Philosophical and Mathematical Synthesis in P.A. Florensky and in the Philosophy of Neo-Unity
Publication Title:
Philosophical and Mathematical Synthesis in P.A. Florensky and in the Philosophy of Neo-Unity
Abstract:
This article explores the possibility of a philosophical and mathematical synthesis within the framework of the Russian philosophical tradition of All-Unity (vseedinstvo) and the project of Neo-Unity developed by Vyacheslav Ivanovich Moiseev. The author compares the key intuitions and achievements of both directions, demonstrating pathways for the integration of philosophy and mathematics. The study highlights the distinctive features of the philosophy of All-Unity, which emphasizes the metaphysical primacy of the level of unity, and contrasts it with the contemporary stage, which develops mathematized methods of philosophizing. Special attention is paid to the works of Pavel Florensky (Imaginaries in Geometry, Number as Form) and his contribution to the formation of ideas about the dual structure of reality. An original approach is proposed for examining the problem of antinomianism and interpreting polarities through the use of mathematical models. The study emphasizes the relevance and potential of further developing a philosophical-mathematical synthesis for the formation of an integral scientific worldview.
References:
(Sources)
Collected Works
1. Florenskiy, P.A. Avtoreferat [Abstract], in Florenskiy, P.A. Sobranie sochineniy v 4 t., t. 1 [Collected Works in 4 vols., vol. 1]. Moscow: Mysl', 1994, pp. 37–43.
2. Florenskiy, P.A. Symbolarium [Symbolarium], in Florenskiy, P.A. Sobranie sochineniy v 4 t., t. 1 [Collected Works in 4 vols., vol. 1]. Moscow: Mysl', 1994, pp. 564–591.
3. Florenskiy, P. U vodorazdelov mysli [At the Watersheds of Thought], in Florenskiy, P.A. Sobranie sochineniy v 4 t., t. 3(1) [Collected Works in 4 vols., vol. 3(1)]. Moscow: Mysl', 1999. 621 p.
4. Florenskiy, P.A. Ikonostas [Iconostasis], in Florenskiy, P.A. Sobranie sochineniy v 4 t., t. 1 [Collected Works in 4 vols., vol. 1]. Moscow: Mysl', 1996, pp. 419–527.
5. Obretaya put'. Pavel Florenskiy v universitetskie gody: v 2 t., t. 1 [Finding the Path. Pavel Florensky in his University years. The Correspondence: in 2 vol., vol. 1]. Moscow: Progress-Traditsiya, 2011. 584 p.
Individual Works
6. Florenskiy, P. Iz moey zhizni [From my life]. Moscow: Akademicheskiy proekt; Gaudeamus, 2018. 729 p.
7. Florenskiy, P.A. Mnimosti v geometrii [On the Imaginaries in Geometry]. Moscow: Editorial URSS, 2004. 72 p.
8. Florenskiy, P. Chislo kak forma [Number as Form]. Moscow: MTSNMO, 2021. 80 p.
9. Florenskiy, P.A. Stolp i utverzhdenie istiny: Opyt pravoslavnoy teoditsei [Pillar and affirmation of truth: Experience of Orthodox theodicy]. Moscow: AST, 2007. 633 p.
10. Florenskiy, P. U vodorazdelov mysli: Cherty konkretnoy metafiziki [At the Watersheds of Thought: Traits of Concrete Metaphysics]. Moscow: AST, 2009. 346 p.
(Articles from Scientific Journals)
11. Moiseev, V.I. Russkaya filosofiya vseedinstva kak proobraz integral'noy nauki [Russian Philosophy of Unity as a prototype of integral Science], in Solov'evskie issledovaniya, 2024, issue 3(83), pp. 38–48.
(Articles from Proceedings and Collections of Research Papers)
12. Moiseev, V.I. Ot logiki vseedinstva k filosofii neovseedinstva [From Logic of All-Unity to the Philosophy of Neo-All-Unity], in Materialy mezhdunarodnoy nauchnoy konferentsii «Filosofiya V.S. Solov'eva v mezhkul'turnoy kommunikatsii: K 110-letiyu so dnya smerti V.S. Solov'eva i 20-letiyu pravednoy konchiny protoiereya Aleksandra Menya». Ivanovo, 23–25 sentyabrya 2010 g. [Proceedings of the international scientific conference “Philosophy of V.S. Solovyov in intercultural communication: to the 110th anniversary of the death of V.S. Solovyov and the 20th anniversary of the righteous death of Archpriest Alexander Men'”, Ivanovo, September 23–25, 2010]. Ivanovo, 2010, pp. 86–90.
(Monographs)
13. Katasonov, V. Borovshiysya s beskonechnym. Filosofsko-religioznye aspekty genezisa teorii mnozhestv G. Kantora [Struggling with the Infinite.Philosophical and religious aspects of the genesis of G. Kantor's theory of sets]. Moscow: MARTIS, 2016. 208 p.
14. Kiyashchenko, L., Moiseev, V. Filosofiya transdistsiplinarnosti [Philosophy of transdisciplinarity]. Moscow: IFRAN, 2009, pp. 86–93.
15. Moiseev, V.I. Logika vseedinstva [Logic of All-Unity]. Moscow: PER SE, 2002. 415 p.
16. Moiseev, V.I. Mirologiya: Nauka o miropodobnykh sistemakh [Myrology: The science of world-like systems]. Moscow: LENAND, 2022. 600 p.
17. Moiseev, V.I. Logika otkrytogo sinteza: v 2 t., t. 1. Struktura. Priroda. Dusha. Kn. 2 [Logic of open synthesis: in 2 vols., vol. 1. Structure. Nature. Soul. Book 2]. Saint-Petersburg: ID «Mir"», 2010. 743 p.
Key words:
unity, neo-unity, logic of unity, worldology, projective-modal ontology, antinomies
The DOI index:
10.17588/2076-9210.2026.1.087-100
Publication file:
