One-Page Learn · The Halachos at a glance
פְּסוּלֵי הַמֻּקְדָּשִׁין
Sacrifices Rendered Unfit 8–10
Sefer Avodah · Intermingled dove-pairs - sin-offerings, burnt-offerings, and how many survive the confusion
2
Doves in a pair - one sin, one burnt
1
Named bird lost in a myriad dooms all
½
Always survives any intermingling
4
Doves owed by the mother after birth
Ch 8Named birds, unnamed flocks
  • One in a myriad dooms the flock. A dove explicitly named a sin-offering that intermingles with named burnt-offerings, even one among ten thousand, disqualifies all of them, and every bird is consigned to death, since a named sin-offering can never be offered as a burnt-offering. (8:1)
  • Sin below, burnt above. A sin-offering dove is offered on the lower portion of the altar, a burnt-offering on the upper portion - which is why sending a bird to the wrong half ruins it. (8:9)
  • The half that survives. A named dove that falls into an unspecified flock does not ruin it - since half the flock was always destined to be that type, when the flock is at least twice the intruders, half stays fit and half is disqualified. (8:3-5)
  • Who splits, and how, changes the count. When a mixed flock is divided between the two halves of the altar, if the priest first consulted, only the smaller group is saved; if he acted on his own initiative, the larger group is saved. (8:6-7)
RememberDefinition is vulnerability - the named bird cannot be rescued; the unnamed flock survives.
Ch 9The doves that keep flying
  • One flies, two are lost. A dove that flies from an unspecified flock into a group ready to be offered is itself disqualified and disqualifies one corresponding bird in that group. (9:1-2)
  • The floor holds. No matter how much the doves fly back and forth, even the entire day, they add nothing to the number disqualified - half always stay fit and half unfit. (9:9-10)
  • The circuit of seven. Across flocks of 2, 4, 6, 8, 10, 12, and 14, a bird migrating group to group and back knocks out only two per circuit, so the larger flocks keep the most survivors. (9:13)
  • Sides settle identity. With sin-offerings on one side and burnt-offerings on the other, a dove that flies to a given side is declared that type - but two that return to the center are a sin-and-burnt mix and must die. (9:19)
RememberConfusion has a floor - the churning can never consume the essential half.
Ch 10The mother's four doves
  • Three above, one below. A woman owing a vowed pair (two burnt-offerings) plus the birth offering (one burnt, one sin) brings four doves - three on the upper altar, one on the lower. (10:1)
  • The wrong split costs one more. If the priest mistakenly offers two above and two below without consulting her, she must bring one additional dove for the upper altar to complete her vow. (10:2)
  • Never a mixed pair. A pair may not combine a turtledove and a young pigeon - both must be the same species, which forces extra birds when the two types get confused. (10:6, 10:11)
  • Doubt multiplies, and is not eaten. As her forgetting deepens she may owe up to seven doves and a lamb, and none of these sin-offerings brought under doubt may be eaten - they are burned. (10:28-29)
RememberNo one is a rounding error - the law reorganizes itself for one forgetful mother's one obligation.
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Mishneh Torah, Sacrifices Rendered Unfit (Pesulei HaMukdashin) 8-10, per Sefaria. A study overview, not a halachic ruling - consult a competent rav for practical questions.