In scientific and teaching activities, Zinoviev openly ignored the official ideology, in the late 1960s his position in the scientific community deteriorated. As Pavel Fokin writes, he declined the proposal of the Vice-President of the Academy of Sciences of the Soviet Union, Peter Fedoseyev, to write a "Marxist-Leninist" article for the journal Kommunist, although he was promised his own department and election as a corresponding member. The scientist was in conflict with representatives of the "liberal" wing of the Soviet intelligentsia, and, as biographers believe, their attitude towards Zinoviev was worse than that of the orthodox communists. In the "liberal" composition of the editorial board of the journal Problems of Philosophy (Merab Mamardashvili, Bonifaty Kedrov, Theodor Oizerman, Yuri Zamoshkin, Vladislav Kelle) took an extremely sharp position on the quality of the reviewed works, indignant at the authors raid over Leonid Brezhnev; Zinoviev noted "()" – "()" – to texts that could not be criticized. After the suspension of his publications, Zinoviev left the editorial board. In the fall of 1968, he was fired from the post of head of the department of logic at Moscow State University. He openly made friends with the well-known dissident Alexander Esenin-Volpin, inviting him to seminars on logic, and with Ernst Neizvestny, who he often visited. He continued his scientific activities, preparing graduate students. In 1973 he was not re-elected to the Academic Council of the Institute, a year later he was not allowed to speak at the All-Union Symposium on the theory of logical inference; they were not allowed to travel abroad, in particular, to Finland and Canada; problems arose with his graduate students. At the same time, Zinoviev was elected a foreign member of the Finnish Academy of Sciences (1974) after a visit to the Soviet Union by the famous Finnish logician Georg von Wright. Zinoviev was proud of this fact, Finnish logic had a high scientific authority.