Question

According to your approach, the Sages can make mistakes, and they did make mistakes. I’m very troubled by the thought that they may have erred, for example, regarding the Hebrew dates and the order they established in the calendar. First of all, it really is built in a somewhat strange way—with missing and added days and patches, a bit like the sun but really like the moon. If we assume they were indeed mistaken in its structure, could it be that we eat leavened food on Passover? Or go up for the pilgrimage festivals on the wrong dates? Assuming they really were mistaken, is the halakhic ruling regarding the Hebrew date also connected to their authority to determine Jewish law, even though the Torah intended that we observe entirely different days?
The question comes בעקבות an article I read on the subject mentioning that the current calendar is attributed to Hillel the Nasi. It also said there that beforehand it was constructed differently, and I wondered whether this is like an ordinary commandment that is subject to the Sages’ interpretation. Because here the Torah applied holiness to specific days, and this also isn’t a commandment where the Sages are only discussing its fine details; here it’s either yes or no, black or white. Either the day is holy or it isn’t.