Payment of Half-Damages חצי נזק
On this page, "tam" refers to an animal that is not known to be dangerous, and "muad" refers to an animal that is known to be dangerous.
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The Nature of Half-Damage Payment
Whether half-damages are considered to be a straightforward payment, or a fine: Ketuvot 41a-b; Bava Kama 15a-b; Sanhedrin 3a-b
Payment for a tam animal which injured a human: Bava Kama 5a
Requiring this payment if one admits that his animal killed someone else's animal: Ketuvot 41a-b
Whether one pays kofer for murder by one's animal at all, or perhaps halfway, for damage by a tam animal: Pesachim 22b; Ketuvot 41a-b; Bava Kama 15a
Who is responsible to arrange the sale of the carcass of the victim animal: Ketuvot 41a
Paying up to the damaging animal's worth, or even above that
Paying half-damages for damage by a tam or muad animal: Bava Kama 15a, 16b
For a tam animal that injured a human: Bava Kama 5a
Paying half-damages if a dog eats a sheep, or a cat eats a large chicken: Ketuot 41b