mentsch1 – The Mishnayos in Shkalim discuss how the Kupos in the Bais HaMikdash had Greek writing so that people should understand what they are for.
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The “Zugos” at the time of the Chashmonaim had Greek names.
Unless you can print a specific source here, that means that Jewish “culture” at that time was influenced by the surrounding society.
Megillas Antiochus explicitly states that the reason for the rebellion was that the Syrian-Greeks did not allow the Jews to keep Shabbos, Rosh Chodesh and Bris Milah.
Besides, it is Mefurash a Rebbe Hill!!