The ideas of cultural-historical psychology have led to a new understanding of the human psyche as developing in the process of the subject acting in social and historical contexts. Such a "non-classical" reinterpretation of psychological concepts should be based on a theoretical and philosophical framework in order to explain genetic sources of these concepts. For this purpose, Il'enkov's philosophy is of great significance. This is illustrated by discussing a possible cultural-historical understanding of the concept of intelligence.