The Logic of Fractality as a Monistic Project of Materialist Dialectics
Keywords:
Materialist dialectics, totality, fractality, radical negativity, monism, Ilyenkov, Hegel, logic, negation, forms of communication
Abstract
This article traces the historical development of materialist dialectics as an independent form of thought. It undertakes a critical analysis of those authors who have considered the history of materialist dialectics in Marxist terms, for which they have proposed various conceptual schemata. In tracing these schemata, the article, moreover, addresses various articulations of the rift between Western and Eastern Marxist authors. In contrast to most critical analyses, which emphasize the distinction between these lines of thought, the article proposes an original project for materialist dialectics, issuing from the unity and identity of dialectics as a logic with practical materialism’s theory of knowledge: a consistent and defining trend in the tradition of materialist dialectics. The project’s reliance upon the principle of the identity of being and thinking, which I define as a logic of fractality, situates it as a continuation of an unbroken line within materialist dialectics, resolving, in particular, the problem of radical negativity. This raises the problem of defining the category of “totality” as a concrete category. Tackling this problem reveals the limitations of the category of “self-other,” prompting an elaboration in its stead of the category of fractality. Fractality, in its turn, is defined as an ultimate (total) relation of discontinuity (fragmentariness), taken together with its becoming. The article considers the indispensability of this category for the system of definitions within dialectical logic, demonstrating its role in justifying the attributive nature of thinking.
References
Althusser, Louis (2005) “Troisième partie. Contradiction et surdétermination. (Notes pour une recherche)”. Pour Marx. La Découverte.
Badiou, Alain (2018). “Filiatsiya i seksuatsiya filosofii” [The Filiation and Sexualization of Philosophy] [2011]. Trans. Nikita Archipov. Syg.ma. https://syg.ma/@ nikitaarchipov/ alien-badiu-o-lakanie-i-antifilosofii.
Badiou Alain, Bellassen Joël, Mossot Louis (2011). The Rational Kernel of the Hegelian Dialectic. Melbourne: Re-press.
Bak, Per (1999). How Nature Works: The Science of Self-Organized Criticality. New York: Copernicus Books (Springer-Verlag).
Batishchev, Heinrich (1997). Vvedenie v dialektiku tvorchestva [Introduction to the Dialectics of Creativity]. St Petersburg: RCHI.
Baudrillard, Jean (2009). The Transparency of Evil: Essays on Extreme Phenomena. Trans. James Benedict. New York & London: Verso.
Belinsky, Vissarion (1948). Sobranie sochineniy v trekh tomakh, tom II. Stat’i i retsenzii 1841–1845 [The Collected Works in Three Volumes, Vol. II: Articles and Reviews 1841–1845]. Moscow: GIHL.
Bosenko, Valery (2001). Vseobshchaya teoriya razvitiya [Universal Theory of Development]. Kiev.
Brassier, Ray (2007) Nihil Unbound: Enlightenment and Extinction. London: Palgrave Macmillan.
Buck-Morss, Susan (2009). Hegel, Haiti, and Universal History. Pittsburgh: University of Pittsburgh Press.
Burik, Marina (2015). Logika telesnosti [The Logic of Corporeality]. Moscow: Lenand.
Burik, Marina (2016). Chelovek i ekonomika v virtualizirovannom mire [Man and Economy in a Virtualized World]. Moscow: Agrar Media Group.
Chekhov, Anton (1977). Polnoe sobranie sochineniy i pisem v 30-ti tomakh, tom 8 [The Collected Works and Correspondence in 30 Volumes, Vol. 8]. Moscow: Nauka.
Comay, Rebecca (2011). Mourning Sickness: Hegel and the French Revolution. Stanford: Stanford University Press.
Demenok, Sergey (2020). Prosto fraktal [Simply Fractal]. Moscow: Strata.
Dubrovskikh, Aleksandr (2019). “Problema izvlecheniya ‘ratsional’nogo zerna’ gegelevskoy dialektiki v rabotakh Alena Bad’yu perioda ‘krasnogo desyatiletiya’” [The Problem of Extracting the ‘Rational Kernel’ of Hegelian Dialectics in Alain Badiou’s Works from the ‘Red Decade’]. Postulat [Postulate], N 8 (2019). http://epostulat.ru/index.php/Postulat/article/view/2803/2847#.
Feder, Jens (1988). Fractals. New York: Springer New York.
Fromm, Erich (2011). Escape From Freedom. New York & Tokyo: Ishi Press.
Girenok, Fedor (2021). Klipovoe soznanie [Clip Consciousness]. Moscow: Prospekt.
Gutov, Dmitriy (2017). “Kak chitat’ Karla Marksa” [How to Read Karl Marx]. Arzamas. https://arzamas.academy/materials/365.
Harman, Graham (2018). Speculative Realism: An Introduction. Cambridge: Polity Press.
Hegel, Georg Wilhelm Friedrich (2010). The Science of Logic. Trans. George Di Giovanni. Cambridge: Cambridge University Press.
Hegel, Georg Wilhelm Friedrich (2010). “Subjective Logic or the Doctrine of the Concept,” in The Science of Logic. Trans. George Di Giovanni. Cambridge: Cambridge University Press.
Hui, Yuk (2019). Recursivity and Contingency. London: Rowman & Littlefield.
Ilyenkov, Evald (1984). Iskusstvo i kommunisticheskiy ideal [Art and the Communist Ideal]. Moscow: Iskusstvo.
Ilyenkov, Evald (2009). “Psikhologiya.” Voprosy filosofii [Philosophical Questions], N 6 (2009): 92–100.
Ilyenkov, Evald (2019). Abstraktnoe i konkretnoe: sobranie sochineniy, tom I [The Abstract and the Concrete: A Collection of Essays]. Moscow: Canon+, ROOI “Rehabilitation.”
Ilyin, Ivan (1994). Filosofiya Gegelya kak uchenie o konkretnosti Boga i cheloveka, v 2 t. [Hegel’s Philosophy as a Doctrine on the Concreteness of God and Man, in Two Volumes]. St Petersburg: Nauka.
Khamidov, Aleksandr (1977). Ponyatie prevrashchennoy formy v marksistskoy dialektike. (Na materiale “Kapitala” Marksa) [The Notion of Transformed Form in Marxist Dialectics. (Based on Material from Marx’s Capital)]: Doctoral Dissertation in Philosophy: 09.00.01. Moscow: Institut Filosofii AN SSSR.
Khaytun, Sergey (2016). Ot ergodicheskoy gipotezy k fraktal’noy kartine mira: Rozhdenie i osmyslenie novoy paradigmy [From the Ergodic Hypothesis to a Fractal Worldview: The Birth and Reflection of a New Paradigm]. Moscow: URSS.
Kojève, Alexandre (1973). “The Idea of Death in the Philosophy of Hegel.” Interpretation 3 (2/3):114–156.
Kopnin, Pavel (1974). Gnoseologicheskie i logicheskie osnovy nauki [The Gnoseological and Logical Foundations of Science]. Moscow: Mysl’.
Krasnoknizhnik [Red Bibliophiles, authorial collective] (2022). “Ontologiya kak “ekonomiks”, ili libertarianskoe perevorachivanie Platona” [Ontology as ‘Economics,’ Or the Libertarian Reversal of Plato]. Syg.ma. https://syg.ma/@krasnoknizhnik/ontologhiia-kak-ekonomiks-ili-libiertarianskoie-pierievorachivaniie-platona.
Lebedev, Andrey (1989). Fragmenty rannikh grecheskikh filosofov. Chast’ I. Ot epicheskikh teokosmogoniy do vozniknoveniya atomistiki. [Fragments from the Early Greek Philosophers. From Epic Theocosmogonies to the Emergence of the Atomists]. Moscow: Nauka.
Lenin, Vladimir (1969). Polnoe sobranie sochineniy, t. 29 [Collected Works, Vol. 29]. Moscow: Politizdat.
Lenin, Vladimir (1969). Polnoe sobranie sochineniy, t. 45 [Collected Works, Vol. 45]. Moscow: Politizdat.
Lifshitz, Mikhail (1988). “O vstrechakh s Lukachem (Iz vospominaniy Mikh. Lifshitsa)” [On Meetings with Lukács (From the Memoirs of M. Lifshitz]. Filosofskie nauki [Philosophical Sciences], № 12 (1988): 126–141.
Lifshitz, Mikhail (2004). Chto takoe klassika? [What are the Classics?] Moscow: Isskustvo XXI Vek.
Lifshitz, Mikhail (2012). Nadoelo. V zashchitu obyknovennogo marksizma [Fed up. In Defence of Ordinary Marxism]. Moscow: Isskustvo XXI Vek.
Lobastov, Gennadiy (2012). Dialektika razumnoy formy i fenomenologiya bezumiya [The Dialectics of Rational Form and the Phenomenology of Madness]. Moscow: “Russkaya Panorama.”
Lobastov, Gennadiy (2017). Ideal’noe. Obraz. Znak. [The Ideal. Image. Sign.]. Moscow: “Russkaya Panorama.”
Losev, Aleksey (1988). Derzanie dukha. Sbornik statey A. F. Loseva. Sost. Yu. A. Rostovtsev [The Audacity of Spirit. A Collection of Articles by A. F. Losev, Compiled by Yu. A. Rostovstsev]. Moscow: Politizdat.
Lukács, Georg (1971). History and Class Consciousness: Studies in Marxist Dialectics. Trans. Rodney Livingstone. Cambridge & London: MIT Press.
Malabou, Catherine, Butler, Judith (2010). Sois mon corps: Une lecture contemporaine de la domination et de la servitude chez Hegel. Paris: Bayard.
Malabou, Catherine (2009). Plasticity at the Dusk of Writing: Dialectic, Destruction, Deconstruction. New York: Columbia University Press.
Mamardashvili, Merab (1992). Kak ya ponimayu filosofiyu [How I Understand Philosophy]. Moscow: Publishing Group “Progress.”
Mamardashvili, Merab (2011). Formy i soderzhanie myshleniya [Content and Forms of Thinking]. St Petersburg: Azbuka-Attikus.
Marcuse, Herbert (2002). One-Dimensional Man: Studies in the Ideology of Advanced Industrial Society. London: Routledge.
Mareev, Sergey (1984). “Printsip sistemnosti i dialektika” [The Principle of Systematicity and Dialectics]. In Printsipy materialisticheskoy dialektiki kak teorii poznaniya [Principles of Materialist Dialectics as a Theory of Knowledge], ed. V. A. Lektorskiy, 89–131. Moscow: Nauka.
Mareev, Sergey (2008). Iz istorii sovetskoy filosofii. Lukach-Vygotskiy-Il’enkov [From the History of Soviet Philosophy. Lukács-Vygotsky-Ilyenkov] Moscow: Kul’turnaya revolyutsiya.
Meillassoux, Quentin (2009). After Finitude: An Essay on the Necessity of Contingency. Trans. Ray Brassier. London: Continuum.
Men’chikov, Gennadiy (2008). “Fraktal’nost’ — vseobshchee svoystvo bytiya” [Fractality — A Universal Property of Being]. Uchenye zapiski Kazanskogo gosudarstvennogo universiteta. Gumanitarnye nauki, tom 150, kn. 4 [Academic Notes from Kazan State University. The Humanities, Volume 150, Book 4] (2008): 80 — 86.
Morozov, Maksim (2021b). “Protivorechie nepreryvnosti i diskretnosti kak sushchestvennoe opredelenie fraktal’nogo” [The Contradiction Between the Continuous and the Discrete as the Essential Definition of the Fractal]. Problemy sovremennogo obrazovaniya [Challenges in Contemporary Education], N 5: 9–22.
Morozov, Maksim (2021а). “Filosofiya razlichiya: apologiya kapitalizma i popytka preodoleniya logiki Gegelya” [The Philosophy of Difference: An Apologia for Capitalism and Attempt to Overcome Hegel’s Logic]. Mistse ta rol ideinoi spadshchyny H. V. F. Hehelia v yevropeiskii ta svitovii istorii: Materialy 1-yi naukovoi konferentsii “Hehelivski shtudii,” prysviachenoi 250-richchiu z dnia narodzhennia H. V. F. Hehelia. Kyiv. 19 Hrudnia 2020 р. / ukladachi: Bohachev R. M., Havva O. V., Pikhorovych V. D. [The Place and Role of the Ideological Heritage of G. W. F. Hegel in European and World history: Materials from the First Academic Conference “Hegel Studies,” Dedicated to the 250th Anniversary of the Birth of G. W. F. Hegel], 121–126. Kyiv: Vydavnytstvo Lira-K.
Morozov, Maksim (2022). Filosofsko-metodologicheskie problemy postroeniya yedinoy kontseptsii fraktal’nosti [Philosophical-Methodological Problems of Constructing a Unified Concept of Fractality]: Doctoral Dissertation in Philosophy: 5.7.1. Moscow: Moscow State Pedagogical University.
Naumenko, Lev (1968). Monizm kak printsip dialekticheskoy logiki [Monism as a Principle of Dialectical Logic]. Almaty: Nauka.
Naumenko, Lev (2012). “Nashe” i “moe.” Dialektika gumanisticheskogo marksizma [“Ours” and “Mine.” Dialectics of a Humanist Marxism]. Moscow: URSS.
Peitgen, Heinz-Otto; Richter, Peter H. (2011). The Beauty of Fractals: Images of Complex Dynamical Systems [1986]. Berlin & Heidelberg: Springer-Verlag.
Penzin, Aleksey (2018). “‘Kosmologiya dukha’ Eval’da Il’enkova: opyt prochteniya v svete sovremennykh filosofskikh diskussiy” [Evald Ilyenkov’s ‘Cosmology of Spirit’: A Reading Experience in Light of Contemporary Philosophical Discussions].
Elektronnyy filosofskiy zhurnal Vox [Vox, an Online Philosophical Journal], N 25. https://vox-journal.org/html/issues/450/479.
Potemkin, Aleksey (2003). Metafilosofskie diatriby na beregakh Kiziterinki [Metaphilosophical Diatribes on the Banks of the Kiziterinka]. Rostov-on-Don: Rostizdat.
Raunig, Gerald (2007). Art and Revolution: Transversal Activism in the Long Twentieth Century. Los Angeles & New York: Semiotext(e).
Savin, Aleksey (2020). “Istoki interpretatsii i kritiki filosofskikh osnov leninizma v zapadnom marksizme” [Sources of the Interpretation and Critique of the Philosophical Foundations of Leninism in Western Marxism]. Vestnik Tomskogo gosudarstvennogo universiteta [Journal of Tomsk State University], N 458 (2020): 79–84.
Siemek, Marek (1998). Hegel i filozofia. Warszawa: Oficyna naukowa.
Siemek, Marek (2009). “Lenin i kamerdynerzy. Slavoja Zizka rehabilitacja marksizmu”. Nowa krytyka. Czasopismo filozoficzne. http://www.nowakrytyka.pl/pl/artykuly/Nk_on-line/?id=661.
Siemek, Marek Jan (2019). “Lenin i prisluzhniki” [Lenin and His Acolytes] [2009], trans. Renata Galiaskarowa. Propaganda Journal. http://propaganda-journal.net/10446.html.
Sutkin, Anton (2019). “Spasenie Absolyuta: Shelling i drugoe nachalo materialisticheskoy dialektiki” [Saving The Absolute: Schelling and an Alternative Origin of Dialectical Materialism]. Logos [Logos] 29, N 6 (2019): 47–72.
Svetlov, Viktor (2021). Dialekticheskoe protivorechie: Novye formal’nye osnovaniya dialekticheskogo myshleniya [Dialectical Contradiction: The New Formal Foundations of Dialectical Thought]. Moscow: URSS.
Tarasenko, Vladislav (1999). “Poznanie kak fraktal’noe bluzhdanie v mire” [Cognition as a Fractal Wandering in the World]. Moskovskiy mezhdunarodnyy sinergeticheskiy forum [Moscow International Synergetic Forum]. https://www.rinotel.ru/fractal/poznanie-kak-fraktalnoe-bluzhdanie-v-mire.html
Tarasenko, Vladislav (2002). Fraktal’naya logika [Fractal Logic]. Moscow: Progress-Traditsiya.
Tomin, Leonid (2014). Sovremennye politicheskie konflikty [Contemporary Political Conflicts]. St Petersburg: St Petersburg University of the Humanities and Social Sciences.
Ukhin, Maksim (2021). Fraktal’naya ontologiya: filosofskaya kontseptualizatsiya fraktal’noy geometrii Mandel’brota na materiale nestabil’nykh ontologiy [Fractal Ontology: A Philosophical Conceptualization of Mandelbrot’s Fractal Geometry Based On the Material of Unstable Ontologies] Moscow: Moscow State University (Final Graduation Work).
Žižek, Slavoj (2009). The Parallax View. Cambridge & London: MIT Press.
Žižek, Slavoj (2012). Less Than Nothing. New York & London: Verso.
Žižek, Slavoj (2019). “Varieties of the Transcendental in Western Marxism”. PROBLEMI INTERNATIONAL 3, N 3 (2019): 5–25.
Badiou, Alain (2018). “Filiatsiya i seksuatsiya filosofii” [The Filiation and Sexualization of Philosophy] [2011]. Trans. Nikita Archipov. Syg.ma. https://syg.ma/@ nikitaarchipov/ alien-badiu-o-lakanie-i-antifilosofii.
Badiou Alain, Bellassen Joël, Mossot Louis (2011). The Rational Kernel of the Hegelian Dialectic. Melbourne: Re-press.
Bak, Per (1999). How Nature Works: The Science of Self-Organized Criticality. New York: Copernicus Books (Springer-Verlag).
Batishchev, Heinrich (1997). Vvedenie v dialektiku tvorchestva [Introduction to the Dialectics of Creativity]. St Petersburg: RCHI.
Baudrillard, Jean (2009). The Transparency of Evil: Essays on Extreme Phenomena. Trans. James Benedict. New York & London: Verso.
Belinsky, Vissarion (1948). Sobranie sochineniy v trekh tomakh, tom II. Stat’i i retsenzii 1841–1845 [The Collected Works in Three Volumes, Vol. II: Articles and Reviews 1841–1845]. Moscow: GIHL.
Bosenko, Valery (2001). Vseobshchaya teoriya razvitiya [Universal Theory of Development]. Kiev.
Brassier, Ray (2007) Nihil Unbound: Enlightenment and Extinction. London: Palgrave Macmillan.
Buck-Morss, Susan (2009). Hegel, Haiti, and Universal History. Pittsburgh: University of Pittsburgh Press.
Burik, Marina (2015). Logika telesnosti [The Logic of Corporeality]. Moscow: Lenand.
Burik, Marina (2016). Chelovek i ekonomika v virtualizirovannom mire [Man and Economy in a Virtualized World]. Moscow: Agrar Media Group.
Chekhov, Anton (1977). Polnoe sobranie sochineniy i pisem v 30-ti tomakh, tom 8 [The Collected Works and Correspondence in 30 Volumes, Vol. 8]. Moscow: Nauka.
Comay, Rebecca (2011). Mourning Sickness: Hegel and the French Revolution. Stanford: Stanford University Press.
Demenok, Sergey (2020). Prosto fraktal [Simply Fractal]. Moscow: Strata.
Dubrovskikh, Aleksandr (2019). “Problema izvlecheniya ‘ratsional’nogo zerna’ gegelevskoy dialektiki v rabotakh Alena Bad’yu perioda ‘krasnogo desyatiletiya’” [The Problem of Extracting the ‘Rational Kernel’ of Hegelian Dialectics in Alain Badiou’s Works from the ‘Red Decade’]. Postulat [Postulate], N 8 (2019). http://epostulat.ru/index.php/Postulat/article/view/2803/2847#.
Feder, Jens (1988). Fractals. New York: Springer New York.
Fromm, Erich (2011). Escape From Freedom. New York & Tokyo: Ishi Press.
Girenok, Fedor (2021). Klipovoe soznanie [Clip Consciousness]. Moscow: Prospekt.
Gutov, Dmitriy (2017). “Kak chitat’ Karla Marksa” [How to Read Karl Marx]. Arzamas. https://arzamas.academy/materials/365.
Harman, Graham (2018). Speculative Realism: An Introduction. Cambridge: Polity Press.
Hegel, Georg Wilhelm Friedrich (2010). The Science of Logic. Trans. George Di Giovanni. Cambridge: Cambridge University Press.
Hegel, Georg Wilhelm Friedrich (2010). “Subjective Logic or the Doctrine of the Concept,” in The Science of Logic. Trans. George Di Giovanni. Cambridge: Cambridge University Press.
Hui, Yuk (2019). Recursivity and Contingency. London: Rowman & Littlefield.
Ilyenkov, Evald (1984). Iskusstvo i kommunisticheskiy ideal [Art and the Communist Ideal]. Moscow: Iskusstvo.
Ilyenkov, Evald (2009). “Psikhologiya.” Voprosy filosofii [Philosophical Questions], N 6 (2009): 92–100.
Ilyenkov, Evald (2019). Abstraktnoe i konkretnoe: sobranie sochineniy, tom I [The Abstract and the Concrete: A Collection of Essays]. Moscow: Canon+, ROOI “Rehabilitation.”
Ilyin, Ivan (1994). Filosofiya Gegelya kak uchenie o konkretnosti Boga i cheloveka, v 2 t. [Hegel’s Philosophy as a Doctrine on the Concreteness of God and Man, in Two Volumes]. St Petersburg: Nauka.
Khamidov, Aleksandr (1977). Ponyatie prevrashchennoy formy v marksistskoy dialektike. (Na materiale “Kapitala” Marksa) [The Notion of Transformed Form in Marxist Dialectics. (Based on Material from Marx’s Capital)]: Doctoral Dissertation in Philosophy: 09.00.01. Moscow: Institut Filosofii AN SSSR.
Khaytun, Sergey (2016). Ot ergodicheskoy gipotezy k fraktal’noy kartine mira: Rozhdenie i osmyslenie novoy paradigmy [From the Ergodic Hypothesis to a Fractal Worldview: The Birth and Reflection of a New Paradigm]. Moscow: URSS.
Kojève, Alexandre (1973). “The Idea of Death in the Philosophy of Hegel.” Interpretation 3 (2/3):114–156.
Kopnin, Pavel (1974). Gnoseologicheskie i logicheskie osnovy nauki [The Gnoseological and Logical Foundations of Science]. Moscow: Mysl’.
Krasnoknizhnik [Red Bibliophiles, authorial collective] (2022). “Ontologiya kak “ekonomiks”, ili libertarianskoe perevorachivanie Platona” [Ontology as ‘Economics,’ Or the Libertarian Reversal of Plato]. Syg.ma. https://syg.ma/@krasnoknizhnik/ontologhiia-kak-ekonomiks-ili-libiertarianskoie-pierievorachivaniie-platona.
Lebedev, Andrey (1989). Fragmenty rannikh grecheskikh filosofov. Chast’ I. Ot epicheskikh teokosmogoniy do vozniknoveniya atomistiki. [Fragments from the Early Greek Philosophers. From Epic Theocosmogonies to the Emergence of the Atomists]. Moscow: Nauka.
Lenin, Vladimir (1969). Polnoe sobranie sochineniy, t. 29 [Collected Works, Vol. 29]. Moscow: Politizdat.
Lenin, Vladimir (1969). Polnoe sobranie sochineniy, t. 45 [Collected Works, Vol. 45]. Moscow: Politizdat.
Lifshitz, Mikhail (1988). “O vstrechakh s Lukachem (Iz vospominaniy Mikh. Lifshitsa)” [On Meetings with Lukács (From the Memoirs of M. Lifshitz]. Filosofskie nauki [Philosophical Sciences], № 12 (1988): 126–141.
Lifshitz, Mikhail (2004). Chto takoe klassika? [What are the Classics?] Moscow: Isskustvo XXI Vek.
Lifshitz, Mikhail (2012). Nadoelo. V zashchitu obyknovennogo marksizma [Fed up. In Defence of Ordinary Marxism]. Moscow: Isskustvo XXI Vek.
Lobastov, Gennadiy (2012). Dialektika razumnoy formy i fenomenologiya bezumiya [The Dialectics of Rational Form and the Phenomenology of Madness]. Moscow: “Russkaya Panorama.”
Lobastov, Gennadiy (2017). Ideal’noe. Obraz. Znak. [The Ideal. Image. Sign.]. Moscow: “Russkaya Panorama.”
Losev, Aleksey (1988). Derzanie dukha. Sbornik statey A. F. Loseva. Sost. Yu. A. Rostovtsev [The Audacity of Spirit. A Collection of Articles by A. F. Losev, Compiled by Yu. A. Rostovstsev]. Moscow: Politizdat.
Lukács, Georg (1971). History and Class Consciousness: Studies in Marxist Dialectics. Trans. Rodney Livingstone. Cambridge & London: MIT Press.
Malabou, Catherine, Butler, Judith (2010). Sois mon corps: Une lecture contemporaine de la domination et de la servitude chez Hegel. Paris: Bayard.
Malabou, Catherine (2009). Plasticity at the Dusk of Writing: Dialectic, Destruction, Deconstruction. New York: Columbia University Press.
Mamardashvili, Merab (1992). Kak ya ponimayu filosofiyu [How I Understand Philosophy]. Moscow: Publishing Group “Progress.”
Mamardashvili, Merab (2011). Formy i soderzhanie myshleniya [Content and Forms of Thinking]. St Petersburg: Azbuka-Attikus.
Marcuse, Herbert (2002). One-Dimensional Man: Studies in the Ideology of Advanced Industrial Society. London: Routledge.
Mareev, Sergey (1984). “Printsip sistemnosti i dialektika” [The Principle of Systematicity and Dialectics]. In Printsipy materialisticheskoy dialektiki kak teorii poznaniya [Principles of Materialist Dialectics as a Theory of Knowledge], ed. V. A. Lektorskiy, 89–131. Moscow: Nauka.
Mareev, Sergey (2008). Iz istorii sovetskoy filosofii. Lukach-Vygotskiy-Il’enkov [From the History of Soviet Philosophy. Lukács-Vygotsky-Ilyenkov] Moscow: Kul’turnaya revolyutsiya.
Meillassoux, Quentin (2009). After Finitude: An Essay on the Necessity of Contingency. Trans. Ray Brassier. London: Continuum.
Men’chikov, Gennadiy (2008). “Fraktal’nost’ — vseobshchee svoystvo bytiya” [Fractality — A Universal Property of Being]. Uchenye zapiski Kazanskogo gosudarstvennogo universiteta. Gumanitarnye nauki, tom 150, kn. 4 [Academic Notes from Kazan State University. The Humanities, Volume 150, Book 4] (2008): 80 — 86.
Morozov, Maksim (2021b). “Protivorechie nepreryvnosti i diskretnosti kak sushchestvennoe opredelenie fraktal’nogo” [The Contradiction Between the Continuous and the Discrete as the Essential Definition of the Fractal]. Problemy sovremennogo obrazovaniya [Challenges in Contemporary Education], N 5: 9–22.
Morozov, Maksim (2021а). “Filosofiya razlichiya: apologiya kapitalizma i popytka preodoleniya logiki Gegelya” [The Philosophy of Difference: An Apologia for Capitalism and Attempt to Overcome Hegel’s Logic]. Mistse ta rol ideinoi spadshchyny H. V. F. Hehelia v yevropeiskii ta svitovii istorii: Materialy 1-yi naukovoi konferentsii “Hehelivski shtudii,” prysviachenoi 250-richchiu z dnia narodzhennia H. V. F. Hehelia. Kyiv. 19 Hrudnia 2020 р. / ukladachi: Bohachev R. M., Havva O. V., Pikhorovych V. D. [The Place and Role of the Ideological Heritage of G. W. F. Hegel in European and World history: Materials from the First Academic Conference “Hegel Studies,” Dedicated to the 250th Anniversary of the Birth of G. W. F. Hegel], 121–126. Kyiv: Vydavnytstvo Lira-K.
Morozov, Maksim (2022). Filosofsko-metodologicheskie problemy postroeniya yedinoy kontseptsii fraktal’nosti [Philosophical-Methodological Problems of Constructing a Unified Concept of Fractality]: Doctoral Dissertation in Philosophy: 5.7.1. Moscow: Moscow State Pedagogical University.
Naumenko, Lev (1968). Monizm kak printsip dialekticheskoy logiki [Monism as a Principle of Dialectical Logic]. Almaty: Nauka.
Naumenko, Lev (2012). “Nashe” i “moe.” Dialektika gumanisticheskogo marksizma [“Ours” and “Mine.” Dialectics of a Humanist Marxism]. Moscow: URSS.
Peitgen, Heinz-Otto; Richter, Peter H. (2011). The Beauty of Fractals: Images of Complex Dynamical Systems [1986]. Berlin & Heidelberg: Springer-Verlag.
Penzin, Aleksey (2018). “‘Kosmologiya dukha’ Eval’da Il’enkova: opyt prochteniya v svete sovremennykh filosofskikh diskussiy” [Evald Ilyenkov’s ‘Cosmology of Spirit’: A Reading Experience in Light of Contemporary Philosophical Discussions].
Elektronnyy filosofskiy zhurnal Vox [Vox, an Online Philosophical Journal], N 25. https://vox-journal.org/html/issues/450/479.
Potemkin, Aleksey (2003). Metafilosofskie diatriby na beregakh Kiziterinki [Metaphilosophical Diatribes on the Banks of the Kiziterinka]. Rostov-on-Don: Rostizdat.
Raunig, Gerald (2007). Art and Revolution: Transversal Activism in the Long Twentieth Century. Los Angeles & New York: Semiotext(e).
Savin, Aleksey (2020). “Istoki interpretatsii i kritiki filosofskikh osnov leninizma v zapadnom marksizme” [Sources of the Interpretation and Critique of the Philosophical Foundations of Leninism in Western Marxism]. Vestnik Tomskogo gosudarstvennogo universiteta [Journal of Tomsk State University], N 458 (2020): 79–84.
Siemek, Marek (1998). Hegel i filozofia. Warszawa: Oficyna naukowa.
Siemek, Marek (2009). “Lenin i kamerdynerzy. Slavoja Zizka rehabilitacja marksizmu”. Nowa krytyka. Czasopismo filozoficzne. http://www.nowakrytyka.pl/pl/artykuly/Nk_on-line/?id=661.
Siemek, Marek Jan (2019). “Lenin i prisluzhniki” [Lenin and His Acolytes] [2009], trans. Renata Galiaskarowa. Propaganda Journal. http://propaganda-journal.net/10446.html.
Sutkin, Anton (2019). “Spasenie Absolyuta: Shelling i drugoe nachalo materialisticheskoy dialektiki” [Saving The Absolute: Schelling and an Alternative Origin of Dialectical Materialism]. Logos [Logos] 29, N 6 (2019): 47–72.
Svetlov, Viktor (2021). Dialekticheskoe protivorechie: Novye formal’nye osnovaniya dialekticheskogo myshleniya [Dialectical Contradiction: The New Formal Foundations of Dialectical Thought]. Moscow: URSS.
Tarasenko, Vladislav (1999). “Poznanie kak fraktal’noe bluzhdanie v mire” [Cognition as a Fractal Wandering in the World]. Moskovskiy mezhdunarodnyy sinergeticheskiy forum [Moscow International Synergetic Forum]. https://www.rinotel.ru/fractal/poznanie-kak-fraktalnoe-bluzhdanie-v-mire.html
Tarasenko, Vladislav (2002). Fraktal’naya logika [Fractal Logic]. Moscow: Progress-Traditsiya.
Tomin, Leonid (2014). Sovremennye politicheskie konflikty [Contemporary Political Conflicts]. St Petersburg: St Petersburg University of the Humanities and Social Sciences.
Ukhin, Maksim (2021). Fraktal’naya ontologiya: filosofskaya kontseptualizatsiya fraktal’noy geometrii Mandel’brota na materiale nestabil’nykh ontologiy [Fractal Ontology: A Philosophical Conceptualization of Mandelbrot’s Fractal Geometry Based On the Material of Unstable Ontologies] Moscow: Moscow State University (Final Graduation Work).
Žižek, Slavoj (2009). The Parallax View. Cambridge & London: MIT Press.
Žižek, Slavoj (2012). Less Than Nothing. New York & London: Verso.
Žižek, Slavoj (2019). “Varieties of the Transcendental in Western Marxism”. PROBLEMI INTERNATIONAL 3, N 3 (2019): 5–25.
Published
2022-11-07
How to Cite
Morozov, M. (2022). The Logic of Fractality as a Monistic Project of Materialist Dialectics. Stasis, 13(1), 118-150. Retrieved from https://stasisjournal.net/index.php/journal/article/view/215
Section
Articles
Copyright (c) 2022 stasis@eu.spb.ru European University at St Petersburg
This work is licensed under a Creative Commons Attribution 4.0 International License.
