Jerusalem Talmud Yevamot 4.13

משנה: הַמַּחֲזִיר אֶת גְּרוּשָׁתוֹ וְהַנּוֹשֵׂא אֶת חֲלוּצָתוֹ וְהַנּוֹשֵׂא אֶת קְרוֹבַת חֲלוּצָתוֹ יוֹצִיא וְהַוְולָד מַמְזֵר דִבְרֵי רִבִּי עֲקִיבָא. וַחֲכָמִים אוֹמְרִים אֵין הַוְולָד מַמְזֵר. וּמוֹדִים בְּנוֹשֵׂא אֶת קְרוֹבַת גְּרוּשָׁתוֹ שֶׁהַוְולָד מַמְזֵר.

MISHNAH: He who takes back his divorcee, or marries the woman with whom he performed ḥalîṣah, or marries a relative of the woman with whom he performed ḥalîṣah, has to divorce her and any child is a bastard, the words of Rebbi Aqiba. But the Sages say, it is not a bastard. But they agree that the child of one who marries a relative of his divorcee is a bastard.

הלכה: הַמַּחֲזִיר אֶת גְּרוּשָׁתוֹ כול׳. רִבִּי חִיָיה בְשֵׁם רִבִּי יוֹחָנָן. הַמַּחֲזִיר אֶת גְּרוּשָׁתוֹ מִשֶּׁנִּישֵּׂאת פְּסָלָהּ מִן הַכְּהוּנָּה. בְּלֹא כָךְ אֵינָהּ פְּסוּלָה מִן הַכְּהוּנָּה. אֶלָּא פְּסוּלָה מִלּוֹכַל בִּתְרוּמָה. רִבִי זְעִירָה רִבִּי חִיָיה בְשֵׁם רִבִּי יוֹחָנָן. הַמַּחֲזִיר גְּרוּשָׁתוֹ מִשֶּׁנִּישֵּׂאת בִּתָּהּ כְּשֵׁירָה לִכְהוּנָּה. וּמַאי טַעֲמָא. כִּי תוֹעֵבָה הִיא. הִיא תוֹעֵבָה הִיא וְאֵין הַוְולָד תּוֹעֵבָה.

HALAKHAH: “He who takes back his divorcee,” etc. Rebbi Ḥiyya in the name of Rebbi Joḥanan: He who takes back his divorcee after she had remarried makes her blemished for the priesthood. Without that, is she not blemished for the priesthood? But, she is blemished in that she cannot eat heave. Rebbi Ze‘ira, Rebbi Ḥiyya in the name of Rebbi Joḥanan: The daughet of a man who takes back his divorcee after she had remarried is acceptable for the priesthood. What is the reason? “She is an abomination”. She is an abomination, the child is not an abomination.