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עד שיאמר לא נגעתי – not exactly that he would say it is evident to me that I did not touch it, and the same law applies where there is a matter to compare to him that he didn’t touch it.

שבילי בית גלגול (pathways of a field full of hills and depressions) – a round place that ascends and descends, and most of the people are not able to walk on these pathways.

רשות היחיד לשבת – it is not actually the private domain, but they are a Karmelit (an intermediate domain – between a private domain and a public domain – any open area larger than four square handbreadths that is not a public thoroughfare – including fields, seas, rivers, alleyways and lanes). But why call it a private domain? Because it is not the public domain, as will be taught in the Mishnah shortly, the valley during the dry season is the private domain regarding Shabbat, but it is not actually a private domain, but rather a Karmelit. But now all of these paths are taught in the Mishnah here are the public domain, we are speaking, for example, that they lack three [people] at the time that the doubt emerged, and even here, since many are found there, it is like the public domain. For if there are three [people] at the time that the doubt emerged regarding, even in the innermost of rooms, he is ritually pure, as we derive from the Sotah/the wife suspected of unfaithfulness towards her husband, it is a private domain, because there aren’t there other than two [people], the male initiating intercourse (i.e., the adulterer) and the woman having sexual intercourse.

רשות הרבים לטומאה – for during the dry season many people are found and they go in it to reap and to thresh and to plow the ground, to seed it for the coming year.

בימות הגשמים – that it is sown, a person doesn’t enter into it.