Commentary for Berakhot 53:3
אי אמרת בשלמא עד ועד בכלל היינו דמשכחת להו שתי תפלות בהדי הדדי אלא אי אמרת עד ולא עד בכלל היכי משכחת להו שתי תפלות בהדי הדדי כיון דאתיא לה של מנחה אזלא לה של מוספין
That is quite right if thou maintainest that "until" means including, and thus the two Tefillot are found together; but if thou maintainest that "until" means excluding, how is it these two Tefillot are found together? For when the time of the afternoon Tefillah has arrived, the time of the additional Tefillah has passed!
Abraham Cohen Footnotes to the English Translation of Masechet Berakhot
Assuming that "until" means excluding, then according to R. Judah the additional Tefillah may be said until noon. But that of the afternoon only commences at 12.30 p.m. ; how, then, could the two Tefillot clash?
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