Whether Half-Damage is considered to be a straightforward Payment, or a Fine: Bava Kama 15a-b; Sanhedrin 3a-b
Payment for a non-Dangerous animal which injured a Human: Bava Kama 5a
Paying from the Damaging Animal's Worth, or Even Above That
For a non-Dangerous/Dangerous animal: Bava Kama 15a, 16b
For a non-Dangerous animal which injured a Human: Bava Kama 5a
