Daf 6
Most of the daf is the bringing and analysis of a fundamental baraisa that lays out, more clearly than the Mishna, some of the basic principles of this subject, particularly what the different types of Domain there are with regards to carrying on Shabbos, and what their laws are. The baraisa teaches that there are four types of Domain, and gives examples.
1. Private domain. This is an area at least 4 tefachim by 4 tefachim, with a height of at least ten tefachim, which is fully enclosed. (The OU says a tefach is about 3 inches:
https://www.ou.org/judaism-101/glossary/tefach/) So... a foot by a foot by about three feet high? Tiny.
2. A public domain. The examples given are a highway or a busy road or an open plaza. It seems to be an area which is not only open to the public but regularly traveled. Later in the page another baraisa is given which teaches that a desert is also a public domain, but it immediately clarifies that what that means is that when the Israelites were wandering in the Sinai, where the desert was the big open area that they all frequently traveled in, it was a public domain, but if someone just wandered off to the Negev it wouldn't have that status.
3. A karmelit, which is an area that is neither a public domain nor a private domain. The examples given are the sea, an open field, certain partially enclosed areas. Because they don't Biblically meet either category, one is patur for transporting from one to either a Public Domain or a Private Domain, meaning one is Biblically exempt, but Rabbinically liable in both directions, they sort of Rabbinically take on all the stricter laws of both public domain and private domain, but because it's Rabbinical there's all sorts of wiggle room in exigent circumstances. I'm not sure how this applies to the sea, I know if you're on a long sea voyage on Shabbos it's somehow okay. Hopefully more on this later.
4. Exempt areas. Basically, if an area is less than 4 tefachim across, or less then 10 tefachim high, and in some other circumstances where there's ambiguity but also the area is so tiny it barely has any status on its own, then it takes on all the leniencies instead of all the stringencies. The example given is a the threshold to a home, if it is ambiguous whether you are inside or outside. Because it's so small and ambiguous, if someone passes an object to you from outside, neither of you is chayav.
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