This paper critically interrogates the usefulness of the concept of violence regimes for social politics, social analysis, and social theory. In the first case, violence regimes address and inform politics and policy, that is, social politics, both around various forms of violence, such as gender-based violence, violence against women, anti-lesbian, gay and transgender violence, intimate partner violence, and more widely in terms of social and related policies and practices on violence and anti-violence. In the second case, violence regimes assist social (...) analysis of the interconnections of different forms and aspects of violence, and relative autonomy from welfare regimes and gender regimes. Third, the violence regime concept engages a wider range of issues in social theory, including the exclusion of the knowledges of the violated, most obviously, but not only, when the voices and experiences of those killed are unheard. The concept directs attention to assumptions made in social theory as incorporating or neglecting violence. More specifically, it highlights the significance of: social effects beyond agency; autotelic ontology, that is, violence as a means and end in itself, and an inequality in itself; the relations of violence, sociality and social relations; violence and power, and the contested boundary between them; and materiality-discursivity in violence and what is to count as violence. These are key issues for both violence studies and social theory more generally. (shrink)

We investigate the connections between computability theory and Nonstandard Analysis. In particular, we investigate the two following topics and show that they are intimately related. A basic property of Cantor space$2^ $ is Heine–Borel compactness: for any open covering of $2^ $, there is a finite subcovering. A natural question is: How hard is it to compute such a finite subcovering? We make this precise by analysing the complexity of so-called fan functionals that given any $G:2^ \to $, output a (...) finite sequence $\langle f_0, \ldots,f_n \rangle $ in $2^ $ such that the neighbourhoods defined from $\overline {f_i } G\left$ for $i \le n$ form a covering of $2^ $. A basic property of Cantor space in Nonstandard Analysis is Abraham Robinson’s nonstandard compactness, i.e., that every binary sequence is “infinitely close” to a standard binary sequence. We analyse the strength of this nonstandard compactness property of Cantor space, compared to the other axioms of Nonstandard Analysis and usual mathematics.Our study of yields exotic objects in computability theory, while leads to surprising results in Reverse Mathematics. We stress that and are highly intertwined, i.e., our study is holistic in nature in that results in computability theory yield results in Nonstandard Analysis and vice versa. (shrink)

This volume examines the notion of an analytic proof as a natural deduction, suggesting that the proof's value may be understood as its normal form--a concept with significant implications to proof-theoretic semantics.

There are two main routes to a concept of (generalized) quantifier. The first starts from first‐order logic, FO, and generalizes from the familiar ∀ and ∃ occurring there. The second route begins with real languages, and notes that many so‐called noun phrases, a kind of phrase which occurs abundantly in most languages, can be interpreted in a natural and uniform way using quantifiers.

We study the logical and computational properties of basic theorems of uncountable mathematics, in particular Pincherle's theorem, published in 1882. This theorem states that a locally bounded function is bounded on certain domains, i.e. one of the first ‘local-to-global’ principles. It is well-known that such principles in analysis are intimately connected to (open-cover) compactness, but we nonetheless exhibit fundamental differences between compactness and Pincherle's theorem. For instance, the main question of Reverse Mathematics, namely which set existence axioms are necessary to (...) prove Pincherle's theorem, does not have an unique or unambiguous answer, in contrast to compactness. We establish similar differences for the computational properties of compactness and Pincherle's theorem. We establish the same differences for other local-to-global principles, even going back to Weierstrass. We also greatly sharpen the known computational power of compactness, for the most shared with Pincherle's theorem however. Finally, countable choice plays an important role in the previous, we therefore study this axiom together with the intimately related Lindelöf lemma. (shrink)

We study the logical and computational properties of basic theorems of uncountable mathematics, including the Cousin and Lindelöf lemma published in 1895 and 1903. Historically, these lemmas were among the first formulations of open-cover compactness and the Lindelöf property, respectively. These notions are of great conceptual importance: the former is commonly viewed as a way of treating uncountable sets like e.g. [Formula: see text] as “almost finite”, while the latter allows one to treat uncountable sets like e.g. [Formula: see text] (...) as “almost countable”. This reduction of the uncountable to the finite/countable turns out to have a considerable logical and computational cost: we show that the aforementioned lemmas, and many related theorems, are extremely hard to prove, while the associated sub-covers are extremely hard to compute. Indeed, in terms of the standard scale (based on comprehension axioms), a proof of these lemmas requires at least the full extent of second-order arithmetic, a system originating from Hilbert–Bernays’ Grundlagen der Mathematik. This observation has far-reaching implications for the Grundlagen’s spiritual successor, the program of Reverse Mathematics, and the associated Gödel hierarchy. We also show that the Cousin lemma is essential for the development of the gauge integral, a generalization of the Lebesgue and improper Riemann integrals that also uniquely provides a direct formalization of Feynman’s path integral. (shrink)

In the analysis of the ethicalproblems of online research, there is much tobe learned from the work that has already beendone on research ethics in the socialsciences and the humanities. I discuss thestructure of norms in the Norwegian ethicalguidelines for research in the social scienceswith respect to their relevance for the ethicalissues of Internet research. A four-stepprocedure for the ethical evaluation ofresearch is suggested. I argue that eventhough, at one level, the problems of onlineresearch are very similar to those we (...) find intraditional areas of social scientificresearch, there still are some issues that areunique to research online. A general model forthe analysis of privacy and data protection issuggested. This model is then used tocharacterize the special problems pertaining tothe protection of privacy in online contexts,and to argue that one cannot assume a simpledistinction between the private and the publicwhen researching in such contexts. (shrink)

Reviewed Works:Gaisi Takeuti, Proof Theory.Georg Kreisel, Proof Theory: Some Personal Recollections.Wolfram Pohlers, Contributions of the Schutte School in Munich to Proof Theory.Stephen G. Simpson, Subsystems of $\mathbf{Z}_2$ and Reverse Mathematics.Solomon Feferman, Proof Theory: A Personal Report.

A semantics may be compositional and yet partial, in the sense that not all well-formed expressions are assigned meanings by it. Examples come from both natural and formal languages. When can such a semantics be extended to a total one, preserving compositionality? This sort of extension problem was formulated by Hodges, and solved there in a particular case, in which the total extension respects a precise version of the fregean dictum that the meaning of an expression is the contribution it (...) makes to the meanings of complex phrases of which it is a part. Hodges' result presupposes the so-called Husserl property, which says roughly that synonymous expressions must have the same category. Here I solve a different version of the compositional extension problem, corresponding to another type of linguistic situation in which we only have a partial semantics, and without assuming the Husserl property. I also briefly compare Hodges' framework for grammars in terms of partial algebras with more familiar ones, going back to Montague, which use many-sorted algebras instead. (shrink)

We may try to explain proofs as chains of valid inference, but the concept of validity needed in such an explanation cannot be the traditional one. For an inference to be legitimate in a proof it must have sufficient epistemic power, so that the proof really justifies its final conclusion. However, the epistemic concepts used to account for this power are in their turn usually explained in terms of the concept of proof. To get out of this circle we may (...) consider an idea within intuitionism about what it is to justify the assertion of a proposition. It depends on Heyting’s view of the meaning of a proposition, but does not presuppose the concept of inference or of proof as chains of inferences. I discuss this idea and what is required in order to use it for an adequate notion of valid inference. (shrink)

According to a main idea of Gentzen the meanings of the logical constants are reflected by the introduction rules in his system of natural deduction. This idea is here understood as saying roughly that a closed argument ending with an introduction is valid provided that its immediate subarguments are valid and that other closed arguments are justified to the extent that they can be brought to introduction form. One main part of the paper is devoted to the exact development of (...) this notion. Another main part of the paper is concerned with a modification of this notion as it occurs in Michael Dummett’s book The Logical Basis of Metaphysics. The two notions are compared and there is a discussion of how they fare as a foundation for a theory of meaning. It is noted that Dummett’s notion has a simpler structure, but it is argued that it is less appropriate for the foundation of a theory of meaning, because the possession of a valid argument for a sentence in Dummett’s sense is not enough to be warranted to assert the sentence. (shrink)

Ibn al-'Arabī (d. 1240) was one of the towering figures of Islamic intellectual history, and among Sufis still bears the title of al-shaykh al-akbar, or "the greatest master." Ibn al-'Arabī and Islamic Intellectual Culturetraces the history of the concept of "oneness of being" (wahdat al-wujūd) in the school of Ibn al- 'Arabī, in order to explore the relationship between mysticism and philosophy in Islamic intellectual life. It examines how the conceptual language used by early mystical writers became increasingly engaged over (...) time with the broader Islamic intellectual culture, eventually becoming integrated with the latter's common philosophical and theological vocabulary. It focuses on four successive generations of thinkers (Sadr al-Dīn al-Qūnawī, Mu'ayyad al-Dīn al-Jandī, 'Abd al-Razzāq al-Kāshānī, and Dāwūd al-Qaysarī), and examines how these "philosopher-mystics" refined and developed the ideas of Ibn al-'Arabī. Through a close analysis of texts, the book clearly traces the crystallization of an influential school of thought in Islamic history and its place in the broader intellectual culture. Offering an exploration of the development of Sufi expression and thought, this book will be a valuable resource for students and scholars of Islamic thought, philosophy, and mysticism. (shrink)

Ethics in business and economics is often attacked for being too superficial. By elaborating the conclusions of two such critics of business ethics and welfare economics respectively, this article will draw the attention to the ethics behind these apparently well-intended, but not always convincing constructions, by help of the fundamental ethics of Emmanuel Levinas. To Levinas, responsibility is more basic than language, and thus also more basic than all social constructions. Co-operation relations in organizations, markets and value networks are generated (...) from personal relations and personal responsibilities. It is not sufficient to integrate ethics in an impersonal, rational system, neither in business organizations nor in the world economy. Ethics has its source not in rationality, but in the personal. (shrink)

Levinas did not present any new ethical theories; he did not even give any normative recommendations. But his phenomenological investigations help us to understand how the idea of ethics emerges and how we try to cope with it. The purpose of this paper is to suggest some implications from a reading of Levinas on how ethical challenges are handled within a management perspective. The paper claims that management, both in theory and in practice, is necessarily egocentric and thus ethically biased. (...) Therefore, ethics, defined as the idea that it is possible to do otherwise than pursue one's own interest, must have its source outside the scope of management. Levinas identifies this source as the call for responsibility from the Other, beyond the reach of managerial control. He also suggests how this idea of ethics is put into practice, especially in economic life: the existence of money makes it both possible and necessary to compare unique and incomparable others. Management tools may be used in the service of always more justice, as it also may be used for the opposite purpose. Instead of trying to draw a normative conclusion from Levinas, we may distinguish between two ways of experiencing reality: one through language and knowledge, covering both descriptive and normative knowledge, including business ethics, and the other through the particular events of encounters, from where this knowledge is continuously questioned through the call for responsibility, and thereby may provide possibilities for continuous improvements towards always more justice. (shrink)

Levinas did not present any new ethical theories; he did not even give any normative recommendations. But his phenomenological investigations help us to understand how the idea of ethics emerges and how we try to cope with it. The purpose of this paper is to suggest some implications from a reading of Levinas on how ethical challenges are handled within a management perspective. The paper claims that management, both in theory and in practice, is necessarily egocentric and thus ethically biased. (...) Therefore, ethics, defined as the idea that it is possible to do otherwise than pursue one's own interest, must have its source outside the scope of management. Levinas identifies this source as the call for responsibility from the Other, beyond the reach of managerial control. He also suggests how this idea of ethics is put into practice, especially in economic life: the existence of money makes it both possible and necessary to compare unique and incomparable others. Management tools may be used in the service of always more justice, as it also may be used for the opposite purpose. Instead of trying to draw a normative conclusion from Levinas, we may distinguish between two ways of experiencing reality: one through language and knowledge, covering both descriptive and normative knowledge, including ‘business ethics’, and the other through the particular events of encounters, from where this knowledge is continuously questioned through the call for responsibility, and thereby may provide possibilities for continuous improvements towards always more justice. (shrink)

This article explains and discusses the relationship between traditional legislative processes and the development of automated government decision-making systems. The juridical aspects of systems development should be regarded as invisible quasi-legislation. The author investigates and discusses possible ways of changing the legislative process with a view to increasing and improving political involvement in processes today often regarded as mere implementation, and thereby safeguard that important parts of the law of our computerised society is situated in the public domain.

The traditional picture of logic takes it for granted that "valid arguments have a fundamental epistemic significance", but neither model theory nor traditional proof theory dealing with formal system has been able to give an account of this significance. Since valid arguments as usually understood do not in general have any epistemic significance, the problem is to explain how and why we can nevertheless use them sometimes to acquire knowledge. It is suggested that we should distinguish between arguments and acts (...) of inferences and that we have to reconsider the latter notion to arrive at the desired explanation. More precisely, the notions should be developed so that the following relationship holds: one gets in possession of a ground for a conclusion by inferring it from premisses for which one already has grounds, provided that the inference in question is valid. The paper proposes explications of the concepts of ground and deductively valid inference so that this relationship holds as a conceptual truth. Logical validity of inference is seen as a special case of deductive validity, but does not add anything as far as epistemic significance is concerned—it resides already in the deductively valid inferences. (shrink)

This paper focuses on how revolts against caste-based oppression in India have been made invisible due to conceptual legacies in European social and political theory. Weber’s and Arendt’s conceptualization of Pariah agency is a case in point. Arendt’s main understanding of Pariah agency is individualized and inadequate to study freedom struggles among untouchable castes. This article argues that one not only needs to move away from analyzing individual to collective action, but it is also crucial to foreground how collective mobilization (...) among excluded groups has focused on contingencies that embed a system of domination. Dr. Bhimrao Ambedkar’s critique of caste-based domination in India is noteworthy in this regard; he foregrounds how the distinction between “Touchables” and “Untouchables” in the caste system is both embedded and contingent. Focusing on untouchability in India, Ambedkar offers insights into hegemonic analyses of social exclusion, human rights articulations before the Universal Declaratio... (shrink)

In the 12th century the "Book of the Soul" by the philosopher Avicenna was translated from Arabic into Latin. It had an immense success among scholastic writers and deeply influenced the structure and content of many psychological works of the Middle Ages. The reception of Avicenna's book is the story of cultural contact at an imipressively high intellectural level. The present volume investigates this successful reception using two approaches. The first is chronological, tracing the stages by which Avicenna's work was (...) accepted and adapted by Latin scholars. The second is doctrinal, analyzing the fortunes of key doctrines. The sense of the original Arabic text of Avicenna is kept in mind throughout and the degree to which his original Latin interpreters succeeded in conveying it is evaluated. (shrink)

La philosophie de Jean-Paul Sartre dans L'être et le néant et Critique de la raison dialectique garde toujours sa validité comme élucidation de notre liberté située. Néanmoins, il faut la critiquer – au double sens de limiter et corriger – sur deux thèmes : 1) l'interprétation sartrienne de la matière et de la science de la physique ressemble à celle des positivistes logiques , dont on sait la faiblesse ; 2) les relations sociales analysées par Sartre non seulement avec profondeur, (...) mais aussi avec brillance, mettent à coté ou ignorent une socialité plus fondamentale et anonyme, dont il faut aussi rendre compte. Les contributions néo-kantiennes de l'École de Marbourg, en particulier celles de Ernst Cassirer, peuvent suppléer ou rectifier la philosophie sartrienne, en en faisant un situationnisme critique. (shrink)

As in classical Latin philosophical and theological texts, Spinoza did not make any semantic distinction between the concepts of conscientia and conscius, and used one interchangeably. But the concept of conscientia is used as an “inner voice” or “conscience” meaning “moral sensitivity” or “moral awareness” and expresses both rational and irrational processes in traditioanl philosophy. On the other hand, the concept of conscius is used in the sense of “consciousness” and expresses a mental or psychological reflexive activity based on rational (...) processes in the same tradition. Based on Spinoza's use of the two concepts in the same sense, this study claims that “moral sensitivity” is formed as a result of reflexive thinking, which is a mental action. Where consciousness is understood as a reflexive activity based on the relationship between ideas, it is argued that “moral awareness” occurs in the mind as an idea formed as a result of the relationship between ideas. In the study, it is determined that Spinoza developed a kind of “moral consciousness” theory based on the awareness in question, rather than a “conscience theory”. The main focus of the study is that the idea of “good” and “evil”, which are the basic concepts in Spinoza’s ethics, arise from the idea of “joy” and “sadness” that occur as emotions in the mind. Here, “joy” or “sadness” is considered as the primary ideas that occur in the mind as a result of the affection of the body, and “good” or “bad” as secondary ideas formed by the mind as a result of contemplation on these primary ideas. In the article, the theory of “moral consciousness” is based on the “ideas of ideas”, which are the secondary ideas in question. Keywords: Consciousness, Conscience, Awareness, Moral Consciousness, Good-Evil, Joy-Sadness. (shrink)

How should the policies of search engines and other information intermediaries be ethically evaluated? It is argued that Kant’s principles for the public use of reason are useful starting points for the formulation of criteria for such an evaluation. The suggestion is, furthermore, that a search engine can be seen to provide a testimony to the user concerning what information that is most relevant to her query. This suggestion is used as the basis for the development of a broadly Kantian (...) account of a rational searcher. It is argued that the search engine companies are morally required to publish their information policies and act in accordance with them but given the threat of search engine spam they can have no obligation to publish the details of their algorithms. (shrink)