El'azar [(the Elder)] is the father of Rabbi Yehuda, and he is a Tanna, a student of Rabbi Eliezer in the chapter of Pesin [Mishnah 6 (23a). In the Mishnah, Rabbi El'azar said, "I heard from Rabbi Eliezer" (it should be Eliezer, and so it is written in the passage 26a), and I reviewed all his students to see if they heard from him, and I did not find a companion for myself. And the Tosafot wrote (26b) that it is taught in Pesachim (39a) that until I came to Rabbi El'azar ben Yaakov, he acknowledged my words.
Although Rabbi Yehuda ben Ilai was a student of Rabbi Akiva, Rabbi El'azar lived many days]. In the second chapter of Sukkah [(27b), he went to greet his teacher Rabbi El'azar on the festival in Lod. And Rabbi El'azar said to him, "El'azar, you are not one who rejoices in the festival," for Rabbi El'azar praised the lazy ones who do not go out from their homes on the festival. Do not let your heart be misled, for he went to greet Rabbi El'azar ben Shamua, and Rabbi El'azar ben Shamua said, "Of Rabbi El'azar, I praise the lazy ones," this is Rabbi El'azar the Great, son of Horcanus.
This means that Rabbi El'azar the Great was the teacher of Rabbi El'azar.
However, the Gemara is vague, and the arranger brought that it was Rabbi El'azar, meaning that Rabbi El'azar the Great was accustomed to say, "I praise the lazy ones." And likewise, in every place he said, he would say, meaning he was accustomed to say so, and so it is in the first chapter of Avot, he would say, etc., that he was accustomed to say this, meaning what Rabbi El'azar said, "You are not one who rejoices in the festival," as if he said to him, "But I am accustomed to say, 'I praise the lazy ones,' etc."] And in the chapter of the Mincha Offering [(18a), Rabbi Yehuda, the son of Rabbi El'azar, and Rabbi El'azar is a student of Rabbi Eliezer. And he is called Elder in Chagigah (16a), Makkot (17), and Kiddushin (40a)].
Rabbi El'azar the Elder said, "If you see that the evil inclination is strengthening against you, go to a place where they do not recognize you." And he would go after Rabbi Gamliel [(of Yavneh) and he found Rabbi Gamliel in a certain place and said to him, "El'azar, take..." (see there)]. He presented before Rabbi El'azar and Rabbi Yehoshua [Pesachim (38b). He asked Rabbi Yehoshua and Rabbi El'azar and presented the matter before Rabbi El'azar ben Azariah, Tosefta Chalah, chapter 1].
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