish or malicious.

The Wolf

Related Post: Exactly Whom Is Doing The Arguing?
Also, check out The Rebbetzin's Husband's post regarding Creationist arguments.


* When I say "Creationist" in this post, I'm specifically referring to the Young Earth Creationists who maintain that evolution did not/does not happen. I fully recognize that one can believe in both Creation by a Divine Power and evolution at the same time.

NB: I don't mean to be attacking Bogen here "behind his back." However, past experience has shown that whenever I link to (or even refer to) my blog, the YWN editor does not put up the post. So there really is no effective way for me to alert him to this post. If someone has a way of getting the message to him, I'd appreciate it.

Wednesday, September 17, 2008

So, What's The Difference Dr. Stern?

I love it when people say things and don't grasp the enormity or irony of what they are saying. Case in point, Dr. Ya'akov Stern's letter to the editor in today's Jewish Press (bolding mine):

Rabbi David Willig (Letters, Sept. 12) would have us believe that Torah-true Jews sacrifice their reason at the altar of faith, but let's consider the rabbi's account of the creation of man: "My personal belief, for what it's worth, is that God used the evolutionary process in creation and at some point added the spark of Tzelem Elokim to a manlike creature and thus made the pre-human into a human being."

I see. So for 350 million years these soulless man-forms aimlessly wandered across the planet until one day God said to Himself, "Hey, let's make this world more interesting and give these golems a brain." All I can say is that if someone out there will buy that hooey, I have a special year-end sale on New York's bridges.

Um... and this is fundamentally different from your story of creation in what way, Dr. Stern? In your version, God one day said to Himself "Hey, let's make this reality more interesting and create a universe."

Why is one any more logical than the other that you suspect people who believe in the former are liable to buy New York bridges at discounts while the latter are perfectly sane and logical?

The Wolf