Kilayim Perek 3
Sep. 10th, 2024 07:38 pmKilayim 3:1
Ooh, neat, nobody told me we'd be doing geometry! All of the commentaries on this perek are full of fun charts trying to work out the specific logic of why each set of planting spacings work according to different mefarshim.
If you have a vegetable bed that is 6 tefachim by 6 tefachim, the mishna says you can plant five minim in the bed. One on each edge and one in the middle. I am surmising that there is some practical significance to 6 tefachim from the fact that later mishnayos call this a furrow... six isn't just a round number, it's a specific size easily achievable with a common type of plow. I think?
Otherwise I'm not sure what the point of the next bit is. It says if you have a border 1 tefach high and 1 tefach wide around the 6x6 bed, you can plant 13 minim. Three on each edge, with a tefach between each, and one larger section in the middle. R' Yehuda says you can plant six minim in the middle, for a total of 18. As I said, I think this concept of 6x6, plus a border of 1, only makes sense if it's a common shape created by tools. Otherwise, why not just start with an 8x8 area? You can use the 8x8 to demonstrate all the concepts you want to with the 6x6, plus more. So I think it must be that 6x6 is a standard size, the border is a common embellishment and the mishna wants to illustrate both. I've written sometimes that it feels like the Talmud is discussing theoretical halacha that rarely comes up, like in Kerisos, but here in Kilayim this all feels like very practical halacha in an agrarian society, and so the units they're using are what is actually common practice.
Kilayim 3:2
When we talked about cramming all those minim into a 6x6 or 8x8 square, we meant only certain species. The Mishna distinguishes between zeraim and yerakot. Only yerakot are permitted. Chardol is a zera, afunim hashufin is a zera, afunim hagamlanim is a yerek. The distinction seems to be that some vegetation spreads too much and created either a problem of maintaining kilayim, or a problem of mar'is ayin. Hashufin means polished or shiny, but based on the contrast to hagamlanim from shoresh G-M-L, the translators seem to understand it to refer to a smaller pea, but apparently with smaller peas come bigger, more problematic pea plants.
The Mishna concludes that if you have a furrow over one tefach deep, you can plant one min on each side and one min in the middle, and the depth of the furrow creates separation, showing that the one tefach separation required can be vertical or horizontal. This is part of why I think the size of the 6x6 bed must be standardized based on tooling.
Kilayim 3:3
We established in perek 2 that if you have a wheat field that is square and then a barley field is angled relative to the wheat field so that its corner touches one of the sides of the wheat field, it's not kilayim. The same applies to vegetable fields, it's somehow clear by the fact of the bad geometry that you weren't trying to mix two plants.
If you have a field of vegetables and you want to plow a row in the middle to grow another vegetable, Rabbi Yishmael permits it so long as you plow the row from one end of the field to the other, so it becomes three unconnected planted areas. Rabbi Akiva says you don't need to go end to end provided the row is 6 tefachim wide and goes down into the furrow with a sharp interface, so it's visually clear that the furrow's depth creates a separation. Rabbi Yehuda says if it's deep enough you don't need to be 6 tefachim wide, only one tefach.
Kilayim 3:4
If you plant two rows of cucumber, two rows of gourd, and two rows of Egyptian bean, each plant will take up enough space to be visually clear as separate plantings, so this is mutar. If you plant only one row of each, they won't take up enough space, the vines will go everywhere, and so it's assur. Rabbi Eliezer says if you do one row each and then start the pattern again with another row of cucumbers, it will register as a pattern of alternating crops and be mutar. The chachamim say it's assur.
Kilayim 3:5
It's permitted to plant a cucumber and a gourd in the same hole provided you guide the plants so they grow in opposite directions. Huh.
I think this goes to fundamental what is kilayim about questions. Is it about mixing seeds, as a process, or is it about plants getting intertangled? If you had asked me before, I might have been inclined to say the former, which is closer to how animal kilayim works, and kind of seems to me to be the more natural reading of the Torah, but there is a lot in this and the previous perek that makes more sense if it's really about the latter, and several things I attributed to mar'is ayin might actually be about the fundamental mitzvah of kilayim which is about the creating the visual appearance of plants mixing.
And if I had to assign a reason, I might say that maybe it's because these chokim are probably in some way about reminding us of some Torah value and so the visual intermixing that you see and are reminded of is the more critical part compared to the physical act of not intermixing seeds.
Kilayim 3:6
Suppose a farmer has a field of onions, and then decides they want to plant gourds, which as we've established have a tendency to spread and some authorities say you need to leave extra space around compared to other similar plants:
A) Rabbi Yishmael says you need to tear down two rows of onions and plant one row of gourds in the middle of that space, then leave up two rows of onions, then tear down two rows of onions and plant one row of gourds in the middle. Thus between one row of gourds and the next, there is three rows worth of space, and between the gourds and the onions there is one half row of space.
B) Rabbi Akiva says you need to tear down two rows of onions and plant two rows of gourds in their place, then leave up two rows of onions, then tear down two rows of onions and plant two rows of gourds in their place. Thus between one row of gourds and the next, there is two rows of space, and between the gourds and the onions there is no special space.
C) The Chachamim say you need to maintain three rows of space between one row of gourds and the next, but it can be all onions, no need for the extra gap.
Kilayim 3:7
If you want to plant a gourd next to another vegetable, you only need to give it the space of another vegetable, which I think is one tefach. If you want to plant a gourd next to grain, you need to give it a beit rova, which is similar to the beit se'ah in that it's an indirectly defined unit based on how much you would typically seed with a quarter kav of wheat seeds. Rabbi Yose, Rabbi Meir, and Rabbi Yose ben Hahotef Efrati in the name of Rabbi Yishmael have various stringencies requiring you to give gourds more space in different situations.
Ooh, neat, nobody told me we'd be doing geometry! All of the commentaries on this perek are full of fun charts trying to work out the specific logic of why each set of planting spacings work according to different mefarshim.
If you have a vegetable bed that is 6 tefachim by 6 tefachim, the mishna says you can plant five minim in the bed. One on each edge and one in the middle. I am surmising that there is some practical significance to 6 tefachim from the fact that later mishnayos call this a furrow... six isn't just a round number, it's a specific size easily achievable with a common type of plow. I think?
Otherwise I'm not sure what the point of the next bit is. It says if you have a border 1 tefach high and 1 tefach wide around the 6x6 bed, you can plant 13 minim. Three on each edge, with a tefach between each, and one larger section in the middle. R' Yehuda says you can plant six minim in the middle, for a total of 18. As I said, I think this concept of 6x6, plus a border of 1, only makes sense if it's a common shape created by tools. Otherwise, why not just start with an 8x8 area? You can use the 8x8 to demonstrate all the concepts you want to with the 6x6, plus more. So I think it must be that 6x6 is a standard size, the border is a common embellishment and the mishna wants to illustrate both. I've written sometimes that it feels like the Talmud is discussing theoretical halacha that rarely comes up, like in Kerisos, but here in Kilayim this all feels like very practical halacha in an agrarian society, and so the units they're using are what is actually common practice.
Kilayim 3:2
When we talked about cramming all those minim into a 6x6 or 8x8 square, we meant only certain species. The Mishna distinguishes between zeraim and yerakot. Only yerakot are permitted. Chardol is a zera, afunim hashufin is a zera, afunim hagamlanim is a yerek. The distinction seems to be that some vegetation spreads too much and created either a problem of maintaining kilayim, or a problem of mar'is ayin. Hashufin means polished or shiny, but based on the contrast to hagamlanim from shoresh G-M-L, the translators seem to understand it to refer to a smaller pea, but apparently with smaller peas come bigger, more problematic pea plants.
The Mishna concludes that if you have a furrow over one tefach deep, you can plant one min on each side and one min in the middle, and the depth of the furrow creates separation, showing that the one tefach separation required can be vertical or horizontal. This is part of why I think the size of the 6x6 bed must be standardized based on tooling.
Kilayim 3:3
We established in perek 2 that if you have a wheat field that is square and then a barley field is angled relative to the wheat field so that its corner touches one of the sides of the wheat field, it's not kilayim. The same applies to vegetable fields, it's somehow clear by the fact of the bad geometry that you weren't trying to mix two plants.
If you have a field of vegetables and you want to plow a row in the middle to grow another vegetable, Rabbi Yishmael permits it so long as you plow the row from one end of the field to the other, so it becomes three unconnected planted areas. Rabbi Akiva says you don't need to go end to end provided the row is 6 tefachim wide and goes down into the furrow with a sharp interface, so it's visually clear that the furrow's depth creates a separation. Rabbi Yehuda says if it's deep enough you don't need to be 6 tefachim wide, only one tefach.
Kilayim 3:4
If you plant two rows of cucumber, two rows of gourd, and two rows of Egyptian bean, each plant will take up enough space to be visually clear as separate plantings, so this is mutar. If you plant only one row of each, they won't take up enough space, the vines will go everywhere, and so it's assur. Rabbi Eliezer says if you do one row each and then start the pattern again with another row of cucumbers, it will register as a pattern of alternating crops and be mutar. The chachamim say it's assur.
Kilayim 3:5
It's permitted to plant a cucumber and a gourd in the same hole provided you guide the plants so they grow in opposite directions. Huh.
I think this goes to fundamental what is kilayim about questions. Is it about mixing seeds, as a process, or is it about plants getting intertangled? If you had asked me before, I might have been inclined to say the former, which is closer to how animal kilayim works, and kind of seems to me to be the more natural reading of the Torah, but there is a lot in this and the previous perek that makes more sense if it's really about the latter, and several things I attributed to mar'is ayin might actually be about the fundamental mitzvah of kilayim which is about the creating the visual appearance of plants mixing.
And if I had to assign a reason, I might say that maybe it's because these chokim are probably in some way about reminding us of some Torah value and so the visual intermixing that you see and are reminded of is the more critical part compared to the physical act of not intermixing seeds.
Kilayim 3:6
Suppose a farmer has a field of onions, and then decides they want to plant gourds, which as we've established have a tendency to spread and some authorities say you need to leave extra space around compared to other similar plants:
A) Rabbi Yishmael says you need to tear down two rows of onions and plant one row of gourds in the middle of that space, then leave up two rows of onions, then tear down two rows of onions and plant one row of gourds in the middle. Thus between one row of gourds and the next, there is three rows worth of space, and between the gourds and the onions there is one half row of space.
B) Rabbi Akiva says you need to tear down two rows of onions and plant two rows of gourds in their place, then leave up two rows of onions, then tear down two rows of onions and plant two rows of gourds in their place. Thus between one row of gourds and the next, there is two rows of space, and between the gourds and the onions there is no special space.
C) The Chachamim say you need to maintain three rows of space between one row of gourds and the next, but it can be all onions, no need for the extra gap.
Kilayim 3:7
If you want to plant a gourd next to another vegetable, you only need to give it the space of another vegetable, which I think is one tefach. If you want to plant a gourd next to grain, you need to give it a beit rova, which is similar to the beit se'ah in that it's an indirectly defined unit based on how much you would typically seed with a quarter kav of wheat seeds. Rabbi Yose, Rabbi Meir, and Rabbi Yose ben Hahotef Efrati in the name of Rabbi Yishmael have various stringencies requiring you to give gourds more space in different situations.