Monday, June 20, 2011
Planar Divisibility Graphs and The Bible
However, there are many other interesting graph theory problems.
A graph is said to be planar if one can draw it on a plane with none of the edges intersecting. So for example, K3, the graph formed by three vertices all of which connect to each other is planar, but the similar graph K5 formed by five vertices all of which connect is not planar.
We can also change our notion of graph by allowing our edges to have directions, and represent them with arrows rather than straight lines. Thus for example, if one wanted to use a graph to represent who knows the name of whom with a bunch of people, using a directed graph would be quite natural.
Over the last few days I have been thinking about divisibility graphs of sets. These graphs arise when one takes some set of positive integers and assigns each to a vertex then draws the corresponding arrows when one integer divides another. (So for example, if our set was was {1,2,4} then 1 would have arrows going to 2 and 4 and 2 would have an arrow going to 4). For convenience, I am ignoring the arrows that vertices would have going to themselves.
Now, assume one has a set of positive integers A and we know that corresponding divisibility graph is planar. What can we say about how large the set is. That is, if we let A(x) be the number of elements in A which are at most x, how fast does A(x) grow? It is not difficult to see that one can get A(x) to grow at least about as fast as x/log x. One does this by taking A to be the set of prime numbers. The resulting graph is certainly planar since it has no edges at all. Then the prime number theorem does the rest. With a small amount of tweaking, one can get this to grow at about 2x/log x since one can include all the numbers of the form 2p and still get a planar graph. I suspect that the actual best possible growth is on the order of x/log x but I'm not sure. One possible approach to making a large planar divisibility graph is to use the greedy algorithm. That is, throw 1 into the set and then go by induction on each integer, throwing in the next integer if it still allows a planar graph. If one call this set G, then the first number not in G is 18. It seems at first that G grows quickly, and G includes every prime number. But most large integers are in fact not in G, a result of the fact that most large integers have a lot of prime factors. For example, every multiple of 6 other than 6 and 12 is not in G.
Now, you may be thinking, "Josh, this is an interesting math problem, but the title mentioned the Bible. What does that have to do with anything?" The truth is that the connection is tenuous. The problem about planar divisibility graphs occurred to me when I was tutoring a professor's young kid in graph theory, and we discussed divisibility graphs. The professor's family is Orthodox, and so another graph we talked was to take different Biblical figures and make a graph representing who had met whom. The major graph had three large components, one corresponding to the patriarchal time period (with Abraham, Issac and Jacob as the most connected points), one to the time around the Exodus (with Moses at the center), and one at the early monarchy, with David, Samuel and Solomon as the main points. However, an issue came up. My young student wanted to add Eli, the high priest during most of the of Samuel to the graph. This raised an issue which neither he nor I knew the answer: Did Eli ever encounter David? The text does not mention such an event, but the chronology seems tentatively to allow such a meeting. I'm also unaware of any midrashim claiming that they met. I'm mentioning this here therefore for two reasons: One can any more knowledgeable readers point me to anything in the text itself which deals with this, or can any of my more midrashically inclined readers point me to any midrashim that address whether they met?
Monday, June 6, 2011
Dungeons, Dragons and Halacha
However, I recently came across yet another meaning of this term in a Dungeons and Dragons context. There is a spell, described in the D&D book "Player's Guide to Faerun" called "Spell Phylactery" which allows one to store a spell on a scroll which "must be bound to your arm or forehead (usually rolled tightly or placed in a small box for this purpose)". This form seems more directly inspired by the phylacteries of the Jewish tradition. Unfortunately, even if D&D magic were real, it would not be halachically acceptable to make a three-way phylactery since the Spell Phylactery spell can only be cast by a worshipper of the goddess Mystra, which would be not allowed under halacha. Too bad. I really wanted phylacteries that functioned as both a phylactery and as a spell phylactery.
Monday, May 2, 2011
Osama bin Laden's death, Barack Obama, and the Judeo-Christian heritage of the United States: A response to my brother
There were more measured responses including a piece in the Huffington Post by my brother Nathaniel. Unfortunately, many of the more measured responses, including this one, are misguided.
Nathaniel listed five aspects of the President's remarks which in his view stood out:
1) Obama emphasized that America and al Qaeda are "at war." This is an important shift from the president who wanted to try Khalid Shaikh Mohammed in a civilian court in New York, and who vowed to shut down Gitmo during the 2008 campaign. The tone here tonight was clear: The terrorists who plot against the United States are (illegal) combatants who deserve the full front of our military fury, not our legal rights.
2) The president gave a nod to his predecessor, in an acknowledgment that America has never been, nor ever will be, at war with Islam. This took class and grace, and Obama merits credit for it.
3) This speech was traditional. From the inclusion of "under God" in his closing remarks, to the references to retributive "justice," Obama channeled the Judeo-Christian values that still define our nation -- again, a welcome shift from the president who went out of his way to give a nod to "non-believers" in his inaugural address.
4) Somehow, Obama managed to take this moment to combat feelings of American declinism. The memo: We can do anything we set out to do. Compare this simple yet effective message to his recent flop of a State of the Union speech, in which the example of our greatness was the fact that "America is the nation that built the transcontinental railroad." This moment disproves those who sing the song of the "fall of American Empire," resolve, and spirit.
5) Most importantly, Obama tonight reaffirmed America's role as a force for good in the world, a force that extends beyond our borders. After U.S. troops took a backseat in NATO operations against Muammar Gaddafi, many (including me) worried that our will to "oppose any foe" in the defense of liberty played second fiddle to the whims of the UN, EU, and the Arab League. Thankfully and surprisingly, Obama reaffirmed our commitment to be a "shining beacon on a hill" to light the world.
I don't have any significant problems with the second or fifth points, but the other three are problematic.
In his first point, Nathaniel portrays as a positive that which isn't. He also confuses a variety of different issues. Targeting high ranking terrorists and killing them is distinct from whether or not people such as Khalid Shaikh Mohammed should get civilian trials once they are in our custody. But we can direct our military against targets at the same time that we use civllian trials for those who are captured. The first World Trade Center bombers and the Oklahoma City bombers were both tried successfully in civil courts. Being at war does not mean we need to ignore due process.
Nathaniel's third point is deeply wrong. The Judeo-Christian heritage of this country is deeply exaggerated. The US Constitution bears almost no signs of Judeo-Christian values. There are only three signs of such religious influence in the Constitution, and all are comparatively minor. First, laws presented to the President become law in 10 days after presentation to the President, excepting Sundays. Second, the treason clause requires two witnesses of an overt act to convict or a confession in court. This requirement echos the Old Testament rule for conviction of severe crimes which requires testimony of two witnesses. Third, the Constitution is dated "in the year of our Lord," a conventional phrase at the time.
Moreover, Nathaniel's statement portrays the Judeo-Christian heritage in the worst light possible. I'm proud of my Jewish heritage. But there's something deeply wrong when that heritage's primary lesson is an endorsement of retributive justice. It is noteworthy that the most substantial impact of the Bible on the text of the Constitution is to make conviction and punishment more difficult, not to endorse retribution. Indeed, it is a common theme in that heritage that we understand that even our enemies are people who can suffer. At the Passover Seder, even as the deliverance of the Israelites is celebrated, we remove a drop of wine from the cup for each of the Ten Plagues, remembering the Egyptian suffering.
Most troubling of all is the notion that mentioning God constitutes a " welcome shift from the president who went out of his way to give a nod to "non-believers" in his inaugural address." Approximately 10% of the people in United States self-identify as having no religion, and about 2% of the U.S. population identifies as either atheist or agnostic. Non-believers in the US have ranged from Carl Sagan to George Clooney, from Neil deGrasse Tyson to Bill Gates. Non-believers are an important part of the United States, intertwined with everything that makes America a great nation. All citizens deserve the same respect, whether they are differ by skin color, politics, or religious beliefs.
Nathaniel's fourth point is also misguided. The building of the transcontinental railroad was a triumph of the American spirit. And yes, America is really in a decline when our example of "we can do everything" is to kill our enemies. We are the only nation that has ever sent people to the moon. Yet, no one has walked on the moon in forty years. The shuttle will soon no longer be operational, and the US will need to rely on Russia for space flight. We are in a decline. No speech can hide that. And pretending otherwise is not a good thing. We must fight that decline. But we cannot fight it if we do not acknowledge the threat.
Nathaniel ended his piece by saying that he was proud of the troops and proud of the President. I can understand being proud of the troops. They risked their lives. We should be thankful to those soldiers who put their lives on the line to protect what we hold dear. This is not a good reason to be proud of the Ppresident. Nothing he did substantially impacted this result. It is possible that actual policy changes by Obama somehow lead to these events by making it easier to track down Osama. But I've seen no indication of that. Let's not give him credit that he isn't due. It is likely that in the 2012 election I will vote to reelect Obama, but that has almost nothing to do with these events, and it shouldn't. Instead of responding to these recent events, we should all vote for whichever candidate we think will be the most competent President with the policies that are best.
Sunday, February 28, 2010
Purim and Don't Ask Don't Tell
My twin has a piece up at the Huffington Post that looks at the story of Purim in the context of the Don't Ask Don't Tell. Aaron argues that the story of Esther, in which she hides her Jewish identity from the king until she is forced to reveal it to save her people, bears a similarity to the military’s current policy regarding gays. In particular, Esther hid her ethnic/religious identity and the king did not inquire about that identity until events required Esther to disclose the truth. Aaron argues that this ancient tale reflects a basic truth about policies like Don't Ask Don't Tell: they are inherently unstable.
I am not impressed by the piece. The claim that DADT is inherently unstable is not novel: I don't think that anyone, whether they are for or against gays in the military, thought that DADT had any long-term stability. Policies in which an identity is acceptable only as long as it is not blatant are by nature unstable since such policies generally arise when certain groups are discriminated against, but the discrimination is not universally accepted and therefore must be discreet. To continue to use Jews as an example, the quotas on Jewish student admissions to Ivy League schools prior to the 1960s worked in a fashion similar to DADT. Applicants who were obviously Jewish were covered by the quotas. But little effort was made to actively determine the identity of general applicants. (This is to some extent an oversimplification. Dan Oren's excellent book "Joining the Club" discusses this in more detail). This ambivalence was in part due to the fact that Jews were accepted enough that a serious backlash was feared from excessive enforcement of the anti-Jewish quotas. Similarly, DADT in the military came as a compromise when both gay rights groups and anti-gay groups had political power. Such a compromise is inherently unstable.
Aaron also does not address the fact it is not clear from the text why Esther kept her Jewish identity secret from the king. Aaron cites the traditional commentaries which weave elaborate stories of Esther keeping the various classical prohibitions of Judaism such as kashrut and Sabbath observance. Some of the classical commentaries say that Esther kept her Jewish identity hidden because of Persian attitudes towards the Jews. Others invoke other explanations. For example, according to some commentators, Esther kept her identity hidden because of her relation to the line of Saul, the first king of Israel. If it became known that she was of royal blood, her political position would have become much more complicated. Given the ahistorical nature of the story of Esther, it seems to me that the likely reason for her keeping her Jewish identity hidden is primarily to make an interesting story.
My twin correctly notes that there are good reasons to abolish DADT and allow gays to serve openly in the military. However, those reasons exist without any analogies to Biblical texts. We can make the correct decisions without recourse to ancient texts whether we see those texts as religious or literary in nature. DADT is bad policy. We don’t need the story of Esther and Mordechai to tell us that.
Tuesday, February 16, 2010
Orthodox Jews, Vaccination, and Mumps
Mumps is marked by a swelling of the salivary glands, giving the victim a characteristic chipmunk-like appearance. Most victims have fever and headache, and a few suffer from hearing loss, meningitis and swollen testicles that can lead to infertility. It was once a common disease in the U.S., with an average of 186,000 cases per year before the mumps vaccine, now included in the mumps-measles-rubella, or MMR, vaccine was introduced in 1967. The mumps part of MMR is thought to be the least effective of the three vaccines, with 73% to 91% of those vaccinated obtaining proteciton after one dose and 79% to 95% after two doses.
Patient zero in the current outbreak was an 11-year-old boy who returned from England on June 17. Mumps has become more common in that country recently because of the substantial number of parents who refuse to let their children receive the MMR under the misguided belief that the vaccine can cause autism. About 7,400 cases of mumps were reported in Britain last year.
Orthodox Jews have accounted for more than 97% of cases, and the majority -- 61% - -are among 7- to 18-years-old. More than three-quarters of the patients are male. Among those for whom vaccination status is known, 88% had received one dose of MMR and 75% had received two doses.
The threat of sterility needs to be especially emphasized. In Orthodox Judaism, there are few things more important than having children. Mumps can induce infertility in both males and females. It is not at all unlikely that children who have gone through this epidemic will have trouble finding marriage prospects. Thus, the failure to vaccinate has produced what may become terrible, long-term problems for many children for the rest of their lives. The Orthodox unwillingness to vaccinate has become a self-inflicted wound. In this case, anti-science attitudes were far from harmless and the results may yet grow to more seriously threaten both the Orthodox population and other people as well. Failure to vaccinate children creates serious risk to your children and the people around your children. Vaccinate. For some of these children, it is already too late. They will bear the physical and social scars of their parents' decisions.
Wednesday, January 6, 2010
Orthodox Judaism, Science, and Natan Slifkin
I was unaware of the depth of charedi fear of and disdain for science until I recently began examining the controversy surrounding Natan Slifkin. Slifkin is a charedi Rabbi who wrote a series of books looking at the interplay between Judaism and biology. Slifkin made three primary of arguments: First, he argued that the evidence for evolution was overwhelmimg. Second, he argued that belief in evolution was not incompatible with Judaism. Third, he argued that the Rabbis of the Talmud could be wrong about science. For the charedim, the second two points apparently caused far more concern than the first. In 2005, many of the Gedolim joined to issue a ruling in which Slifkin was labeled a heretic. Possession and reading of his books was banned.
The charedi rejection of science goes far beyond simple opposition to evolution. For example, I was recently disturbed to learn from a conversation with Slifkin that some major charedi Rabbis believe in spontaneous generation of small rodents. I had been aware that such beliefs had survived until the early 1900s, but I was shocked to find out that many prominent charedi rabbis still believe spontaneous generation of small creatures. The charedi attitude towards science is in many ways connected to a deep worry of persecution. Moshe Sternbuch, the current chief Rabbi of the Edah Charedis, a prominent organization of Israeli charedim, stated that scientists say the world is old because "they want to refute the words of our Sages and undermine the faith that exists amongst the Jewish people. Their main concern is to try to shake the faith in G-d — which has been accepted by us generation after generation."
For another example, see these videos of Rabbi Aharon Schechter in which Schechter gets actively angry at the thought of people trying to investigate evolution, the age of the earth and related questions:
This attitude, one of perceived persecution and anger, seems to stem from two sources: First the charedi worldview is very wrapped up in the history of persecution against Jews. Thus, the charedim see any modern event in that light. Second, the charedi worldview is profoundly self-centered. They assume that essentially everyone cares about what they are doing. Thus, if scientists come to a conclusion that clashes with standard charedi beliefs, the charedi infer that the scientists are trying to target them. In this regard, comparison between the charedi leaders and the leaders of fundamentalist Christianity today is not favorable to the charedim. While many evangelical Christians and fundamentalist Christians reject much science, it is rare for their leaders to claim that scientists are trying specifically to destroy their religion.
However, the anti-science beliefs discussed here are not held by just the charedim. The modern Orthodox also have serious problems with much of science. Alexander Nussbaum has examined modern Orthodox attitudes towards science (see his article in Skeptic as well as Nussbaum's article "Creationism and Geocentrism Among Orthodox Jewish Scientists." in the January-April set of Reports of the National Center for Science Education). Nussbaum found that even among orthodox Jews attending secular colleges, a large fraction reject much of biology, astronomy, geology and other branches of science. About three quarters of the respondents when asked about the age of the Earth, said that it was less than 7000 years old. The vast majority (around 90%) believed that all land animals descend from animals on Noah's ark. Possibly most disturbingly, around a quarter of the students believed that evolution was not only false, but that scientists were deliberately concealing this fact.
Nussbaum also found that undergraduates majoring in scientific areas were less likely to accept many aspects of basic science. Nussbaum proposed that:
It seems that the science majors and degree holders — precisely because they were more likely to be exposed to evolution — were subject to additional community influences not to be “taken in” by the “heresy” they would hear, and were even less accepting of evolution. And individuals with a science background from that community have the added responsibility to use their knowledge and standing to promote religious doctrine in scientific matters.
Presumably the science majors would respond that they are more involved in science and so are more able to see the terrible problems with vast swaths of modern science.
While I had seen Nussbaum's work many years ago, I had generally assumed that something was wrong with his work. While these anti-science viewpoints were not unknown among the Orthodox students when I was an undergraduate at Yale, these views were not as popular as they appeared to be in Nussbaum's study. However, I'm now a graduate student interacting with students at Boston University. Here it seems that the profile of the Orthodox beliefs fits Nussbaum's data much better. Indeed, I recently found myself in a situation with six Orthodox students in the room and five out of the six believed in a literal global flood. When a conversation ensued, one student was unwilling to say whether he believed or not some of the more interesting claims in the Talmud such as the aforementioned spontaneous generation or the existence of the phoenix. That may have been in part due to the student not wanting to discuss the matter, but the overall reaction still agrees strongly with Nussbaum.
Why are otherwise moderate theists so willing to disregard large sections of modern understanding of the world? There are a variety of factors at play. However, one factor that is worth considering is the Orthodox attitude towards Talmudic rabbis, Talmud, and associated midrashic texts. While in some respects Jewish willingness to look at associated commentary or to interpret verses using Oral Law allows for moderation and incorporation of new knowledge. That willingness can also backfire. In particular, for many Orthodox Jews, statements made by Talmudic rabbis are by nature intrinsically infallible. Thus, instead of using the Oral Law as a way of reconciling science and religion, it is used to add additional statements that must be taken as literally true. whether they are about mice arising from mud, or birds burning themselves to regenerate for another life.
So far, this anti-scientific attitude does have some limits. I'm not aware of any Orthodox Jews (regardless of type) who believe in a flat earth. But geocentrism does certainly exist among Orthodox Jews. Most disturbingly, however, is that these anti-science views seem to be becoming more common rather than less in the Orthodox world, especially in the charedi world. The charedi world is not disconnected from the rest of the Orthodox world. If the charedi world becomes more extreme, it will likely pull the rest of the Orthodox world in the same direction.
If Modern Orthodox Judaism is to be taken seriously as a reasonable religion, able to survive in the modern world, then these trends need to be countered by responsible Orthodox leadership.
Monday, January 4, 2010
Minyanim and Mathematics: A protocol for anonymous counting.
However, people may not wish to advertise that they are not fasting even if they are willing to assist with the minyan. Moreover, even a very observant individual might have a reason not to fast and would not want people to know about it (such as a medical condition). This leads to the following problem: How do we determine how many people are fasting without requiring people to disclose whether or not they are fasting?
In a recent minyan I attended, this question was handled by the gabbai (the person in charge of running the minyan) asking everyone to close their eyes and hold up one hand if they were fasting. This is obviously unsatisfactory since the gabbai finds out who is fasting. One could suggest slips of paper or the like. but they could be easily connected to particular individuals. To make this problem interesting, it is helpful to assume that everyone knows the identity of the sender of any communication they receive. Is there a solution under which individuals' statuses remain private while the minyan is assured of 10 fasters?
Curiously the answer is yes albeit the solution is a bit cumbersome. Here's how: The gabbai picks a random integer (the distribution doesn't matter although in practice one might want a reasonable distribution that approximates a bell curve or an exponential distribution or something similar). The gabbai takes this integer and adds 1 to it if he is fasting. The gabbai whispers this number to another person. That person adds 1 to the total if he is fasting and similarly passes it on to another person. The last person gives his number to the gabbai. The gabbai now subtracts the random integer that they initially added. The total the gabbai has is the number of people fasting.
A few notes about this algorithm. First, it is important that, when the gabbai is picking a random integer, that every integer has some non-zero probability of being chosen. Consider, for example, what would happen if the gabbai was known to only pick positive integers. If the gabbai picks 1, the next person can tell if the gabbai is not fasting. Thus, the gabbai can never pick 1. But then, by the same logic, the gabbai won't be able to pick 2. Or 3. And so on. This problem is avoided if the gabbai can pick any integer whether or not it is positive.
There is also a degenerate case of if only the gabbia is fasting or only the gabbai is not fasting. In those cases, the exceptional individual can work out the status of everyone else.
The algorithm also assumes that people are not going out of their way to obtain information. If two people bracket a third and cooperate, they can figure out the middle person's status as a faster.
In fact, it turns out that it is possible to make a more sophisticated protocol that would prevent this and similar tricks. This would be a variation of an anonymous voting algorithm. However, these algorithms rely on clever cryptography with large prime numbers which is only believed to work rather than proven to work. Implementation also would require much more computation than can be done by hand.
Less intensive algorithms can be used to increase the number of people who must cooperate. It is, for example, an interesting exercise to construct a variation of the above such that finding out someone's status requires the cooperation of at least three people.
This algorithm in practice is cumbersome. Moreover, the goal it seeks to accomplish is minor since, if the fast day liturgy is used, those sections of the services actually need to be performed by people who are fasting. Thus, the gabbai will need to know the status of at least a few people. However, this algorithm has the slight advantage that, if there are not enough people to recite the fast day liturgy, then no one will know which people cause the deficiency.
Thursday, June 18, 2009
Yeshiva World News creates Anti-Semites
Yeshiva World News, a popular ultra-orthodox news publication, ran an editorial on Wednesday that argued that the real problem wasn’t anything that Rabbi Ganz had done. No, the real problem was that the matter came to the attention of the proper authorities in part because fellow Jews had told the government and the press about Ganz’s behavior. The article is misleading in that it implies that the criminal in question, Tuvia Stern, was merely awaiting charges . This is not accurate. Stern was convicted and is serving a sentence. Moreover, although Rabbi Ganz is a chaplain for The Tombs which is used primarily as a holding prison for not yet convicted criminals, most of the favoritism he is accused of providing benefited convicted prisoners.
From the article (comments in brackets are my translations of relevant Hebrew and Yiddish phrases):
So to be clear: An Orthodox Rabbi engaged in behavior that was at best ethically dubious, he got caught, and YWN is complaining that fellow Jews reported on him.Centuries ago, one of the worst things a Jew could be was a “mosser,” a term generally translated as “informer” but more accurately rendered as a “snitch.” A mosser was someone who reported the transgressions of other Jews to the non-Jewish government. In an era when pogroms could occur on the flimsiest pretext and where Jews handled most legal matters internally, this was a reasonable stance. However, this has not been the case for hundreds of years in most of the world, and has never been the case in the United States. Yet, here in the United States in 2009, we have an Orthodox Jewish publication criticizing Jews for reporting clearly inappropriate behavior out of concern that such reporting will lead to increased anti-Semitism. This position is both reprehensible and short-sighted. I know what will lead to increased anti-Semitism: Non-Jews learning that a substantial part of the Jewish community considers itself so divorced from the civic life of the United States that it thinks that people who report the failures of government employees are worthy of death.
The inmate had arranged to have his son’s Bar Mitzvah celebration in the jail where he was being held. This information was subsequently leaked to the press at which time they had to act on the information. And act on it they did. What a travesty!
This has caused an obvious chillul Hashem [disgrace to God’s name] of the highest magnitude and has put the orthodox community at large and all frum [orthodox] inmates, once again, under great and unwarranted scrutiny. It has had a tremendous ripple effect and has left in its wake the evisceration of years of mesiras nefesh [self-sacrifice] and infrastructure that has been built for inmates past, present, and future.
We all know how important the mitzvah of Pidyan Shvui’im [redeeming andcomforting captives] is and it is not our place to judge another Jew. That is a job for Hakodosh Baruch Hu [The Holy one Blessed be He] alone. Our job is to make sure that we do all we can to facilitate these individuals and their families in their time of need to the best of our ability. No one would condone any of their alleged behavior and some may agree or disagree with the considerations they may have received until this point, but no one would disagree that we must stand by our fellow Jews and help in any way we can. Unfortunately, that was all lost and a lesson that will come at a severe price. Who knows what will, Lo Aleinu [God forbid], await these prisoners as they get shipped off to Riker’s Island. Their potential mistreatment is beyond our comprehension as they will be in the company of the worst criminals in our state.
Does someone really believe a good thing was done here? Is this what our Torah teaches us? The anti-semitism this has caused will be on their head and only death can be m’chaper [atone] the chillul Hashem [disgrace to God’s name]. We, as Jews, must think long and hard of the far reaching ramifications of our actions.
I hope that the sane elements of the Orthodox community will condemn this outrageous editorial in the strongest possible language. Jews are American citizens with the same rights and the same obligations as all other American citizens. The United States has welcomed and extended civil rights to Jews in a historically unprecedented fashion. This editorial displays profound unawareness of and ungratefulness for that reality.
Hat tip to Onion Soup Mix.
Sunday, June 14, 2009
Captain Kirk and Kashrut
The rapid growth of modern technology has left Orthodox Rabbis almost overwhelmed in dealing with new issues. It is therefore not surprising that they have had little time to address questions of predicted technologies and discoveries which do not yet exist. This has not stopped the laity from speculating about such issues, especially when prospective technologies are connected to popular culture such as Star Trek and Star Wars. This post will discuss two of the major halachic questions raised by Star Trek and outline their possible resolutions. First, is replicated food kosher? Second, can aliens or androids convert to Judaism?
The first thing that many people think about when they think about Orthodox restrictions is kashrut, the traditional dietary restrictions on religious Jews. Star Trek: The Next Generation and later shows have a technology called “replicators” which allow users to materialize practically any food from pure energy. This technology raises a variety of issues. First, can an Orthodox Jew replicate non-kosher food such as pork and then consume it? The answer appears to be yes. Kashrut does not depend so much on the chemical composition of a food, but its history. For example, gelatin made from a ritually slaughtered animal is kosher while gelatin made from an improperly slaughtered kosher animal might be chemically identical and yet not be kosher.
However, there is an halachahic question whether food that looks non-kosher can be consumed. For example, many will not consume fake bacon made from beef or cheeseburgers which use soy meat. If one believes that such foods are unacceptable, then replicated pork would be likewise unacceptable.
There are however, other problems raised by replicators that only become obvious if one has spent far too much time with Star Trek. In particular, the Enterprise 1701-D has a hydroponics garden. Fans traditionally explain this garden by pointing out that in Star Trek canon certain molecules cannot be replicated and others are very difficult to replicate. Thus, when called to replicate food that contains those molecules, the replicators transport the molecules from stored material, in some cases, material harvested from the hydroponics garden. While for most purposes plant matter is always kosher, there are two circumstances where this is not the case: First, grape products have their own rules of kashrut for historical reasons. Second, during Passover, leavened products are not kosher. Thus, it is possible that material in the Enterprise’s garden could result in the replicators making unkosher food. This is a serious issue, since tools used to prepare non-kosher food can under many circumstances become not kosher themselves and transmit their kashrut status to any new food subsequently made with them. It is not clear from the description of how replicators function to decide whether or not replicators have this problem.
One general question that is raised by many science fiction shows is whether aliens can convert to Judaism. This question is difficult in that there’s no clear halachic definition of what constitutes a person. If one is a Young Earth Creationist, then this shouldn’t be a hard question to answer: people are those beings descended from Adam and Eve. However, Star Trek is explicitly not YEC, so that answer is out. Moreover, in the Star Trek universe it is possible for humans to interbreed with certain types of aliens (Spock of course is only half-Vulcan). Thus, an interfertility test as favored in the biological species definition may not work.
Moreover, it isn’t clear that a nonhuman being could not still be subject to halachah if that being was sufficiently sentient. This is connected to the more realistic question of whether an African Grey Parrot can convert. I have been told but not seen in any source that the test for whether someone is too mentally challenged to be able to understand enough to convert is whether they can recite and explain the Shemai. It isn’t clear to me that a Grey Parrot would not be able to do so (although whether you could convince an African Grey that this vaguely defined, amorphous, unobservable “God” entity existed is not at all obvious to me).
A question related to that of aliens converting is that of robots. In this case, there is a more direct precedent, in that this question has been asked previously about golems. A golem in Jewish folklore is a large creature made of clay which is animated by mystical rituals. (Under no circumstances should one confuse a golem with a small creature with a magical ring that it calls its Precious. That would be confusing fact with fiction) Golems cannot convert and cannot take part in any mitzvah since they have no souls. Presumably, the same result would apply to robots and androids. So if anyone of you wanted to see Data as a cantor, you are out of luck.
So the food on the Enterprise is kosher, but you can’t form a minyan with Data.
Thursday, April 16, 2009
Horcruxes and Halacha
Assuming that magic as described in D&D existed for real, can one halachically become a lich? First, we must ask can one become a wizard or sorcerer? The quick and superficial answer is no since the Torah specifically forbids magic use. However, closer inspection reveals that the answer is not so clear.
Maimonides argued that the Torah actually forbids trickery where one claims to be doing magic. To Maimonides, “magic” in any meaningful sense doesn’t exist. So the abilities of a D&D style wizard would be simply talents that are difficult to explain. Thus, becoming a wizard would be fine as long as one didn’t call them magic except as something like a possible shorthand for a Clarke’s Third Law class of technology . Even if one disagrees with Maimonides and thinks that there is some class of abilities which constitute magic, it still isn’t clear that D&D magic is a problem. Just because we call something magic does not mean that that it was the Torah was referring to when it talked about magic. The standard system of magic used in D&D (not counting 4th edition) uses a so-called Vancian system of magic. In this system, named after science fiction writer Jack Vance, spells must be prepared beforehand and the spells are then stored in the mind. The gestures and arcane words merely release the stored spell. The Vancian system bears little similarity to magic as described in the Torah or Talmud.
Becoming a wizard is probably ok. Assuming one can become a wizard, can one become a lich? This seems much more halachically problematic but a case can be made that the answer is yes. First, in many descriptions, the process to become a lich involves killing others to fuel ones transformation. If one is using such a process, this is obviously not ok. Second, the process seems to involve killing oneself. Killing oneself is not halachically ok. However, we may get away with this if we examine the halachic notion of death. There is a disagreement in the Talmud over how we determine if someone is dead. The two opinions given are whether the person is breathing and whether the person has a heartbeat. However, it isn’t clear if these are descriptive statements or whether they are normative tests of life. For example, the Talmud makes clear that everyone agrees that at decapitation a person is considered dead instantaneously even if the heart and lungs continue to function for a short period of time. If the test (whether breath or heartbeat) are normative descriptions of when someone is alive then one cannot become a lich. Unfortunately, for our prospective frum lich, the opinion that these are normative tests of life and not proxies is not a rare one. If however, heart and lung activity are merely proxies, then it isn’t unreasonable to declare that a lich walking around is halachically alive.
The only remaining issue is that in some editions of D&D, becoming a lich also requires making supplications to dark gods which would be a problem. However, most editions do not have that requirement so for most forms of D&D magic this is not an issue. Thus, one can become a lich.
We can extend this analysis without much effort to the creation of horcruxes. The analysis of J. K. Rowling’s magical system follows through almost identically. However, murdering others to create a horcrux raises halachic problems. But it isn’t clear precisely what constitutes a murder for purposes of a creating a horcrux. If killing someone in any form is sufficient then killing someone during wartime or if carrying out a valid execution would be halachically acceptable routes to creating a horcrux. There’s really no halachic problem with splitting one’s soul. Halacha takes no standpoint on the existence or nature of a soul. Since souls cannot be manipulated by normal means, they are not covered under any halachic rulings. Thus, although the Harry Potter books describe the process of splitting a soul to be profoundly evil, it does not raise any halachic issues. Moreover, since someone with a horcrux is still living (unlike a lich) the entire set of issues about killing oneself can be bypassed. Whether or not halacha allows you to become a lich, it almost certainly allows you to create a horcrux.
Now, astute readers may recall the other definition of the word “phylactery.” The word actually means a small box containing an object of religious or mystical significance. The word is most commonly used in the plural form as a translation for tefillin, the objects traditionally worn by religious Jews in weekday morning prayers. I do own tefillin. This raises an additional question: If I do become a lich, may I use my phylacteries as a phylactery?
Wednesday, March 18, 2009
Kashrut Supervision
Why am I thinking about kashrut supervision today?
Wolfish Musings talks about a new milk being sold in New York and New Jersey that is aimed at the ultra-Orthodox population has no less than four hechserim. The vast majority of Orthodox Jews have no issue with food that has a single hechsher. Indeed, it is generally difficult to find a food with multiple hechsherim on it. Moreover, while arguments do exist in the Orthodox community over which hechsherim are really trustworthy enough, most of those arguments are about the hechsherim for meat products. The laws concerning milk products are much simpler than the laws for meat. Ultra-Orthodoxy seems to be about trying to find new ways to be strict that no one previously has ever worried about. Indeed the motto of the milk company is "Machmirim bnei Machmirim" which translates as "The strict who are children of the strict." If anyone can give an explanation for why someone would think that four different hechsherim would be at all useful or halachically better I'd like to hear it.
Wednesday, January 7, 2009
Judaism and Geocentrism
Most of the active Jewish geocentrists are Lubavitchers. In contrast to the Christian geocentrists who have as their main impetus for geocentrism various Biblical verses, 2 the Jewish geocentrists seem to in a large part be motivated to preserve the correctness of certain statements by Maimonides. In particular, they defend the cosmology as set out by the Maimonides in the Mishne Torah. I am puzzled by these apologetics for two reasons: First, there does not appear to be any similar attempt to defend incorrect medical statements by Maimonides. Second, there’s no theological need even among charedim to believe that Maimonides was infallible. Prior to this, I have seen attempts to argue for what amount to infallibility of the Talmudic authors but had not previously encountered such attempts where later authors such as Maimonides were concerned.3
Like the Christian geocentrists, the Jewish geocentrists prefer two lines of argument which are contradictory and yet are used in tandem. First, they argue that under General Relativity one can always construct a coordinate system with a given point as stationary so one might as well assume that the Earth is at the center.4 This argument has been sometimes called “weak geocentrism.
The second argument, “strong geocentrism,” is the claim that the Earth is at the center of the universe in a meaningful fashion; that is, there are lines of evidence which only make sense if the Earth is at the center of the universe. How both these claims can be made simultaneously is not clear to me. Apparently, studying Talmud on a daily basis does not help ones logical skills as much as one might hope. As with the Christian geocentrists, the Jewish geocentrists have a strong anti-science bent; they either insinuate or state outright that there exists a massive conspiracy within the scientific establishment to discredit geocentrism. Like their Christian counterparts, the Jewish geocentrists credit the Copernican system with inspiring later heresy such as evolution.
On the whole, the Jewish geocentrists in thoughts and arguments are very similar to the Christian geocentrists. As with the Jewish and Christian anti-evolutionists it is not obvious to me whether there is cross-fertilization or independent arrival at the same ideas. I suspect there is cross-fertilization but the mechanism is unclear. More research is needed.
1.
While Catholic geocentrists also exist they are rarer than their Protestant counterparts. Geocentrism is in fact not the most extreme extant cosmological belief; there are a handful of extant flat-earthers especially among Islamic groups. See for example this video of a debate on Iraqi television about whether the Earth is flat.
2. Such as Joshua 10 in which the sun stands still.
3. Orthodox apologists use a variety of different arguments to defend against apparent errors of fact in the Talmud. One of the more transparent attempts is to claim that the nature of the universe has changed since the Talmudic time. This claim shows up in a variety of different forms including explaining the Talmud’s apparent confusion about the human female menstrual cycle. My impression is that many such claims are pro forma; I have yet to find anyone who was been willing to state explicitly that they think the basics of human anatomy have changed in the last 2000 years.
4. I’m not sure this is in fact strictly true. I’d appreciate input on this subject from people who understand general relativity. In fact, this weak geocentrism is not sufficient to save Maimonides's cosmology since he has the various planets in circular orbits about the Earth and has the sun in a circular orbit about the earth (along with a few epicycles). This contradicts observed data even if the Earth were stationary.
Wednesday, December 31, 2008
Messianic Jews, The United States Military and The First Amendment.
A bit of background: Messianic Judaism is a movement composed of individuals who claim to be both practicing Jews while they accept Jesus as Messiah. While there is variety among the various Messianic groups, most have beliefs very similar to the beliefs found in Protestant Christianity. In particular, Messianic Jews emphasize the divinity of Jesus, not just his messiahood , and emphasize their acceptance of Jesus as their personal lord and savior. Additionally, many Messianic Jews (according to some sources, a majority) are not halachically Jewish and a substantial fraction have no actual Jewish heritage, but are Christians who have decided to identify as Messianic Jews for a variety of reasons. The Jewish element of Messianic Judaism comes from many of them keeping some degree of Kashrut and some Sabbath observance starting on Friday and ending Saturday night. Mainline Christian denominations, most evangelical Christians and almost all Jews consider Messianic Judaism to be a form of Christianity, not Judaism. There is a perception among many Jews and Christians that Messianic Jews have been deceptive in their proselytizing practices and have presented themselves as a standard form of Judaism, particularly to Jews who have little background in Jewish knowledge.[i]
Michael Hiles, a self-identified Messianic Jew, was training to become a Navy chaplain. He was informed that he would be required to wear the cross on his uniform rather than the small pair of tablets representing the Ten Commandments, which is the symbol for Jewish chaplains. Hiles objected , and, after unsuccessful appeals up the chain of command, ceased training to be a chaplain rather than comply.
These events raise a variety of questions. I will examine two of these and then propose a solution. First, is the Navy’s decision constitutional? Second, is the Navy’s decision, assuming it is constitutional, the best course as a matter of policy?
Does this Navy’s decision interfere with Hiles’s First Amendment rights? The Navy’s actions appear to be constitutional under existing precedent. However, it is plausible that, if the matter were to be litigated, the Navy’s treatment of Hiles might be declared unconstitutional. In 1986, Simcha Goldman, an Orthodox Jew and member of the U.S. Air Force, argued that Air Force uniform regulations prohibiting head coverings indoors violated his right to free expression of religion, given his need to wear a keepah. The Supreme Court decided 5-4 in Goldman v. Weinberger that Goldman’s rights were not violated. In particular, the Court noted the long-standing deference given to the military. Thus, the burden that the Air Force had to meet was very low. The four dissenters agreed with this premise but argued that the Air Force had failed to meet the low burden of rationality needed to justify its regulation preventing a religious airman from wearing a keepah[ii]
Goldman suggests that Hiles has no case. However, the Navy’s decision with Hiles is arguably a theological decision, i.e. Messianic Judaism is not a branch of Judaism. Hiles can argue that his rights under the First Amendment’s Establishment Clause rather than his rights under the Free Expression have been violated. Arguably, the Court should give less deference to the Navy when Establishment Clause issues are concerned. However, as I will discuss shortly, the Navy’s decision is pragmatically justifiable. Thus, even if the burden the Navy would face in a hypothetical court case is greater than the Air Force’s burden in Goldman, the Navy would likely be able to meet that burden.
Does the Navy’s decision as to Mr. Hiles make sense? Tentatively, I’d say yes. The accuracy of military uniforms and the perceived accuracy of military uniforms is important to morale. There is a serious potential to damage the morale and unit cohesion of soldiers who interact with a Messianic chaplain under the mistaken impression that the chaplain is Jewish. Such confusion can reduce respect for and reliability of the chaplaincy core as a whole. This is particularly likely given the history of Messianic Jews engaging in deceptive practices and the repeated problems of proselytizing by evangelical groups in the U.S. military.
However, there is another solution which is constitutionally and pragmatically preferable. The military should give all chaplains the same, religiously neutral, symbol rather than different symbols based on religious affiliation. One obvious possibility would be simply the letter “C”, denoting that the officer is chaplain without indicating his or her religious affiliation Since most duties of chaplains are identical, this approach keeps the military from having to make essentially theological decisions about which chaplains should be treated as members of which religions. This will not solve all the First Amendment problems presented by the chaplaincy. Some of these problems, such as the necessity of allocating chaplains by religion in large military bases, may be unresolvable. However, this approach – identifying all chaplains as such without specifying on their uniforms the religions to which they belong, will eliminate the problem posed by Mr. Hiles.
Hat tip to Ed Brayton at Dispatches from the Culture Wars. Brayton’s blog entry has a long comments thread which discusses and raises some interesting points which I have not addressed here. For more information, one should also look at the entry at Jews in Green which gives further background of the Hiles incident.
[i] Although most Jews use the term “Messianic Judaism” and “Jews for Jesus” interchangeably, this is not accurate and most Messianic Jews strongly object to the grouping of the two. Jews for Jesus generally have even less Jewish content. Almost none keep kosher or keep Shabbat in any form.. Jews for Jesus also emphasizes Jewishness as an ethnic group and is much more explicit and blatant in their desire to evangelize to Jews. Jews for Jesus as an organization is a member of the World Evangelical Alliance and various other Christian evangelical organizations. As far as Jews (and almost all Christians) are concerned, Messianic Judaism and Jews for Jesus are both Christian. They both believe that Jesus is their personal lord and savior and that such belief, including the divinity of Jesus, is necessary to avoid eternal hellfire. They both believe in a standard Trinity. Thus, one should not mistakenly label the Messianics as somehow less Christian simply because the Jews for Jesus are even more blatantly evangelical.
[ii] I am simplifying the breakdown. There were 3 dissenting opinions and one concurring opinion. Also note that Goldman was subsequently overturned by legislation that "a member of the armed forces may wear an item of religious apparel while wearing the uniform" so long as the item is “neat and conservative” and does not interfere with the member’s ability to carry out his duties.
Monday, December 1, 2008
Israeli religious courts and precedent
Here is an example given recently by Rabbi Chayim Tobasky at a talk at Boston University.
Consider the following hypothetical: A man and woman who get married, have a kid and then get divorced. She goes to a beit din (religious court) for child support. The court mandates some fraction of his income go to child support (say 60%). Now, the man remarries and has three kids with the new wife. She can go back to the beit din or to another beit din and get the arrangement reapportioned so that all kids can get at least the same amount from the father. But there's one snag: contractually obligated debts take precedence over child support. That means, for example, if the man had an obligation to pay off some debt accrued jointly with the first wife, that money could not be readjusted for the second. This leads to the following question: suppose that the husband and the first wife agreed that he pay the 60% for child support as part of the divorce settlement rather than as mandated by a beit din. Does this count as child support or as a debt? Apparently, every court in Israel rules that such a contract does not count as child support except the beit din in Rechovot. The Rechovot court has been repeatedly overruled and it continues to rule the same way, knowing that, if the case is appealed, it will be overruled.
Regardless of what one thinks of the religious court system in Israel, this is no way to run a judicial system. It is at best inefficient. It needlessly turns legal disputes into even more of chess games, and places unfair burdens on people with few resources.
Thursday, October 30, 2008
The Economy, Prayer, and Idolatry
However, some Christians have recently been nice enough to make the Jews have an easier time figuring out how to treat Christianity. According to Wonkette, Christian groups have gathered at the statue of the bull at Wall Street to pray for a better economy. That's right: they are praying at a Golden Calf. Really. You can't make this sort of thing up. I have tried in the past to argue against claims that evangelical Christians are Biblically illiterate, and then they go and do something like this. Between this and Reverend Jeremiah Cumming's inability to quote basic scripture I should just give up.
Hat tip to Pharyngula for bringing this to our attention.
Thursday, May 1, 2008
National Day of Prayer and the First Amendment
Today is the National Day of Prayer.
One might be able to argue that a sufficiently ecumenical National Day of Prayer does not violate the First Amendment. However, don't worry. The National Day of Prayer is now being run to be a blatant violation of the First Amendment. See for example what is happening in Minnesota.
The entire list of attendees at the state capitol is composed of evangelical Christians. There will not even be a Catholic representative. This isn't a coincidence either. The event is run by Shirley Dobson, the wife of James Dobson who founded and runs Focus on the Family. Mrs. Dobson also runs the National Taskforce to coordinate the event. Dobson only lets people be state coordinators if they sign a statement affirming that "I believe that the Holy Bible is the inerrant Word of The Living God. I believe that Jesus Christ is the Son of God and the only One by which I can obtain salvation and have an ongoing relationship with God." The statement continues but that enough should make it apparent. This about as blatant a violation of separation of Church and State as you can get. This amounts to nothing less than active discrimination against non-evangelicals.
Have other religious groups decided to protest and maybe sue? No. That would be too sensible. Jews on First, a group that has a good attitude about the First Amendment issues is promoting a separate inclusive day of prayer. Screw that. What we need is a special day honoring the First Amendment where we can explain to everyone what the First Amendment says and explain what they can and cannot do with our tax dollars. If James Dobson and his ilk want to undermine the fundamental values of this great nation they can do so without us paying for it.
Hat tip to Pharyngula.