Yoma 44b ~ Gold

יומא מד, ב

אָמַר רַב חִסְדָּא: שִׁבְעָה זְהָבִים הֵן: זָהָב, וְזָהָב טוֹב, וּזְהַב אוֹפִיר, וְזָהָב מוּפָז, וְזָהָב שָׁחוּט, וְזָהָב סָגוּר, וּזְהַב פַּרְוַיִם. שֶׁדּוֹמֶה לְפָז. זָהָב שָׁחוּט — שֶׁנִּטְוֶה כְּחוּט. זָהָב סָגוּר — בְּשָׁעָה שֶׁנִּפְתָּח כָּל הַחֲנוּיוֹת נִסְגָּרוֹת. זְהַב פַּרְוַיִם — שֶׁדּוֹמֶה לְדַם הַפָּרִים. זָהָב וְזָהָב טוֹב, דִּכְתִיב: ״וּזְהַב הָאָרֶץ הַהִוא טוֹב״. זְהַב אוֹפִיר — דְּאָתֵי מֵאוֹפִיר. זָהָב מוּפָז —

Rav Chisda said: There are seven types of gold mentioned in the Bible: Gold, and good gold, and gold of Ophir (I Kings 10:11), and glistering gold (I Kings 10:18), and shaḥut gold (I Kings 10:17), and closed gold (I Kings 10:21), and parvayim gold (II Chronicles 3:6). The Gemara explains the reason for these names: There is a distinction between gold and good gold, as it is written in the verse: “And the gold of that land is good” (Genesis 2:12), which indicates the existence of gold of a higher quality. Gold of Ophir is gold that comes from Ophir. Glistering [mufaz] gold is so named because it resembles the luster of pearls [paz] in the way it glistens. Shaḥut gold is named as such because it is very malleable and is spun like thread [shenitve keḥut]. Shaḥut is a contraction of the words shenitve keḥut. Closed gold is so called because when a shop opens to sell it, all the other shops close, as no one is interested in purchasing any other type of gold. Parvayim gold is so called because its redness resembles the blood of bulls [parim].

רַב אָשֵׁי אָמַר: חֲמִשָּׁה הֵן, וְכל חַד וְחַד אִית בֵּיהּ זָהָב וְזָהָב טוֹב. תַּנְיָא נָמֵי הָכִי: בְּכל יוֹם הָיָה זְהָבָהּ יָרוֹק, וְהַיּוֹם אָדוֹם — וְהַיְינוּ זְהַב פַּרְוַיִם שֶׁדּוֹמֶה לְדַם הַפָּרִים

Rav Ashi said: There are in fact only five types of gold, the last five in Rav Chisda’s list. Gold and good gold are not independent categories; rather, each and every one of the types of gold has two varieties: Regular gold and a superior variety called good gold. That was also taught in a baraita with regard to parvayim gold: On every other day the coal pan was made of greenish gold, but on this day it was made of a red gold, and this is the parvayim gold which resembles the blood of bulls.

Illustration drawn for Talmudology by Yosef Itzkowitz (www.yosefpaper.com)

Not all Gold is “gold”

We usually think of gold as being the color of, well, gold. But that’s not its only color. While pure gold is a sort of reddish yellow, gold alloys vary in color depending on the proportion of the other metals that are found in it. (An alloy is a mixture of two or more different metal elements.) So an alloy of gold and copper will be more red, while an alloy of gold and silver (or gold and other metals like nickel or palladium) will give a white looking gold. You can see how this works in the figure below:

In addition, the purity of gold is measured in karats (also spelled carats, but certainly not carrots), where each karat is 1/24 (or 4.1667%) part of pure gold. Sixteen karat gold means that it is an alloy in which 16 parts are gold and 8 parts are another. Pure gold is, by definition, free of other metals and is therefore 24-karat (ie 24 parts out of 24) gold.

Where does “Parvayim Gold” come from?

Recent evidence suggests that gold is formed by the massive collision of neutron stars. “Every element on the periodic table heavier than bismuth…is forged by the rapid-process in these most extreme stellar surfaces” wrote the cosmochemist Tim Gregory in his recent book Meteorite (p.168). “This includes some of your most highly prized substances like …silver, platinum and gold.” This gold was incorporated into the earth’s mantle when the planet was being formed, and was incorporated with other metals, which is why different kinds of gold alloys may be extracted from different mines.

It is this feature that Rav Chisda and Rav Ashi were highlighting in today’s page of Talmud. Shauhut gold (זָהָב שָׁחוּט) which Rav Chisda noted to be so malleable that it could be “spun like a thread” (נִּטְוֶה כְּחוּט) was likely almost pure gold (i.e. 24 carat). Today, gold can be made into a thin sheet known as gold leaf that is an astonishing four to five millionths of an inch in thickness (0.1 to 0.125 millionths of a meter or micrometers, µm). And the “spinning into a thread” that Rav Chisda mentioned? Today it is possible to spin gold into a thread that is just one atom thick. One atom. Think about that.

Another kind of gold mentioned by Rav Chisda is Parvayim gold which was a red color that “resembled the blood of bulls” (שֶׁדּוֹמֶה לְדַם הַפָּרִים). This gold was likely an alloy with a high content of copper, (found towards the bottom right of the triangle above).

The Medicinal Qualities of Gold

The Jewish physician Abraham Portaleone was born in Mantua in 1541, and is best known for his work Shilte Hagibborim [Shields of the Mighty], in which he sought to identify the precise ingredients of the Temple incense mentioned in the famous talmudic passage called Pittum Haketoret (Grinding of the Spices). Portaleone was also very interested in pharmacology, and authored a Latin text De Auro Dialogi Tres (Three Dialogues on the Application of Gold in Medicine) about the possibilities of a medical use of gold “a topic halfway between alchemy and medical studies that still created heated scientific debate.” Here is the assessment of historian Alessandro Guetta in his 2014 work on the history of Italian Jewry:

Contemporary medical authorities were divided into two camps on this: those who denied gold’s powers and those convinced of them. Portaleone’s position lay midway between the two. In his view, the hypothesis that gold had powerful medicinal properties was true; nevertheless, it remained a mere hypothesis, since such properties do not reside within gold as we know it …but in its quintessence, a substance perfectly pure and balanced in composition. In truth, nobody had yet succeeded in extracting this essence…consequently, the long list of healings that ancient and modern doctors had attributed to attributed to the ingestion of “common gold” mixed with water or wine was the fruit of ignorance and charlatanism. As for gold’s capacity to cauterize wounds, it has this in common with many other metals with the same characteristics.

We are now some four centuries after Abraham Portaleone wrote his book about gold. And it is indeed now true that gold can be used as a medicine. Aurotherapy is used to treat some kinds of inflammatory diseases like rheumatoid arthritis, and may have a role to play in the treatment of some cancers and as an agent to improve wound healing. So to add to the Talmudic categorization of gold based on its color and malleability, we can now thankfully add another: how useful it is in treating disease.

Yoma 43a ~ Androgyny and the Fluidity of Gender

The Torah proscribes a series of steps required to render a person spiritually pure. One of those steps (Numbers 19:17) is to pour spring water on the ashes of a sacrificed animal. But who is qualified to do the pouring? The Talmud cites a Mishnah (Parah 5:4) that tells us:

יומא מג, א

מֵיתִיבִי: הַכֹּל כְּשֵׁרִין לְהַזּוֹת, חוּץ מִטּוּמְטוּם וְאַנְדְּרוֹגִינוֹס וְאִשָּׁה. וְקָטָן (שֶׁיֵּשׁ) בּוֹ דַּעַת, אִשָּׁה מְסַיַּעְתּוֹ וּמַזֶּה.

Everyone is qualified to sprinkle the purification waters, except for a person whose sexual organs are concealed [tumtum], and a hermaphrodite [androginus], and a woman. And concerning a minor who has a basic level of intelligence, a woman may assist him and he sprinkles the purification waters.

Today we will explore the nature of these two mysterious categories known as the tumtum and the androginus. We also posted this about a year ago while studying Shabbat, but hey, lots of people have subscribed to Talmudology since then, and be honest, can you recall that post in detail? No? Then read on…

The tumtum is a person whose genitalia are somehow hidden or covered, so that it is not known if they are male or female. In contrast, the genitalia of the androgyne (an ancient Greek word formed from ἀνδρός  andros - “man” and γυνή gune, - “woman”) are in plain sight. It just isn’t clear whether they are male or female organs. The two are mentioned on at least twenty-three pages of the Babylonian Talmud, and in no fewer than nine halachot in the Jerusalem Talmud, so let’s figure out what, from a medical perspective, they are.

The Tumtum

There is no ambiguity about the gender of a tumtum. We just need to get a glimpse of the genitals. (The eleventh century dictionary known as the Aruch connects the word tumtum with the word atum (אטום), meaning sealed.) The problem is that the genitals are covered by what is usually described as skin. Once this cover is surgically opened, the gender will be revealed. In fact according to Rav Ammi (Yevamot 64a), both Abraham and Sarah were each a tumtum. Yes, you read that correctly. Each had genitalia that were hidden. Rav Ammi suggests this as an explanation as to why the couple were infertile for so many years. Once the covering had been removed the couple could then procreate as normal, and along came Isaac.

אמר רבי אמי אברהם ושרה טומטמין היו שנאמר (ישעיהו נא, א) הביטו אל צור חוצבתם ואל מקבת בור נוקרתם וכתיב (ישעיהו נא, ב) הביטו אל אברהם אביכם ואל שרה תחוללכם

Rabbi Ami said: Abraham and Sarah were originally tumtumin, as it is stated: “Look to the rock from where you were hewn, and to the hole of the pit from where you were dug” (Isaiah 51:1), and it is written in the next verse: “Look to Abraham your father and to Sarah who bore you” (Isaiah 51:2),

רשי:

חוצבתם - נעשה לו זכרות: “Hewn”: He was made into a male

נוקרתם - נעשה לה נקבות : “From where you were dug” which made here a female

Urologists have yet to identify this syndrome.

The Androgyne

In 1797 the physician James Parsons, published a book which he dedicated to the Royal Society of London, of which he was a Fellow: “ A Mechanical and Critical Inquiry into the Nature of Hermaphrodites.” Parsons noted that the Romans “had laws made against their Androgyni [which were] remarkably severe; for whensoever a child was reputed one of these, his sentence was to be shut up in a chest alive, and thrown into the sea…

Parsons was not only well-read in Roman law; he cited the fourth chapter of the Mishnah in Bikkurim, which contains a list of the ways in which the androgne sometimes resembles a man, and sometimes a woman:

ביכורים פרק ד

כֵּיצַד שָׁוֶה לַאֲנָשִׁים: מְטַמֵּא בְּלֹבֶן כַּאֲנָשִׁים, וְזוֹקֵק לְיִבּוּם כַּאֲנָשִׁים, וּמִתְעַטֵּף וּמִסְתַּפֵּר כַּאֲנָשִׁים, וְנוֹשֵׂא אֲבָל לֹא נִשָּׂא כַּאֲנָשִׁים, וְחַיָּב בְּכָל מִצְוֹת הָאֲמוּרוֹת בַּתּוֹרָה כַּאֲנָשִׁים:

In what ways is the andogyne like men?…He dresses like men; He can take a wife but not be taken as a wife, like men. [When he is born] his mother counts the blood of purification, like men; He may not be secluded with women, like men. He is not maintained with the daughters, like men…And he must perform all the commandments of the Torah, like men.

כֵּיצַד שָׁוֶה לַנָּשִׁים: מְטַמֵּא בְּאֹדֶם כַּנָּשִׁים, וְאֵינוֹ מִתְיַחֵד עִם הָאֲנָשִׁים כַּנָּשִׁים, וְאֵינוֹ עוֹבֵר עַל "בַּל תַּקִּיף" וְלֹא עַל "בַּל תַּשְׁחִית" וְלֹא עַל "בַּל תְּטַמֵּא לַמֵּתִים" כַּנָּשִׁים, וּפָסוּל מִן הָעֵדוּת כַּנָּשִׁים, וְאֵינוֹ נִבְעַל בַּעֲבֵירָה כַּנָּשִׁים, וְנִפְסַל מִן הַכְּהֻנָּה כַּנָּשִׁים:

And in what ways is he like women?… he must not be secluded with men, like women; And he doesn’t make his brother’s wife liable for yibbum (levirate marriage); And he does not share [in the inheritance] with the sons, like women; And he cannot eat most holy sacrifices, like women…. he is disqualified from being a witness, like women…

The Androgyne & Congenital Adrenal Hyperplasia

Ambiguous genitalia in neonates. From here.

One of the most common causes of androgyny is congenital adrenal hyperplasia (CAH), caused by a mutation in the CYP21 gene. The adrenal glands, which sits atop the kidneys, are where the action takes place. They produce androgens, which are then converted into the potent sex hormone testosterone. In most (95%) cases of CAH, there is a deficiency of the enzyme 21-hydroxylase. As a result, the adrenal glands produce excessive amounts of the virilizing hormone androgen. (It also causes severe salt wasting, which can be very dangerous, but we are not getting into that now. And there are different severities of the syndrome, but you’ve got a limited attention span, so we will keep it simple.) This excessive androgen production does very little in (XY) males; their genitalia look normal. But in genetic (XX) baby girls the androgens affect the external genitalia and they may become ambiguous: the clitoris becomes enlarged, sometimes to the degree that it resembles a penis. In very severe cases the baby girl has what appears to be an empty scrotum, and may be raised as a boy, all the while being an XX girl with CAH.

Today all newborns are screened for 21-hydroxylase. The deficiency can be treated with hormone replacement, and the genital ambiguity may be corrected, although this latter intervention has, over the last decades, become very controversial.

“Anecdotally, in the Western world most [intersex] babies were raised as female because the genitalia were easier to reconstruct... clinical experience suggests that cultural factors are very influential. This may be no bad thing as there is no ‘right’ medical answer and the child will have to grow up in the community into which it is born.”

— Woodhouse, C.R.J. Intersex Surgery in the Adult. BJU International 2004. 93 (3): 57-65

The androgyne and the hermaphrodite

James Parsons, A Mechanical and Critical Inquiry into the Nature of Hermaphrodites. London 1797. p85.

The Soncino Talmud identifies the androgyne as a hermaphrodite, that is, a person with both male and female genitalia. So does Goldschmidt’s German translation (“der zwitter”). Cases of true hermaphroditism are extremely rare, and there are only a few scattered case reports in the medical literature. (You can read one reported from Sheba Hospital in Tel Aviv here.) Rather than there being two sets, in these cases the genitalia are ambiguous, and although they have both ovarian and testicular tissue the scrotum does not always contain testes.

Alice Dreger, formerly a Professor of Medical Humanities and Bioethics at Northwestern University, (it’s complicated) wrote a terrific (and controversial) book that tackles some of the issues facing intersex people - those who were once called hermaphrodites. In the past, when faced these difficult cases of intersex or ambiguous genders, clinicians focused on what she calls a “gonadal division.” (Since biopsies and genetic sequencing were not available to the rabbis of the Talmud, they, like clinicians, focused on this gonadal division, for what else could they do?) But, she notes,

a system that emphasizes gonadal anatomy above all else suffers from two major deficits. First, it is scientifically questionable, because it relies on the anatomy of the gonads (functioning or not) more than any other considerations. Second, it provides little clinical help, often confusing and harming the patient, and sometimes also the physician.

Instead, she advocates for a description based on etiology and the patient’s needs. “Such an approach would have the salutary effects of improving patient and physician understanding and reducing the biases that are inherent in the use of the current language of 'hermaphroditism'.”

“True hermaphrodites: defined as presenting at least one ovary and at least one testis, or at least one ovotestis...The scientific understanding of sexual development has progressed tremendously in the last 125 years, but the existing taxonomy does not reflect that progress. Scientists and clinicians now recognize that the structure of the gonads does not correlate simply with genotype, phenotype, physiology, diagnosis, or gender identity. The anatomy of testicular tissue in women with androgen insensitivity syndrome (AIS) is quite similar to the anatomy of testicular tissue in non- intersex males, yet their physiologies, phenotypes and gender identities differ markedly.”

— Dreger, A, et al. Changing the Nomenclature/Taxonomy for Intersex. Journal of Pediatric Endocrinology & Metabolism 2005. 18, 729-733

The many Shades of Gender

We are used to think that when an egg carrying an X chromosome meets a sperm carrying an X or Y chromosome, one of two things will happen: a genetic female (46XX) or a genetic male (46XY) with genitalia to match. But in fact it is way more complicated than that. We know that there are at least 14 genes involved in the process of sexual differentiation, and many more will likely be discovered. A mutation or malfunction of any of these has a dramatic effect on the process of gender differentiation. For example if there is a defect in the enzymes involved in producing testosterone, there may be ambiguous external genitalia; deficiency of the enzyme 5α-reductase results in variable degrees of under-masculinized external genitalia and genital ambiguity; individuals with partial androgen insensitivity syndrome may also have ambiguous genitalia, and there is no consensus regarding an optimal sex of rearing them; and newborns with congenital adrenal hyperplasia, may have male appearing genitalia while all the time being 46XX.

We have previously noted the strange effects of yet gene discovered in the 1980s. This sex-determining gene on a tiny bit of the male Y chromosome is called the sry gene. That gene tells the body to develop into a male or female appearing body. Sometimes the sry gene sneaks off of the Y gene and makes its way into the DNA of an XX female. As a result, she will develop male anatomy while genetically remaining an XX female. (Please read that sentence again, just to be sure you have understood it.) And sometimes the sry gene on an XY genetic male can mutate and not work. In that case, the genetic male appears to have the organs of a female, which is what occurs in Swyer syndrome. (You can hear more about the amazing sex-changing effects of sry in this fascinating podcast.)

And then there is the small community in the Dominican Republic where there have been a number of cases in which little girls grow a penis and turn into little boys. These observations were first reported to the scientific community in 1974, and are caused by a deficiency of the steroid 5α-reductase. Here is how the BBC explained what is going on when they reported about it in 2015.

When you are conceived you normally have a pair of X chromosomes if you are to become a girl and a set of XY chromosomes if you are destined to be male. For the first weeks of life in womb you are neither…Then, around eight weeks after conception, the sex hormones kick in. If you're genetically male the Y chromosome instructs your gonads to become testicles and sends testosterone to a structure called the tubercle, where it is converted into a more potent hormone called dihydro-testosterone. This in turn transforms the tubercle into a penis. If you're female and you don't make dihydro-testosterone then your tubercle becomes a clitoris…the reason [some genetic males] don't have male genitalia when they are born is because they are deficient in an enzyme called 5-alpha-reductase, which normally converts testosterone into dihydro-testosterone.

So the boys, despite having an XY chromosome, appear female when they are born. At puberty, like other boys, they get a second surge of testosterone. This time the body does respond and they sprout muscles, testes and a penis.

So gender identity is very complicated. James Parsons, that physician who wrote the book on hermaphrodites in 1797 tackled some of the difficult questions that were addressed in Mishnah Bikkurim: can a hermaphrodite get married? (yes, but to which gender varies by case); can they be a witness? (only if the “predominating sex” is male); can they be ordained as a minister? (no); The rabbis were puzzled as to the “true” gender of the androgyne, and so classified them as sometimes male, and sometimes female. It was the best they could do at the time, and Parsons, writing 1,500 years later did the same. Thanks to modern medicine we have learned why these intersex cases occur, but as a society we have still a long way to go to help make their lives easier.

Shavuot Redux~ How Many Letters are in a Sefer Torah?

In honor of shavuot that celebrates the giving of the torah, a repost from the talmudology archives.

קידושין ל, א

לפיכך נקראו ראשונים סופרים, שהיו סופרים כל האותיות שבתורה, שהיו אומרים: וא"ו דגחון חציין של אותיות של ספר תורה, דרש דרש  חציין  של תיבות, והתגלח של פסוקים

Therefore the early sages were called "counters" - soferim - because they counted all the letters of the Torah. They used to say: the letter vav of the word Gachon (Lev.11:42) is the half-way point of the letter of a Torah. The words "darosh darash" (Lev. 10:16) represent the half way point of the number of words in the Torah. The verse that begins with the word "Vehitgalach" (Lev.13:33) is the half way point of the number of verses in the Torah...

This page of Talmud covers some important material for those interested in the way in which Judaism and science interact.   The business of counting the letters in the Torah was apparently taken very seriously - so much so that one of the names by which the rabbis of the Talmud were known  - soferim - means "those who count."  To this day, the person who handwrites a Sefer Torah is called a counter (סופר), and not a writer (כותב). The Talmud emphasizes that this counting exercise was taken so seriously that the letters, words and verses were counted, and counted again. 

קידושין ל, א

בעי רב יוסף וא"ו דגחון מהאי גיסא או מהאי גיסא א"ל ניתי ס"ת ואימנינהו מי לא אמר רבה בר בר חנה לא זזו משם עד שהביאו ספר תורה ומנאום

Rav Yosef asked a question: This letter vav of the word Gachon, is it part of the first half or part of the second half of the letters of the Torah? They said to him, "let us bring a Torah scroll and count! For didn't Rabbah bar bar Channah say in a similar context: "They did not move from there until they brought a Torah scroll and counted all its letters"...

The View of Tradition, And OF the Journal Tradition

Writing in Tradition in 1964, the late scholar Louis Rabinowitz (d. 1984) asked how Orthodox Jews should regard the text of the Torah , "...upon which depends the whole enduring magnificent structure of the Oral Law and the Halakhah, in comparison with those texts which show variants from it?"  Here is his reply:

“The answer is surely simple and logical. “The early scholars were called Soferim,” declares the Talmud (Kid. 30a) “because they were wont to count (soferim) all the letters of the Torah.” The meticulous manner in which they carried out this task is sufficiently indicated in the same passage by the information which it elicited to the effect, for instance, that the vav of gachon (Lev. 9:42 - [sic]) marks the half-way mark of the letters of the Torah, the words darosh darash of Lev. 10:16 the dividing line between the words...


With what loving care and sacred devotion, then, did they jealously guard every letter of the text! What exhaustive and detailed regulations they laid down in order to ensure that the copying of the scrolls should be completely free from human error! There has been nothing like it in the history of literature or religion, and in this respect the Massoretic text stands indisputably in a class by itself.”

— Louis Rabinowitz. Torah Min Ha-Shamayim.Tradition: A Journal of Orthodox Jewish Thought, 1964-5: 7;1: 34-45

Leaving aside the ironic typographic error that mis-references the location of the vav of Gachon, was the late rabbi Rabinowitz correct in remarking on the "loving care and sacred devotion," with which "they jealously guard every letter of the text"?

So how many letters are there in a Torah?

There are varied counts given for the number of letters in the Torah, but a couple of results seem to be most popular.

• 304, 805 From here, and here and here, and from Even-Shoshan (see below).

• 304,801 From here.

One website shares the source code used to count the words and letters in Torah; its results are shown below, and are off by four when compared to others who claim to have counted.

Letters and Words in the Torah
	Words	Lettlers
בראשית	20,614	78,063
שמות	16,714	63,527
ויקרא	11,950	44,790
במדבר	16,408	63,529
דברים	14,295	54,892
TOTAL	79,981	304,801

And How Many Verses Are There?

The same website gives a count of 5,844 verses in the Torah.  Rabbi Yair Chaim ben Moses Bachrach (d. 1702), author of the Chavot Ya'ir, notes that there are 5,845 verses in the chumashim he used. But today's daf of Talmud records that there are 5,888 verses. And here is the count from Even-Shoshan's קונקורדנציה חדשה (New Concordance of the Bible):

From Even-Shoshan (ed.) A New Concordance of the Bible. Kiryat Sefer, Jerusalem 1987.

Side-Bar: From Where did Even-SHoshan Get his word count?

Even-Shoshan lists his reference as Rabbi Chaim Mordechai Brecher, who published a Yiddish translation of the entire Hebrew Bible. (Brecher was born in what is now the Ukraine in 1880 and died in New York in 1965.  His Yiddish translation was published in New York in 1941, and was republished six times, the last in 1957.)  At the end of the second volume of his translation (p. נא), R. Brecher addressed the thorny question of the letter and word counts in our Torahs, and had this to say:

The truth is, this [question of how many words there are in a Sefer Torah] is astonishing, and I couldn't rest because of it. So I decided to count them, and I, myself, counted all the words in the entire Torah. In order to make it clear to the reader that I didn't make a mistake in my count, I am here providing a list of all the verses in all the chapters as they are currently divided...My count is correct. As the ancient wise men say: Love Plato, love Aristotle, and love the truth most of all.

R. Brecher's total word count is 79,976 (although this count actually comes from here) - and so his half way point in the Torah is word #39,988. 

The Misplaced Middle of the Torah

Now back to today's page of Talmud. According to it, the middle letter of the Torah is the Vav of the word Gachon, (גחון) found in פרשת שמיני. However this claim is way off. Since there are about 304,805 letters in the Torah scrolls in use today, (I say about because of what we have just noted regarding the precise count,) the middle letter would be letter # 152,403, the first word of this verse (Lev 8.29):

ויקרא פרק ח פסוק כט 

ויקח משה את החזה ויניפהו תנופה לפני יקוק מאיל המלאים למשה היה למנה כאשר צוה יהו–ה את משה 

However the Vav of the word Gichon, is letter #157,236 - off by 4,833 letters. Oy.

It's no better regarding the words. If we go with the actual word count as being 79,980, then the middle words are # 39,990 and #39,991. These are the words יצק אל in verse below (Lev. 8:18):

ויקרא פרק ח פסוק טו 

וישחט ויקח משה את הדם ויתן על קרנות המזבח סביב באצבעו ויחטא את המזבח ואת הדם יצק אל יסוד המזבח ויקדשהו לכפר עליו

But the middle words of the Torah, according to Today's daf, are דרש דרש found over 900 words later (Lev.10:16):

ויקרא פרק י פסוק טז 

ואת שעיר החטאת דרש דרש משה והנה שרף ויקצף על אלעזר ועל איתמר בני אהרן הנותרם לאמר

That's a lot of letters to miscount, especially if your name is "the counter." Several suggestions have been made to address these discrepancies:

1.  The text of the Torah that the rabbis of the Talmud were using was significantly different to the one we use today.  This is possible, but then why does the Talmud never cite of any of these extra words and verses? The discrepant count is about 3% - that's a lot of missing text.

2.  The rabbis in the Talmud were not good at math. Again, possible, but the Talmud claims that they took the counting so seriously that they were called COUNTERS. It also claims that they undertook the counting exercise on several different occasions.  Were they really that bad at math?

3. The rabbis in the Talmud didn't mean this count to be taken literally. While many apologists like this answer, it is at total odds with the text. The Talmud states: they counted.

4.  The rabbis guesstimated the count. Perhaps the rabbis never really counted, but guessed at where the middle of the Torah lay: somewhere in the middle of the middle of the Five Books. After that, the letter vav of the word Gachon became the official midpoint, even though it was not accurate.  The problem with this suggestion is again, that the Talmud states that the soferim actually counted, and counted again. Not that they guessed, and guessed again.  

Science, Math and Judaism

Of all the scientific disciplines, it is mathematics that is first introduced to us. We teach toddlers to count, sometimes before they can even walk, and we all pursue some kind of mathematical training through high school.  Unlike medicine or physics or biology or astronomy, mathematics is something we all do, to some degree.  And we all understand what counting means.  This passage in the Talmud is the most readily understandable example of a conflict between science and Judaism. It is a conflict in which the basic text of rabbinic Judaism declares a fact that is, well, just not a fact. Some  find this conflict to be so intellectually troubling that their only path is to reject Jewish practice. Others, equally aware of the conflict, are comfortable with their intellectual position in which the scientific inaccuracies of the Talmud require no wholesale rejection of Jewish practice. Where do you fit on this spectrum, and, perhaps more importantly, what can you do to engage in a respectful dialogue with those whose opinions on these matters are not your own?

May you be blessed with a meaningful Shavuot,

and may Israel and her neighbors know only peace.

Yoma 34b~ Knives and Quenching

The Cohen Gadol (High Priest) had to take several ritual dips into a pool of water known as a mikveh. But the water was rather cold, and the Mishnah describes how it was warmed:

משנה יומא לא, ב

אִם הָיָה כֹּהֵן גָּדוֹל זָקֵן אוֹ אִיסְטְנִיס מְחַמִּין לוֹ חַמִּין, וּמְטִילִין לְתוֹךְ הַצּוֹנֵן כְּדֵי שֶׁתָּפִיג צִינָּתָן

With regard to the immersion, if the High Priest was old and found it difficult to immerse in cold water, or if he was delicate [istenis], they would heat hot water for him on Yom Kippur eve and place it into the cold water of the ritual bath in order to temper its chill so the High Priest could immerse without discomfort.

Today’s page of Talmud elaborates on this process of warning up the ritual bath:

יומא לג,ב

תַּנְיָא, אָמַר רַבִּי יְהוּדָה: עֲשָׁשִׁיּוֹת שֶׁל בַּרְזֶל הָיוּ מְחַמִּין מֵעֶרֶב יוֹם הַכִּפּוּרִים וּמְטִילִין לְתוֹךְ צוֹנֵן, כְּדֵי שֶׁתָּפִיג צִינָּתָן. וַהֲלֹא מְצָרֵף! אָמַר רַב בִּיבִי: שֶׁלֹּא הִגִּיעַ לְצֵירוּף. אַבָּיֵי אָמַר: אֲפִילּוּ תֵּימָא שֶׁהִגִּיעַ לְצֵירוּף — דָּבָר שֶׁאֵין מִתְכַּוֵּין מוּתָּר

It was taught in a baraita that Rabbi Yehuda said: They would heat blocks of iron on Yom Kippur eve and cast them into the cold water of the ritual bath to temper its chill. The Gemara asks: But by doing so, doesn’t he harden the iron, [which is a labor prohibited on Yom Kippur]? Rav Bibi said: The temperature of the blocks of iron did not reach the hardening point. Abaye said: Even if you say that the temperature of the iron reached the hardening point, the fact that the iron hardened when he placed it in the water is an unintentional act, which is permitted. [His intention was to temper the chill of the water, not to harden the iron.]

This process of hardening hot iron by rapidly cooling it is called quenching. And that is our topic for today.

Why is Iron Quenched?

The quick answer is that when it is rapidly cooled, steel (which is an alloy of iron) is transformed into something called martensite. The rapid cooling, which can be in water or oil or even cold air, locks the carbon atoms into place alongside the iron, forming a supersaturated alloy that is much harder than ordinary steel. But for the transformation to take place the steel needs to be hot enough. As John D. Verhoeven points out in his useful (but expensive) book Steel Metallurgy for the Non-Metallurgist, not much happens to the structure when steel is below about 300F (~150C). For the steel to actually be strengthened, it is often heated to over 1,110F (540C). This is what Rav Bibi was referencing when he mentioned “the hardening point.”

A Quick History of Quenching

One of the earliest references to smelting and blacksmithing comes from the opening chapters of our Bible (Gen. 4:22):

וְצִלָּ֣ה גַם־הִ֗וא יָֽלְדָה֙ אֶת־תּ֣וּבַל קַ֔יִן לֹטֵ֕שׁ כָּל־חֹרֵ֥שׁ נְחֹ֖שֶׁת וּבַרְזֶ֑ל וַֽאֲח֥וֹת תּֽוּבַל־קַ֖יִן נַֽעֲמָֽה׃

As for Zillah, she bore Tubal-cain, who forged all implements of copper and iron. And the sister of Tubal-cain was Naamah.

So it was Tubal-Cain who, according to the Torah, was the archetypal father of all things smelting. Archeologists are not sure where or when steel was created, but it was certainly described in the poems of Homer from around the eighth century BCE:

And as when a smith dips a great axe or an adze in cold water amid loud hissing to temper it—for therefrom comes the strength of iron—even so did his eye hiss round the stake of olive-wood.

But as D. Scott Mackenize noted in his helpful article published in 2007 in Advanced Materials and Processes, the advances in metallurgical technology were located in the Arab World, India, China and Japan. By 500 BCE steel was being produced on a large scale in India. The Crusaders, he wrote, had no steel that was the equal of Islamic metallurgy. One writer from the Crusades described the the quality of a Damascus blade like this: “One blow of a Damascus sword would cleave a European helmet without turning the edge, or cut through a silk handkerchief drawn across it.”

The Italian scholar Giambattista della Porta (ca. 1535-1615) in his books Natural Magic described the temperatures of steel to be quenched:

“When the iron is sparkling red hot, that it can not be hotter, that it twinkles, they call it Silver; and then it must not be quenched, for it would be consumed. But if it be of a yellow or red color, they call it Gold or Rose color; and then quenched in Liquors, it grows harder. This color requires them to quench it. But observe that if all the Iron be tempered, the colour must be blue or violet color, as the edge of a Sword, Razor, or Lancet; for observe the second colors; namely, when the iron is quenched, and so plunged in, grows hard. The last is Ash color; and after this if it be quenched, it will be the least of all made hard.”

Mackenzie noted that his was a critical observation. “He indicates a critical range for quenching, based on the colors of the heated steel. Only when the steel is rose or yellow will the steel be hardened properly. Further, the observation of tempering colors was indicated… it led Della Porta to realize the advantages of the two-stage quench over a direct quench, and reject some of the more exotic quenching baths that was cited in earlier metallurgical literature.

One French traveller to Istanbul at the end of the nineteenth century made this observation:

"...Steel is iron, mixed with charcoal. In Damascus, 10-12 kilograms of iron was required for making one sword blade. Craftsmen mixed this ore with charcoal dust, melted it again and again, until it came to a consistency of their mind.

...Now it was required to quench it in order to give it the necessary strength, and that was the interesting point of the procedure: Europeans quench the steel in water, vegetable oil, or cattle fat, but in the East they were doing it on air. When the craftsmen were done with the processing of the metal, they heated it until totally red, and gave it to a cavalry man waiting on his horse, ready for a ride. The cavalry man rode his horse in the wilderness, waving the blade in the air with crazy screams to make his horse ride faster."

This page of Talmud reminds us that sometimes the sages of the Talmud were keenly knowledgable about manufacturing processes. Rav Bibi knew a thing or two about how to quench steel, and as a result the Cohen Gadol had a warmer dip in the mikveh on Yom Kippur.

“From the earliest times, at the beginning of the Iron Age, quenching has played an important role in the growth of civilization throughout the World. .. While much of the empirical technology developed was used to increase the effectiveness of swords, knives and armor, there has been a technology transfer to other devices important to the arriving Industrial Age. Today, there is a firm grasp on heat treatment, and the mechanism of quenching, enabling special quenchants to be tailored to specific application. It was these original philosophers, alchemists and blacksmiths that are the foundation of the Science and Art of Metallurgy today.”

— D. Scott Mackenzie. History of Quenching. Advanced Materials and Processes, January 2007