Chanukah
Our Sages taught:
מצות חנוכה נר איש וביתו
The mitzvah of Chanukkah is a [single] candle for [each] man and his household,
נר איש וביתו - נר אחד בכל לילה ואיש וכל בני ביתו סגי להו בנר אחד:
A Candle for a Man and his House- One candle on each night; and for a man and his entire household it is sufficient to have one candle.
והמהדרין נר לכל אחד ואחד
and those who are scrupulous: A candle for each and every one, and the scrupulous among
והמהדרין - אחר המצות עושין נר אחד בכל לילה לכל אחד ואחד מבני הבית
והמהדרין מן המהדרין ב"ש אומרים
and the scrupulous among the scrupulous: Beit Shammai say:
והמהדרין מן המהדרין. נראה לר"י דב"ש וב"ה לא קיימי אלא אנר איש וביתו שכן יש יותר הידור דאיכא היכרא כשמוסיף והולך או מחסר שהוא כנגד ימים הנכנסים או היוצאים אבל אם עושה נר לכל אחד אפי' יוסיף מכאן ואילך ליכא היכרא שיסברו שכך יש בני אדם בבית:
And Mehadrin of the Mehadrin (beautiful of the beautiful)... It seems to R"I that Beis-Shamai and Beis- Hilel refer only to "Man and his household" (i.e. to fulfilling the Mitzvah of Chanukah candles by the head of the household alone on behave of his entire family), because in this way there is more beautification of the Mitzvah because there is something recognizable when he keeps adding or leaving out (candles) which corresponds to days that are entering (the days of Chanukah still to come, i.e. position of Beis-Shamay) or exiting (the days of Chanukah that have already passed, i.e. position of Beis-Hilel). However, if he makes a candle for each one (i.e. each member of his household gets his own candle), even if he adds (candles) from this moment and onwards, there is nothing recognizable, because (the people) would think that so is the number of people in the household. (i.e. in this case, instead of attributing the increase or decrease in candles to the intention of the owner to match the corresponding day of Chanukah, people would attribute it to the intention to match the number of people in the household.)
יום ראשון מדליק שמנה מכאן ואילך פוחת והולך וב"ה אומרים יום ראשון מדליק אחת מכאן ואילך מוסיף והולך
The first day he lights eight, from here going [forward], he goes on reducing, and Beit Hillel says: The first day he lights one, from here going [forward], he goes on adding.