Mixtures

Mixtures (taaruvot) of permissible and forbidden substances are a subject of much discussion and debate in Jewish law. Different criteria are used to decide whether there is a sufficient amount of a forbidden material to render a whole mixture forbidden.

Sources

MISHNA: In the case of a drop of milk that fell on a piece of meat, if the drop contains enough milk to impart flavor to that piece of meat, i.e., the meat is less than sixty times the size of the drop, the meat is forbidden. If one stirred the contents of the pot and the piece was submerged in the gravy before it absorbed the milk, if the drop contains enough milk to impart flavor to the contents of that entire pot, the contents of the entire pot are forbidden.…

Chullin 108a:2-6

§ Rav Kahana says: From the statements of all the amora’im who were cited, namely, Shmuel, Rabbi Yoḥanan, and Reish Lakish, we learn that if a forbidden food imparts flavor to a permitted food to the detriment of the mixture, it is permitted. Abaye said to him: Granted, from all the rest of them this conclusion is very well; but how can this be concluded from the statement of Reish Lakish? He says only that the Sages said that if a forbidden food imparts flavor to a permitted food to its detriment…

Avodah Zarah 67b:3-68a:1

§ Rava said: Now that the Sages say in the mishna that we do not sacrifice any of the animals, if we did sacrifice one of them, the offering does not effect acceptance for the owner. Rav Huna bar Yehuda raised an objection to Rava from a mishna (Kinnim 22b): With regard to a bird sin offering that was intermingled with a bird burnt offering, or a bird burnt offering that was intermingled with a bird sin offering, even if the ratio is one in ten thousand, they all must die, as there is no remedy for these birds…

Rebbi Assi in the name of Rebbi Joshua ben Levi in the name of Bar Pedaiah: [All sources of taste one in a hundred. Rebbi Ḥiyya in the name of Rebbi Joshua ben Levi in the name of Bar Pedaiah:] All sources of taste one in sixty. Rebbi Samuel ben Rav Isaac said to Rebbi Ḥiyya bar Abba: Rebbi Assi disagrees with you and the Mishnah disagrees with both of you: “Anything which sours, spices, or creates dema‘? If you say about 100 or 200, even if it does not sour, spice, or create dema‘! Therefore, we hold even more. Rebbi Jeremiah said, explain it for meat in meat…

Jerusalem Talmud Orlah 1:3:14-15

MISHNA: All the offerings that were intermingled with animals from which deriving benefit is forbidden, e.g., sin offerings left to die, or with an ox that was sentenced to be stoned, even if the ratio is one in ten thousand, deriving benefit from them all is prohibited and they all must die. If the offerings were intermingled with animals whose sacrifice is forbidden but deriving benefit from them is not, the halakha is different…

Zevachim 70b:15

And they were also stringent in this matter according to some of the commentators to [deduce] a novel prohibition in this, more than in other prohibitions of food (Chullin 108a). [It is] in that with the matter of meat with milk, if milk is mixed with meat, and there is not sixty parts in the piece of meat corresponding to the milk, we see both of them as one piece of prohibited food. And if this piece fell into a stew of meat or a stew of milk, we measure against all of [the piece]. And this is what, they, may their memory be blessed, said (Chullin 108a) “The piece itself becomes a carcass…

Sefer HaChinukh 113:6

Rava explains: Granted, in the case of a pot used for teruma, a priest, who is permitted to partake of teruma, can taste the non-sacred food subsequently cooked in the pot in order to determine whether the teruma imparted flavor to the non-sacred food. But in a case where it is not known whether meat imparted flavor into milk, who can taste it? If the meat did impart flavor to the milk, it would be forbidden for any Jew to consume the milk…

Chullin 97a:5-97b:10

We already explained that if a forbidden substance imparts its flavor to a permitted substance, the entire mixture is not permitted. When does the above apply? [When the flavor imparted] improves [the flavor of the permitted food]. If, however, the forbidden substance detracts from the flavor of the permitted substance and impairs it, it is permitted.
[This applies] provided it detracts from its flavor from the beginning until the end. If, however, it detracted from its flavor at the outset, but ultimately improved it or improved it initially, even though it will ultimately detract from it…

Mishneh Torah, Forbidden Foods 15:28

If [sacrificial animals] became intermingled with [animals that are] forbidden to be offered on the altar, they should all be allowed to pasture until they contract disqualifying physical blemishes. They should then be sold and the proceeds from the sale of the choicest animal among them should be used to bring sacrifices from the type in which [the forbidden animal] became intermingled. If sacrificial animals become intermingled with unblemished ordinary animals, the ordinary animals in the mixture should be sold as sacrifices of that type, and they should all be sacrificed…

Mishneh Torah, Sacrifices Rendered Unfit 6:2-3

When a sin-offering of a dove becomes intermingled with a burnt-offerings of doves or a burnt-offering of a dove becomes intermingled with sin-offerings of doves, even one in a myriad, they should all be consigned to death.
When does the above apply? When their identity had been explicitly determined when they were purchased by the owner, [saying]: "This is a sin-offering. This is a burnt-offering." Different rules apply, however, if one brought doves to fulfill his obligation, some [for] a sin-offering and some for a burnt-offering, without stating explicitly [what each was, instead…

Mishneh Torah, Sacrifices Rendered Unfit 8:1

MISHNA: Wine used for a libation is forbidden, and any amount of it renders other wine forbidden if they are mixed together. Wine used for a libation that became mixed with wine, or water that was used for an idolatrous libation that became mixed with ordinary water, renders the mixture forbidden with any amount of the forbidden wine or water; but wine used for a libation that became mixed with water…

Avodah Zarah 73a:2-3

MISHNA: In the case of a thigh that was cooked with the sciatic nerve in it, if there is enough of the sciatic nerve in it to impart its flavor to the thigh, the entire thigh is forbidden for consumption. How does one measure whether there is enough sciatic nerve to impart flavor to the meat of the entire thigh? One relates to it as though the sciatic nerve were meat imparting flavor to a turnip. If meat the volume of the sciatic nerve would impart flavor to a turnip the volume of the thigh when they were…

Chullin 96b:6-8

This dispute between Abaye and Rava applies to another case as well. With regard to the case of wine vinegar and malt vinegar that became mixed together, and one is permitted and the other is forbidden, and also the case of leaven of wheat flour and leaven of barley flour that became mixed together, and one is permitted and the other is forbidden, Abaye says: The forbidden substance renders the mixture forbidden in a case where it imparts flavor to the mixture, because we follow the flavor…

Avodah Zarah 66a:7

Rav said: With regard to leavened bread that becomes mixed with permitted food, the following distinction applies. During its time of prohibition, i.e., during the seven days of Passover, leavened bread is forbidden whether it is mixed with its own type, for example, when leavened flour is mixed with matza flour or when unleavened matza is mixed with leavened matza, or it is mixed with another type of substance. Not during its time of prohibition, but rather after Passover…

Pesachim 29b:6-30a:1

MISHNAH: Anything which sours, or spices, or creates dema‘ from heave, or is ‘orlah, or vineyard kilaim, is forbidden. The House of Shammai say, also it transmits impurity, but the House of Hillel say nothing transmits impurity unless it has at least the volume of a chicken egg.
Dositheos from Kefar Etma was a student of Shammai. He said, I asked Shammai the Elder and he said, nothing transmits impurity unless it has the volume of a chicken egg.
And why did they say, anything which sours, or spices, or creates dema‘…

Jerusalem Talmud Orlah 2:3:1

MISHNAH: Heave, heave of the tithe of demay, ḥallah, and First Fruits are lifted by one and 100, they combine with one another, and one has to remove. ‘Orlah and vineyard kilaim are lifted by one and 200, they combine with one another, and one need not remove. Rebbi Simeon says, they do not combine. Rebbi Eliezer says they combine in matters of perceiving the taste but not to forbid.

Jerusalem Talmud Orlah 2:1:1

When a se'ah of terumah falls into 100 se'ah and one se'ah was removed from the mixture, if that se'ah fell into other produce, the question whether the mixture is considered as miduma is determined according to the proportion [of terumah in the first mixture].Similarly, if a se'ah of terumah fell into less than one hundred se'ah [of ordinary produce] and the entire mixture became miduma and then some of this mixture fell into other [produce]…

Mishneh Torah, Heave Offerings 13:3

MISHNAH: If somebody makes dough from wheat and rice, if it has the taste of flour it is subject to ḥallah and a person may satisfy his Passover obligation with it. If it does not have the taste of flour it is not subject to ḥallah and a person may not satisfy his Passover obligation with it.
If somebody takes sourdough from a dough from which no ḥallah was taken and adds it to dough from which ḥallah was taken, if he can provide for it from another place he should take in proportion; otherwise he should take ḥallah for everything…

Jerusalem Talmud Challah 3:5:1

MISHNAH: An onion which one added to lentils, if whole it is permitted, if cut up it depends on transferring taste. Any other cooked food, whether whole or cut up, depends on transferring taste. Rebbi Jehudah permits in anchovies where it only serves to remove pollutants.
If a mashed apple is added to dough and it soured, [the dough] is forbidden. But if barley grains fell into a cistern of water, even though they made it stink, [the water] is permitted.

Jerusalem Talmud Terumot 10:1:1

MISHNAH: A seah of heave which fell into 100, if he milled it and it lost volume, in proportion to what the profane lost, the heave lost, and it is permitted. A seah of heave which fell into less than 100, if he milled it and it increased in volume, in proportion to the increase of the profane is the increase of heave, and it is forbidden. If it is known that the profane wheat was of better quality than the heave, it might be permitted. If a seah of heave fell into less than 100 and more profane fell into it later, if it was in error, it is permitted…

Jerusalem Talmud Terumot 5:3:1-2

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