The author elucidates the ontological basis of elementary mathematical theories and thereby assesses their certainty as a foundation for the more complex theories of modern mathematics, such as mathematical analysis and set theory. He adduces arguments in favor of the position of Frege, who held that geometry can provide a sufficiently broad and certain foundation for mathematics.

t. 1. Problemy vospitanii︠a︡ vsestoronne razvitoĭ lichnosti. Dukhovnyĭ mir shkolʹnika. Metodika vospitanii︠a︡ kollektiva.--t. 2. Formirovanie Kommunisticheskikh ubezhdeniĭ molodogo pokolenii︠a︡. Kak vospitat nastoi︠a︡shchego cheloveka. Sto sovetov uchiteli︠u︡.--t. 3. Serdt︠s︡e otdai︠u︡ deti︠a︡m. Rozhdenie grazhdanina. Pisʹma k synu.--t. 4. Pavlyshskai︠a︡ sredni︠a︡i︠a︡ shkola. Razgovor s molodym direktorom shkoly.--t. 5. Statʹi.

t. 1. Problemy vykhovanni︠a︡ vsebichno rozvynenoï osobystosti. Dukhovnyĭ svit shkoli︠a︡ra. Metodika vykhovanni︠a︡ kolektyvu -- t. 2. Formuvanni︠a︡ komunistychnykh perekonanʹ molodoho pokolinni︠a︡. I︠A︡k vykhovaty spravz︠h︡ni︠u︡ li︠u︡dynu. Sto porad uchytelevi -- t. 3. Sert︠s︡e viddai︠u︡ diti︠a︡m. Narodz︠h︡enni︠a︡ hromadi︠a︡nyna. Lysty do syna -- t. 4. Pavlysʹka seredni︠a︡ shkola. Rozmova z molodym dyrektorom -- t. 5. Statti.