The Mishna in Avot (5,17) defines the conflict of Korach as not being “for the sake of Heaven”, as opposed to the conflict of Hillel and Shammai.
Rabbi Dunner offers a fascinating array of insights and explanations into this cryptic Talmudic statement, including R. Yaakov Emden, R. Yonason Eybeschutz, the Sefat Emet, and Rav Kook… who refutes the ideals promoted in John Lennon’s most famous song — long before it was written!