Vedānta is one of the oldest philosophical systems. While there are many detailed commentaries on Vedānta, there are very few mathematical descriptions of the different concepts developed there. This article shows how ideas from theoretical computer science can be used to explain Vedānta. The standard ideas of transition systems and modal logic are used to develop a formal description for the different ideas in Vedānta. The generality of the formalism is illustrated via a number of examples including saṃsāra, Patañjali’s Yogasūtras, (...) karma, the three avasthās from the Māṇḍūkya Upaniṣad and the key difference between advaita and dvaita in relation to mokṣa. (shrink)

'This book is a masterpiece of theoretical thought. It anticipates the actual achievements of much of what we now call sociolinguistics.

Things and Their Place in Theories Our talk of external things, our very notion of things, is just a conceptual apparatus that helps us to foresee and ...

In this paper we show how defeasible logic could formally account for the non-monotonic properties involved in motivational attitudes like intention and obligation. Usually, normal modal operators are used to represent such attitudes wherein classical logical consequence and the rule of necessitation comes into play, i.e., ⊢A/⊢ □A, that is from ⊢A derive ⊢ □A. This means that such formalisms are affected by the Logical Omniscience problem. We show that policy-based intentions exhibit non-monotonic behaviour which could be captured through a (...) non-monotonic system like defeasible logic. To this end we outline a defeasible logic of intention that specifies how modalities can be introduced and manipulated in a non-monotonic setting without giving rise to the problem of logical omniscience. In a similar way we show how to add deontic modalities defeasibly and how to integrate them with other motivational attitudes like beliefs and goals. Finally we show that the basic aspect of the BOID architecture is captured by this extended framework. (shrink)

Agrobiodiversity is an evident outcome of a long-lasting human–nature relationship, as the continuous use, conservation and management of crops has resulted in biological as well as cultural diversity of seeds and breeds. This paper aims to understand the interlocking of formal and informal seed supply routes by considering the dynamic flow of seeds within networks across the intersections of gender, ethnicity and age in South India as social categories structuring human–nature relations. This changing relationship under formal and informal institutional settings (...) has consequences on performance for men and women in rice seed systems. Undertaking an empirical analysis of the organization of seed management and exchange, we seek to shed light on the gendered organization of agrobiodiversity as a social network. The study builds on Net-Map interviews conducted in 2012, embedded in the larger BioDIVA project in the district of Wayanad in Kerala, India. Based on network analysis, the interactive method employed has enabled identification of important actors in the seed system and the characteristics of their relationships. We look into the gendered structure of information exchange regarding seed varieties and actual seed transactions, while also examining clusters of actors collaborating regarding seed supply. Finally, we identify the institutional gap concerning seed sources left by formal and informal institutions, like the availability of varieties. We show how informal and formal seed systems coexist and overlap due to actors moving between systems and argue that the degree and areas of overlap are shaped by gendered human–nature relations. (shrink)

German philosopher G. W. F. Hegel problematized the term “aesthetics” in his writings on art. This article attempts to capture the tension between Hegel's theory of art and philosophy of art and its impact on the subsequent theorization of art in the twentieth century as consumer or emancipatory. Music, poetry and plastic arts seem to resonate differently with philosophers such as Plato, Aristotle, Kant, Hegel and Adorno. Plato considered music soothing to the soul. In Aristotle, one could trace the oblique (...) beginnings of the tension between a theory of art and a philosophy of art as he questioned the role of art in philosophy. While Kant's approach is more formal and deals with concepts such as beauty, sublime, genius, and the status of aesthetic objects, Hegel grapples with the rational and emotional aspects of works of art which determine whether art is free or under the thralldom of nature. Both Kant and Hegel distinguished artistic from natural beauty. Critical theorists such as Adorno were also influenced by Hegel. Adorno's analysis of concepts such as mimesis forms an important part of his critique of culture industry. Adorno was also emphatic that classical art could only exist as a product of an epoch. Yet in its dialectical form, art serves as a critique of ideology. Progressively, from the nineteenth to the twentieth century, what began as a crevice between a philosophy of art and a theory of art became a chasm. Thus, begins a contentious relationship between art as a pursuit in itself and art for consumption, that is, art as an integral aspect of consumer culture. The new phenomenon of AI art also poses interesting questions about the paradigmatic shift in dynamics between human element and technology. This article would also attempt to trace how art continues to defy reification, while in the process being consumed constantly, recreating and reinventing itself. (shrink)

The action for a massive particle in special relativity can be expressed as the invariant proper length between the end points. In principle, one should be able to construct the quantum theory for such a system by the path integral approach using this action. On the other hand, it is well known that the dynamics of a free, relativistic, spinless massive particle is best described by a scalar field which is equivalent to an infinite number of harmonic oscillators. We clarify (...) the connection between these two—apparently dissimilar—approaches by obtaining the Green function for the system of oscillators from that of the relativistic particle. This is achieved through defining the path integral for a relativistic particle rigorously by two separate approaches. This analysis also shows a connection between square root Lagrangians and the system of harmonic oscillators which is likely to be of value in more general context. (shrink)

The (Feynman) propagator G(x2,x1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$G(x_2,x_1)$$\end{document} encodes the entire dynamics of a massive, free scalar field propagating in an arbitrary curved spacetime. The usual procedures for computing the propagator—either as a time ordered correlator or from a partition function defined through a path integral—requires introduction of a field ϕ(x)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\phi (x)$$\end{document} and its action functional A[ϕ(x)]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$A[\phi (x)]$$\end{document}. (...) An alternative, more geometrical, procedure is to define a propagator in terms of the world-line path integral which only uses curves, xi(s)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$x^i(s)$$\end{document}, defined on the manifold. I show how the world-line path integral can be reinterpreted as an ordinary integral by introducing the concept of effective number of quantum paths of a given length. Several manipulations of the world-line path integral becomes algebraically tractable in this approach. In particular I derive an explicit expression for the propagator GQG(x2,x1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$G_\mathrm{QG}(x_2,x_1)$$\end{document}, which incorporates the quantum structure of spacetime through a zero-point-length, in terms of the standard propagator Gstd(x2,x1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$G_\mathrm{std}(x_2,x_1)$$\end{document}, in an arbitrary curved spacetime. This approach also helps to clarify the interplay between the path integral amplitude and the path integral measure in determining the form of the propagator. This is illustrated with several explicit examples. (shrink)

t. 1. Filosofii︠a︡ ; Izbrannye predislovii︠a︡ ; I︠A︡zykoznanie -- t. 2. Filologii︠a︡ ; Vospominanii︠a︡ i nabli︠u︡denii︠a︡ ; Pami︠a︡ti uchiteleĭ i kolleg ; Prilozhenie : A.N. Kolmogorov, semioticheskie poslanii︠a︡.

The purpose of the article is the analysis of the causes of the systemic crisis that hit modern civilization through the description of its main structures, identifying the relationship between its elements, assessments of their heuristic potential. This will open up opportunities for finding ways to resolve this crisis, new directions of civilizational development. Theoretical basis of the research are the systems analysis, socio-philosophical and philosophical-anthropological approaches as well as the analysis of scientific developments in the field of global studies. (...) Originality lies in the fact that this article is the first to show the connection between the main structural elements of human civilization as a system. Change in one of the parameters leads to a change in all the others, together with a change in civilization as a whole. Conclusions. The reason for the deep crisis that hit modern civilization is its imbalance as a system. The most important elements of this system are population size, resources and technology, and the core is consciousness in its individual and collective forms. The perception, processing, and use of information, which is a defining civilizational resource, as well as the stability of the entire system depend on the state of consciousness. Consciousness, based on old, obsolete principles and stereotypes, is unable to cope with the most acute challenges of time. New consciousness, since it is formed, will mark the transition to a new theoretical picture of the world and a model of human behavior, in which people will act, driven by proven knowledge, and not willfulness and prejudice. The idea of forming a productive information environment where the ideas of constructiveness and creative work will dominate rather than consumerism and destruction, as is the case at present, must become the categorical imperative of the new consciousness. (shrink)

This book examines the idea of cosmopolitanism, its reconceptualisations and critiques. It explores the specific institutional and philosophical challenges in constructing a cosmopolitan political community and critically engages with assumptions about the nature and direction of global politics. The volume presents a post-colonial critique of 'Western' cosmopolitanism and suggests alternative frameworks.

Russkai︠a︡ t︠erkovʹ i drugie statʹi -- V temnykh religioznykh luchakh.

Purpose. The article suggested for consideration is aimed at clarifying the shift in human perception from the spatial turn announced by Michel Foucault, to a performative turn. The performative turn has an anthropological footing. It is based on the all-round investigation of the body’s principal role for cultural existence, as a result of a reverse reaction to artificial conceptual gap between space and body, which basically means ignoring the embodiment theme. An example of such theoretical deformation was Edmund Husserl’s “anthropology (...) phobia” revealed and thoroughly analysed by Hans Blumenberg in his critical works. Originality of the approach applied in this research, first and foremost, demonstrates not an abstract phenomenological conception as a theoretical construct, but a phenomenological activity itself, as well as practical work expressing antepredicative experience and solving the problems arising in this complicated process. Applying the Blumenberg’s analysis also allows to peep in the sideline notes of Edmund Husserl himself, which, for their part, acquire special meaning in relation to such a practical turn. Conclusions show the following state of affairs demonstrated by the anthropological and performative shift towards the body theme: 1) absolutisation of space without mentioning its relation to body experience is unreasonable and groundless, like in Husserl’s “anthropology phobia ”; 2) since the ground itself is a metaphorical anthropology basis, anthropology can reveal the structural conditions of perception due to thematic fronting of embodiment; 3) this gives anthropology some compensational features, to avoid false culture and nature dualism; 4) so, the space and body relationship is expressed by the Vehikel-phenomenon of the body itself, by placing, arranging and depicting, and thus replacing something missing and unavailable for direct contemplation, by revealing the spatial infrastructure for object perception, creating the presence conditions and metaphorically marking the contemplation boundary; 5) the depicting arrangement is at the same time a bodily performance, a play, staging and performing, which gives an aesthetic, poetic and emphatic impact on the use of philosophy language, in our case, on the way a phenomenology philosopher works with the language. (shrink)

Purpose. The article suggested for consideration is aimed at clarifying the shift in human perception from the spatial turn announced by Michel Foucault, to a performative turn. The performative turn has an anthropological footing. It is based on the all-round investigation of the body’s principal role for cultural existence, as a result of a reverse reaction to artificial conceptual gap between space and body, which basically means ignoring the embodiment theme. An example of such theoretical deformation was Edmund Husserl’s “anthropology (...) phobia” revealed and thoroughly analysed by Hans Blumenberg in his critical works. Originality of the approach applied in this research, first and foremost, demonstrates not an abstract phenomenological conception as a theoretical construct, but a phenomenological activity itself, as well as practical work expressing antepredicative experience and solving the problems arising in this complicated process. Applying the Blumenberg’s analysis also allows to peep in the sideline notes of Edmund Husserl himself, which, for their part, acquire special meaning in relation to such a practical turn. Conclusions show the following state of affairs demonstrated by the anthropological and performative shift towards the body theme: 1) absolutisation of space without mentioning its relation to body experience is unreasonable and groundless, like in Husserl’s “anthropology phobia ”; 2) since the ground itself is a metaphorical anthropology basis, anthropology can reveal the structural conditions of perception due to thematic fronting of embodiment; 3) this gives anthropology some compensational features, to avoid false culture and nature dualism; 4) so, the space and body relationship is expressed by the Vehikel-phenomenon of the body itself, by placing, arranging and depicting, and thus replacing something missing and unavailable for direct contemplation, by revealing the spatial infrastructure for object perception, creating the presence conditions and metaphorically marking the contemplation boundary; 5) the depicting arrangement is at the same time a bodily performance, a play, staging and performing, which gives an aesthetic, poetic and emphatic impact on the use of philosophy language, in our case, on the way a phenomenology philosopher works with the language. (shrink)

Introduction -- A university lecture -- Violence and God's nature -- What Is Europe? -- Modernity and the three waves of dehellenization -- Revelation and culture -- Conclusion.