Talking Talmud

If a ewe gives birth to animal that looks like a goat, or vice versa, but also looks a little like its mother... Rabbi Meir says it is subject to the laws of first-born, but the majority view of the sages say no, the owner is exempt. Plus, when lambs are exempt from the first fleece. Also, a new mishnah! When a female sheep gives birth to twin male lambs - and their heads emerge at exactly the same time. Who gets which of the lambs? Does the first-born status kick in, and for which animal? Plus, can such things happen truly simultaneously?

The 5 sin-offerings that are left to die that are left to die (if they cannot be offered on the altar). How we know this, and how it works -- including the verse that teaches these details. Also, a new mishnah! In the case of a profit-sharing agreement, the value of the partnership is still owed to him. The partnership can be bought out, depending on the terms and who the partners are (depend on whether one is not Jewish, for example). Plus, the 10 generations for which the "first-born" is relevant.

More on the consecration vs. blemish and their implications for practice, in terms of order: where is all this derived? From the different animals mentioned in the Torah, and how each of them teaches something new. Also, what about the exchange for blemished offerings? What about the offspring of blemished offerings? When can you redeem which? Are the offspring -- which can't be redeemed -- really subject to redemption? To sacrifice? Again, the timing (in this case, the time of conception in the context of the mother's consecration) matters.

A new mishnah! Consecrated animals that acquire a blemish -- so they cannot be used for a regular sacrifice, what happens when they're then used for other things -- which doesn't rid the animal of the first-born status (or the obligation to give the kohen gifts). Note that the order that things happen (when consecrated, when blemished) make a difference in terms of the halakhah for the given animal. Also: Significantly, the Gemara rereads the details of the mishnah completely differently -- limiting the cases there for private altars, which changes the circumstances, the consequences, and more.

Summary/description to follow after shabbat/chag, with apologies.