Eruvin 18a ~ Adam's Tail and the the Recapitulation of Phylogeny

On today’s page of Talmud we read the following:

כְּתִיב: ״וַיִּבֶן ה׳ אֱלֹהִים אֶת הַצֵּלָע וְגוֹ׳״, רַב וּשְׁמוּאֵל: חַד אָמַר פַּרְצוּף, וְחַד אָמַר זָנָב 

 it is written: “And the tzela, which the Lord, God, had taken from the man, He made a woman, and brought her unto the man” (Genesis 2:22). Rav and Shmuel disagree over the meaning of the word tzela: One said: It means a female face, from which God created Eve; and one said: Adam was created with a tail [zanav], which God removed from him and from which He created Eve.

The Talmud then investigates how the claim that Adam was created with a tail can be supported from the text of the Bible, and it is a discussion that need not concern us here. But Tosafot actually takes the time to consider which of the two explanations of the word tzela is correct, and concludes that it is the opinion that Primordial Man was indeed created with a tail, from which Primordial Eve was created.

The suggestion that for a time, Primordial Man had a tail is actually well known to those who study embryology and human development. To understand why, we need to take a detour into the thought of a German named Ernst Haeckel (1834-1919) who, at least according to Wikipedia, was a “zoologist, naturalist, eugenicist, philosopher, physician, professor, marine biologist, and artist.”

Ernst Haeckel - A warning

Before we go any further, we must point out that Haeckel was a social Darwinist, and an advocate of scientific racism. He believed that some human races were inferior to others, as this sample from his book The Wonder of Life makes abundantly clear:

These lower races (such as the Veddahs or the Australian negroes) are psychologically nearer to the mammals (apes or dogs) than to civilized Europeans; we must therefore assign a totally different value to their lives.

The fact that Haeckel thought that the Jews were located “at the same highly developed level as the Germans and within the same species” should not comfort us. Scientific racism is malodorous and to be fought at every turn, regardless of which race or group are claimed to be at the top. We, of all peoples, should know this to be true. So to quote Haeckel in a post about the Talmud might be just too distasteful for some. If this resonates with you, please read no further, and join us again for the next post, which will discuss telescopes. But if you can hold your nose for a while, read on and see why Haeckel springs to mind when learning that Adam was created with a tail.

[Haeckel’s] evolutionary racism; his call to the German people for racial purity and unflinching devotion to a ‘just’ state; his belief that harsh, inexorable laws of evolution ruled human civilization and nature alike, conferring upon favored races the right to dominate others ... all contributed to the rise of Nazism
— Stephen J. Gould . Ontogeny and Phylogeny. Harvard University Press 1977. 77.

Ontogeny Recapitulates Phylogeny

Haeckel’s contribution to science was his suggestion (now largely discredited or re-interpreted) that “ontogeny recapitulates phylogeny.” Ontogeny is the study of the organization and development of an organism; phylogeny is the study of how a species evolves. The meaning of this phrase boils down to this: as an organism grows inside the womb, or the egg or whatever, it goes through stages that mimic the previous development of its species over millions of years. The theory was especially pertinent to higher animals, like mammals, which, so the claim goes, go through embryological stages analogous to the adult stages of organisms from those species in its evolutionary history.

Haeckel believed that when you look very closely at the development of a human embryo, there are several stages in which it appears to have more in common with a fish, a species thought to have been ancestors of humans. His textbooks contained illustrations of this principal, like this one:

TOP LEFT: Dog (left) and human (right) embryos at 4weeksTOP RIGHT: Dog (left) at six weeks, human (right) at eight weeks.BOTTOM RIGHT:  Turtle (right) at six weeks, dog (left) at eight weeks.From Haeckel, E.

TOP LEFT: Dog (left) and human (right) embryos at 4weeks

TOP RIGHT: Dog (left) at six weeks, human (right) at eight weeks.

BOTTOM RIGHT: Turtle (right) at six weeks, dog (left) at eight weeks.

From Haeckel, E.

As you can see from the illustration, the dog and the human embryo resemble one another in the early stages of development, tails and all. Haeckel also observed that during a period of its development, the human embryo temporarily has slits on the sides of its neck, which resemble fish gills. This was an echo, he claimed, of our origins from fish.

Adam and his tail

So if Adam was created with a tail (as indeed Tosafot rules to be the case), does this lend support to the suggestion that ontogeny recapitulates phylogeny? Might the tail of the human embryo be an echo of this distant past in the Garden of Eden?

No. First, the creation story told in the opening of the Torah cannot be easily reconciled with the scientific understanding of human evolution. They are two different domains, and for every example where the order of creation seems to foreshadow what we now understand to be the story of the creation of the universe, there are many more examples that simply cannot be reconciled with our scientific understanding of how we got here. The great Rabbi Shimshon Raphael Hirsch (d. 1888) wrote that “it is not the aim of the Holy Scriptures to teach us astronomy, cosmogony or physics, but only to guide man to the fulfillment of his life’s task within the framework of the constellation of his existence.” To his list of things that the Torah does not teach us about, we should add evolution.

But there is a second reason why Adam’s tail cannot be found in the developing human embryo. It is because Haeckel seems to have been not altogether accurate in how he depicted the stages of development. Some have accused him of outright deception, while others more generously blame the poor equipment with which Haeckel had to work.

True human tails are rarely encountered in medicine. At the time when Darwin’s theory of evolution was a matter of debate, hundreds of dubious cases were reported. The presence of a tail in a human being was considered by evolutionists as an example that “ontogeny recapitulates phylogeny.” As the discussions on Darwin’s theory subsided, so did the reports on this interesting feature. A recent review summarized 33 cases of patients with a bona fide tail.
— Speigelman R. et al. The human tail: a benign stigma. J Neurosurg 63:461-462, 1985.

But humans do sometimes have tails

Sometimes babies are born with a defect that resembles a tail. Here, for example, is a photo from a 1985 case reported from the Department of Neurosurgery at The Chaim Sheba Medical Center and The Sackler School of Medicine in Israel.

From Speigelman R. et al. The human tail: a benign stigma. J Neurosurg 63:461-462, 1985.

From Speigelman R. et al. The human tail: a benign stigma. J Neurosurg 63:461-462, 1985.

The “tail” on this baby, and on others reported, contained no bones or vestigial spinal cord. It was largely made up of fatty (adipose) tissue, and did not connect to the spinal cord. It was removed surgically without incident.

The Israeli authors point out that the normal human embryo has a tail protruding from the trunk, and that

during the 7th to 8th week of embryogenesis, the tail regresses as the vertebrated portion retracts into the trunk and the caudal vertebrae fuse to form the coccyx. The nonvertebrated apex remains as a temporary pro- trusion, but finally also disappears. In 1901, Harrison suggested that the rare vestigial human tail probably arises from this distal, unvertebrated portion of the embryonic tail. This possibility could explain the two features noted in all reported human tails: namely, the lack of vertebrae and the absence of associated spinal cord malformations.

Another case report of a human tail, published in The New England Journal of Medicine in 1982, notes that this malformation provides no support for Haeckel’s theory. The rudimentary tail contains no bones, has no connection to the rest of the skeleton, and is often not even located in the midline. It is a reminder, the author claims, that some elements needed for the formation of a tail are somehow buried deep in our genes, because we are related to other tailed primates, from whom we diverged “some 25 million years ago.” Perhaps they are a rare reminder too that in Jewish thought, there is no shame in having a tail. Just ask Adam.

Print Friendly and PDF

Eruvin 14a ~The value of Pi in the Talmud

Today we discuss maths (as it is called in the UK, Ireland and Australia,) or math (as it is called in the US and Canada). We will focus on that most magical of numbers, pi, also known as π.

The Talmud determined the that value of π is 3. How does it know this? Because of this verse in the Book of Kings:

מלכים א פרק ז פסוק כג 

ויעש את הים מוצק עשר באמה משפתו עד שפתו עגל סביב וחמש באמה קומתו וקוה שלשים באמה יסב אתו סביב 

And he made a molten sea, ten amot from one brim to the other: it was round, and its height was five amot, and a circumference of thirty amot circled it.

So one of the vessels in the Temple of Solomon was ten amot in diameter and 30 amot in circumference. Since π is the ratio of the circumference of a circle to its diameter (π=C/d), π in the Book of Kings is 30/10=3. Three - no more and no less. From this, today’s page of Talmud teaches a general rule:

תלמוד בבלי מסכת עירובין דף יד עמוד א 

כל שיש בהיקפו שלשה טפחים יש בו רחב טפח. מנא הני מילי? - אמר רבי יוחנן, אמר קרא : ויעש את הים מוצק עשר באמה משפתו עד שפתו עגל סביב וחמש באמה קומתו וקו שלשים באמה יסב אתו סביב 

"Whatever circle has a circumference of three tefachim must have a diameter of one tefach."  

But PI is more than three

However, this value of π =3 is not accurate. It deviates from the true value of π (3.1415...) by about 5%. Tosafot is bothered by this too.

תוספות, עירובין יד א

והאיכא משהו. משמע שהחשבון מצומצם וכן בפ"ק דב"ב (ד' יד:) גבי שני טפחים שנשתיירו בארון ששם ספר תורה מונח שהיא בהיקפה ששה טפחים ופריך כיון דלאמצעיתו נגלל נפיש ליה משני טפחים וכן בתר הכי דמשני בספר דעזרה לתחלתו נגלל ופריך אכתי תרי בתרי היכי יתיב משמע דמצומצם לגמרי וקשיא דאין החשבון מדוקדק לפי חכמי המדות

Tosafot opens the objection with these words: “But [pi] is a little more [than 3]. Which means that the value [of pi] is rounded down” Tosafot can't find a good answer to this obvious problem, and concludes "this is difficult, because the result [that pi=3] is not precise, as demonstrated by those who understand geometry." 

PI IN THE RAMBAM

In his commentary on the Mishnah on which today’s discussion is based, (Eruvin 1:5) Maimonides makes the following observation:

פירוש המשנה לרמב"ם מסכת עירובין פרק א משנה ה 

צריך אתה לדעת שיחס קוטר העיגול להקפו בלתי ידוע, ואי אפשר לדבר עליו לעולם בדיוק, ואין זה חסרון ידיעה מצדנו כמו שחושבים הסכלים, אלא שדבר זה מצד טבעו בלתי נודע ואין במציאותו שיודע. אבל אפשר לשערו בקירוב, וכבר עשו מומחי המהנדסים בזה חבורים, כלומר לידיעת יחס הקוטר להקיפו בקירוב ואופני ההוכחה עליו. והקירוב שמשתמשים בו אנשי המדע הוא יחס אחד לשלשה ושביעית, שכל עיגול שקוטרו אמה אחת הרי יש בהקיפו שלש אמות ושביעית אמה בקירוב. וכיון שזה לא יושג לגמרי אלא בקירוב תפשו הם בחשבון גדול ואמרו כל שיש בהקיפו שלשה טפחים יש בו רוחב טפח, והסתפקו בזה בכל המדידות שהוצרכו להן בכל התורה

...The ratio of the diameter to the circumference of a circle is not known and will never be known precisely. This is not due to a lack on our part (as some fools think), but this number [pi] cannot be known because of its nature, and it is not in our ability to ever know it precisely. But it may be approximated ...to three and one-seventh. So any circle with a diameter of one has a circumference of approximately three and one-seventh. But because this ratio is not precise and is only an approximation, they [the rabbis of the Mishnah and Talmud] used a more general value and said that any circle with a circumference of three has a diameter of one, and they used this value in all their Torah calculations.

Is the Value of Pi hidden in the Bible?

There are lots of papers on the value of pi in the the Bible. Many of them mention an observation that seems to have been incorrectly attributed to the Vilna Gaon.  The verse we cited from מלאכים א׳ spells the word for line as קוה, but it is pronounced as though it were written קו.  (In דברי הימים ב׳ (II Chronicles 4:2) the identical verse spells the word for line as קו.)  The ratio of the numerical value (gematria) of the written word (כתיב) to the pronounced word (קרי) is 111/106.  Let's have the French mathematician Shlomo Belga pick up the story - in his paper (first published in the 1991 Proceedings of the 17th Canadian Congress of History and Philosophy of Mathematics, and recently updated), he gets rather excited about the whole gematria thing:

Pi paper graphic.jpg

A mathematician called Andrew Simoson also addresses this large tub that is described in מלאכים א׳ and is often called Solomon's Sea. He doesn't buy the gematria, and wrote about it in The College Mathematics Journal.

A natural question with respect to this method is, why add, divide, and multiply the letters of the words? Perhaps an even more basic question is, why all the mystery in the first place? Furthermore, H. W. Guggenheimer, in his Mathematical Reviews...seriously doubts that the use of letters as numerals predates Alexandrian times; or if such is the case, the chronicler did not know the key. Moreover, even if this remarkable approximation to pi is more than coincidence, this explanation does not resolve the obvious measurement discrepancy - the 30-cubit circumference and the 10-cubit diameter. Finally, Deakin points out that if the deity truly is at work in this phenomenon of scripture revealing an accurate approximation of pi... God would most surely have selected 355/113...as representative of pi...

Still, what stuck Simoson was that "...the chroniclers somehow decided that the diameter and girth measurements of Solomon's Sea were sufficiently striking to include in their narrative." (If you'd like another paper to read on this subject,  try this one, published in B'Or Ha'Torah - the journal of "Science, Art & Modern Life in the Light of the Torah." You're welcome.)

Did the rabbis of the Talmud get π wrong?

So what are we to make of all this? Did the rabbis of the Talmud get π wrong, or were they just approximating π for ease of use?  After considering evidence from elsewhere in the Mishnah (Ohalot 12:6 - I'll spare you the details), Judah Landa, in his book Torah and Science, has this to say:

We can only conclude that the rabbis of the Mishnah and Talmud, who lived about 2,000 years ago, believed that the value of pi was truly three. They did not use three merely for simplicity’s sake, nor did they think of three as an approximation for pi. On the other hand, rabbis who lived much later, such as the Rambam and Tosafot (who lived about 900 years ago), seem to be acutely aware of the gross innacuracies that results from using three for pi. Mathematicians have known that pi is greater than three for thousands of years. Archimedes, who lived about 2,200 years ago, narrowed the value of pi down to between 3 10/70 and 3 10/71 ! (Judah Landa. Torah and Science. Ktav Publishing House 1991. p.23.)

Still, don't be too hard on the rabbis of the Talmud. The rule that the circumference of an object is three times its diameter is pretty close to being correct, and is usually a good enough approximation. But it is not accurate, and never will be.

[Repost from Pi Day 2016.]

Print Friendly and PDF

Eruvin 7a ~ Trephination

The new tractate of Eruvin, which we started to learn last Tuesday (named in Latin dies Martis, and see Shabbat 156 for an explanation) is concerned with the various legal definitions of public and private thoroughfares, and the prohibition against carrying on Shabbat. But in today’s page of Talmud we take a brief detour, (for reasons that need not detain us here) into questions of ritual impurity.

Although human remains transmit ritual impurity, if they are missing a bit they may not transmit a certain kind of ritual impurity called tumat ohel. Which brings us to the case of a skull with a hole in it. How much needs to be missing for the skull to be incapable of causing others to become impure?

ערובין ז,א

דִּתְנַן: הַשִּׁדְרָה וְהַגּוּלְגּוֹלֶת שֶׁחָסְרוּ — וְכַמָּה חֶסְרוֹן? … וּבַגּוּלְגּוֹלֶת, בֵּית שַׁמַּאי אוֹמְרִים: כִּמְלֹא מַקְדֵּחַ, וּבֵית הִלֵּל אוֹמְרִים: כְּדֵי שֶׁיִּנָּטֵל מִן הַחַי וְיָמוּת. 

We learned in a Mishnah: The skull…that is incomplete do not impart ritual impurity… How much is considered a deficiency in the skull for this purpose?…Beit Shammai say: It must be missing a piece the size of a drill hole, and Beit Hillel say: It must be missing an amount that, when removed from a living person, would cause him to die, [which is a larger amount].

What is this Drill hole all about?

But just how big is Bet Shammai’s “size of a drilled hole?” The commentators are silent on the matter here. The late and very great R. Adin Steinzaltz, (who died just nine days ago at the age of 83 and those intellectual output and infectious smile will be sorely missed) translated the passage without explanation. The medieval commentator Rashi, however, directs us elsewhere, telling us to “see Bechorot chapter three where this is explained.” If we take Rashi’s advice and revisit Bechorot (38a), we read a passage cited from a Mishnah in the tractate Oholot (2:2), where the dimensions of this drill are outlined by Rebbi Meir:

בְּאֵיזֶה מַקְדֵּחַ אָמְרוּ, בַּקָּטָן שֶׁל רוֹפְאִים, דִּבְרֵי רַבִּי מֵאִיר

It it is the size of “the small drill hole, used by physicians” (בקטן של רופאים). Good, we are making progress.

Maimonides in his explanation of this Mishnah explained that implement was a small mallet used to open up “wounds and abscesses.” However that type of surgery is carried out on the skin and so is performed using a sharp knife, and not a drill (or a mallet). The implement was more likely to have been a drill in the modern sense of the word. Indeed this is the explanation given by Samson ben Abraham of Sens (1150-1230), better known as the Rash Mishantz, who also describes how it was used to drill into the skulls of both living animals and living people.

So around the first century BCE there were physicians going around drilling holes (of various sizes) into the skulls of the living. Why on earth would they do such a thing, and just how common was this practice?

 
Trephinated skull of a 50 year-old woman found in Corseaux-En Seyton, Switzerland. Growth of the bone around the burr-hole indicate that the the patient survived the procedure. From the collection of the Cantonal Museum of Archeology and History, La…

Trephinated skull of a 50 year-old woman found in Corseaux-En Seyton, Switzerland. Growth of the bone around the burr-hole indicate that the the patient survived the procedure. From the collection of the Cantonal Museum of Archeology and History, Lausanne Switzerland.

 

Trephination - a hole drilled into the skull

Let’s start by introducing you to a word you may not have heard of. Trephination. It is the art of boring holes into people’s heads, and is also known as trepanning. The word is ultimately derived from the Greek trypanon, which was the instrument used to bore these head-holes. That is what the Talmud refers to as “the small drill hole, used by physicians” (בקטן של רופאים).

Trephination, the removal of a piece of the skull of a living individual without penetration of the underlying soft tissues goes back a long, long way. In fact it is the oldest surgical procedure known to humanity, and it predated Bet Shammai by at least 4,000 years. Oh, and by the way, many victims survived the procedure, as we can tell by noting the smooth edges around the hole. This indicates that there was some boney growth, and hence a living person, after the procedure.

Trephinated skulls from ancient Israel

Left: Round trephination found in Jericho. Right: Angular trephination, found in Timna. Angular trephination was associated with a very low rate of survival, indicated by lack of healing of the wound in the skull. It may have been practiced for ritu…

Left: Round trephination found in Jericho. Right: Angular trephination, found in Timna. Angular trephination was associated with a very low rate of survival, indicated by lack of healing of the wound in the skull. It may have been practiced for ritual rather than for therapeutic reasons. From Arensburg B., Hershkovitz I. Cranial deformation and trephination in the Middle East. Bulletins et Mémoires de la Société d'anthropologie de Paris, XIV° Série. Tome 5 fascicule 3, 1988. pp. 139-150.

Trephinations in Israel and South Sinai by type, healing status and period. From Arensburg B., Hershkovitz I. Cranial deformation and trephination in the Middle East. Bulletins et Mémoires de la Société d'anthropologie de Paris, XIV° Série. Tome 5 f…

Trephinations in Israel and South Sinai by type, healing status and period. From Arensburg B., Hershkovitz I. Cranial deformation and trephination in the Middle East. Bulletins et Mémoires de la Société d'anthropologie de Paris, XIV° Série. Tome 5 fascicule 3, 1988. pp. 139-150.

Archeologists in Israel have discovered many trephinated skulls. According to Prof I. Hershkovitz from the Department of Anatomy at Tel-Aviv University these include trephined skulls from the 7th century BCE at Tel Duweir, a trephinated skull found in a tomb near Timna, roughly dated between the 6th century B.C.E. and the 3rd century C.E, and a skull from the Hellenistic-Roman period in Acco. Two trephinated skulls from the Middle Bronze Age I (~2,200-2,000 BCE) were found in Jericho, one from the Early Bronze age was found in Azor, and a trephinated Iron Age skull was found in Yavneh. But the very earliest skull found around the Land of Ancient Israel was uncovered in a a large cemetery at Wadi Hebran in the Southern Sinai. It belonged to a man aged between 35 and 40, who was buried around 4,000 BCE; that’s over 6,000 years ago. So yeah, trephination is a really old procedure.

According to anthropologists who have studied trephined skulls, patient survival rate varied greatly. One scientist found advanced healing in 250 of 400 skulls, for a survival rate of 62.5%. Other scientists have found the survival rate to be between 23.4% and 55.3%.
— Froeschner, E. Two examples of ancient skull surgery. J Neurosurg 1992; 76: 550-552.

Around the world with trephination

Evidence of trephination is by no means unique to ancient Israel. Trephinated skulls have been found in Peru, India, and Africa (where it is still practiced). The procedure was practiced in several different and geographically remote populations, which demonstrates that it independently evolved in each. Why would that happen?

In 2015 the neurosurgeon Miguel Faria suggested the following as an explanation. Neolithic man would have noticed that while massive blunt head injuries were invariably lethal, milder head injuries were not. There might be an extended period of unconsciousness to be sure, but some victims would, having been left for dead in the back of a cave, “miraculously” recover and become “undead.” Today we would call this period a “coma”, and, so the claim goes, it would have been supposed that “something in the head had to do with undying.” Then this:

“..an opening in the head, trephination, could be “the activating element,” the act that could allow the demon to leave the body or the good spirit to enter it, for the necessary “undying” process to take place. If deities had to enter or leave the head, the opening had to be sufficiently large…The head was chosen for the procedure, not because of any particular intrinsic importance or because of magic or religious reasons, but because of the unique and universally accumulated experience observed by primitive man in the Stone Age with ubiquitous head injuries during altercations and hunting. Otherwise, the pelvic bone or femur could have served the same purpose. We must recall that even the much more advanced ancient Egyptian, Mesopotamian, Hindu, and even Hellenic civilizations believed the heart to be the center of thought and emotions, not the brain. In fact, the association of the heart with emotions lingered to the present age.

And so it was that the procedure came to be practiced across the world. This may also explain how it also ended up being used in ancient Israel, and trickled down into a teaching about ritual impurity cited by Bet Shammai.

Print Friendly and PDF

Shabbat 156 ~ Talmudic Astrology

Astrology is mentioned in many pages of the Talmud, but today we study one of the most important of them. The Talmud does not question whether astrology works, for it assumes that it does. Rather, the discussion centers around the details of producing an astrological map for a person, and how the Jewish People can avoid their astrologically determined fate.

The first topic is how the the alignment of the planets define a person’s fate. According to Rabbi Yehoshua ben Levi the planets influence the day of the week. So if you are born on Sunday, you will be a person of extremes:

שבת קנו, א

אִי כּוּלֵּיהּ לְטֵיבוּ, אִי כּוּלֵּיהּ לְבִישׁוּ. מַאי טַעְמָא? דְּאִיבְּרוֹ בֵּיהּ אוֹר וָחוֹשֶׁךְ

Rather, one born on a Sunday is either completely for the best or completely for the worst. What is the reason for this? It is because both light and darkness were created on the first day of Creation.

If you are born on a Monday, you will be “a short tempered person” because on that day the upper waters were divided from the lower; there was division, which translates into a person who “divides” with his temper. And so on. Now given that 1/7 of the world’s population will be born on any given day of the week, this is rather a generalization, but let’s leave that aside. This opinion is challenged by Rabbi Chaninah, who explains that it is rather more complicated:


שבת קנו, א

אֲמַר לְהוּ רַבִּי חֲנִינָא, פּוּקוּ אֱמַרוּ לֵיהּ לְבַר לֵיוַאי: לֹא מַזַּל יוֹם גּוֹרֵם אֶלָּא מַזַּל שָׁעָה גּוֹרֵם. הַאי מַאן דִּבְחַמָּה — יְהֵי גְּבַר זִיוְתָן, יְהֵי אָכֵיל מִדִּילֵיהּ וְשָׁתֵי מִדִּילֵיהּ, וְרָזוֹהִי גַּלְיִין, אִם גָּנֵיב — לָא מַצְלַח. הַאי מַאן דִּבְכוֹכָב נוֹגַהּ — יְהֵי גְּבַר עַתִּיר וְזַנַּאי יְהֵי. מַאי טַעְמָא? מִשּׁוּם דְּאִיתְיְלִיד בֵּיהּ נוּרָא. הַאי מַאן דִּבְכוֹכָב — יְהֵי גְּבַר נָהִיר וְחַכִּים, מִשּׁוּם דְּסָפְרָא דְחַמָּה הוּא. הַאי מַאן דְּבִלְבָנָה — יְהֵי גְּבַר סָבֵיל מַרְעִין, בָּנֵי וְסָתַר, סָתַר וּבָנֵי, אָכֵיל דְּלָא דִּילֵיהּ וְשָׁתֵי דְּלָא דִּילֵיהּ וְרָזוֹהִי כַּסְיִין אִם גָּנֵב — מַצְלַח. הַאי מַאן דִּבְשַׁבְּתַאי — יְהֵי גְּבַר מַחְשְׁבָתֵיהּ בָּטְלִין. וְאִית דְּאָמְרִי: כל דִּמְחַשְּׁבִין עֲלֵיהּ בָּטְלִין. הַאי מַאן דִּבְצֶדֶק — יְהֵי גְּבַר צִדְקָן. אָמַר רַב נַחְמָן בַּר יִצְחָק: וְצַדְקָן בְּמִצְוֹת. הַאי מַאן דִּבְמַאְדִּים — יְהֵי גְּבַר אָשֵׁיד דְּמָא. אָמַר רַב אָשֵׁי: אִי אוּמָּנָא, אִי גַּנָּבָא, אִי טַבָּחָא, אִי מָהוֹלָא. אָמַר רַבָּה: אֲנָא בְּמַאְדִּים הֲוַאי. אָמַר אַבָּיֵי: מָר נָמֵי עָנֵישׁ וְקָטֵיל

Rabbi Chanina said to his students who heard all this: Go and tell the son of Leiva’i, Rabbi Yehoshua ben Levi: It is not the constellation of the day of the week that determines a person’s nature; rather, it is the constellation of the hour that determines his nature. 
One who was born under the influence of the Sun will be a radiant person; he will eat from his own resources and drink from his own resources, and his secrets will be exposed. If he steals he will not succeed, because he will be like the sun that shines and is revealed to all. 
One who was born under the influence of Venus will be a rich and promiscuous person. What is the reason for this? Because fire was born during the hour of Venus, he will be subject the fire of the evil inclination, which burns perpetually. 
One who was born under the influence of Mercury will be an enlightened and expert man, because Mercury is the sun’s scribe, as it is closest to the sun. 
One who was born under the influence of the Moon will be a man who suffers pains, who builds and destroys, and destroys and builds. He will be a man who eats not from his own resources and drinks not from his own resources, and whose secrets are hidden. If he steals he will succeed, as he is like the moon that constantly changes form, whose light is not its own, and who is at times exposed and at times hidden. 
One who was born under the influence of Saturn will be a man whose thoughts are for naught. And some say that everything that others think about him and plan to do to him is for naught. 
One who was born under the influence of Jupiter [tzedek] will be a just person [tzadkan]. … 
One who was born under the influence of Mars will be one who spills blood. Rav Ashi said: He will be either a blood letter, or a thief, or a slaughterer of animals, or a circumciser. Rabba said: I was born under the influence of Mars and I do not perform any of those activities. Abaye said: My Master also punishes and kills as a judge.

The dispute is whether the planets influence everyone born on a specific day of the week, regardless of the time of their birth, or whether the influence of all the planets is felt daily, with each celestial body influencing successive hours. Or as Rabbi Chaninah puts it on today’s page of Talmud: לֹא מַזַּל יוֹם גּוֹרֵם אֶלָּא מַזַּל שָׁעָה גּוֹרֵם - it is not the celestial sign of the day that influences the nature of a person, but the celestial sign of the hour of birth that influences their nature.

horoscope_2.jpg

“There is no constellation that rules over Israel”

So in the Talmud, everyone agreed that astrology was a real phenomenon. They just differed in some of its details. Later we read of another dispute, this one between Rabbi Chananiah and Rabbi Yochanan. The former believed מַזָּל מַחְכִּים, מַזָּל מַעֲשִׁיר, וְיֵשׁ מַזָּל לְיִשְׂרָאֵל- “A constellation makes one wise and a constellation makes one wealthy, and there is a constellation for the Jewish people that influences them.” But Rabbi Yochanan believed אֵין מַזָּל לְיִשְׂרָאֵל- “there is no constellation that rules over the Jewish People.” Now at face value Rabbi Yochanan meant precisely what he stated - that the Jewish People is somehow immune to the usual influences of the stars and planets. Except his words were never understood in that way. For example the great medieval commentator Rashi explained that through prayer and charity, Israel could change its destiny, a destiny that would otherwise have been predicted by astrology.

This is also how another great medieval exegete, Ibn Ezra (d. 1164) explained how Israel was not subject to astrological determinism.

אבן עזרא שמות פרק לג פסוק כא 

ואתן לך משל חשוב, שהיתה מערכת הכוכבים שיגדל נהר על עיר אחת וישטוף אנשים או ימותו. ובא נביא והזהירם, שישובו אל השם בטרם בא יום רעתם. ושבו אליו בכל לבם. ובעבור שדבקו בו, נתן בלבם, שיצאו אנשי העיר לחוץ להתפלל אל השם. והנה עשו כן. וביום ההוא גדל הנהר פתאום כמנהגו, כאשר ראינו בעינינו פעמים רבות ושטף כל העיר. והנה לא סרה גזירת השם והוא הצילם, 

I will explain this with an important analogy. Perhaps the alignment of the stars caused a river to overflow and flood a town, sweeping away its inhabitants or drowning them. Now if a prophet came and warned them of the impending danger, and told them to repent before God lest this terrible event would occur, and they truly repented, this would not happen…for on that predicted day of the flood, God would cause all of the inhabitants to flee the city to pray to him. And when the river suddenly burst its banks, God would have saved them…

That’s the meaning of “there is no constellation the rules over Israel.” Your destiny is always written in the stars, but you can, if you try hard enough, manage to change it. So really even the Jewish People are subject to the rules of astrological prediction, but they have, as it were, an escape clause.

...together with its rational appearance, astrology has the immense advantage to proposes a global, holistic approach for apprehending the world, via a link between humans and the cosmos.
— Phillipe Zirka. Astronomy and Astrology. The Role of Astronomy in Society and Culture Proceedings IAU Symposium No. 260, 2009. International Astronomical Union 2011 D. Valls-Gabaud & A. Boksenberg, eds.

How Talmudic Astrology worked

For many centuries there were thought to be only seven celestial bodies that determined a person’s future. They are the Sun, the Moon, Mercury, Venus, Mars, Jupiter and Saturn (though not in that order). The order of these bodies was based on how quickly they appear to move across the sky, with Saturn moving the slowest, and the Moon the quickest. So the order would be

Saturn-> Jupiter ->Mars-> Sun->Venus->Mercury-> Moon->Saturn…etc

This sequence is also the furthest from the Earth (Saturn) to the nearest (Moon) in the Ptolemaic system, in which the earth is at the unmoving center of the universe. This pattern was common to most of those who practiced astrology, and is by no means a uniquely Jewish creation.


Each of these celestial bodies rules over one day, or according to Rabbi Chaninah, one hour of each day starting with sunrise. So at sunrise on Day One (which we happen to call SUNday) the Sun is dominant. In hour two it is Venus, hour three, Mercury, and so on until all the hours of the week are filled. Here is how Rabbi Chaninah’s system works, shown for the first three of the seven days of the week:

 
The Controlling Mazzalot and The Hours of the Week*
Night of Sunday Day of Sunday
Hour Mazzal Hour Mazzal
1 (Sunset) Mercury 1 (Sunrise) Sun
2 Moon 2 Venus
3 Saturn 3 Mercury
4 Jupiter 4 Moon
5 Mars 5 Saturn
6 Sun 6 Jupiter
7 Venus 7 Mars
8 Mercury 8 Sun
9 Moon 9 Venus
10 Saturn 10 Mercury
11 Jupiter 11 Moon
12 Mars 12 Saturn
Night of Monday Day of Monday
Hour Mazzal Hour Mazzal
1 (Sunset) Jupiter 1 (Sunrise) Moon
2 Mars 2 Saturn
3 Sun 3 Jupiter
4 Venus 4 Mars
5 Mercury 5 Sun
6 Moon 6 Venus
7 Saturn 7 Mercury
8 Jupiter 8 Moon
9 Mars 9 Saturn
10 Sun 10 Jupiter
11 Venus 11 Mars
12 Mercury 12 Sun
Night of Tuesday Day of Tuesday
Hour Mazzal Hour Mazzal
1 (Sunset) Venus 1 (Sunrise) Mars
2 Mercury 2 Sun
3 Moon 3 Venus
4 Saturn 4 Mercury
5 Jupiter 5 Moon
6 Mars 6 Saturn
7 Sun 7 Jupiter
8 Venus 8 Mars
9 Mercury 9 Sun
10 Moon 10 Venus
11 Saturn 11 Mercury
12 Jupiter 12 Moon
Etc
*Based on Judah Landa, Torah & Science, Ktav 1991

Why is bloodletting prohibited on a Tuesday?

This chart had very practical ramifications. Earlier in this tractate Shabbat, in a long passage about how and when to perform the medical intervention called bloodletting, we read the following:

שבת קכט,ב

אָמַר שְׁמוּאֵל: פּוּרְסָא דִדְמָא — חַד בְּשַׁבְּתָא, אַרְבָּעָה, וּמַעֲלֵי שַׁבְּתָא, אֲבָל שֵׁנִי וַחֲמִישִׁי — לָא

בִּתְלָתָא בְּשַׁבְּתָא מַאי טַעְמָא לָא? מִשּׁוּם דְּקָיְימָא לֵיהּ מַאְדִּים בְּזָוֵוי

Shmuel said: Bloodletting should be performed on a Sunday, Wednesday and Friday, but not on a Monday or Thursday. And why may bloodletting not be performed on a Tuesday? Because we know that Mars is dominant during the even hours.

A quick glance at the table above will reveal that on Tuesday (the third day of the Jewish week) sunrise (or hour one) is under the influence of Mars, and so is the eighth hour of the day. As Rashi explains, this is particularly dangerous,

שמזל מאדים משמש בו בשעות זוגות ומזל מאדים ממונה על החרב ועל הדבר ועל הפורעניות והזוגות קשין שהן רשות לשדים  

For Mars is dominant during an even hour, and Mars has control over the sword, over pestilence, and over punishment, and during an even hour there is an increased danger, because this is when demons are given permission to destroy…

It seems that Tuesday is a very bad day to let blood, since Mars, the “destroyer” has influence in the eighth hour, and 2x2x2=8, so there are a lot of dangerous even hours (or something like that). As a result, best not to undergo the procedure.

But does Astrology work?

No. There a a myriad of reasons why not. Here is just one: why should randomly picked patterns of stars, light years from one another should influence anything here on Earth? The constellations are, after all, a human construct. It is as if an actor on stage picked out a man in the second row, a woman in the mezzanine, and another woman at the front of the balcony, and saw in their pattern a triangle. That is what happens when when we “see” constellations. Here is a second problem: How can object so far from Earth could influence our lives, for their gravitational effects are far weaker than those of the table lamp sitting next to you on your desk. Are we now going to suggest other kinds of yet to be discovered material waves that “influence” us? A third: why do astrologers not take into account the constellations in the southern hemisphere? Surely they too must have an important effect, but they are not part of the Talmudic system, nor of many modern astrology charts. Just because the people who developed the whole notion of astrology were not aware of them, surely does not negate the influence they must exert on out futures?

More importantly than a lack of a mechanism is the simple fact that in study after study, astrologers have not been able to predict anything that would not have ben expected by chance. My favorite example of this is the 1985 study by Shawn Carlson, published in the prestigious journal Nature. It is important because it was designed with input from both scientists and astrologers.The thesis was that

the positions of all the planets (all planets, the Sun and the Moon plus other objects defined by astrologers) at the moment of birth can be used to determine the subject’s general personality traits and tendencies in temperament and behavior, and to indicate the major issues which the subject is likely encounter

and it sounds very much like the astrological beliefs found in today’s page of Talmud.

So a group of volunteers told astrologers the details of their birth, and from these a “natal chart” (or horoscope) was drawn up. There could be no identifying clues in the chart. Each volunteer was then given three natal charts; her own and two others, and asked to pick out the one that best described themselves. There were 83 volunteers, whose natal charts were drawn up over a ten week period. If the astrologers could accurately predict a person’s future, that chart should stand out and be correctly chosen by the person to whom it belonged. If it could not, then the correct chart would only be chosen 1/3 of the time. And guess what, it was indeed chosen….only 1/3 of the time. (There are many more details about the study including other tests that were performed, and how the statistical analysis was performed.)

Of course there are critics of this experiment, and those in one camp will generally not be swayed by the other. One may object to astrology because it is not “scientific”, but there are lots of things that are true and are not scientific; like love, or longing. And as anyone who has recently perused a bookshop in Israel can testify, the whole astrology thing has had a renaissance there.

Maimonides’ opposition to Astrology

But don’t just take my criticisms of astrology. None other than Maimonides himself was absolutely opposed to its practice in any way, as he outlined in his Mishnah Torah. In addition, in his famous Letter to the Jews of Marseilles of 1194 he went further, and denounced astrology as “an irrational illusion of fools and a baseless deception that was subversive to the faith and teachings of Judaism.” Here are a few choice excerpts:

no man should believe anything unless attested by one of three principles. First, rational proof as in mathematical sciences; secondly, the perception by one of the five senses… and third, tradition derived from the prophets and the righteous…

Some misguided people wrote thousands of books on the subject and many ignorant people wasted their precious years pouring over them, mistaking vanity for knowledge and ascribing consummate wisdom to their authors. There seems to be a fatal disease and abysmal mischief among most people, with the exception of a select divinely inpired remnant, to the effect that whatever is found in books is instantly acceptable as truth, especially if the books are ancient…Know my masters that I investigated these matters extensively… There was not a single book translated into Arabic on the subject that I have not studied and investigated in depth…

all the assumptions of the astrologers with regard to the forecasting of impeding events, or the determination of one's destiny by the constellation at the time of one’s birth are irrational superstitions devoid of any scientific basis…. 

For if man's life is predestined by an external force that coercively casts him into a frozen mould or impels him to act in a certain way without his own choice, then of what value are the precepts and the teachings of the Torah? It would appear thus that their views are not only invalidated by scientific thought… but in their folly the astrologers tend to reject the Mosaic Law.

Maimonides ends his letter with a powerful call to rationalism and a rejection of all superstitions, including astrology.

I am aware that it is possible to find some individual opinions of our sages in the Talmud, the Mishnah and Midrashim supporting astrological assumptions about the potency of the stars… This should not be disturbing to you inasmuch as we must never abandon practical Halakhah for the sake of upholding dialectical arguments. Moreover, it is not feasible to surrender demonstrative rational knowledge and embrace the opinion of one individual sage who might have missed a crucial point at that time or he may have proffered an allegorical remark not to be taken literally or that his statement was meant as a temporary measure referring to a specific incident. For is it not apparent that many statements of the Torah cannot be taken literally but, as is clear from scientific evidence, require interpretation that will make them acceptable to rational thought.

The attraction and repulsion of astrology

In fact, there has always been a tension between a belief in a pre-determined destiny written in the heavens, and the utter disdain for such a practice. Here, for example is how Samuel (d. 254 CE), who was famous as both an astronomer and physician, thought about it:

דברים רבא 8:6

 מַהוּ לֹא בַשָּׁמַיִם הִוא. שְׁמוּאֵל אָמַר אֵין הַתּוֹרָה מְצוּיָה בְּאִיסְטְרוֹלוֹגִין שֶׁאֻמְנוּתָן בַּשָּׁמָיִם

What is the meaning of the words “it is not in the heavens” (Deut 30:12)? Samuel explained, the Torah is above the work of astrologers who study the heavens…

Although he taught that the Torah (and presumably those who observe it) were beyond the influence of the stars, Samuel never believed that astrology was a foolish undertaking. The passage continues:

אָמְרוּ לִשְׁמוּאֵל הֲרֵי אַתָּה אִיסְטְרוֹלוֹגִין וְגָדוֹל בַּתּוֹרָה, אָמַר לָהֶן לֹא הָיִיתִי מַבִּיט בְּאִיסְטְרוֹלוֹגִים אֶלָּא בְּשָׁעָה שֶׁהָיִיתִי פָּנוּי מִן הַתּוֹרָה, אֵימָתַי כְּשֶׁהָיִיתִי נִכְנָס לְבֵית הַמָּיִם

They said to Shmuel, but aren't you an astrologer and also great in Torah? He said to them, I only look at the astrological signs when I am free from the Torah. When is that? When I enter the bathhouse

Samuel never dismissed astrology, but he only turned to it when he was free from the study of Torah. Today, about a third of Americans believe in astrology. Once, one-hundred percent of all people did. So perhaps we are slowly heading in the right direction.

Print Friendly and PDF