Rosh Hashanah 20b
ראש השנה כ׳ ב — ד"ה אָמַר שְׁמוּאֵל
Rosh Hashanah 20b:2
Discusses calendrical determination and the authority of fixed calculations and testimonies in defining dates. It provides a broader talmudic backdrop for later halakhic arguments about how a day is established.
אָמַר שְׁמוּאֵל: יָכֵילְנָא לְתַקּוֹנֵי לְכוּלַּהּ גּוֹלָה. אֲמַר לֵיהּ אַבָּא אֲבוּהּ דְּרַבִּי שִׂמְלַאי לִשְׁמוּאֵל: יָדַע מָר הַאי מִילְּתָא דְּתַנְיָא בְּסוֹד הָעִיבּוּר: נוֹלַד קוֹדֶם חֲצוֹת אוֹ נוֹלַד אַחַר חֲצוֹת? אֲמַר לֵיהּ: לָא. אֲמַר לֵיהּ: מִדְּהָא לָא יָדַע מָר — אִיכָּא מִילֵּי אַחְרָנְיָיתָא דְּלָא יָדַע מָר. וְזוֹ שֶׁאָמַר אַבָּא אֲבוּהּ דְּרַבִּי שִׂמְלַאי: מְחַשְּׁבִין אֶת תּוֹלַדְתּוֹ. נוֹלַד קוֹדֶם חֲצוֹת — בְּיָדוּעַ שֶׁנִּרְאָה סָמוּךְ לִשְׁקִיעַת הַחַמָּה. לֹא נוֹלַד קוֹדֶם חֲצוֹת — בְּיָדוּעַ שֶׁלֹּא נִרְאָה סָמוּךְ לִשְׁקִיעַת הַחַמָּה. לְמַאי נָפְקָא מִינַּהּ? אָמַר רַב אָשֵׁי: לְאַכְחוֹשֵׁי סָהֲדֵי.
§ Shmuel said: I am able to fix the calendar for the entire Diaspora without witnesses. Shmuel was an expert on the movement of the celestial bodies and on the principles governing leap years and additional days added to months. Abba, the father of Rabbi Simlai, said to Shmuel: Does the Master know the meaning of this statement, as it is taught in a baraita dealing with the secret of addition, which discusses calendric calculations: Differentiate between when the molad occurred before midday and when the molad occurred after midday? He said to him: No, I do not know what this means. He said to him: Since the Master does not know this, there are probably other matters that the Master does not know, and therefore you must not establish a calendar, relying upon calculations that were made based on faulty or insufficient knowledge. And this is what Abba, the father of Rabbi Simlai, said: The baraita means as follows: They calculate the molad; if the molad occurred before midday, so that there are at least six more hours left of the day, it is known that the moon will be visible close to sunset. If, however, the molad did not occur before midday, so that there are fewer than six hours left of the day, it is known that the moon will not be visible close to sunset. The Gemara asks: What is the practical difference that this statement makes? In any case, the court is dependent upon the testimony of witnesses. Rav Ashi said: This information is used to refute the witnesses, as if the witnesses claim that they saw the new moon at a time when it was not visible according to the calculations, they are clearly false witnesses.