A long mishnah (or a series that are published together): If a get is written with a name of a place that is not legitimate... Or other goofs in location... If other details are wrong... When is the get not a get? Plus, how a get that is not a get can really mess up a second marriage, and children from the second marriage. Plus, co-wives are treated like the divorcing woman too. Also, a deeper dive into the country that is not legitimate, and other countries as named in divorce. Plus, Rabbi Meir's approach in creating mamzerim.
Starting with the last mishnah (on the bottom of 56:) - the offerings of the first-born, the tithes, Passover sacrifice, and more... in terms of what is eaten by whom. Starting with the first-born and the tithing - where the Gemara finds a source for the details and time frame of these offerings. The sages in these discussions are earlier - Tannaim, not Amoraim - and Rabbi Tarfon himself is a kohen. Which makes him more familiar with the details, perhaps. And Rabbi Yossi HaGelili has some questions for him. With a comparison to the piece-offering. Also, why the Passover sacrifice was eaten only at night and only until midnight (or the midpoint of the dark of the night). And it's another dispute between Tannaim - in this case, Rabbi Elazar ben Azariyah and Rabbi Akiva.
The dimensions of the courtyard are key for determining where a person becomes liable for being impure in the courtyard. Plus, the impact on where the slaughtering can be done for kodshei kodshim and kodshei kalim. Also, when the sunset has begun, the blood can no longer before offered on the altar for that same day.
We have 3 mishnayot today - with one at the very bottom of the previous daf. 1. The guilt-offerings (ashamot) together with the peace-offerings, but with a focus on the former - the mishnah delineates the terms of where to slaughter the offering, where to bring the blood, and so on. 2. The mishnah specifies "kodshim kalim," the less holy of the offerings, where the terms were a little more flexible, such as slaughtering the offering anywhere in the Temple courtyard, instead of only in the northern part. Including details about who can be present when the kohanim eat from these offerings in the outer courtyard - or even elsewhere in Jerusalem. 3. Nearly an exact repetition of the previous mishnah, with the focus on the peace-offerings (shelamim). Also, the Gemara explains the location of where the slaughter should happen - noting the opening of the Ohel Mo'ed - the Tent of Meeting - indicate that all areas of the Temple courtyard would be acceptable.
The southeast corner of the altar didn't have a base - but what does that mean? Was there no physical base or does it mean that the base there couldn't be used for the blood? Perhaps it's because of the divide in the property in the portions of Yehudah and Binyamin - where the sacrifice had to be done in Yehudah's portion. Also, the selection of David and Samuel of the place on the hill upon which the Temple would be built - as among the highest places around, "between the shoulders."
2 mishnayot! On sin-offerings - the procedure of how the slaughter, blood, altar, and eating the portions of the offering were all handled. This itemization includes the route the kohen would take on ascending the altar and walking around it (on the top) for the sake of putting the blood on the corners of the altar, with two views on how precisely those placements that needed to happen. Plus, a discussion of the red line that separates between the upper blood and the lower blood on the altar, and the source for it. Also - delineating kodshei kodshim and kodshei kalim, the gradations of holiness of the different sacrifices. Plus, how the division of the land according to tribes is manifest in the Temple - with part of it in Yehudah's portion and part of it in Binyamin's portion.
More on the pouring the remaining blood after sprinkling on the base of the altar.... And the way to conclude the requirements regarding this blood - via logical inference instead of biblical text making the point. The concern being whether this pouring would disqualify the offering, though it seems that everyone agrees that it will not. Which raises the question as to the blood of a bird offering, which might be disqualifying (it's a machloket), moving a step or two away from the original premise of a question. Also, there is, of course, a view that the pouring of the blood is essential (meaning, if it were not done, it would disqualify the offering after all) - as found in a long baraita. But all that material really comes to teach the point of the essential nature of the pouring. Which, of course, is then refuted - or the attempt is made. Plus, a slew of practical questions for which we don't have immediate answers.
Exegetical prowess: "binyan av" - learning the narrow case from a more general case. This category is added to the others: gezerah shavah, kal va-chomer, and hekesh. And the Gemara uses a baraita about disqualified blood as learned from a "binyan av" to probe whether it could then be applied to another binyan av. But that would mean deriving a law regarding that which was improperly done to that which was properly done, and that is difficult. And binyan av is determined to be a less used approach. Also, back to the halakhot about pouring the remaining blood - after the sprinkling - on the western side of the base of the external altar. And what might have been thought to do otherwise. But does the blood really need to be poured out there, when it doesn't bring about atonement or prevent it if it weren't done?
More on rabbinic interpretation of the biblical text and the rules about how that works - by means of gezarah shavah, kal va-chomer, hekesh. What happens when the sages themselves aren't sure that they're inferences and analogies work in the derivation of halakhot? When can logic triumph over textual inference?
Shifting focus to the guilt-offering (the "asham"), and the fact that it too is to be slaughtered in the northern part of the Temple courtyard - along with the blood collection and sprinkling and so on. And, again, the details are derived from the Torah's verses and inferences from one verse to another. Also, the guilt-offering slaughtered by the person who is coming off tzara'at also needs to be in the north of the Temple courtyard. And this derivation is then used to understand certain exegetical rules that apply to elsehwere in the Torah as well. The claim is that the Torah is written in this way to make sure that we learn the halakhah in this way.
The sin-offerings and others needs to be slaughtered in the northern part of the Temple courtyard -- as derived by biblical verses. Plus, the collecting of the blood, the sprinkling of the blood, and the placement of the person collecting the blood. Also, the way "he shall slaughter it" comes to exclude. And the laying on of hands comes into play as a possible exclusion, rather than it being about the northern location for the slaughtering. With a deep dive as to whether the person handling the offering needs to stand in the north too.
Finishing the 4th chapter, with a new mishnah: A sacrifice is slaughtered for the sake of 6 things -- all of which are far less tangible than the animal itself. The kohen's intentions have been preoccupying the Gemara for all these chapters, but now the shift, at the very end, is to the owner's intentions - that is, those of the person offering the sacrifice, even though it's handled professionally, as it were, via the kohanim. Also, starting the 5th chapter, with a new mishnah: The worship of certain sacrifices, from slaughter to collecting of blood to sprinkling of blood, needs to be specifically located in the Temple - in the northern part of the courtyard. To the extent that failing to do so correctly disqualifies the offering. But if the disposal of the blood is not as prescribed, it won't disqualify the offering. Specifically, the bull and the goat of Yom Kippur. Plus, what seems to be the carcasses would be removed to the ash pile outside of the Temple.
How is sacrificial blood excluded from the prohibition against "notar" and impurity? As derived from verses, that is. Likewise, how is blood not subject to me'ilah, after atonement (or even before atonement). Also, how these details are derived from verses that seem indirect or insufficient, when we might have wanted more. Also, why does the Torah mention "karet," the punishment of being cut off, three disctinct times? Each teaches another factor - with a dispute between Rabbi Yochanan and Shimon.
Two mishnayot! When an idolator brings an offering in the Temple... yes, that turns out to be something that could happen. Jewish people can't get benefit from those offerings, but there's no "misuse" of consecretion in those offerings. Likewise, there's no concern of impurity or exchanging the offering. The Gemara, of course, has some level of dispute over the stringencies applied to this kind of case. Also, those practices that were not subject to a violation of pigul may still be relevant for concerns of "notar" - leftovers, in terms of timing - and impurity.
Anything that has permitting factors - specifically, in this case, for the consumption of the consecrated offerings - will, depending, avoid the complicating factor of pigul. If pigul is established with regard to the peace-offering (shelamim), how can it apply to other offerings that aren't quite parallel to the shelamim? The Gemara explains it all very clearly, and pigul indeed is extended even to the oil that the person recovering from tzara'at offers (including non-shelamim meat offerings, bird offerings, and grain offerings). Such a clear delineation of pigul! Also, how it is that kohanim can eat from bird offerings. Plus, the grain offerings and atonement coming from the less likely source of the grain and the birds. With verses to teach it all.
A new mishnah! With a list of cases that would not make a person liable for pigul. The flour of the minchah offering won't become pigul. Likewise, the frankinscense. That is, the offerings themselves may become pigul, but not the ingredients thereof. Those ingredients are what make the offering possible to begin with. Also, on the case of the consecrated food to be eaten by a person who is ritually impure - why is there a need to state both the lenient cases and the stringent cases? Either side of that "equation," as it were, should be inferrable from the other. Note that "Ze'irei" doesn't have a title of "rav" or "rabbi."
Following the dispute about pigul for a meal-offering, the Gemara investigates all the permitting factors for an offering to be accepted, before there are any considerations of pigul. Note that the sprinkling of the blood on the inner altar needs to be done correctly. Also, the count of blood worship tasks: 43 or 47 or 48? If the bloods of two animals mingles, there is room to be lenient, in terms of how many placements there were on the altar.
"With the bull" - looking at the comparison between the goats that would be brought for unwitting communal idolatry and the unwitting sin in other fields. Via the juxtaposition of verses. Also, putting the sacrifices into the context of the Jewish people being beloved by God. With more details on the curtain too.
In light of the placement of blood on the inner altar - either one or two placements - preserving the atonement capacity of the offering, even without blood placed on all four corners, the question of blood on the curtain (parokhet) must be asked. The Gemara establishes that all seven placements must be made on the curtain - but it asks also about four placements, because of a verse with a plural term and R. Shimon's opinion. Also, why does the Torah specify the need for incense on the inner altar (which was the incense altar), as the terms are redundant? Plus, the focus on the verses as source material for the halakhic details.
What happens to the clothing that is sprayed by the blood that is being sprinkled on the altar? With implications regarding laundering the garments worn by the kohanim. Also, regarding the blood that is placed on the inner altar -- which is specifically the sin-offering (goat) of Yom Kippur and the bull offering as well. The placement of this blood is essential to the atonement.