Mishnah Chagigah 2:1

They may not expound upon the subject of forbidden relations in the presence of three. Nor the work of creation in the presence of two. Nor [the work of] the chariot in the presence of one, unless he is a sage and understands of his own knowledge. Whoever speculates upon four things, it would have been better had he not come into the world: what is above, what is beneath, what came before, and what came after. And whoever takes no thought for the honor of his creator, it would have been better had he not come into the world.

אֵין דּוֹרְשִׁין בַּעֲרָיוֹת בִּשְׁלֹשָׁה. וְלֹא בְמַעֲשֵׂה בְרֵאשִׁית בִּשְׁנַיִם. וְלֹא בַמֶּרְכָּבָה בְּיָחִיד, אֶלָּא אִם כֵּן הָיָה חָכָם וּמֵבִין מִדַּעְתּוֹ. כָּל הַמִּסְתַּכֵּל בְּאַרְבָּעָה דְּבָרִים, רָאוּי לוֹ כְּאִלּוּ לֹא בָּא לָעוֹלָם, מַה לְּמַעְלָה, מַה לְּמַטָּה, מַה לְּפָנִים, וּמַה לְּאָחוֹר. וְכָל שֶׁלֹּא חָס עַל כְּבוֹד קוֹנוֹ, רָאוּי לוֹ שֶׁלֹּא בָּא לָעוֹלָם:

Babylonian Talmud, Folio 11b–16a
Jerusalem Talmud, Halakhah 2:1

Mishnah Chagigah 2:2

Yose ben Yoezer says that [on a festival] the laying of the hands [on the head of a sacrifice] may not be performed. Yosef ben Johanan says that it may be performed. Joshua ben Perahia says that it may not be performed. Nittai the Arbelite says that it may be performed. Judah ben Tabai says that it may not be performed. Shimon ben Shetah says that it may be performed. Shamayah says that it may be performed. Avtalyon says that it may not be performed. Hillel and Menahem did not dispute. Menahem went out, Shammai entered. Shammai says that it may not be performed. Hillel says that it may be performed. The former [of each] pair were patriarchs and the latter were heads of the court.

יוֹסֵי בֶּן יוֹעֶזֶר אוֹמֵר שֶׁלֹּא לִסְמוֹךְ, יוֹסֵי בֶּן יוֹחָנָן אוֹמֵר לִסְמוֹךְ. יְהוֹשֻׁעַ בֶּן פְּרַחְיָה אוֹמֵר שֶׁלֹּא לִסְמוֹךְ, נִתַּאי הָאַרְבֵּלִי אוֹמֵר לִסְמוֹךְ. יְהוּדָה בֶּן טַבַּאי אוֹמֵר שֶׁלֹּא לִסְמוֹךְ, שִׁמְעוֹן בֶּן שָׁטָח אוֹמֵר לִסְמוֹךְ. שְׁמַעְיָה אוֹמֵר לִסְמוֹךְ. אַבְטַלְיוֹן אוֹמֵר שֶׁלֹּא לִסְמוֹךְ. הִלֵּל וּמְנַחֵם לֹא נֶחְלְקוּ. יָצָא מְנַחֵם, נִכְנַס שַׁמַּאי. שַׁמַּאי אוֹמֵר שֶׁלֹּא לִסְמוֹךְ, הִלֵּל אוֹמֵר לִסְמוֹךְ. הָרִאשׁוֹנִים הָיוּ נְשִׂיאִים, וּשְׁנִיִּים לָהֶם אַב בֵּית דִּין:

Babylonian Talmud, Folio 16a–17a
Jerusalem Talmud, Halakhah 2:2

Mishnah Chagigah 2:3

Bet Shammai say: They may bring thanksgiving offerings [on Yom Tov] but they may not lay their hands on them, and [they may not bring] wholly burnt-offerings. And Bet Hillel say: They may bring thanksgiving offerings and wholly burnt-offerings and lay their hands on them.

בֵּית שַׁמַּאי אוֹמְרִים, מְבִיאִין שְׁלָמִים וְאֵין סוֹמְכִין עֲלֵיהֶם, אֲבָל לֹא עוֹלוֹת. וּבֵית הִלֵּל אוֹמְרִים, מְבִיאִין שְׁלָמִים וְעוֹלוֹת וְסוֹמְכִין עֲלֵיהֶם:

Babylonian Talmud, Folio 17a–18a (on Mishnah 2:3–4)
Jerusalem Talmud, Halakhah 2:3

Mishnah Chagigah 2:4

Atzeret (Shavuot) which fell on a Friday: Bet Shammai say: the day of the slaughter [of the wholly burnt offerings] is after Shabbat. And Bet Hillel say: the day of the slaughter is not after Shabbat. They agree, however, that if it falls on Shabbat, the day of the slaughter is after Shabbat. The high priest does not [in that case] put on his [special] garments, and mourning and fasting are permitted, in order not to confirm the view of those who say that Atzeret is after Shabbat.

עֲצֶרֶת שֶׁחָל לִהְיוֹת בְּעֶרֶב שַׁבָּת, בֵּית שַׁמַּאי אוֹמְרִים, יוֹם טְבוֹחַ אַחַר הַשַּׁבָּת. וּבֵית הִלֵּל אוֹמְרִים, אֵין יוֹם טְבוֹחַ אַחַר הַשַּׁבָּת. וּמוֹדִים שֶׁאִם חָל לִהְיוֹת בְּשַׁבָּת, שֶׁיּוֹם טְבוֹחַ אַחַר הַשַּׁבָּת. וְאֵין כֹּהֵן גָּדוֹל מִתְלַבֵּשׁ בְּכֵלָיו, וּמֻתָּרִין בְּהֶסְפֵּד וּבְתַעֲנִית, שֶׁלֹּא לְקַיֵּם דִּבְרֵי הָאוֹמְרִין עֲצֶרֶת אַחַר הַשַּׁבָּת:

The Babylonian Talmud discusses this mishnah with 2:3 above.

Jerusalem Talmud, Halakhah 2:4

Mishnah Chagigah 2:5

They wash hands for [eating] unconsecrated [food], and [second] tithe, and for terumah [heave-offering]. But for sacred food they must immerse [their hands in a mikveh]. With regard to the [water of] purification, if one’s hands became impure, one’s [whole] body is impure.

נוֹטְלִין לַיָּדַיִם לְחֻלִּין וּלְמַעֲשֵׂר וְלִתְרוּמָה. וּלְקֹדֶשׁ, מַטְבִּילִין. וּלְחַטָּאת, אִם נִטְמְאוּ יָדָיו, נִטְמָא גוּפוֹ:

Babylonian Talmud, Folio 18b–20b (on Mishnah 2:5–7)
Jerusalem Talmud, Halakhah 2:5

Mishnah Chagigah 2:6

If he immersed for unconsecrated [food], and was presumed to be fit to eat unconsecrated [food], he is prohibited from [eating second] tithe. If he immersed for [second] tithe, and was presumed to be fit to eat [second] tithe, he is prohibited from [eating] terumah. If he immersed for terumah, and was presumed to be fit to eat terumah, he is prohibited from [eating] holy things. If he immersed for holy things, and was presumed to be fit to eat holy things he is prohibited from [touching the waters of] purification. If one immersed for something possessing a stricter [degree of holiness], one is permitted [to have contact with] something possessing a lighter [degree of holiness]. If he immersed but without special intention, it is as though he had not immersed.

הַטּוֹבֵל לְחֻלִּין וְהֻחְזַק לְחֻלִּין, אָסוּר לְמַעֲשֵׂר. טָבַל לְמַעֲשֵׂר וְהֻחְזַק לְמַעֲשֵׂר, אָסוּר לִתְרוּמָה. טָבַל לִתְרוּמָה, וְהֻחְזַק לִתְרוּמָה, אָסוּר לְקֹדֶשׁ. טָבַל לְקֹדֶשׁ וְהֻחְזַק לְקֹדֶשׁ, אָסוּר לְחַטָּאת. טָבַל לְחָמוּר, מֻתָּר לְקַל. טָבַל וְלֹא הֻחְזַק, כְּאִלּוּ לֹא טָבָל:

The Babylonian Talmud discusses this mishnah with 2:5 above.

Jerusalem Talmud, Halakhah 2:6

Mishnah Chagigah 2:7

The garments of an am haaretz possess midras-impurity for Pharisees. The garments of Pharisees possess midras-impurity for those who eat terumah. The garments of those who eat terumah possess midras-impurity for [those who eat] sacred things. The garments of [those who eat] sacred things possess midras-impurity for [those who occupy themselves with the waters of] purification. Yose ben Yoezer was the most pious in the priesthood, yet his apron was [considered to possess] midras-impurity for [those who ate] sacred things. Yohanan ben Gudgada all his life used to eat [unconsecrated food] in accordance with the purity required for sacred things, yet his apron was [considered to possess] midras-impurity for [those who occupied themselves with the water of] purification.

בִּגְדֵי עַם הָאָרֶץ מִדְרָס לַפְּרוּשִׁין. בִּגְדֵי פְרוּשִׁין מִדְרָס לְאוֹכְלֵי תְרוּמָה. בִּגְדֵי אוֹכְלֵי תְרוּמָה מִדְרָס לַקֹּדֶשׁ. בִּגְדֵי קֹדֶשׁ מִדְרָס לְחַטָּאת. יוֹסֵף בֶּן יוֹעֶזֶר הָיָה חָסִיד שֶׁבַּכְּהֻנָּה, וְהָיְתָה מִטְפַּחְתּוֹ מִדְרָס לַקֹּדֶשׁ. יוֹחָנָן בֶּן גֻּדְגְּדָא הָיָה אוֹכֵל עַל טָהֳרַת הַקֹּדֶשׁ כָּל יָמָיו, וְהָיְתָה מִטְפַּחְתּוֹ מִדְרָס לַחַטָּאת:

The Babylonian Talmud discusses this mishnah with 2:5 above.

Jerusalem Talmud, Halakhah 2:7

The Mishnah: English translation: Joshua Kulp, Mishnah Yomit (Conservative Yeshiva), via Sefaria, licensed CC BY; changes made (line breaks, spacing, a typo, and Kulp's study notes removed from five mishnayot). Hebrew: Torat Emet 357, public domain; Bikkurim chapter 4 from Dan Be'eri's edition of the Kaufmann manuscript, public domain.

The Jerusalem Talmud: English translation and Hebrew/Aramaic text: Heinrich W. Guggenheimer, The Jerusalem Talmud: Edition, Translation, and Commentary (Berlin: De Gruyter, 1999-2015), via Sefaria, licensed CC BY 4.0; changes made (his footnotes and the page markers removed).

The Babylonian Talmud: English: Berakhot, A. Cohen, The Babylonian Talmud: Tractate Berakot (Cambridge University Press, 1921), public domain; Sukkah and Megillah, Daf Shevui (Conservative Yeshiva), CC0; Ta'anit, Henry Malter, The Treatise Ta'anit of the Babylonian Talmud (Jewish Publication Society, 1928), public domain; Chagigah, A. W. Streane, A Translation of the Treatise Chagigah from the Babylonian Talmud (Cambridge University Press, 1891), public domain; Makkot, Sefaria Community Translation, CC0. Hebrew and Aramaic: Ta'anit, Malter's critical text (1928, public domain; his notes not reproduced); the others, Wikisource Talmud Bavli (Vilna edition), via Sefaria, licensed CC BY-SA 3.0 (this site's cleaned copy of that text is shared under the same license); changes made (markup and images removed).