Source and decoding - Ketubot 15b
מָצָא בָּהּ תִּינוֹק מוּשְׁלָךְ, אִם רוֹב גּוֹיִם — גּוֹי. אִם רוֹב יִשְׂרָאֵל — יִשְׂרָאֵל. מֶחֱצָה עַל מֶחֱצָה — יִשְׂרָאֵל.
If one found an abandoned child in it: if the majority are gentiles, he is a gentile. If the majority are Jews, he is a Jew. If half and half, he is a Jew.
This Mishnah is cited within the discussion. Its labels do not establish a blanket ruling for every legal domain. Rav limits the statement to sustaining the child, not establishing lineage. Rav Pappa explains that a Jewish majority supports returning lost property. Shmuel teaches that even a gentile majority does not prevent clearing rubble to save the child. To understand the structure, we return to the foundations on ט״ו ע״א (15a): fixed sources versus separation, and the requirement of two majorities for lineage. The young woman's case and the child's case are distinct cases connected by the question of majority.