This article attempts to question modes of sharing and watching to rethink political subjectivity beyond that which is enabled and enforced by the current data regime. It identifies and examines a ‘shareveillant’ subjectivity: a form configured by the sharing and watching that subjects have to withstand and enact in the contemporary data assemblage. Looking at government open and closed data as case studies, this article demonstrates how ‘shareveillance’ produces an anti-political role for the public. In describing shareveillance as, (...) after Jacques Rancière, a distribution of the sensible, this article posits a politico-ethical injunction to cut into the share and flow of data in order to arrange a more enabling assemblage of data and its affects. In order to interrupt shareveillance, this article borrows a concept from Édouard Glissant and his concern with raced otherness to imagine what a ‘right to opacity’ might mean in the digital context. To assert this right is not to endorse the individual subject in her sovereignty and solitude, but rather to imagine a collective political subjectivity and relationality according to the important question of what it means to ‘share well’ beyond the veillant expectations of the state. (shrink)

The paper uses the example of historical paper research in Vienna around 1900 in order to analyze the dynamics of scientific cooperation between the natural sciences and the humanities. It focuses on the Vienna-based plant physiologist Julius Wiesner (1838–1916), who from 1884 to 1911 studied medieval paper manuscripts under the microscope in productive cooperation with paleographers, archaeologists and orientalists (Josef Karabacek, Marc Aurel Stein, Rudolf Hoernle). The paper examines why these cooperations succeeded and how they developed over time. Here we (...) distinguish between two forms of cooperation: while Wiesner initially worked only reactively, in a “closed cooperation”, he later entered into “open cooperations”, in which both parties defined research questions and methods. This form of cooperation proved particularly successful, but at the same time was especially demanding because, in addition to contributing one’s own skills, it required considerable “interlocking expertise” (Andersen 2016). This was favored because the historical auxiliary sciences were in a phase of upheaval. Wiesner contributed his knowledge of technical microscopy and developed a genuine interest in historical questions, while the humanists were prepared to open themselves to scientific processes and ultimately acknowledged Wiesner as a historian of paper in his own right. (shrink)

The chapter records personal accounts of the author’s dealings with dilemmas encountered in the research methods literature and in the field of practice, as an action researcher and teacher educator. It draws on Mary Chamberlain’s Fenwomen to illustrate some of the dangers of ethnographic research. Using data from two instances, one in a pre-service initial teacher-training programme and the other in teacher induction, the author draws out the tensions between the ‘need to know’ in order to act professionally, and the (...) ‘need to protect’ in order to do the same. (shrink)

In his logical papers, Leo Esakia studied corresponding ordered topological spaces and order-preserving mappings. Similar spaces and mappings appear in many other application areas such the analysis of causality in space-time. It is known that under reasonable conditions, both the topology and the original order relation $${\preccurlyeq}$$ can be uniquely reconstructed if we know the “interior” $${\prec}$$ of the order relation. It is also known that in some cases, we can uniquely reconstruct $${\prec}$$ (and hence, topology) from $${\preccurlyeq}$$. In this (...) paper, we show that, in general, under reasonable conditions, the open order $${\prec}$$ (and hence, the corresponding topology) can be uniquely determined from its closure $${\preccurlyeq}$$. (shrink)

The Lilly Endowment Research Program in Christianity and Politics is an enviable form of energetic subsidy which implements an American concern for intellectual integrity much more realistically than the lipservice which older and more complacent nations commonly profess. It believes that Christian culture should be brought to bear in detail upon the actual problems of politics and social order and it devotes an annual series of public lectures to this high-minded aim. The published series is inaugurated in this exploratory essay (...) into the possible nature of Christian philosophy itself by a distinguished Harvard professor, the text being developed from his Walter Freeman Whitman Lectures and Lilly Foundation Lectures of 1958. Holding that our anxious century has lost confidence in the self-sufficiency of human reason to establish an evident and closed order in reality, he believes that men are now ready to contemplate the reality of a chastened reason open to the influence of religious ideals. And he claims that the very reception of the term, ‘Christian philosophy’ only recently into common usage is ‘the expression of a noteworthy gap in our intellectual history’. (shrink)

We prove that there are 2 χ 0 pairwise non elementarily equivalent existentially closed ordered groups, which solve the main open problem in this area (cf. [3, 10]). A simple direct proof is given of the weaker fact that the theory of ordered groups has no model companion; the case of the ordered division rings over a field k is also investigated. Our main result uses constructible sets and can be put in an abstract general framework. Comparison with (...) the standard methods which use forcing (cf. [4]) is sketched. (shrink)

This paper examines a struggle over the future use of Nordic forests, which took place from 2009 to 2012 within a major research program, Future Forests—Sustainable Strategies under Uncertainty and Risk, organized and funded by Mistra, The Swedish Foundation for Strategic Environmental Research. We explore the role of strategic environmental research in societal constructions of long-term challenges and future risks. Specifically, we draw attention to the role played by environmental research in the creation of future images that become dominant for (...) how societies structure action for the long term. We also show that this process is on several accounts problematic. Research labeled “strategic” or “relevant” is intended to manage long-term risks and challenges in a sustainable way, by taking into account the “open” and “plural” nature of the future. The case of Future Forests suggests, rather, that by contributing to the emergence of dominant future images, environmental research is entangled with a process of gradual consensus creation around what may be highly selective or biased narratives of the long term, which may conceal or postpone key forms of future conflict. (shrink)

TWENTIETH CENTURY PHENOMENOLOGY articulates itself in terms of both an implicit and explicit interpretation of Greek philosophy. 'Phenomenology' is not only a Greek-based word, it signifies a Greek way of thinking. Yet within this Hellenic economy two affiliated currents appear that lead, at first, to a small difference and, then, finally, to a dramatic difference in the way phenomenology relates to the Greeks. The first current is represented by Husserl whose relation I shall call the constructing one, the second by (...) Heidegger which I shall call the deconstructing one. I want to explore and contrast these relations from that perspective. To a remarkable degree, they bear a resemblance to those which open and close the nineteenth century, which is to say the first great phenomenologist, Hegel, and the first great deconstructionist, Nietzsche. According to the constructive program, the purpose of phenomenology is to carry forward philosophical thought, while revising and shifting it, in order to build and complete the edifice of Greek philosophical science. It supposes a certain archë, follows a course even as it insists on past diversions and errance [[sic]] in its pursuit, and orients itself toward a future telos. (shrink)

This paper presents a polarized phase semantics, with respect to which the linear fragment of second order polarized linear logic of Laurent [15] is complete. This is done by adding a topological structure to Girard's phase semantics [9]. The topological structure results naturally from the categorical construction developed by Hamano—Scott [12]. The polarity shifting operator ↓ (resp. ↑) is interpreted as an interior (resp. closure) operator in such a manner that positive (resp. negative) formulas correspond to open (resp. (...) class='Hi'>closed) facts. By accommodating the exponentials of linear logic, our model is extended to the polarized fragment of the second order linear logic. Strong forms of completeness theorems are given to yield cut-eliminations for the both second order systems. As an application of our semantics, the first order conservativity of linear logic is studied over its polarized fragment of Laurent [16]. Using a counter model construction, the extension of this conservativity is shown to fail into the second order, whose solution is posed as an open problem in [16]. After this negative result, a second order conservativity theorem is proved for an eta expanded fragment of the second order linear logic, which fragment retains a focalized sequent property of [3]. (shrink)

This article examines the legitimacy attached to different types of multi-stakeholder data partnerships occurring in the context of sustainable development. We develop a framework to assess the democratic legitimacy of two types of data partnerships: open data partnerships and closed data partnerships. Our framework specifies criteria for assessing the legitimacy of relevant partnerships with regard to their input legitimacy as well as their output legitimacy. We demonstrate which particular characteristics of open and closed partnerships can be (...) expected to influence an analysis of their input and output legitimacy. (shrink)

The Jurisprudence Lecture, delivered by Ayelet Shachar, challenges the established dichotomy between open and closed borders, showing that one of the most remarkable developments of recent years is...

Identity arguments for the existence of god offer an intriguing blend of conceptual and existential claims. As it happens, this sort of blend has been probed for more than a century in metaethics, ever since G.E. Moore formulated the Open Question Argument against metaethical naturalism. Moore envisaged naturalism as offering identity claims between good and natural properties. His central worry was that such identity claims should render certain questions closed and hence meaningless. However, he contended that speakers competent (...) with the respective concepts would find these questions meaningful, thereby indicating the failure of the identity claim in question, and of all such identity claims. The history of this issue in metaethics provides an important perspective on the prospects of devising cogent, rhetorically successful versions of identity arguments for the existence of god. Both the conceptual and existential premises of such arguments involve conceptual nuances that metaethicists have studied. Overall, the history of the Open Question Argument provides reason to think that rationally compelling versions of identity arguments for the existence of god are very unlikely to be constructed. (shrink)

We show that if a real x2ω is strongly Hausdorff -random, where h is a dimension function corresponding to a convex order, then it is also random for a continuous probability measure μ such that the μ-measure of the basic open cylinders shrinks according to h. The proof uses a new method to construct measures, based on effective continuous transformations and a basis theorem for -classes applied to closed sets of probability measures. We use the main result to (...) derive a collapse of randomness notions for Hausdorff measures, and to provide a characterization of effective Hausdorff dimension similar to Frostman’s Theorem. (shrink)

Abstract:Open neural tube defects or myelomeningoceles are a common congenital condition caused by failure of closure of the neural tube early in gestation, leading to a number of neurologic sequelae including paralysis, hindbrain herniation, hydrocephalus and neurogenic bowel and bladder dysfunction. Traditionally, the condition was treated by closure of the defect postnatally but a recently completed randomized controlled trial of prenatal versus postnatal closure demonstrated improved neurologic outcomes in the prenatal closure group. Fetal surgery, or more precisely maternal-fetal surgery, (...) raises a number of ethical issues that we address including who the patient is, informed consent, surgical innovation and equipoise as well maternal assumption of risk. As the procedure becomes more widely adopted into practice, we suggest close monitoring of new fetal surgery centers, in order to ensure that the positive results of the trial are maintained without increased risk to both the mother and fetus. (shrink)

A discussion of Umberto Eco's notion of open and closed texts.

Many philosophers take for granted that there is a strong pre‐theoretical intuition that the future is open and that it is worth trying to make sense of that intuition in theoretical terms. In this paper, I give a characterisation of the ordinary intuition in terms of three elements: our sense of agency, the difference in normativity between memories and expectations and naïve understanding of causality. Those intuitions allow us to pin down certain desiderata that an account of openness should (...) respect. Firstly, the fact that the future is open is not merely due to our epistemic situation (the fact that we do not know what the future will bring). Secondly, openness is not merely a matter of nomological indeterminism; even if indeterminism is part of what makes the future open, it cannot be the end of the story. Thirdly, openness requires more than ‘modal flexibility’ (i.e. the fact that the future could be different from what actually will be). I provide a minimal theory of openness, which respects those desiderata and which is based on the semantic notion of unsettledness and the metaphysical notion of indeterminacy. Roughly, the future is open if future‐tensed claims concerning contingent matters are such that their truth value is presently unsettled, and they are semantically unsettled because the future is metaphysically indeterminate. I then argue that this theory is compatible with what I call the closed future view. According to the latter, there is only one way in which things will go, although, given indeterminism, it is unsettled which way it is. I then consider an objection to my compatibility claim: if the open future claim is metaphysically substantive, there should be a way to differentiate it from the closed future scenario. I consider whether a friend of openness could rely on a dynamic metaphysics of time (such as presentism, or the growing block view) in order to differentiate their position from the closed future scenario. I argue that the appeal to a dynamic universe is ineffective. (shrink)

Closed Material Procedures are widely considered to be unjust. In his influential A Theory of Justice, Rawls sets out that trials must be fair and open, and that such precepts of natural justice ensure the impartiality of the legal order. I argue that whilst this commits Rawls to a rejection of the permissibility of CMPs, he is not right to do so, and his theory does not require him to do so. Firstly, the conception of natural justice upon (...) which Rawls bases his view of open justice is not so strict as to demand this so long as the legal system ensures a sufficient gist of the closed material is provided. Secondly, it is plausible that individuals in Rawls’ original position, would select CMPs due to the role security and stability play in a just state, the importance of which Rawls explicitly recognises. I conclude that CMPs are consistent with Rawls’ theory of justice, despite his assertions in A Theory of Justice. Given the importance and influence of Rawls’ theory, this is an important step in demonstrating the permissibility of such procedures, duly circumscribed. (shrink)

The following considerations do not take their point of departure in legal logic, legal pragmatics, or in the critique of law but rather in the genesis of law, its emergence, and its place in actual experience. In particular, I would like to look at law as a special form of order and ordering power. Reference to “the law” can only be provisional, as it concerns a variable term that also changes in its linguistic designations.I will concentrate on the pre-juridical and (...) supra-juridical aspects of legal practice itself. Accordingly, although the law will not hereinafter be the object of an inquiry from an external point of view, I assume that legal thinking, as all thinking that takes place in determinate orders, has its own peculiar outside.Here I follow Foucault’s injunction concerning a penser du dehors. Close scrutiny of the internal/external difference opens up critical perspectives that spring from “the very core of law.” In general, the following pages take their cue from the responsively oriented and ‘pathically’ grounded phenomenology I have developed hitherto. (shrink)

This book presents a radical new picture of natural order. The Newtonian idea of a cosmos ruled by universal and exceptionless laws has been superseded; replaced by a conception of nature as a realm of diverse powers, potencies, and dispositions, a 'dappled world'. There is order in nature, but it is more local, diverse, piecemeal, open, and emergent than Newton imagined. In each chapter expert authors expound the historical context of the idea of laws of nature, and explore the (...) diverse sorts of order actually presupposed by work in physics, biology, and the social sciences. They consider how human freedom might be understood, and explore how Newton's idea of a 'universal designer' might be revised, in this new context. They argue that there is not one unified totalizing program of science, aiming at the completion of one closed causal system. We live in an ordered universe, but we need to rethink the classical idea of the 'laws of nature' in a more dynamic and creatively diverse way. (shrink)

The critical realist conception of open and closed systems is not about systems: it is about regularities in the flux of events and states of affairs. It has recently been criticised on the grounds that critical realists should take on board ideas about the general nature of systems; recognise that genuinely open social systems would be impossible; avoid polarities or dualisms where either there are event regularities and open systems, or there are no event regularities and (...) closed systems and accept partial regularities and partially open systems; and understand that orthodox economics is not based upon event regularities, laws or Humean empiricism. The objective of this paper is to ‘take stock’ of these recent criticisms. (shrink)

I discuss a collection of problems in relevance logic. The main problems discussed are: the decidability of the positive semilattice system, decidability of the fragments of R in a restricted number of variables, and the complexity of the decision problem for the implicational fragment of R. Some related problems are discussed along the way.

In this paper we study intrinsic notions of “computability” for open and closed subsets of Euclidean space. Here we combine together the two concepts, computability on abstract metric spaces and computability for continuous functions, and delineate the basic properties of computable open and closed sets. The paper concludes with a comprehensive examination of the Effective Riemann Mapping Theorem and related questions.

The history of biological systematics documents a continuing tension between classifications in terms of nested hierarchies congruent with branching diagrams (the ‘Tree of Life’) versus reticulated relations. The recognition of conflicting character distribution led to the dissolution of the scala naturae into reticulated systems, which were then transformed into phylogenetic trees by the addition of a vertical axis. The cladistic revolution in systematics resulted in a representation of phylogeny as a strictly bifurcating pattern (cladogram). Due to the ubiquity of character (...) conflict—at the genetic or morphological level, or at any level in between—some characters will necessarily have to be discarded ( qua noise) in favor of others in support of a strictly bifurcating phylogenetic tree. Pattern analysts will seek maximal congruence in the distribution of characters (ultimately of any kind) relative to a branching tree-topology; process explainers will call such tree-topologies into question by reference to incompatible evolutionary processes. Pattern analysts will argue that process explanations must not be brought to bear on pattern reconstruction; process explainers will insist that the reconstructed pattern requires a process explanation to become scientifically relevant, i.e., relevant to evolutionary theory. The core question driving the current debate about the adequacy of the ‘Tree of Life’ metaphor seems to be whether the systematic dichotomization of the living world is an adequate representation of the complex evolutionary history of global biodiversity. In ‘Questioning the Tree of Life’, it seems beneficial to draw at least four conceptual distinctions: pattern reconstruction versus process explanation as different epistemological approaches to the study of phylogeny; open versus closed systems as expressions of different kinds of population (species) structures; phylogenetic trees versus cladograms as representations of evolutionary processes versus patterns of relationships; and genes versus species as expressions of different levels of causal integration and evolutionary transformation. (shrink)

Bhaskar's articulation of his ‘transcendental realism' includes an argument for a form of causal emergence which would mean the rejection of physicalism, by means of rejecting the causal closure of the physical. His argument is based on an analysis of the conditions for closure, where closed systems manifest regular or Humean relations between events. Bhaskar argues that the project of seeking closure entails commitment to a strong reductionism, which in turn entails the impossibility of science itself, and concludes that (...) we should endorse causal emergence. I argue that Bhaskar's case grossly overreaches itself, and that he fails to establish the emergentist conclusions which he asserts. Consequently his programme poses no significant threat to physicalism. (shrink)

In this paper a theory of finitistic and frequentistic approximations — in short: f-approximations — of probability measures P over a countably infinite outcome space N is developed. The family of subsets of N for which f-approximations converge to a frequency limit forms a pre-Dynkin system $${{D\subseteq\wp(N)}}$$. The limiting probability measure over D can always be extended to a probability measure over $${{\wp(N)}}$$, but this measure is not always σ-additive. We conclude that probability measures can be regarded as idealizations of (...) limiting frequencies if and only if σ-additivity is not assumed as a necessary axiom for probabilities. We prove that σ-additive probability measures can be characterized in terms of so-called canonical and in terms of so-called full f-approximations. We also show that every non-σ-additive probability measure is f-approximable, though neither canonically nor fully f-approximable. Finally, we transfer our results to probability measures on open or closed formulas of first-order languages. (shrink)

The following strong form of density of definable types is introduced for theoriesTadmitting a fibered dimension functiond: given a modelMofTand a definable setX⊆Mn, there is a definable typepinX, definable over a code forXand of the samed-dimension asX. Both o-minimal theories and the theory of closed ordered differential fields are shown to have this property. As an application, we derive a new proof of elimination of imaginaries for CODF.

In Zhuangzi’s philosophy, the intellectual virtues of humility and open-mindedness are best understood in the context of his epistemic perspectivism. The method, which urges knowers to pursue various and diverse points of view and incorporate them into a broad perspective, is justified by a second-order realization that all perspectives are partial and limited. This in turn urges a meta-virtue of humility, defined as a disposition in which knowers become aware of their epistemic limitations. Humility, consequently, encourages the virtue of (...) open-mindedness, defined as the willingness and ability to surpass existing personal perspectives. Zhuangzi endorses the method and its attendant virtues to achieve what he calls great knowing. I propose that we gain a clearer sense of the role of humility and open-mindedness by also considering Zhuangzi’s treatment of the vices, which are addressed with as much frequency as the virtues. Zhuangzi’s treatment of arrogance and closed-mindedness reveals how humility and open-mindedness operate as corrective virtues, in the sense that they compensate for evident and familiar deficiencies in the epistemic practices of knowers in Zhuangzi’s time. Humility and open-mindedness enable knowers to acquire new points of view that reliably produce knowledge. (shrink)

Science and technology studies scholars have turned their attention to the materiality of objects and buildings in order to examine what they make users do in practice. Taking a close look at a therapeutic community in a psychiatric day care center for teenagers, this paper joins these discussions by exploring the materiality of “spaces of care” as part of the center’s everyday practice. The analysis incorporates the concepts of scripts and dispositifs to describe the conditions of possibility in which caregivers (...) and youths may position themselves in relation to others and to the space itself. This paper describes how spaces of care offer open, enticing, and variable conditions for fostering a dynamic of personal and relational responses as part of the care work. In this sense, the material environment entails potentialities in ways that are unpredictable but nonetheless consequential. Rather than arguing that material arrangements and things act, this paper draws attention to their impact via their potential within dispositifs of care that request participants’ attentiveness and responsiveness. Describing these potentialities brings out the subtler requirements of material environments in care practices that aim at circumventing the coercion of disciplinary spaces and their impersonal classifications. (shrink)

Background Executive functions (EFs) not only play an important role in shaping adolescent’s goal-directed, future-oriented cognitive skills under relatively abstract, non-affective conditions (Cool EF), but also under motivationally significant, affective conditions (Hot EF). Empirical evidence suggest a link between EF, exercise and physical activity, specifically elite adult athletes appear to outperform amateur athletes in Cool EF; however, no previous studies have examined the relationship between Hot and Cool EFs and impulsivity during the developmentally sensitive period of adolescence comparing different types (...) of sport (open- vs. closed-skills), and levels (elite athletes vs. amateurs). Methods A total 86 boys and girls between 13 and 15 years of age (mean: 14.0, SD : 0.79) from different sports (track-and-field; team handball) were recruited. Participants were further divided into two groups: (a) 40 elite, and (b) 46 amateur athletes. They completed four Cool EF tasks including Trail-Making Test, Trail-Walking-Test, Flanker task, n-back-task, and one Hot EF task on Game of Dice task. Data on subjective impulsivity (UPPS Impulsive Behavior Scale; Barratt Impulsiveness Scale-15) was also collected. Results There was a significant overall effect for expertise in favor of elite athletes (Wilks’ Lambda = 0.61, F (14,69) = 3.19, p = 0.001, η p 2 = 0.393), but no overall main effect for type of sport or an interaction for expertise by type of sport. Specifically, elite athletes showed significantly better performances on dual tasks. For Hot EF, there were no main effects for type of sport, expertise level, training experience or training duration. We also found positive correlations among Cool EF and impulsivity measures, and between Hot EF and Impulsivity, but no significant relationship between Cool and Hot EF. Conclusion The current understanding of the decisive cognitive abilities does not correspond to sporting reality, so that the tests frequently used are not sensitive enough to distinguish between elite and amateur athletes or different sports. However, it should also be remembered that the factors underlying complex sporting performance are multidimensional and are obviously difficult to trace back to selected partial aspects. Without being able to answer this question conclusively, we proposed a 4-D classification of experimental paradigms, in which we differentiate between tasks of different specificity, between Cool and Hot EF, and between task complexity, and type of sport. (shrink)

In this essay, I engage with the work of the mid-twentieth-century US suspense novelist Patricia Highsmith in order to open up the question of queerness as a historically locatable theory and practice of antinormativity in the post-identitarian, post-new-social-movement United States. I argue that Highsmith's Ripley novels offer a discomfitingly intimate counter-fantasy to the politically radical ambitions of both gay liberation and queer studies, one that reminds us of the constitutive power of commodification in the making of social fantasies of (...) gendered and sexual subversion in the United States in the second half of the twentieth century. In offering her readers scenes that become situations in their reliance on repetition in order to create and then alleviate tension, Highsmith's Ripley novels enact a relation of attachment indicative of the momentary and addictive pleasures of consumer capitalism. Through this formal signature, I argue, Highsmith's work offers us access to a different affective history of queerness in the United States, one that illuminates the power and appeal of norms and their constitutive presence in the production of queer subjects and worlds. (shrink)

This paper describes a long-standing, though little-known, debate between Paul Dirac and Werner Heisenberg over the nature of scientific methodology, theory change, and intertheoretic relations. Following Heisenberg’s terminology, their disagreements can be summarized as a debate over whether the classical and quantum theories are “open” or “closed.” A close examination of this debate sheds new light on the philosophical views of two of the great founders of quantum theory.

In the first chapter, we discuss Dummett’s idea that the notion of truth arises from the one of the correctness of an assertion. We argue that, in a first-order language, the need of defining truth in terms of the notion of satisfaction, which is yielded by the presence of quantifiers, is structurally analogous to the need of a notion of truth as distinct from the one of correctness of an assertion. In the light of the analogy between predicates in Frege (...) and open formulas in Tarksi, we concentrate on the semantic status of predicates. We register a dual attitude of Dummett towards Frege’s ascription of reference to predicates. On the one it is needed to endow quantifiers with their appropriate meaning. On the other hand, the introduction of concepts, as semantic correlate of predicates, smuggles a realist flavor in the overall semantic picture. In concluding the excursus (and with it the chapter), we stress Dummett’s will of developing a semantic picture free from this realist trait. In the second chapter, we present the idea of a proof-theoretic semantics. As for Frege true sentences denotes the truth-value True, so here closed' (i.e. categorical) valid argumentations denotes proofs. If a language contains implication-like operators, in order to characterize the condition of validity of a closed argumentation one has to introduce a notion of validity applying to ‘open’ (i.e. hypothetical) argumentations. We argue that this problem is analogous to the one posed by quantifiers in Frege-Tarksi’s style semantics. That is, implication forces one to introduce notion of validity for argumentations, which is more substantial than the correctness of the assertion of their conclusions. As we saw, the corresponding claim in the truth-based approach—that quantifiers require one to introduce a notion of truth, which is more substantial than the one of an assertion being correct—was the source of realism. Hence, Dummett proposes to reduce the semantic contribution of open argumentations to the one of their ‘closed instances’. In the truth-based perspective, this would correspond to the denial of the need of introducing concepts as the semantic correlates of predicates. We argue that Dummett’s fear, that an irreducible notion of function (represented by the need of ascribing validity to open argumentations) would lead to realism, turns out to be ill-founded. In the third chapter, we discuss the role played by the notion of truth in the anti-realist account. The notion of truth is what the anti-realist needs to cope with the so-called paradox of deduction. The analysis of the paradox yields to distinguishing between the truth of a sentence and the truth of a sentence being recognized. In terms of these conceptual couple, we reconsider the relationship between truth and assertion in an anti-realist perspective. Grounds are provided for a thesis (which was already advanced in chapter two), according to which the notion of the assertion of a sentence being correct is primarily connected only with the canonical means of establishing a sentence. The possibility of establishing a sentence by indirect means is conceptually dependent on the practice of establishing logical relationship of dependence among sentences. That is, the notion of a closed valid non-canonical argumentation is of any theoretical relevance only in presence of a notion of validity applying to open argumentations. In the fourth chapter, we discuss the possibility of characterizing in the proof-theoretic-semantics a notion of refutation. We develop an original characterization of refutations starting from an informal inductive specification of the condition of refutations of logically complex sentences. A sub-structural logic, called dual-intuitionistic logic, stands to this notion in the same relationship in which intuitionistic logic stands to the notion of proof so far consdered. All notions developed in chapter 2 have their corresponding (dual) ones in the framework developed. In particular, the distinctions canonical/non-canonical and closed/open argumentations. In the refutation based perspective, elimination rules have priority over introductions and the (only) assumption over the (many) conclusions. In the conclusions, we indicate the ingredients that an anti-realist approach to meaning should incorporate, in order to avoid the difficulties we registered. The core of an alternative view is a different conception of the relationship between categorical and hypothetical notions, in which the validity of open argumentations is not reduced to that of their instances, but rather it is directly defined. As a limit case, one would get a notion of validity applying to closed argumentations. (shrink)

This paper presents a unified theory of reality, which integrates two interdependent frameworks: Cellular Primary Consciousness Theory (CPCT) and Open and Closed Systems Theory (OCST). Although CPCT and OCST can each stand as individual theories, they are, in this work, combined to form a cohesive explanation of both the mechanics and purpose of the universe. CPCT posits that consciousness is a fundamental aspect of all life, extending to even the simplest cells, rather than being an emergent property exclusive (...) to complex neural systems. Drawing upon evidence from quantum mechanics, cell biology, and systems theory, CPCT challenges traditional views on the origins of consciousness by suggesting that awareness is a universal property present from the cellular level. OCST, which forms the second component of this unified theory, examines the nature of the universe as a closed system subject to the laws of entropy. This theory explores how the universe is moving toward maximum entropy, where meaning and contrasts dissolve. However, beyond this closed system lies the realm of an open system—a domain of infinite potential that transcends the dualities and limitations of the physical universe. This open system offers a philosophical explanation for existence and the possibility of eternal meaning. Together, these two theories provide a novel and cohesive framework that addresses both the mechanics of consciousness and the ultimate purpose of the universe. The integration of CPCT and OCST bridges scientific evidence from quantum biology and systems theory with philosophical explorations of existence, presenting a comprehensive vision of reality as both a closed physical system and an open metaphysical one. This unified theory encourages a reexamination of our place in the cosmos, suggesting that beyond the observable universe lies an infinite realm of potential where consciousness and meaning endure. (shrink)

This thesis, titled ‘Across May ’68; Reading friendships in Jacques Derrida’s Dissemination and Glas’, challenges the claims of a ‘political turn’ occurring for only the first time in Jacques Derrida’s writings in the 1980s, with many citing his ordeal in Prague in 1981 as catalysing this turn. While his writings may be thought to become more explicit in the 1980s and 1990s—a turbulent decade that indeed encompassed polemics against and, even within, the coterie of Deconstruction, over the Paul de Man (...) and Martin Heidegger revelations —Politics of Friendship, and Spectres of Marx being examples, this leaves much of his earlier work unconsidered in terms of its impact on Derrida’s later political outlook. The thesis rereads and contextualises two texts, 1972’s Dissemination and 1974’s Glas, in conjunction with a selection of contemporaneous essays, reading these retrospectively through Politics of Friendship and Spectres of Marx, and traces Derrida’s diverging relationships with Philippe Sollers and the journal Tel Quel, against the intense political period in France now known as ‘May 1968’. My thesis reads in chronological order each essay from Dissemination as representing stages of a developing written praxis Derrida will call ‘dissemination’, arguing that, in the context of his relationship with Sollers and Tel Quel, the text Dissemination marks the political hinge in his writings, constitutive of a radical supplementary political praxis that, ultimately, did not finish even with his departure from Tel Quel in early-1972 but continued some years after in his work in providing a vital impetus to the writing of Glas. My thesis provides a socio-historical and political context to Derrida’s philosophy—from the time of his working in tandem with Sollers, through to writing as a supplementary political praxis to Tel Quel following his departure. In ‘Plato’s Pharmacy’. My thesis traces, in the Polis, a link between writing and political friendships and ‘phallogocentrism’. The thesis connects ‘Double Session’ and its discussions of Mallarmé’s ‘mimicry without referent’ to Derrida’s interrogation into then-current modes of philosophico-literary writing; especially those of Tel Quel. The thesis then reads ‘Dissemination’ and its review/rereading of Sollers’ 1968 novel Numbers—which is itself a text informed by the intellectual reactions and reflections to the politicised context of 1960s Paris. Derrida ‘opens’ Numbers, dissipating its ideological fervour for a political community that is inherently homogeneous and closed to the ‘other’, by placing key motifs in the text under chiasma, opening up its writing to the infinite ‘otherness’ of metaphysics. My thesis reads ‘Outwork’ as a discussion of writing that unravels demarcations and limits between inside and out. In doing so, I argue, Dissemination anticipates the multi-surfaces and margins of Glas and its discussion of stratified politics limits. My thesis reads Glas as a culmination and perpetuation of the praxis developed in Dissemination that proposes a political encounter of the ‘other’ based upon distance as well as proximity, and dialogue through its paratextual and symbolic typography. Glas is read as antecedent of a deconstructed political community, an ethics, and a responsibility that gestures an openness to dialogue with Sollers and Tel Quel, while also disproving Derrida’s purported political silence around May 1968. My thesis argues Glas is open to futurity, hopeful for a renewed political encounter, even if this involves a betrayal of the very notion of friendship for the sake of an-other friendship not tied by bonds of political solidarity, and ultimately reactionary aspirations for a shared communitarian project that, inevitably, represses difference. The thesis argues that this period initiates the emergence of a deconstructed politics by Derrida based upon a profound understanding of the structures underpinning the popularist riots—particularly as a re-evaluation of the Marxist and Maoist discussions that were prevalent in the intellectual reactions to the period. (shrink)

We study Lebesgue and Atsuji spaces within subsystems of second order arithmetic. The former spaces are those such that every open covering has a Lebesgue number, while the latter are those such that every continuous function defined on them is uniformly continuous. The main results we obtain are the following: the statement “every compact space is Lebesgue” is equivalent to $\hbox{\sf WKL}_0$ ; the statements “every perfect Lebesgue space is compact” and “every perfect Atsuji space is compact” are equivalent (...) to $\hbox{\sf ACA}_0$ ; the statement “every Lebesgue space is Atsuji” is provable in $\hbox{\sf RCA}_0$ ; the statement “every Atsuji space is Lebesgue” is provable in $\hbox{\sf ACA}_0$ . We also prove that the statement “the distance from a closed set is a continuous function” is equivalent to $\Pi^1_1\hbox{-\sf CA}_0$. (shrink)

This paper introduces the notion of open‐mindedness before proceeding to outline its value to the practical activity of nursing. An argument is constructed to point to the desirability of the development of a virtue of open‐mindedness in nurses in order to complement evidence‐based practice. Attention is drawn to two failures of open‐mindedness (the vices of closed‐mindedness and credulousness), which have the potential both to restrict autonomous practice and to cause harm.

The complete characterisation of order types of non-standard models of Peano arithmetic and its extensions is a famous open problem. In this paper, we consider subtheories of Peano arithmetic (both with and without induction), in particular, theories formulated in proper fragments of the full language of arithmetic. We study the order types of their non-standard models and separate all considered theories via their possible order types. We compare the theories with and without induction and observe that the theories without (...) induction tend to have an algebraic character that allows model constructions by closing a model under the relevant algebraic operations. (shrink)

We describe classes of existentially closed ordered difference fields and rings. We show an Ax-Kochen type result for a class of valued ordered difference fields.