First published in English in 1935, this is a vital and stimulating critical appraisal of contemporary thought in the post-World War One era. Written by a selection of leading Marxist thinkers including Nikolai Bukharin, who would later become one of the most famous victims of Stalin's show trials, this work offers a Marxist critique of contemporary thought relating to philosophy, science and history. The authors all lean towards the view that the general tendency of modern thought is to abandon (...) the historical method and to deny progress, with the conclusion that Marxism was the only historical and progressive outlook in science, philosophy and history in the period following the First World War and the Communist revolution in Russia. A fascinating document of great historical and political interest which offers an invaluable insight into contemporary thought in the Soviet Union of the 1930s. (shrink)

The spiritual geography of Russian cosmism. General characteristics ; Recent definitions of cosmism -- Forerunners of Russian cosmism. Vasily Nazarovich Karazin (1773-1842) ; Alexander Nikolaevich Radishchev (1749-1802) ; Poets: Mikhail Vasilyevich Lomonosov, (1711-1765) and Gavriila Romanovich Derzhavin (1743-1816) ; Prince Vladimir Fedorovich Odoevsky (1803-1869) ; Aleksander Vasilyevich Sukhovo-Kobylin (1817-1903) -- The Russian philosophical context. Philosophy as a passion ; The destiny of Russia ; Thought as a call for action ; The totalitarian cast of mind -- The religious and spiritual (...) context. The kingdom of god on earth ; Hesychasm: two great Russian saints ; The Third Rome ; Pre-Christian antecedents -- The Russian esoteric context. Early searches for "deep wisdom" ; Popular magic ; Higher magic in the time of Peter the Great ; Esotericism after Peter the Great ; Theosophy and anthroposophy -- Nikolai Fedorovich Fedorov (1829-1903), the philosopher of the common task ; The one idea ; The unacknowledged prince ; The village teacher ; First disciple: Dostoevsky and Tolstoy ; The Moscow librarian ; Last years: Askhabad: the only portrait -- The "common task" ; Esoteric dimensions of the "common task" ; Fedorov's legacy: projectivism, delo, regulation -- The religious cosmists. Vladimir Sergeevich Solovyov (1853-1900) ; Sergei Nikolaevich Bulgakov (1871-1944) ; Pavel Aleksandrovich Florensky (1882-1937) ; Nikolai Aleksandrovich Berdyaev (1874-1948) -- The scientific cosmists. Konstantin Edouardovich Tsiolkovsky (1857-1935) ; Vladimir Ivanovich Vernadsky (1863-1945) ; Alexander Leonidovich Chizhevsky (1897-1964) ; Vasily Feofilovich Kuprevich (1897-1969) -- Promethean theurgy. Life-creation ; Cultural immortalism ; God-building ; Re-aiming the arrows of Eros ; Technological utopianism ; Occultism -- Fedorov's twentieth century followers. Nikolai Pavlovich Peterson (1844-1919) and Vladimir Aleksandrovich Kozhevnikov (1852-1917) ; Svyatogor and the biocosmists ; New wine and the universal task ; Alexander Konstantinovich Gorsky (1886-1943) and Nikolai Alexandrovich Setnitsky (1888-1937) ; Valerian Nikolaevich Muravyov (1885-1932) ; Vasily Nikolaevich Chekrygin (1897-1922) -- Cosmism and its offshoots today. The N.F. Fedorov museum-library ; The Tsiolkovsky museum and Chizhevsky center ; ISRICA - Institute for Scientific Research in Cosmic Anthropoecology ; Lev Nikolaevich Gumilev (1912-1992) and neo-eurasianism ; The hyperboreans ; Scientific immortalism: Igor Vishev, Danila Medvedev ; Conclusions about the Russian cosmists. (shrink)

The phenomenon of nationalism, which emerged as a result of modernization and industrialization in Western Europe, soon began to threaten the multi-lingual multinational feudal state structure of the Tsarist administration. Tsarist Russia, which wanted to preserve its borders and the existing state structure that expanded to the Caucasus and Turkestan, followed the assimilation and missionary policies towards the middle of the 19th century to Russify and Christianize non-Russian (Nerusky) and non-Christian (Inoverets) ethnic groups. At the beginning of this cultural nationalist (...) policy, which was carried out by Nikolai Ivanovich Ilminsky, who worked on theology and Turkish dialects in Kazan Spiritual Academy, in order to have Russian as a language of education and communication within the Tsarist borders. The education method of Ilminsky, supported by Tsar Alexander II, enabled the Russian language and Christianity to become widespread and more systematically applied as a reflection of the rising Russian nationalism. In line with this training method, it was aimed to carry out missionary activities, to teach Russian and Cyrillic alphabet alongside local languages, to divide these languages with accents and dialects and to make Russian a common language within Tsarist borders. Thus, the religious and ethnically different groups were wanted to be assimilated within the Russian and Orthodox Christian identities. This study examines the process of cultural assimilation policy carried out by the Russian nationalism through the education system of Ilminsky, the factors affecting this process, the structure and applications of this education system. Although the education system of Ilminsky did not reach its target within the boundaries of the empire, it was seen to be quite effective in Christianization of Tatar Turks, in spreading Russian among other ethnic groups and in terms of laying the ground for the subsequent Russification policies. The Ilminsky education system, which caused the start of a new phase in Russian nationalism, led to the emergence of nationalist ideas and intelligentsia among the ethnic groups exposed to this system The nationalist ideas spread among the ethnic groups exposed to the policy of Russification have enabled the establishment of new educational systems and the emergence of national liberation movements. (shrink)

Nikolai Fedorovich Fedorov is one of the most original and as yet inadequately studied Russian thinkers. Neither a professional philosopher, nor a well-known scholar, nor a critical essayist, he led a kind of double existence while working as an ordinary civil servant, developing his original philosophy at his leisure in the hours free from his intensive daily work. Fedorov's life was one of selflessness and self-denial, not at all eventful outwardly. He graduated from the Gymnasium in Tambov and completed (...) three years of study in the Law Department of the Richelieu Lyceum in Odessa, after which he taught for a number of years in the Borovsk, Lipetsk, Podol'sk, and other regional schools. The quarter century he spent working in the Library of the Rumiantsev Museum in Moscow was the most stable period in Fedorov's life. Fedorov's ideas attracted the attention of outstanding cultural figures. F.M. Dostoevskii became acquainted with them in 1878 through Peterson, and on March 24 of that year he wrote: "I am essentially in full accord with these ideas. I read them as if they were my own." L.N. Tolstoy, who knew Fedorov personally, said, "I am proud to be living in the same times as such a man." V.S. Solov'ev, who also associated with Fedorov, wrote to him as follows in the mid-1880s: "Your ‘project’ is the human spirit's first advance along the path of Christ since the advent of Christianity. As for me, I can only acknowledge you as my teacher and spiritual father." A.M. Gorky was especially impressed by the activism in Fedorov's views. But none of this precludes the many and very essential divergences of these authors from Fedorov. One can find some links with his ideas in A.N. Belyi, V. Ia. Briusov, N.A. Zabolotskii, V.V. Maiakovskii, A.P. Platonov, M.M. Prishvin, I.L. Sel'vinskii, O.D. Forsh, and V.N. Khlebnikov. The artist B.N. Chekrygin drafted a large fresco entitled The Resurrection of the Dead [Voskreshenie mertvykh] and a philosophical work entitled The Synod of the Resurrecting Museum [Sobor voskreshaiushchego muzeia], both inspired by Fedorov's teachings. (shrink)

Fenomen russkogo kosmizma -- Nikolaĭ Fedorovich Fedorov -- Konstantin Ėduardovich T︠S︡iolkovskiĭ -- Vladimir Ivanovich Vernadskiĭ -- Aleksandr Leonidovich Chizhevskiĭ.

Darwin in Russian Thought represents the first comprehensive and systematic study of Charles Darwin's influence on Russian thought from the early 1860s to the October Revolution. While concentrating on the role of Darwin's theory in the development of Russian science and philosophy, Vucinich also explores the dominant ideological and sociological interpretations of evolutionary thought, providing a deft analysis of the views held by the leaders of Russian nihilism, populism, anarchism, and marxism. Darwin's thinking profoundly influenced intellectual discourse in Russia: it (...) effected the emergence of "theoretical theology," a modern effort to provide theological responses to the revolutionary changes in the natural sciences, contributed to the evolution of a modern scientific community, and spurred the rapidly growing concern with the epistemological and ethical foundations of science in general. Scholarly battles were waged among the critics of Darwin--Karl von Baer, Nikolai Iakovlevich Danilevskii and Sergei Ivanovich Korzhinskii, and others--and the defenders of the faith. Vucinich is able to delineate the distinctive national characteristics of Russian Darwinism: the strong influence of Lamarckian thought, the delayed recognition of the contributions of genetics, the near-universal rejection of Social Darwinism, the early anticipation of the triumph of "evolutionary synthesis," and the heavy concentration on the social and moral aspects of evolutionary thought. Vividly argued and rich in detail, Darwin in Russian Thought provides a unique glimpse into the Russian psyche. Darwin in Russian Thought represents the first comprehensive and systematic study of Charles Darwin's influence on Russian thought from the early 1860s to the October Revolution. While concentrating on the role of Darwin's theory in the development of Russian science and philosophy, Vucinich also explores the dominant ideological and sociological interpretations of evolutionary thought, providing a deft analysis of the views held by the leaders of Russian nihilism, populism, anarchism, and marxism. Darwin's thinking profoundly influenced intellectual discourse in Russia: it effected the emergence of "theoretical theology," a modern effort to provide theological responses to the revolutionary changes in the natural sciences, contributed to the evolution of a modern scientific community, and spurred the rapidly growing concern with the epistemological and ethical foundations of science in general. Scholarly battles were waged among the critics of Darwin--Karl von Baer, Nikolai Iakovlevich Danilevskii and Sergei Ivanovich Korzhinskii, and others--and the defenders of the faith. Vucinich is able to delineate the distinctive national characteristics of Russian Darwinism: the strong influence of Lamarckian thought, the delayed recognition of the contributions of genetics, the near-universal rejection of Social Darwinism, the early anticipation of the triumph of "evolutionary synthesis," and the heavy concentration on the social and moral aspects of evolutionary thought. Vividly argued and rich in detail, Darwin in Russian Thought provides a unique glimpse into the Russian psyche. (shrink)

The Nikolais/Louis Dance Technique provides the definite resource for understanding and practicing the influential dance technique developed by two pioneers of modern dance, Alwin Nikolais and Murray Louis. The Nikolais/Louis technique is presented in a week-to-week classroom manual, providing an indispensable tool for teachers and students of this widely studied movement practice. Theoretical background for further reading is set off from the manual for those interested in deeper study. Their philosophy and methodology span a broad readership and offer an important (...) addition to dance literature and American cultural history. (shrink)

Nikolai Zhinkin’s review of Ernst Cassirer is so far the earliest document of the discussion in Russia about Cassirer’s conception of myth and his theory of symbolic forms. The text is published from Zhinkin’s archive. Zhinkin here notes a reorientation of Neo-Kantianism that reveals its hidden relativism and stands as a symptom of its downfall.

This is a translation from the Russian of Nikolai Lossky’s “Heдocтaтки гнoceoлoгiи Бepгcoнa и влiянie иxъ нa eгo мeтaфизикy” (The Defects of Bergson’s Epistemology and Their Consequences on His Metaphysics), which was published in the journal Boпpocы филocoфiи и пcиxoлoгiи (Questions of Philosophy and Psychology) in 1913. In this article, Lossky criticizes Bergson’s epistemological dualism, which completely separates intuition from reason, and which rejects reason in favor of intuition. For Bergson, reality is continuous, indivisible, fluid, etc., and reason distorts (...) it through its acts of division, abstraction, extraction, and so on. Lossky argues that this conclusion does not follow. Reason does not distort the living flow of reality; it rather provides a window unto aspects of the otherwise undivided seamless flowing organic whole. In fact, reason is itself a species of intuition in its own right, namely an intellectual intuition, the object of which is the atemporal facet of the world (the Platonic ideal realm), which is necessary for the existence of its temporal facet. Lossky thus challenges Bergson’s one-sided and self-defeating reduction of being to a flux of changes devoid of changing things. (Frédéric Tremblay). (shrink)

ch. 1. Dosokratiki, Sokrat, Platon, Aristotelʹ -- v. 2. Likeĭ, ėpikup, stoi͡a, Pirron, akademii͡a, neopifagoreizm, Plotin i neoplatonizm.

Andrei Platonov is known mainly for his larger works, often perceived as a surrealistic critic of revolutionary utopia and the building of communism. This makes it all the more interesting to consi...

In der Reihe werden herausragende monographische Untersuchungen und Sammelbände zu allen Aspekten der Philosophie Kants veröffentlicht, ebenso zum systematischen Verhältnis seiner Philosophie zu anderen philosophischen Ansätzen in Geschichte und Gegenwart. Veröffentlicht werden Studien, die einen innovativen Charakter haben und ausdrückliche Desiderate der Forschung erfüllen. Die Publikationen repräsentieren den aktuellsten Stand der Forschung.

The subject of this study is the problem of the failure of attempts by the scientific community to come to a common understanding of what exactly information can be as something encoded into material structures and moved along with them. At the same time, the following aspects of this problem are considered in detail: what is the immediate cause of the information problem; what are the objective and subjective prerequisites for its appearance; why the unresolved nature of this problem does (...) not interfere with the creation and development of communication systems, control and other "smart" devices; is there any general guideline for finding solutions to such problems, and what is it; what role did the philosophy of information play in turning the problem of information from a private scientific problem into a problem of the ideological level. The main results of the conducted research are as follows: the immediate cause of the information problem has been identified and a comprehensively substantiated solution to this problem has been given; it has been revealed that the incompleteness of the materialistic theory of cognition has become a fertile ground for the appearance of this problem; the circumstances that prevented its completion have been identified; the natural mechanism of control and cognition has been revealed, as a result of which the materialistic theory of cognition has been further developed the source of the ideal in the material world is revealed; it is shown that the mechanistic idea of information coding made the concept of information incompatible with the presence of any objective content; it is revealed what is actually hidden behind the words about information coding and its measurement; the nature of signals and signs is revealed; a kind of bias of the philosophy of information and a general error is revealed all known concepts of information. (shrink)

The Kantian legacy has had a key impact on the landscape of theoretical philosophy in the first half of the twentieth century. Philosophers both in Germany and in Russia saw Immanuel Kant’s ideas as seminal for their philosophical research. The main schools of that era were formed in discussions of the problems and the solutions which were proposed by Kant. The methodological legacy of the critical philosophy effectively became the main benchmark of the thinking of a whole generation of intellectuals. (...) Research into the unity of “form” in the structure of human cognition was also in many ways mediated by the Kantian tradition. To prove this thesis I first look at the philosophy of Gustav Shpet who creatively interpreted the German tradition and proposed an original project of his own, and then I examine the theory of Ernst Cassirer, an outstanding representative of Neo-Kantianism who in the later period of his work proposed considering the phenomena of the humanities to be symbolic forms closest to the spontaneity of the biological. The common feature of the approaches of the two philosophers is their attempt to preserve the integrity of cognition which is destroyed by mathematisation of the common denominator (ultimate categorisation) and hierarchisation of the phenomena of human life. The alternative is the metaphor of mutational change, through which the concept of “form” acquires a new meaning. In conclusion I show that the analysis of the projects of Shpet and Cassirer has heuristic value for the historical-philosophical understanding of the fate of the Kantian philosophy and for modern philosophical culture. (shrink)

The keynote idea of the theses is contained in the author’s assumption that modern philosophy doesn’t meet its claiming pretensions: to be universal form of knowledge. First of all philosophy is connected not with knowledge but with ideas and secondly being authentic it “exists only in everyday life”.1 In orderthat philosophy could realize its innate essence corresponding conditions of social being should exist but they are still absent and therefore philosophy is absent as well. Its place is occupied by metaphysics (...) which is free movement of thinking that has no definiteness as the condition of being of any form of thought. That iswhy we watch crisis state of “philosophy” which becomes apparent in vagueness of its subject: “philosophy is not only one, there are many of them”. The author supposes that philosophy as the highest relation of mankind to objective reality is the only one. Philosophy lowered down from the heaven (Platon, Ciceron) in the field of human being must raise people not only to purity of thought, but mainly to purity of their activity both with each other and with nature. Then real interaction of men and nature will take place. This will be the beginning of spiritualization of the Universe. It may exist only under the conditions of social uniformity as historical form of Weltanschauung (world outlook) that removes religious form. Realization of its being supposes fundamental change of social life. It is necessary that private property should be replaced with social property in the sphere of social production. Only under these conditions philosophy may appear and exist as historical form of Weltanschauung. (shrink)

Thomas Mann’s famous novella “Death in Venice” is more than social critics or metaphor of artistic search for means. Its ambiguous poetry of forbidden longing offers a game we play ever since, a drama of strange, dreamlike romance unfolding itself in a highly troublesome atmosphere of ordinary life succumbing to the oncoming devastation and catastrophe of the outer world that inexplicably links with the wishes of a soul. This plot became a focus of ideas, a web of meanings covering more (...) and more areas of mentality and imagination while living on. One of the latter writers rarely compared to Mann, a popular American author Stephen King, master of macabre fantasy, suddenly shows some extraordinary level of coincidence of his works’ throughout motives/invariants with those of the European classic. The answers both of them are chasing after lie in the mysterious character of the Whole of the world denying any isolate and solid sense, medium lands of affection and connection, Gordian knots of disastrous dialectics interweaving will and passivity, creation and destruction. Why dark fantasy (that King embodies) constantly insists on destroying, erasing the entire world for the sake of some bittersweet heroic pathos upon its ruin, as before Mann unleashes the epidemics to his story’s bourgeois backgrounds to celebrate the phantom love of his characters? Why does Beauty transgress the borders of subjectivity very much like Death does the borders of physicality, and they both lead us to the same revelation of some great apophatic quasi-Platonian chora at the core of our being where everything is born and we are all one? (shrink)

This is a translation from Russian to English of Nikolai Onufriyevich Lossky’s “Tpaнcцeндeнтaльнo-фeнoмeнoлoгичecкiй идeaлизмъ Гyccepля”, published in the émigré journal Пyть in 1939. In this article, Lossky presents and criticizes Husserl’s transcendental idealism. Like many successors of Husserl’s “Göttingen School,” Lossky interprets Husserl’s transcendental idealism as a Neo-Kantian idealism and he criticizes it on the ground that it leads to a form of solipsism. In light of his own epistemology and his metaphysical system, he also claims that, although Husserl (...) is more radical than Descartes in his methodological doubt, he is not radical enough, because his abstention from existential judgment with regard to the external world is itself an existential judgment. In this regard, Lossky affirms that his own critically-informed defense of naive realism is in fact more radical than Husserl’s transcendental idealism. (shrink)

This is a translation from the Russian of Nikolai Lossky’s review of Henri Bergson, Les deux sources de la morale et de la religion (1932). The review was published in the Parisian émigré journal Новый Град (Cité nouvelle) in 1932. In this review, Lossky criticizes Bergson for leaving some key problems of the philosophy of religion unresolved, namely that of God’s relation to the world (theism vs. pantheism), that of immortality, as well as that of evil. He also criticizes (...) Bergson’s “extreme biologism” in his explanation of morality, which, in his view, subjectivizes the objects of religion. For Lossky, the symbolic images of the Christian religion are not subjective “fabulations,” but real symbols through which God reveals himself to us. Likewise, according to Lossky, true morality cannot be explained in terms of biological adaptation, but must rely on the foundation of an objective, i.e., Platonic, axiological sphere. (Frédéric Tremblay). (shrink)

Despite its short historical moment in the sun, behaviorism has become something akin to a theoria non grata, a position that dare not be explicitly endorsed. The reasons for this are complex, of course, and they include sociological factors which we cannot consider here, but to put it briefly: many have doubted the ambition to establish law-like relationships between mental states and behavior that dispense with any sort of mentalistic or intentional idiom, judging that explanations of intelligent behavior require reference (...) to qualia and/or mental events. Today, when behaviorism is discussed at all, it is usually in a negative manner, either as an attempt to discredit an opponent’s view via a reductio, or by enabling a position to distinguish its identity and positive claims by reference to what it is (allegedly) not. In this paper, however, we argue that the ghost of behaviorism is present in influential, contemporary work in the field of embodied and enactive cognition, and even in aspects of the phenomenological tradition that these theorists draw on. Rather than take this to be a problem for these views as some have, we argue that once the behaviorist dimensions are clarified and distinguished from the straw-man version of the view, it is in fact an asset, one which will help with task of setting forth a scientifically reputable version of enactivism and/or philosophical behaviorism that is nonetheless not brain-centric but behavior-centric. While this is a bit like “the enemy of my enemy is my friend” strategy, as Shaun Gallagher notes (2019), with the shared enemy of behaviorism and enactivism being classical Cartesian views and/or orthodox cognitivism in its various guises, the task of this paper is to render this alliance philosophically plausible. Doi: 10.1007/s11229-019-02432-1. (shrink)

The article investigates the peculiarities of Durer's aesthetic views in the context of Renaissance philosophy and the theory of cognition of Modern times. Its provisions are compared with fragments of texts by L.-B. Alberti, Leonardo da Vinci, Raphael. The semantic interrelationships of Durer's positions with mysticism, pantheism, natural philosophy and empiricism of Modern Times are emphasized. The interrelation of the problem of knowledge with the theme of freedom and beauty is considered in detail. The authors analyze various opinions and ways (...) of comprehending the beautiful, presented in the philosophical constructions of Durer, his concept of "rational knowledge", "scientific ignorance". Special attention is paid to the boundaries of freedom in Durer's representation. The novelty of the research lies in the fact that the presented concept of the evolution of A. Durer's aesthetic views helps to comprehend those contradictory trends that existed in the Renaissance itself. Thus, Durer believed that freedom conditioned by knowledge ends where attempts to transcend nature begin. A necessary condition for freedom is the understanding that the beautiful is relative. From the understanding of the relativity of the beautiful, from the concrete utopian program of its achievement, an imperative grows, meaning denial, the completion of the aesthetics of Rebirth. According to him, the artist should not limit himself to one type, but should be knowledgeable in various ways of depicting all kinds of types. In order to make such an image as is required of him. Thus, the professionalism of the artist, his experience, knowledge, recognition of the power of knowledge and, at the same time, understanding of its relativity – all this, as an achievement of the Renaissance theory of art, loses its meaning. All this is sacrificed to the tastes of employers. (shrink)

The article presents the author’s reflection on the topic of scientific communication and forms of presentation of scientific results in the form of journal publications. As a starting point for reflection served the meeting that took place on March 28, 2019 held by the editor-in-chief of the Russian Journal of Philosophical Sciences Khachatur Marinosyan with new researchers. The event was mainly devoted to the structure of the representation of modern knowledge, a crucial role in which is continued to be played (...) by a scientific journal that should be considered as a special phenomenon of intellectual culture. The operation of a journal is considered from the communicative perspective. In addition to the main topics of scientific communication, during the meeting some relevant to the institutional functioning of knowledge topics were also discussed: ageism, interdisciplinarity, transmedia, formalization of knowledge, international unification and formal indexation of journals. The meeting, which format was unusual for contemporary Russian science, aroused the interest of the professional community. The relevance and just-in-time character of the “dialogical” approach to the functioning of science was evidenced by the participants. The Social Philosophy Department of the Institute of Philosophy of Russian Academy of Sciences hosted the meeting, which was attended by the beginning scientists from Lomonosov Moscow State University, National Research University Higher School of Economics, Institute of Philosophy of the Russian Academy of Sciences and independent researchers who do not have an institutional position in academic institutions but are engaged in research activities. The most important conclusion of the meeting is that there are the possibility and necessity of thematic updating of humanitarian and, in particular, philosophical knowledge by the work of beginning but promising authors, and editorial boards should be ready to that if they want to maintain journal’s leading status and keep up with the times. (shrink)

The Lagrangian and Hamiltonian properties of classical electrodynamics models and their associated Dirac quantizations are studied. Using the vacuum field theory approach developed in (Prykarpatsky et al. Theor. Math. Phys. 160(2): 1079–1095, 2009 and The field structure of a vacuum, Maxwell equations and relativity theory aspects. Preprint ICTP) consistent canonical Hamiltonian reformulations of some alternative classical electrodynamics models are devised, and these formulations include the Lorentz condition in a natural way. The Dirac quantization procedure corresponding to the Hamiltonian formulations is (...) developed. The crucial importance of the rest reference systems, with respect to which the dynamics of charged point particles is framed, is explained and emphasized. A concise expression for the Lorentz force is derived by suitably taking into account the duality of electromagnetic field and charged particle interactions. Finally, a physical explanation of the vacuum field medium and its relativistic properties fitting the mathematical framework developed is formulated and discussed. (shrink)

The following result is an approximation to the answer of the question of Kokorin about decidability of a quantifier-free theory of field of rational numbers. Let Q0 be a subset of the set of all rational numbers which contains integers 1 and −1. Let be a set containing Q0 and closed by the functions of addition, subtraction and multiplication. For example coincides with Q0 if Q0 is the set of all binary rational numbers or the set of all decimal rational (...) numbers. It is clear that , where Z is the set of all integers and Q is the set of all rational numbers. A negationless theory uses only conjunction and disjunction as logical connectives. Let T be a quantifier-free negationless elementary theory of signature , where Pol is the list of all polynomials with rational coefficients from Q0 in which exponent of the polynomials and rational coefficients are written in binary number system. Theorem 1. Theory T is NP-hard and if is everywhere dense then the theory T is decidable by an algorithm which belongs to EXPTIME. The set of all rational numbers or the set of all binary rational numbers may be taken instead of . The quantifier-free negationless theory of the field of rational numbers may be regarded as a base of constructive mathematics. (shrink)