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Who "wrote" the Bavli?
"It speaks from everywhere and anywhere, but nowhere in particular; to all time, but from no time. It is almost as if those responsible for its emergence anticipated the historicist impulse of the modern academic world and said “we shall thwart your every effort to understand the history of this collection of material.” - Jay Harris, introduction to Ari Bergmann's "The Formation of the Talmud"
1. Is it really important to know this?

וְאָמַר רַבִּי אֶלְעָזָר אָמַר רַבִּי חֲנִינָא כׇּל הָאוֹמֵר דָּבָר בְּשֵׁם אוֹמְרוֹ מֵבִיא גְּאוּלָּה לָעוֹלָם שֶׁנֶּאֱמַר וַתֹּאמֶר אֶסְתֵּר לַמֶּלֶךְ בְּשֵׁם מׇרְדֳּכָי

And Rabbi Elazar further said that Rabbi Ḥanina said: Whoever reports a saying in the name of he who said it brings redemption to the world. As it is stated with respect to the incident of Bigthan and Teresh: “And Esther reported it to the king in the name of Mordecai” (Esther 2:22), and this eventually brought redemption, as Mordecai was later rewarded for saving the king’s life, paving the way for the miraculous salvation.

מֵאֵימָתַי קוֹרִין אֶת שְׁמַע בָּעֲרָבִין?.....: גְּמָ׳ תַּנָּא הֵיכָא קָאֵי דְּקָתָנֵי ״מֵאֵימָתַי״? וְתוּ: מַאי שְׁנָא דְּתָנֵי בְּעַרְבִית בְּרֵישָׁא? לִתְנֵי דְּשַׁחֲרִית בְּרֵישָׁא! תַּנָּא אַקְּרָא קָאֵי, דִּכְתִיב: ״בְּשָׁכְבְּךָ וּבְקוּמֶךָ״. וְהָכִי קָתָנֵי: זְמַן קְרִיאַת שְׁמַע דִּשְׁכִיבָה אֵימַת? — מִשָּׁעָה שֶׁהַכֹּהֲנִים נִכְנָסִין לֶאֱכוֹל בִּתְרוּמָתָן. וְאִי בָּעֵית אֵימָא: יָלֵיף מִבְּרִיָּיתוֹ שֶׁל עוֹלָם, דִּכְתִיב: ״וַיְהִי עֶרֶב וַיְהִי בֹקֶר יוֹם אֶחָד״. אִי הָכִי, סֵיפָא דְּקָתָנֵי ״בַּשַּׁחַר מְבָרֵךְ שְׁתַּיִם לְפָנֶיהָ וְאַחַת לְאַחֲרֶיהָ, בָּעֶרֶב מְבָרֵךְ שְׁתַּיִם לְפָנֶיהָ וּשְׁתַּיִם לְאַחֲרֶיהָ״, לִתְנֵי דְּעַרְבִית בְּרֵישָׁא! תַּנָּא פָּתַח בְּעַרְבִית, וַהֲדַר תָּנֵי בְּשַׁחֲרִית, עַד דְּקָאֵי בְּשַׁחֲרִית, פָּרֵישׁ מִילֵּי דְשַׁחֲרִית, וַהֲדַר פָּרֵישׁ מִילֵּי דְעַרְבִית. אָמַר מָר מִשָּׁעָה שֶׁהַכֹּהֲנִים נִכְנָסִים לֶאֱכוֹל בִּתְרוּמָתָן. מִכְּדִי כֹּהֲנִים אֵימַת קָא אָכְלִי תְּרוּמָה? — מִשְּׁעַת צֵאת הַכּוֹכָבִים, לִתְנֵי: ״מִשְּׁעַת צֵאת הַכּוֹכָבִים״! מִלְּתָא אַגַּב אוֹרְחֵיהּ קָמַשְׁמַע לַן — כֹּהֲנִים אֵימַת קָא אָכְלִי בִּתְרוּמָה — מִשְּׁעַת צֵאת הַכּוֹכָבִים. וְהָא קָמַשְׁמַע לַן דְּכַפָּרָה לָא מְעַכְּבָא. כִּדְתַנְיָא: ״וּבָא הַשֶּׁמֶשׁ וְטָהֵר״ — בִּיאַת שִׁמְשׁוֹ מְעַכַּבְתּוֹ מִלֶּאֱכוֹל בִּתְרוּמָה, וְאֵין כַּפָּרָתוֹ מְעַכַּבְתּוֹ מִלֶּאֱכוֹל בִּתְרוּמָה. וּמִמַּאי דְּהַאי ״וּבָא הַשֶּׁמֶשׁ״ בִּיאַת הַשֶּׁמֶשׁ, וְהַאי ״וְטָהֵר״ — טְהַר יוֹמָא.

The beginning of tractate Berakhot, the first tractate in the first of the six orders of Mishna, opens with a discussion of the recitation of Shema, as the recitation of Shema encompasses an acceptance of the yoke of Heaven and of the mitzvot, and as such, forms the basis for all subsequent teachings. The Mishna opens with the laws regarding the appropriate time to recite Shema:

MISHNA: From when, that is, from what time, does one recite Shema in the evening? From the time when the priests enter to partake of their teruma. Until when does the time for the recitation of the evening Shema extend? Until the end of the first watch. The term used in the Torah (Deuteronomy 6:7) to indicate the time for the recitation of the evening Shema is beshokhbekha, when you lie down, which refers to the time in which individuals go to sleep. Therefore, the time for the recitation of Shema is the first portion of the night, when individuals typically prepare for sleep. That is the statement of Rabbi Eliezer.
The Rabbis say: The time for the recitation of the evening Shema is until midnight. Rabban Gamliel says: One may recite Shema until dawn, indicating that beshokhbekha is to be understood as a reference to the entire time people sleep in their beds, the whole night. The mishna relates that Rabban Gamliel practiced in accordance with his ruling. There was an incident where Rabban Gamliel’s sons returned very late from a wedding hall. They said to him, as they had been preoccupied with celebrating with the groom and bride: We did not recite Shema. He said to them: If the dawn has not yet arrived, you are obligated to recite Shema. Since Rabban Gamliel’s opinion disagreed with that of the Rabbis, he explained to his sons that the Rabbis actually agree with him, and that it is not only with regard to the halakha of the recitation of Shema, but rather, wherever the Sages say until midnight, the mitzva may be performed until dawn. Rabban Gamliel cites several cases in support of his claim, such as the burning of fats and limbs on the altar. Due to the quantity of offerings each day, the priests were often unable to complete the burning of all of the fats and limbs, so they continued to be burned into the night, as it is written: “This is the law of the burnt offering: The burnt offering shall remain upon the pyre on the altar all night until morning, while the fire on the altar burns it” (Leviticus 6:2). And, with regard to all sacrifices, such as the sin-offerings and the guilt-offerings that are eaten for one day and night; although the Sages state that they may be eaten only until midnight, by Torah law they may be eaten until dawn. This is in accordance with the verse: “On the day on which it is offered must you eat. Do not leave it until the morning” (Leviticus 7:15). If so, why did the Sages say that they may be eaten only until midnight? This is in order to distance a person from transgression, as if one believes that he has until dawn to perform the mitzva, he might be negligent and postpone it until the opportunity to perform the mitzva has passed. GEMARA: The Mishna opens with the laws concerning the appropriate time to recite Shema with the question: From when does one recite Shema in the evening? With regard to this question, the Gemara asks: On the basis of what prior knowledge does the tanna of our mishna ask: From when? It would seem from his question that the obligation to recite Shema in the evening was already established, and that the tanna seeks only to clarify details that relate to it. But our mishna is the very first mishna in the Talmud. The Gemara asks: And furthermore, what distinguishes the evening Shema, that it was taught first? Let the tanna teach regarding the recitation of the morning Shema first. Since most mitzvot apply during the day, the tanna should discuss the morning Shema before discussing the evening Shema, just as the daily morning offering is discussed before the evening offering (Tosefot HaRosh). The Gemara offers a single response to both questions: The tanna bases himself on the verse as it is written: “You will talk of them when you sit in your home, and when you walk along the way, when you lie down, and when you arise” (Deuteronomy 6:7). By teaching the laws of the evening Shema first, the tanna has established that the teachings of the Oral Torah correspond to that which is taught in the Written Torah. And based on the Written Torah, the tanna teaches the oral law: When is the time for the recitation of Shema of lying down as commanded in the Torah? From when the priests enter to partake of their teruma. Just as the Written Torah begins with the evening Shema, so too must the Oral Torah. However, there is another possible explanation for why the mishna opens with the evening Shema rather than with the morning Shema. If you wish, you could say instead that the tanna derives the precedence of the evening Shema from the order of the creation of the world. As it is written in the story of creation: “And there was evening, and there was morning, one day” (Genesis 1:5). According to this verse, day begins with the evening and not the morning. For both of these reasons it was appropriate to open the discussion of the laws of the recitation of Shema with the evening Shema. The Gemara asks: If so, why does the latter clause of the mishna, which appears later in the chapter, teach: In the morning one recites two blessings before Shema and one blessing afterward, and in the evening one recites two blessings before Shema and two afterward? Based upon the above reasoning, the mishna should have taught the blessing recited before and after the evening Shema first. The Gemara answers: Indeed, the tanna began by discussing the laws regarding the recitation of the evening Shema, and then taught the laws regarding the recitation of the morning Shema. Once he was already dealing with the morning Shema, he explained the matters of the morning Shema, and then explained the matters of the evening Shema. The Gemara proceeds to clarify the rest of the mishna. The Master said in the mishna that the beginning of the period when one recites Shema in the evening is when the priests enter to partake of their teruma. However, this does not specify a definitive time. When do the priests enter to partake of their teruma? From the time of the emergence of the stars. If that is the case, then let the tanna teach that the time for the recitation of the evening Shema is from the time of the emergence of the stars. The Gemara responds: Indeed it would have been simpler to say that the time for the recitation of the evening Shema begins with the emergence of the stars, but the particular expression used by the tanna teaches us another matter in passing: When do priests partake of their teruma? From the time of the emergence of the stars. And the tanna teaches us a new halakha parenthetically: failure to bring an atonement offering does not prevent a priest from eating teruma. In cases where an impure priest is required to immerse himself in a ritual bath and bring an atonement offering, even if he already immersed himself, he is not completely ritually pure until he brings the atonement offering. Nevertheless, he is still permitted to partake of teruma. Taught in passing in our mishna, this is articulated fully in a baraita, based on a close reading of the biblical passages. As it was taught in a baraita with regard to the laws of ritual impurity, it is said: “One who touches it remains impure until evening. He should not eat of the consecrated items and he must wash his flesh with water. And the sun sets and it is purified. Afterwards, he may eat from the teruma, for it is his bread” (Leviticus 22:6–7). From the passage: “And the sun sets and it is purified,” that the absence of the setting of his sun prevents him from partaking of teruma, but failure to bring the atonement offering does not prevent him from partaking of teruma, may be inferred. The Gemara discusses the proof offered in the baraita: From where do we know that the phrase: “And the sun sets” refers to the complete setting of the sun, and therefore, “and it is purified” refers to the fact that the day is pure, i.e., and the sun sets and it is purified is one phrase meaning that the sun will set, the air will clear, and the stars will emerge (Rav Hai Gaon)?

2. The one primary source in the Gemara on its authorship

שמואל ירחינאה אסייה דרבי הוה חלש רבי בעיניה א"ל אימלי לך סמא א"ל לא יכילנא אשטר לך משטר [א"ל] לא יכילנא הוה מותיב ליה בגובתא דסמני תותי בי סדיה ואיתסי הוה קא מצטער רבי למסמכיה ולא הוה מסתייעא מילתא א"ל לא לצטער מר לדידי חזי לי סיפרא דאדם הראשון וכתיב ביה שמואל ירחינאה חכים יתקרי ורבי לא יתקרי ואסו דרבי על ידו תהא רבי ור' נתן סוף משנה רב אשי ורבינא סוף הוראה

§ The Gemara relates: Shmuel Yarḥina’a was the physician of Rabbi Yehuda HaNasi. One time, Rabbi Yehuda HaNasi felt a pain in his eye. Shmuel said to him: I will place a medication in your eye. Rabbi Yehuda HaNasi said to him: I cannot have the medication placed directly in my eye, as I am afraid it will cause me too much pain. Shmuel said to him: I will apply a salve above your eye, not directly in it. Rabbi Yehuda HaNasi said to him: Even that I cannot bear. Shmuel placed the medication in a tube of herbs beneath his pillow, and Rabbi Yehuda HaNasi was healed. Rabbi Yehuda HaNasi made efforts to ordain Shmuel Yarḥina’a as a rabbi but was unsuccessful, as Shmuel always demurred. Shmuel Yarḥina’a said to him: The Master should not be upset about my refusal, as I know that I am not destined to be ordained as a rabbi. I myself saw the book of Adam the first man, which contains the genealogy of the human race, and it is written in it that Shmuel Yarḥina’a shall be called a wise [ḥakim] physician, but he shall not be called rabbi, and Rabbi Yehuda HaNasi’s convalescence shall be through him. I also saw written there: Rabbi Yehuda HaNasi and Rabbi Natan are the end of the Mishna, i.e., the last of the tanna’im, the redactors of the Mishna. Rav Ashi and Ravina are the end of instruction, i.e., the end of the period of the amora’im, the redacting of the Talmud, which occurred after the period of the tanna’im.
סוף המשנה - סוף תנאים עד ימיהן אמרו איש את דבריו בבית המדרש והיו תלמידים גורסים שמועה שמועה לבדה ולא היו מסכתות סדורות וסדר וקבץ על הסדר והם כללו האמור בדורות שלפניהם וסדרו את המסכתות ואחריהם לא יוסיפו אלא מעט:
סוף הוראה - סוף כל האמוראין עד ימיהם לא היתה גמרא על הסדר אלא כשהיתה שאלה נשאלת בטעם המשנה בבית המדרש או שאלה על מעשה המאורע בדין ממון או איסור והיתר כל אחד ואחד אומר טעמו ורב אשי ורבינא סידרו שמועות אמוראין שלפניהם וקבעו על סדר המסכתות כל אחד ואחד אצל המשנה הראויה והשנויה לה והקשו קושיות שיש להשיב ופירוקים שראוים לתרץ הם והאמוראים שעמהם וקבעו הכל בגמ' כגון איתיביה מיתיבי ורמינהי איבעיא להו והתרוצים שעליהן מה ששיירו אותן שלפניהן ואותן שאמרו לפניהם הקושיות והתירוצין שעליהם לא קבעום בגמ' על סדר המסכתות והמשנה שסידר רבי ובאו רב אשי ורבינא וקבעום:
3. R. Yitzchak Isaac HaLevy in "Dorot Rishonim" - an Orthodox response to Wissenschaft des Judentums / haskalah - but written by someone who knew the Bavli instinctually, allowing for insights from his intuition
Halevy's primary contribution - the pivotal role of Abaya and Rava - "redactors of the proto-Talmud" - who are well-known to all students of the Bavli....

אָמְרוּ עָלָיו עַל רַבָּן יוֹחָנָן בֶּן זַכַּאי שֶׁלֹּא הִנִּיחַ מִקְרָא וּמִשְׁנָה תַּלְמוּד הֲלָכוֹת וְאַגָּדוֹת דִּקְדּוּקֵי תוֹרָה וְדִקְִדּוּקֵי סוֹפְרִים וְקַלִּין וַחֲמוּרִין וּגְזֵרוֹת שָׁווֹת וּתְקוּפוֹת וְגִמַטְרִיָּאוֹת וּמִשְׁלוֹת כּוֹבְסִים וּמִשְׁלוֹת שׁוּעָלִים שִׂיחַת שֵׁדִים וְשִׂיחַת דְּקָלִים וְשִׂיחַת מַלְאֲכֵי הַשָּׁרֵת וְדָבָר גָּדוֹל וְדָבָר קָטָן דָּבָר גָּדוֹל מַעֲשֵׂה מֶרְכָּבָה וְדָבָר קָטָן הֲוָיוֹת דְּאַבָּיֵי וְרָבָא לְקַיֵּים מַה שֶּׁנֶּאֱמַר לְהַנְחִיל אוֹהֲבַי יֵשׁ וְאֹצְרֹתֵיהֶם אֲמַלֵּא

The Sages said about Rabban Yoḥanan ben Zakkai that he did not neglect Bible and Mishna; Talmud; halakhot and aggadot; minutiae of the Torah and minutiae of the scribes; and the hermeneutical principles of the Torah with regard to a fortiori inferences; and verbal analogies; and the calculation of the calendric seasons; and numerical values of Hebrew letters [gimatriyot]; and parables of launderers, which are folktales that can be used to explain the Torah, and parables of foxes. In addition, he did not neglect esoteric matters, including the conversation of demons, and the conversation of palm trees, and the conversation of ministering angels, and more generally, a great matter and a small matter. The Gemara elaborates: A great matter is referring to the secrets of the Design of the Divine Chariot (see Ezekiel, chapter 1), the conduct of the transcendent universe, and a small matter is, for example, halakhot that were ultimately formulated in the framework of the discussions of Abaye and Rava. He did not neglect any of these disciplines, so as to fulfill that which is stated: “That I may cause those that love me to inherit substance and that I may fill their treasuries” (Proverbs 8:21), as Rabban Yoḥanan was filled with the disciplines of Torah and wisdom.
Proof from "double attributions":
A careful analysis of the talmudic text indicates a puzzling phenomenon. Although direct double attribution was by far the most frequent form during the first two generations of Amoraim – at least twice as common as the indirect form – it was completely discontinued after the era of Abbaye and Rava. Indeed, while the Talmud mentions over 200 indirect double attributions of later sages, not even one direct double attribution is indicated. (The only exceptions are instances of direct double attributions that are obvious printing errors, as proven by manuscript readings in these cases.) In those later times, even important disciples such as Rav Papa (ca. 300–375) conveyed teachings using only indirect attributions. Halevy’s theory makes sense of this phenomenon. From Abbaye and Rava’s era onwards, he argues, traditions were preserved and transmitted to future generations as part of a unified and coordinated body of traditions. Traditions that needed preserving and transmitting to future generations were conveyed exclusively to tannaim for memorization, thus eliminating direct double attribution. Traditions were no longer passed down by disciples, since the traditions of all Amoraim, rather than of one or another particular Amora, were preserved together. (Bergmann 99)
4. The role of Rav Ashi - for example, wrapping up an sugya

פַּיִיס הַשֵּׁנִי וְכוּ׳. אִיבַּעְיָא לְהוּ: מִי מְקַבֵּל? שׁוֹחֵט מְקַבֵּל, דְּאִי אָמְרַתְּ זוֹרֵק מְקַבֵּל — אַגַּב חַבִּיבוּתֵיהּ, לָא מְקַבֵּל לֵיהּ לְכוּלֵּיהּ דָּם. אוֹ דִילְמָא: זוֹרֵק מְקַבֵּל, דְּאִי אָמְרַתְּ שׁוֹחֵט מְקַבֵּל — זִימְנִין דְּשָׁחֵיט זָר. תָּא שְׁמַע: בֶּן קָטִין עָשָׂה שְׁנֵים עָשָׂר דַּד לַכִּיּוֹר, כְּדֵי שֶׁיִּהְיוּ שְׁנֵים עָשָׂר אֶחָיו הַכֹּהֲנִים הָעֲסוּקִין בַּתָּמִיד מְקַדְּשִׁין יְדֵיהֶן וְרַגְלֵיהֶן בְּבַת אַחַת. וְאִי סָלְקָא דַעְתָּךְ שׁוֹחֵט מְקַבֵּל, תְּלֵיסַר הָוֵי! אֶלָּא לָאו שְׁמַע מִינַּהּ: זוֹרֵק מְקַבֵּל. שְׁמַע מִינַּהּ. אֲמַר לֵיהּ רַב אַחָא בְּרֵיהּ דְּרָבָא לְרַב אָשֵׁי, אַף אֲנַן נָמֵי תְּנֵינָא: שָׁחַט הַשּׁוֹחֵט, וְקִבֵּל הַמְקַבֵּל, וּבָא לוֹ לִזְרוֹק. שְׁמַע מִינַּהּ.

§ It was taught in the mishna: The second lottery determines who slaughters, who sprinkles the blood, etc. The task of collecting the blood in a vessel, which is between slaughtering and sprinkling, is not mentioned. Therefore, it must be assumed that either the priest who slaughtered or the priest who sprinkled the blood was assigned this task as well. A dilemma was raised before the Sages: Who collects the blood? Is it the one who slaughters the offering who also collects the blood? The reason to support this conclusion is that if you say that the one who sprinkles the blood is the one who collects it, a situation might arise in which, due to his enthusiasm and his love for the mitzva of sprinkling, a service that is considered more important than collecting because it directly involves the altar, the priest might not collect all the blood as the halakha requires but would hurry to go on and sprinkle it after he has collected only some of the blood. Or perhaps one should draw the opposite conclusion, that it is the one who sprinkles that collects the blood, as, if you say that the one who slaughters is the one who collects, this principle could not be universally applied, as sometimes a non-priest slaughters the offering. Slaughtering offerings is not a sacred service and may be performed by anyone, unlike the collection of the blood, which is performed by a priest. In those cases when a non-priest slaughtered the daily offering, he would not be able to collect the blood. The Gemara cites a source as evidence for one side of the argument: Come and hear from that which was taught in a mishna: Ben Katin made twelve spigots for the large laver to replace the original two spouts that were there, so that his twelve fellow priests who were engaged in the sacrifice of the daily offering could all sanctify their hands and feet at one time. Although there are thirteen participants listed in the mishna, the slaughterer of the offering was not required to sanctify his hands and feet because, as mentioned above, slaughtering is not a sacred service. Therefore, only twelve spigots were needed. And if it should enter your mind to say that the one who slaughters is the one who collects the blood, then there are sometimes thirteen participants, so thirteen spigots should be needed. On those occasions when a non-priest slaughtered the daily offering, an extra priest would be required to come and collect its blood. Since the collection of blood is a sacred service, it too requires sanctification of the hands and feet. Rather, since there were only twelve spigots, isn’t it correct to conclude from this that it is the one who sprinkles, and not the one who slaughters, who collects the blood? The Gemara concludes: Conclude from this that it is so. Rav Aḥa, son of Rava, said to Rav Ashi: We too have learned a support for this conclusion in a mishna that gives the sequence of the services for the daily offering: The slaughterer of the offering slaughtered, the collector of its blood collected, and he then comes to sprinkle the blood. The wording indicates that the one who collects the blood is also the one who subsequently sprinkles it. The Gemara concludes: Conclude from this that it is so.
5. What about the stam?

תניא רבי נתן אומר ב"ש אומרים שני זכרים ושתי נקבות ובה"א זכר ונקבה

א"ר הונא מ"ט דרבי נתן אליבא דב"ש דכתיב (בראשית ד, ב) ותוסף ללדת את אחיו את הבל הבל ואחותו קין ואחותו וכתיב (בראשית ד, כה) כי שת לי אלהים זרע אחר תחת הבל כי הרגו קין

ורבנן אודויי הוא דקא מודית

§ It is taught in a baraita that Rabbi Natan says that Beit Shammai say: The mitzva to be fruitful and multiply is fulfilled with two males and two females. And Beit Hillel say: A male and a female. Rav Huna said: What is the reason of Rabbi Natan, in accordance with the opinion of Beit Shammai? It is as it is written: “And again she bore his brother [et aḥiv] Abel [et Hevel]” (Genesis 4:2). The use of the superfluous word “et” indicates that she gave birth to Abel and his sister, in addition to Cain and his sister. And it states: “For God has appointed me another seed instead of Abel; for Cain slew him” (Genesis 4:25). This indicates that one must have at least four children. And the Rabbis, how do they understand this verse? In their opinion, Eve was thanking God for granting her another child, but one is not obligated to have four children.

מַתְנִי׳ לֹא יֵשֵׁב אָדָם לִפְנֵי הַסַּפָּר סָמוּךְ לַמִּנְחָה עַד שֶׁיִּתְפַּלֵּל. לֹא יִכָּנֵס אָדָם לַמֶּרְחָץ, וְלֹא לַבּוּרְסְקִי, וְלֹא לֶאֱכוֹל, וְלֹא לָדִין, וְאִם הִתְחִילוּ — אֵין מַפְסִיקִין. מַפְסִיקִין לִקְרוֹת קְרִיאַת שְׁמַע וְאֵין מַפְסִיקִין לִתְפִלָּה. גְּמָ׳ הֵי ״סָמוּךְ לַמִּנְחָה״? אִילֵּימָא לְמִנְחָה גְּדוֹלָה — אַמַּאי לָא? הָאִיכָּא שְׁהוּת בַּיּוֹם טוּבָא! אֶלָּא סָמוּךְ לְמִנְחָה קְטַנָּה. אִם הִתְחִילוּ אֵין מַפְסִיקִין. נֵימָא תֶּיהְוֵי תְּיוּבְתָּא דְּרַבִּי יְהוֹשֻׁעַ בֶּן לֵוִי, דְּאָמַר רַבִּי יְהוֹשֻׁעַ בֶּן לֵוִי: כֵּיוָן שֶׁהִגִּיעַ זְמַן תְּפִלַּת הַמִּנְחָה, אָסוּר לְאָדָם שֶׁיִּטְעוֹם כְּלוּם קוֹדֶם שֶׁיִּתְפַּלֵּל תְּפִלַּת הַמִּנְחָה. לָא: לְעוֹלָם סָמוּךְ לְמִנְחָה גְּדוֹלָה — וּבְתִסְפּוֹרֶת בֶּן אֶלְעָשָׂה. וְלֹא לַמֶּרְחָץ — לְכוּלַּהּ מִילְּתָא דְּמֶרְחָץ. וְלֹא לְבוּרְסְקִי — לְבוּרְסְקִי גְּדוֹלָה. וְלֹא לֶאֱכוֹל — בִּסְעוּדָה גְּדוֹלָה. וְלֹא לָדִין — בִּתְחִלַּת דִּין.

רַב אַחָא בַּר יַעֲקֹב אָמַר: לְעוֹלָם בְּתִסְפּוֹרֶת דִּידַן, לְכַתְּחִילָּה אַמַּאי לֹא יֵשֵׁב — גְּזֵירָה שֶׁמָּא יִשָּׁבֵר הַזּוּג. וְלֹא לַמֶּרְחָץ — לְהַזִּיעַ בְּעָלְמָא. לְכַתְּחִלָּה אַמַּאי לָא — גְּזֵירָה שֶׁמָּא יִתְעַלְּפֶה. וְלֹא לַבּוּרְסְקִי — לְעַיּוֹנֵי בְּעָלְמָא. לְכַתְּחִלָּה אַמַּאי לָא — דִּילְמָא חָזֵי פְּסֵידָא בִּזְבִינֵיהּ וּמִטְּרִיד. וְלֹא לֶאֱכוֹל — בִּסְעוּדָה קְטַנָּה. לְכַתְּחִלָּה אַמַּאי לָא — דִילְמָא אָתֵי לְאִמְּשׁוֹכֵי. וְלֹא לָדִין — בִּגְמַר הַדִּין. לְכַתְּחִלָּה אַמַּאי לָא — דִילְמָא חָזֵי טַעְמָא וְסָתַר דִּינָא.

MISHNA: After having dealt with the limited and defined topic of the halakhot of carrying out on Shabbat, the mishna begins to deal with the halakhot of Shabbat chronologically, beginning with activities that one may not perform prior to the onset of Shabbat. With regard to one’s daily conduct, the mishna says: A person may not sit before the barber adjacent to the time of minḥa until he recites the afternoon prayer. And a person may not enter the bathhouse and may not enter to work in a tannery [burseki]. And he may neither begin to eat a meal nor to sit in judgment until he prays. And however, if they already began engaging in those activities, they need not stop and recite the Amida prayer. The tanna articulated a principle: One stops engaging in all of these activities to recite Shema and one does not stop to recite the Amida prayer. GEMARA: First, the Gemara seeks to clarify: Which “adjacent to minḥa,” in other words, adjacent to which minḥa is the mishna referring? There is a difference between the time of greater minḥa [minḥa gedola], which begins approximately a half hour after noon, and the time of lesser minḥa [minḥa ketana], which begins approximately two and a half hours before sunset. The Gemara elaborates: If you say that it is prohibited to perform all of these activities adjacent to minḥa gedola, why not? Isn’t there still much time remaining in the day? Rather, the mishna means adjacent to minḥa ketana. The Gemara asks: In that case, if they started, they need not stop. Let us say that this will be a conclusive refutation of the opinion of Rabbi Yehoshua ben Levi, as Rabbi Yehoshua ben Levi said: Once the time of the afternoon prayer has arrived, it is prohibited for a person to taste anything before he recites the afternoon prayer. The implication is that even if one began to eat he must stop. Rather, that explanation is rejected and the Gemara says: Actually the mishna is referring to adjacent to minḥa gedola, and the statement of Rabbi Yehoshua ben Levi is dealing with adjacent to minḥa ketana. In response to the question: If the mishna means adjacent to minḥa gedola isn’t there significant time remaining in the day? The Gemara explains that each of the activities enumerated in the mishna is performed in an especially time-consuming manner. When the mishna said: A person may not sit before the barber, it was referring to a haircut of ben Elasa, whose haircut was very complicated and required several hours to complete. When the mishna said: A person may not go into the bathhouse adjacent to minḥa, it was referring to all matters involved in a visit to the bathhouse; not only washing, but also washing one’s hair, rinsing, and sweating. And he may not enter the tannery adjacent to minḥa, the reference is to a large tannery where there are many hides that require tanning and he must initiate the tanning process from the beginning. And he may not enter to eat, the reference is to a big meal, which lasts a long time. And he may not enter to sit in judgment, refers to a judge who enters at the beginning of the trial, and, generally, it will take a long time until a verdict is reached. Rav Aḥa bar Ya’akov said: Indeed the mishna can be explained as referring to minḥa gedola and actually, even our ordinary haircut is prohibited. Ab initio, why may he not sit before the barber adjacent to the time of minḥa? Due to a decree lest the scissors break, and considerable time pass until they repair the scissors or obtain others. When the mishna said: A person may not enter the bathhouse adjacent to minḥa, it is prohibited even if he is entering just to sweat. Ab initio, why may he not enter? Due to a decree issued by the Sages lest he faint in the bathhouse and considerable time elapse until he recovers. And he may not enter the tannery adjacent to minḥa, even if he intends just to examine the skins. Ab initio, why may he not enter? Due to the concern that perhaps he will notice damage to his merchandise and become anxious and come to restore what was ruined. And he may not enter to eat a meal adjacent to the time of minḥa is referring even to a small meal. Ab initio, why may he not enter? There is concern that perhaps he will come to extend his meal for a long time. And he may not enter to sit in judgment adjacent to the time of minḥa, the mishna is referring even at the conclusion of the trial. Ab initio, why may he not enter? Due to concern that perhaps he will find a reason, contrary to what he originally thought, and will overturn the verdict completely, necessitating the restart of the trial from the beginning.

בן אלעשה - חתנו של רבי היה ופזר מעות ללמוד תספורת של כ"ג [נדרי' נא.] שהיה מספר כל ראשו ולא לגמרי אלא מניח כל השערות קצת כדי שיהא ראשו של זה בצד עיקרו של זה והיינו כסום יכסמו [את ראשיהם] (יחזקאל מ״ד:כ׳) ומימשיך טובא: לכולא מילתא דמרחץ - לחוף ראשו ולהשתטף בחמין ובצונן ולהזיע: בורסקי גדולה - עורות הרבה ובתחלת תקונן:

בתספורת של בן אלעשה כו' - נראה דהכי הלכתא ושרי סעודה קטנה במנחה גדולה עד זמן תפלה ודוקא סעודה גדולה כגון סעודת אירוסין ונשואין וסעודת מילה אסור ודלא כרב אחא בר יעקב דאסר אפילו סעודה קטנה סמוך למנחה גדולה דהלכה כלישנא קמא דסתם לן הש"ס ורב אשי שהוא בתראה סידר את הש"ס והלכתא כותיה לגבי רב אחא בר יעקב ואמאי דאמר לקמן מאימתי התחלת דין אין להוכיח דמתניתין איירי בתחלת הדין דלא כרב אחא דאיכא למימר דקאי אאם התחילו אין מפסיקין ומיהו סמוך למנחה קטנה אסור אפילו סעודה קטנה ואם התחילו מפסיקין ואע"ג דהש"ס אי לאו דר' יהושע בן לוי הוה מוקי לה בסעודה קטנה וסמוך למנחה קטנה ואם התחילו אין מפסיקין ולא קי"ל כר' יהושע בן לוי כדאמר בפרק תפלת השחר (ברכות כח:) מ"מ כיון דמסיק סתם הש"ס הכי משמע דבהא דאם התחילו מפסיקין קיימא לן כוותיה ודוקא בהא דאמר דאסור לטעום אפילו פירות לא קיימא לן כוותיה:

6. What was the final compilation?
Persian persecutions led to the Saboraim, (R Sherira Gaon / Meiri), alluded to here:

רַבִּי בְּרוֹקָא חוֹזָאָה הֲוָה שְׁכִיחַ בְּשׁוּקָא דְּבֵי לָפָט הֲוָה שְׁכִיחַ אֵלִיָּהוּ גַּבֵּיהּ אֲמַר לֵיהּ אִיכָּא בְּהַאי שׁוּקָא בַּר עָלְמָא דְּאָתֵי אֲמַר לֵיהּ לָא אַדְּהָכִי וְהָכִי חֲזָא לְהָהוּא גַּבְרָא דַּהֲוָה סָיֵים מְסָאנֵי אוּכָּמֵי וְלָא רְמֵי חוּטָא דִתְכֵלְתָּא בִּגְלִימֵיהּ אֲמַר לֵיהּ הַאי בַּר עָלְמָא דְּאָתֵי הוּא רְהַט בָּתְרֵיהּ אֲמַר לֵיהּ מַאי עוֹבָדָךְ אֲמַר לֵיהּ זִיל הָאִידָּנָא וְתָא לִמְחַר לִמְחַר אֲמַר לֵיהּ מַאי עוֹבָדָךְ אֲמַר לֵיהּ זַנְדּוּקְנָא אֲנָא וְאָסַרְנָא גַּבְרֵי לְחוֹד וְנָשֵׁי לְחוֹד וְרָמֵינָא פּוּרְיַיאי בֵּין הָנֵי לְהָנֵי כִּי הֵיכִי דְּלָא לֵיתוֹ לִידֵי אִיסּוּרָא כִּי חָזֵינָא בַּת יִשְׂרָאֵל דְּיָהֲבִי נׇכְרִים עֲלַהּ עֵינַיְיהוּ מָסַרְנָא נַפְשַׁאי וּמַצֵּילְנָא לַהּ יוֹמָא חַד הֲווֹת נַעֲרָה מְאוֹרָסָה גַּבַּן דִּיהַבוּ בָּהּ נׇכְרִים עֵינַיְיהוּ שְׁקַלִי דּוּרְדְּיָיא דְּחַמְרָא וּשְׁדַאי לַהּ בְּשִׁיפּוּלַהּ וַאֲמַרִי דַּשְׁתָּנָא הִיא אֲמַר לֵיהּ מַאי טַעְמָא לֵית לָךְ חוּטֵי וּרְמֵית מְסָאנֵי אוּכָּמֵי אֲמַר לֵיהּ עָיֵילְנָא וְנָפֵיקְנָא בֵּינֵי נׇכְרִים כִּי הֵיכִי דְּלָא לִידְּעוּ דִּיהוּדָאָה אֲנָא כִּי הָווּ גָּזְרִי גְּזֵירְתָּא מוֹדַעְנָא לְהוּ לְרַבָּנַן וּבָעוּ רַחֲמֵי וּמְבַטְּלִי לִגְזֵירְתַּיְיהוּ וּמַאי טַעְמָא כִּי אָמֵינָא לָךְ אֲנָא מַאי עוֹבָדָךְ וַאֲמַרְתְּ לִי זִיל הָאִידָּנָא וְתָא לִמְחַר אֲמַר לֵיהּ בְּהַהִיא שַׁעְתָּא גָּזְרִי גְּזֵירְתָּא וְאָמֵינָא בְּרֵישָׁא אֵיזִיל וְאֶשְׁמְעַ[הּ] וְאֶשְׁלַח לְהוּ לְרַבָּנַן דְּלִבְעוֹ רַחֲמֵי עֲלַהּ דְּמִילְּתָא

§ The Gemara relates another story about the righteousness of common people. Rabbi Beroka Ḥoza’a was often found in the market of Bei Lefet, and Elijah the Prophet would often appear to him. Once Rabbi Beroka said to Elijah: Of all the people who come here, is there anyone in this market worthy of the World-to-Come? He said to him: No. In the meantime, Rabbi Beroka saw a man who was wearing black shoes, contrary to Jewish custom, and who did not place the sky-blue, dyed thread of ritual fringes on his garment. Elijah said to Rabbi Beroka: That man is worthy of the World-to-Come. Rabbi Beroka ran after the man and said to him: What is your occupation? The man said to him: Go away now, as I have no time, but come back tomorrow and we will talk. The next day, Rabbi Beroka arrived and again said to him: What is your occupation? The man said to him: I am a prison guard [zandukana], and I imprison the men separately and the women separately, and I place my bed between them so that they will not come to transgression. When I see a Jewish woman upon whom gentiles have set their eyes, I risk my life to save her. One day, there was a betrothed young woman among us, upon whom the gentiles had set their eyes. I took dregs [durdayya] of red wine and threw them on the lower part of her dress, and I said: She is menstruating [dastana], so that they would leave her alone. Rabbi Beroka said to him: What is the reason that you do not have threads of ritual fringes, and why do you wear black shoes? The man said to him: Since I come and go among gentiles, I dress this way so that they will not know that I am a Jew. When they issue a decree, I inform the Sages, and they pray for mercy and annul the decree. Rabbi Beroka further inquired: And what is the reason that when I said to you: What is your occupation, you said to me: Go away now but come tomorrow? The man said to him: At that moment, they had just issued a decree, and I said to myself: First I must go and inform the Sages, so that they will pray for mercy over this matter.
7. Wait - did anyone really write the Gemara?
"Pervasive Orality" - R Yaakov Elman
דר' יוחנן ור"ש בן לקיש מעייני בספרא דאגדתא בשבתא והא לא ניתן ליכתב אלא כיון דלא אפשר (תהלים קיט, קכו) עת לעשות לה' הפרו תורתך ה"נ כיון דלא אפשר עת לעשות לה' הפרו תורתך
And a proof for this is that Rabbi Yoḥanan and Rabbi Shimon ben Lakish used to read from a scroll of aggada containing the words of the Sages on Shabbat. But such a scroll may not be written, for in principle, the statements of the Oral Law may not be committed to writing. Rather, since it is not possible to remember the Oral Law without writing it down, it is permitted to violate the halakha, as indicated by the verse: “It is time to act for the Lord; they have nullified your Torah” (Psalms 119:126). Here too, in the case of a haftara scroll, since it is not always possible to write complete books of the Bible, due to the expense, it is permitted to apply the reasoning of “It is time to act for the Lord; they have nullified your Torah.”
Note that this is an "Israeli" source - more difficult to continue oral tradition there

א"ר אלעזר תורה רוב בכתב ומיעוט על פה שנא' (הושע ח, יב) אכתוב לו רובי תורתי כמו זר נחשבו ור' יוחנן אמר רוב על פה ומיעוט בכתב שנא' (שמות לד, כז) כי על פי הדברים האלה ואידך נמי הכתיב אכתוב לו רובי תורתי ההוא אתמוהי קא מתמה אכתוב לו רובי תורתי הלא כמו זר נחשבו ואידך נמי הכתיב כי על פי הדברים האלה ההוא משום דתקיפי למיגמרינהו דרש רבי יהודה בר נחמני מתורגמניה דרבי שמעון בן לקיש כתיב (שמות לד, כז) כתוב לך את הדברים האלה וכתיב (שמות לד, כז) כי ע"פ הדברים האלה הא כיצד דברים שבכתב אי אתה רשאי לאומרן על פה דברים שבעל פה אי אתה רשאי לאומרן בכתב דבי רבי ישמעאל תנא אלה אלה אתה כותב ואי אתה כותב הלכות א"ר יוחנן לא כרת הקב"ה ברית עם ישראל אלא בשביל דברים שבעל פה שנאמר (שמות לד, כז) כי על פי הדברים האלה כרתי אתך ברית ואת ישראל:

§ The Gemara continues its discussion concerning the writing of the Torah: Rabbi Elazar says: The majority of the Torah was transmitted in writing, while the minority was transmitted orally, as it is stated: “I wrote for him the greater part of My Torah; they were reckoned a strange thing” (Hosea 8:12), meaning that the majority of the Torah was transmitted in written form. And Rabbi Yoḥanan says: The majority of the Torah was transmitted orally [al peh], while the minority was transmitted in writing, as it is stated with regard to the giving of the Torah to Moses on Mount Sinai: “For on the basis of [al pi] these matters I have made a covenant with you and with Israel” (Exodus 34:27), which indicates that the greater part of the Sinaitic covenant was taught orally. The Gemara asks: And according to the other Sage, Rabbi Yoḥanan, as well, isn’t it written: “I wrote for him the greater part of My Torah”? How does he understand this verse? The Gemara answers: This verse is not a statement, but rather a rhetorical question expressing bewilderment: For did I write for him the greater part of My Torah? In that case they, the Jewish people, would be reckoned as strangers, meaning that there would be no difference between them and the nations of the world if everything was written down. Rather, the majority of the Torah must remain an oral tradition. The Gemara asks: And according to the other Sage, Rabbi Elazar, as well, isn’t it written: “For on the basis of these matters I have made a covenant with you and with Israel”? How does he understand this verse? The Gemara answers: That verse, which indicates that the covenant was based on that which was taught by oral tradition, is stated due to the fact that it is more difficult to learn matters transmitted orally, but not because these matters are more numerous than those committed to writing. Rabbi Yehuda bar Naḥmani, the disseminator for Rabbi Shimon ben Lakish, expounded as follows: It is written: “Write you these matters” (Exodus 34:27), and it is written later in that same verse: “For on the basis of [al pi] these matters.” How can these texts be reconciled? They mean to teach: Matters that were written you may not express them orally [al peh], and matters that were taught orally you may not express them in writing. The school of Rabbi Yishmael taught: The word “these” in the mitzva recorded in the verse “Write you these matters” is used here in an emphatic sense: These matters, i.e., those recorded in the Written Law, you may write, but you may not write halakhot, i.e., the mishnayot and the rest of the Oral Law. Rabbi Yoḥanan says: The Holy One, Blessed be He, made a covenant with the Jewish people only for the sake of the matters that were transmitted orally [be’al peh], as it is stated: “For on the basis of [al pi] these matters I have made a covenant with you and with Israel” (Exodus 34:27).

אֲמַר לֵיהּ: וְכִי תּוֹרָה פְּעָמִים פְּעָמִים נִיתְּנָה? אֶלָּא — הַלָּלוּ מִדִּבְרֵי תוֹרָה, וְהַלָּלוּ מִדִּבְרֵי סוֹפְרִים. דָּרֵשׁ רָבָא, מַאי דִּכְתִיב: ״וְיוֹתֵר מֵהֵמָּה בְּנִי הִזָּהֵר עֲשׂוֹת סְפָרִים הַרְבֵּה וְגוֹ׳״ — בְּנִי, הִזָּהֵר בְּדִבְרֵי סוֹפְרִים יוֹתֵר מִדִּבְרֵי תוֹרָה. שֶׁדִּבְרֵי תוֹרָה יֵשׁ בָּהֶן עֲשֵׂה וְלֹא תַעֲשֶׂה. וְדִבְרֵי סוֹפְרִים — כׇּל הָעוֹבֵר עַל דִּבְרֵי סוֹפְרִים חַיָּיב מִיתָה. שֶׁמָּא תֹּאמַר: אִם יֵשׁ בָּהֶן מַמָּשׁ, מִפְּנֵי מָה לֹא נִכְתְּבוּ?! אָמַר קְרָא: ״עֲשׂוֹת סְפָרִים הַרְבֵּה אֵין קֵץ״.

Rav Ḥisda said to him: This cannot be so, for was the Torah given on two separate occasions, i.e., were the more lenient and more stringent mitzvot given separately? Rather, these, the old, are mitzvot from the Torah, and these, the new, are from the Sages. Rava expounded another verse in similar fashion: What is the meaning of that which is written: “And more than these, my son, be careful: of making many books [sefarim] there is no end; and much study is a weariness of the flesh” (Ecclesiastes 12:12)? My son, be careful to fulfill the words of the Sages [soferim] even more than the words of the Torah. For the words of the Torah include positive and negative commandments, and even with regard to the negative commandments, the violation of many of them is punishable only by lashes. Whereas with respect to the words of the Sages, anyone who transgresses the words of the Sages is liable to receive the death penalty, as it is stated: “And whoever breaches through a hedge, a snake shall bite him” (Ecclesiastes 10:8), taking hedges to refer metaphorically to decrees. Lest you say: If the words of the Sages are of substance and have such great importance, why were they not written in the Torah, therefore, the verse states: “Of making many books there is no end,” meaning that it is impossible to fully commit the Oral Torah to writing, as it is boundless.
ויותר מהמה - לעיל מיניה כתיב דברי חכמים כדרבונות אלו דברי תורה שנמסרו למשה על פה שנחלקו בה חכמי ישראל לאחר שנתמעט הלב ושכחו כדכתיב בסיפיה דקרא נתנו מרועה אחד זה משה וכתיב בתריה ויותר מהמה בני הזהר ממה שניתן בסיני בכתב שהוא עיקר בני הזהר באלו שבעל פה שגם הם עיקר אלא לכך לא נכתבו שאין קץ לעשות ספרים הרבה בכל אלה:

ואמר רב יהודה אמר רב תלמיד חכם צריך שילמוד ג' דברים כתב שחיטה ומילה ורב חנניא בר שלמיא משמיה דרב אמר אף קשר של תפילין וברכת חתנים וציצית ואידך הני שכיחן

§ And Rav Yehuda says that Rav says: A Torah scholar is required to learn the requisite skills to perform three matters: Writing, so that he will be able to write texts on various occasions, ritual slaughter, and circumcision. And Rav Ḥananya bar Shelamya says in the name of Rav: He must also learn to tie the knot of the phylacteries, and to recite the blessing of the grooms by heart and with the traditional intonation, and to tie ritual fringes to the corners of a garment. The Gemara notes: And the other amora, Rav Yehuda, holds that those skills are commonplace and do not require special training.

כתב - לכתוב שידע לחתום שמו אילו ישב בדין או לעדות: שחיטה - לאמן ידו לכך אפילו שבקי בהלכותיה: קשר של תפילין - יש בו אומנות שעשוי כמו אות דלי"ת שיהא נראה בה שדי השי"ן חקוקה בקמטי התפר כעין שי"ן ורצועה קטנה כפולה ותלויה כעין יו"ד והקשר עשוי כעין ד': הני שכיחן - תפילין וציצית וברכת חתנים מצויין תדיר הלכך הכל בקיאין בהם ואין צריכין לימוד שמעצמו יהיה בקי בהם:

HaMeiri, Sefer HaKabbalah, end of chapter 5:
[During the Saboraim] they still learned the Talmud orally, because they had not widely disseminated ("nitpashat mikol v'kol") written Gemaras.
Chapter 7:
[During the times of the Geonim] they had memorized the entire Talmud, or close to it, and they were as familiar with it as k'riat sh'ma... only a few of them wrote anything down, such as final rulings...
8. Ultimately, who is "writing" Torah Shel Ba'al Peh? What is the source of authority?
Bergmann: Halevy tried to prove that Rav Ashi/Ravina created a central "va'ad" to establish the authority of the Gemara... just like the Moetzes Gedolei Torah of Agudah Yisrael, which Halevy helped found
Main problem - no proof that this "va'ad" existed - a forced reading for political purposes
Against this view: R. Chaim Soloveitchik's "18 demands" against the Agudah - never officially released, but R. Moshe Soloveitchik said a large issue was that the leaders should be nominated by the general community - bottom-up, not top-down
R. Moshe Feinstein's view.... (NY Times, 5/5/75)
Conclusion - Who is really in charge of Jewish history?

בָּרוּךְ אַתָּה ה' אֱלהֵינוּ מֶלֶךְ הָעולָם. אֲשֶׁר בָּחַר בִּנְבִיאִים טובִים. וְרָצָה בְדִבְרֵיהֶם הַנֶּאֱמָרִים בֶּאֱמֶת. בָּרוּךְ אַתָּה ה'. הַבּוחֵר בַּתּורָה וּבְמשֶׁה עַבְדּו. וּבְיִשרָאֵל עַמּו. וּבִנְבִיאֵי הָאֱמֶת וְהַצֶּדֶק: