The first publications took place in 1957, a year later one of the articles was published in Czech. For fifteen years (1960–1975) Zinoviev published a number of monographs and many articles on non-classical logic. Academic career developed rapidly: in 1960, Zinoviev became a senior researcher, in November 1962, by unanimous decision of the Academic Council of the Institute of Philosophy of the Academy of Sciences of the Soviet Union, received a doctorate for his study "The logic of statements and the theory of inference". Opponents of the defense were Valentin Asmus, Sofya Yanovskaya and Igor Narsky. In 1958–1960, he read the special course "The Philosophical Problems of Natural Science" at the Moscow Institute of Physics and Technology, since 1961 – the special course at Moscow State University (faculty of philosophy). In 1966 he received the title of professor, in 1967–1968, part-time headed the department of logic, Faculty of Philosophy, Moscow State University. In 1968, he joined the editorial board of the journal Problems of Philosophy, a year later – on the Academic Council on the problems of dialectical materialism of the Institute of Philosophy of the Academy of Sciences of the Soviet Union. By the mid-1970s, his works were published in English, German, Italian, and Polish. Zinoviev was engaged in logic not just as a scientific discipline, but reconsidered its foundations as part of the creation of a new field of intellectual activity. According to Konstantin Krylov, he experienced a temporary stage of creating a "general theory of everything", which, however, he quickly passed. It is noted that in logical studies Zinoviev was clearly vain, which led to imprudent steps and embarrassment: for example, he insistently published proof of Fermat's unprovability in the framework of the logical system he built.