The so‐called problem of irrelevant conjunction has been seen as a serious challenge for theories of confirmation. It involves the consequences of conjoining irrelevant statements to a hypothesis that is confirmed by some piece of evidence. Following Hawthorne and Fitelson, we reconstruct the problem with reference to Bayesian confirmation theory. Then we extend it to the case of conjoining irrelevant statements to a hypothesis that is dis confirmed by some piece of evidence. As a consequence, we obtain and formally present (...) a novel and more troublesome problem of irrelevant conjunction. We conclude by indicating a possible solution based on a measure‐sensitive approach and by critically discussing a major alternative way to address the problem. *Received December 2008; revised August 2009. †To contact the authors, please write to: Department of Philosophy, University of Turin, via Sant'Ottavio 20, 10124 Turin, Italy; e‐mail: vincenzo[email protected] ; [email protected] or [email protected]. (shrink)

Epistemologists and philosophers of science have often attempted to express formally the impact of a piece of evidence on the credibility of a hypothesis. In this paper we will focus on the Bayesian approach to evidential support. We will propose a new formal treatment of the notion of degree of confirmation and we will argue that it overcomes some limitations of the currently available approaches on two grounds: (i) a theoretical analysis of the confirmation relation seen as an extension of (...) logical deduction and (ii) an empirical comparison of competing measures in an experimental inquiry concerning inductive reasoning in a probabilistic setting. (shrink)

Searching for information is critical in many situations. In medicine, for instance, careful choice of a diagnostic test can help narrow down the range of plausible diseases that the patient might have. In a probabilistic framework, test selection is often modeled by assuming that people's goal is to reduce uncertainty about possible states of the world. In cognitive science, psychology, and medical decision making, Shannon entropy is the most prominent and most widely used model to formalize probabilistic uncertainty and the (...) reduction thereof. However, a variety of alternative entropy metrics (Hartley, Quadratic, Tsallis, Rényi, and more) are popular in the social and the natural sciences, computer science, and philosophy of science. Particular entropy measures have been predominant in particular research areas, and it is often an open issue whether these divergences emerge from different theoretical and practical goals or are merely due to historical accident. Cutting across disciplinary boundaries, we show that several entropy and entropy reduction measures arise as special cases in a unified formalism, the Sharma–Mittal framework. Using mathematical results, computer simulations, and analyses of published behavioral data, we discuss four key questions: How do various entropy models relate to each other? What insights can be obtained by considering diverse entropy models within a unified framework? What is the psychological plausibility of different entropy models? What new questions and insights for research on human information acquisition follow? Our work provides several new pathways for theoretical and empirical research, reconciling apparently conflicting approaches and empirical findings within a comprehensive and unified information‐theoretic formalism. (shrink)

Once upon a time, some thought that indicative conditionals could be effectively analyzed as material conditionals. Later on, an alternative theoretical construct has prevailed and received wide acceptance, namely, the conditional probability of the consequent given the antecedent. Partly following critical remarks recently ap- peared in the literature, we suggest that evidential support—rather than conditional probability alone—is key to understand indicative conditionals. There have been motivated concerns that a theory of evidential conditionals (unlike their more tra- ditional counterparts) cannot generate (...) a sufficiently interesting logical system. Here, we will describe results dispelling these worries. Happily, and perhaps surprisingly, appropriate technical variations of Ernst Adams’s classical approach allow for the construction of a logic of evidential conditionals with distinctive fea- tures, which is also well-behaved and reasonably strong. (shrink)

In his mature works, Kuhn abandons the concept of a paradigm and becomes more interested in the analysis of the conceptual structure of scientific theories. These changes are interpreted as resulting from a ‘linguistic turn’ that Kuhn underwent sometimes around the 1980s. Much of the philosophical discussions about Kuhn’s post-‘linguistic turn’ philosophy revolves around his views on taxonomic concepts. Apart from taxonomy, however, the mature Kuhn introduces other concepts, such as conceptual networks and lexicons. This article distinguishes these three concepts (...) and shows that adopting each one of them has different impacts on Kuhn’s model of science. After distinguishing and assessing the concepts of taxonomy, network, and lexicon, it will be argued that the latter not only fits the Kuhnian model of science better, but it also helps capture the wide sense of Kuhn’s early concept of a paradigm. (shrink)

Name der Zeitschrift: Byzantinische Zeitschrift Jahrgang: 109 Heft: 1 Seiten: 151-178.

The Dunning–Kruger effect focuses our attention on the notion of invisibility of ignorance, i.e., the ignorance of ignorance. Such a phenomenon is not only important for everyday life, but also, above all, for some philosophical disciplines, such as epistemology of sciences. When someone tries to understand formally the phenomenon of ignorance of ignorance, they usually end up with a nested epistemic operator highly resistant to proper regimentation. In this paper, we argue that to understand adequately the ignorance of ignorance phenomenon (...) we have to understand satisfactorily the concept of disbelief and, as we call it, the concept of “radical ignorance”. We propose also prerequisites that a notion of radical ignorance useful for the philosophy of science ought to fulfill, and we sketch a possible formalization of this notion. Finally, we propose some comments on the problem of propagation of ignorance proposed by Fine. (shrink)

Al nominalista non manca proprio nulla? La dispensabilità dell’insieme vuoto in mereologia - Quine’s commitment to nominalism has always required set theory to be replaced by an ontologically less dubious tool for the analysis of predication, one that is usually ABSTRACT Rivista di storia della filosofia, n. 1, 2009 mereological in nature, akin to the Calculus of Individuals he and Goodman developed in a seminal paper on nominalism. The problem Quine himself always acknowledged as central in any such replacement arises (...) with the mereological "translation" of numbers. I show here that Quine’s proposed translation strategy, even when successful, raises even more serious issues since it requires mereology to supply a substitute for the empty set. After proving the indispensability, given Quine’s translation, of such an entity, I demonstrate that an exact mereological replica of the empty set cannot be admitted without engendering contradictions. I conclude by discussing some paraphrases of the usual mereological axioms that prima facie might seem to be compatible with the null object and assessing their implausibility. (shrink)

We prove that the unification type of Łukasiewicz logic and of its equivalent algebraic semantics, the variety of MV-algebras, is nullary. The proof rests upon Ghilardiʼs algebraic characterisation of unification types in terms of projective objects, recent progress by Cabrer and Mundici in the investigation of projective MV-algebras, the categorical duality between finitely presented MV-algebras and rational polyhedra, and, finally, a homotopy-theoretic argument that exploits lifts of continuous maps to the universal covering space of the circle. We discuss the background (...) to such diverse tools. In particular, we offer a detailed proof of the duality theorem for finitely presented MV-algebras and rational polyhedra—a fundamental result that, albeit known to specialists, seems to appear in print here for the first time. (shrink)

In his mature writings, Kuhn describes the process of specialisation as driven by a form of incommensurability, defined as a conceptual/linguistic barrier which promotes and guarantees the insularity of specialties. In this paper, we reject the idea that the incommensurability among scientific specialties is a linguistic barrier. We argue that the problem with Kuhn’s characterisation of the incommensurability among specialties is that he presupposes a rather abstract theory of semantic incommensurability, which he then tries to apply to his description of (...) the process of specialisation. By contrast, this paper follows a different strategy: after criticising Kuhn’s view, it takes a further look at how new scientific specialties emerge. As a result, a different way of understanding incommensurability among specialties will be proposed. (shrink)

Splicing is an efficient and precise mechanism that removes noncoding regions from a single primary RNA transcript. Cutting and rejoining of the segments occurs on nascent RNA. Trans-splicing between small specialized RNAs and a primary transcript has been known in some organisms but recent papers show that trans-splicing between two RNA molecules containing different coding regions is the normal mode in a Drosophila gene.1-3 The mod(mdg4) gene produces 26 different mRNAs encoding as many protein isoforms. The differences lie in alternative (...) 3′ exons encoded by different transcriptional units and spliced to the 5′ common region by a surprising trans-splicing mechanism. BioEssays 24:988–991, 2002. © 2002 Wiley-Periodicals, Inc. (shrink)

In his late years, Thomas Kuhn became interested in the process of scientific specialization, which does not seem to possess the destructive element that is characteristic of scientific revolutions. It therefore makes sense to investigate whether and how Kuhn’s insights about specialization are consistent with, and actually fit, his model of scientific progress through revolutions. In this paper, I argue that the transition toward a new specialty corresponds to a revolutionary change for the group of scientists involved in such a (...) transition. I will clarify the role of the scientific community in revolutionary changes and characterize the incommensurability across specialties as possessing both semantic and methodological aspects. The discussion of the discovery of the structure of DNA will serve both as an illustration of my main argument and as reply to one criticism raised against Kuhn—namely, that his model cannot capture cases of revolutionary yet non-disruptive episodes of scientific progress. Revisiting Kuhn’s ideas on specialization will shed new light on some often overlooked features of scientific change. (shrink)

In this paper we deal with the extension of Nash bargaining theory to nonconvex problems. By focussing on the Social Welfare Ordering associated with a bargaining solution, we characterize the symmetric Nash Bargaining Solution (NBS). Moreover, we obtain a unified method of proof of recent characterization results for the asymmetric single-valued NBS and the symmetric multivalued NBS, as well as their extensions to different domains.

Nine manuscripts preserving Avicenna's Kitāb al-Šifāʾ share a set of identical marginal glosses to the section of Logic. One of these manuscripts reports, at the end of each of the glosses, a certificate of transmission ascribing them to the theologian and philosopher Faḫr al-Dīn al-Rāzī (d. 606H/1210), which provides some material evidence of the existence of a flourishing exegetical activity on the Kitāb al-Šifāʾ during the twelfth-thirteenth century, in spite of the apparent lack of commentaries on the text in that (...) period. The present paper provides an edition of the so far unknown ḥāšiyāt to Avicenna's Kitāb al-Šifāʾ by al-Rāzī, with an attempt at reconstructing their tradition and contextualizing them within al-Rāzī’s exegetical and teaching activity. (shrink)

The present paper is divided in two parts . In the first part we will propose Meinong’s theory of time outlined in 1899 interpreted in such a way that the subtlety of his argumentation is emphasised. In the second, we will discuss different solutions for the celebrated McTaggart’s paradox, reaching the conclusion that a theory of time suggested by the reflections of the Austrian Philosopher seems to be the most adequate perspective for tackling this problem.

In the middle of the 12th century the traditional core of divination techniques receives some innovation. New techniques appear, one of them particularly successful: chiromancy. It emerges almost s...

According to the view of conditionals named 'inferentialism', a conditional holds when its consequent can be inferred from its antecedent. This paper identifies some major challenges that inferentialism has to face, and uses them to assess three accounts of conditionals: one is the classical strict account, the other two have recently been proposed by Douven and Rott. As will be shown, none of the three proposals meets all challenges in a fully satisfactory way. We argue through novel formal results that (...) a variation of the evidential account of conditionals suggested by Crupi and Iacona is the most promising candidate to develop inferentialism in a coherent formal framework. (shrink)

The use of Drosophila chromosomal rearrangements and transposon constructs involving the white gene reveals the existence of repressive chromatin domains that can spread over considerable genomic distances. One such type of domain is found in heterochromatin and is responsible for classical position‐effect variegation. Another type of repressive domain is established, beginning at specific sequences, by complexes of Polycomb Group proteins. Such complexes, which normally regulate the expression of many genes, including the homeotic loci, are responsible for silencing, white gene variegation, (...) pairing‐dependent effects and insertional targeting. (shrink)

Today, the concept of democracy seems inextricably linked with that of universal suffrage. But is it true? To let that anyone with a given age has the right to vote is a very good democratic practice, or would prefer to question the criteria for access to this right, perhaps to develop new systems? The current crisis of democracy in the Western world is symptomatic of a detriment of the political consciousness of the people? And yet it is very likely to (...) be admissible and that only from the mass, the large numbers, rises the better choices? In this paper I try to answer these questions, drawing from personal opinions and thoughts, which I hope will inspire questions and curiosity in those who, like me, believes that any system is always perfectible, and that its aim should be to that perfection, without fear of asking uncomfortable questions. Personally, in fact, I can accept democracy as “the worst form of government except all the others that have been tried”, to quote a famous statement by Winston Churchill. But not for that I give up, and I try other ways. Ways that are more satisfying, more fair and keep us away from the horrors that only an angry mob can do. (shrink)

This paper outlines an account of conditionals, the evidential account, which rests on the idea that a conditional is true just in case its antecedent supports its consequent. As we will show, the evidential account exhibits some distinctive logical features that deserve careful consideration. On the one hand, it departs from the material reading of ‘if then’ exactly in the way we would like it to depart from that reading. On the other, it significantly differs from the non-material accounts which (...) hinge on the Ramsey Test, advocated by Adams, Stalnaker, Lewis, and others. (shrink)

Probability ratio and likelihood ratio measures of inductive support and related notions have appeared as theoretical tools for probabilistic approaches in the philosophy of science, the psychology of reasoning, and artificial intelligence. In an effort of conceptual clarification, several authors have pursued axiomatic foundations for these two families of measures. Such results have been criticized, however, as relying on unduly demanding or poorly motivated mathematical assumptions. We provide two novel theorems showing that probability ratio and likelihood ratio measures can be (...) axiomatized in a way that overcomes these difficulties. (shrink)

As a result of technological innovations and new cultural practices, the contemporary mediasphere is increasingly populated by digital(ized) faces. The phenomenon is not limited to human faces, but includes a vast universe of fictional animated faces, variously called ‘characters’, ‘mascots’ or ‘kyara’. In Japan, while certainly not new, kyara have been spreading thanks to globalization, digitalization and media-mix strategies. Through the connection between visual design, fictional narratives and socio-cultural consumption, kyara can be considered semiotic figures of in-betweenness, key symbolic mediators (...) in the Japanese mediascape. Their anthropomorphic face design mediates the cultural boundaries between the human and the non-human, the animate and the inanimate, nature and culture. Furthermore, their post-modern narratives mix inspiration from the past and the present, from myths to science fiction. Lastly, they involve an encyclopedic reworking between fiction and reality, mythical references and secularization, between the domains of seriousness and playful make-believe. The article aims to explore the semiotic dimensions of kyara in contemporary Japan, with emphasis on their logic of representation and cultural outcomes. These will be investigated through the analysis of the Pokemon franchise, which will make it possible to describe the emergence of new semiotic patterns of ‘playful visual animism’ in the process of media facialization of everyday life. (shrink)

The bioeconomy is becoming increasingly prominent in policy and scholarly literature, but critical examination of the concept is lacking. We argue that the bioeconomy should be understood as a political project, not simply or primarily as a technoscientific or economic one. We use a conceptual framework derived from the work of Karl Polanyi to elucidate the politically performative nature of the bioeconomy through an analysis of an influential Organization for Economic Cooperation and Development initiative, The Bioeconomy to 2030. We argue (...) that this initiative is a response to some of the most acute challenges facing the current neoliberal-capitalist accumulation regime, which seeks to protect and extend that regime, through both what it occludes and what it promotes. Rather than taking the bioeconomy as a description of some subset of economic activity, we regard it as a promissory construct that is meant to induce and facilitate some actions while deterring others; most explicitly, it is meant to bring about a particular set of political–institutional changes that will shape the parameters of possible future action. The bioeconomy concept highlights the potential dangers of failing to situate ethnographic examinations of horizontal micro-relations within a political–economic macro-context that enables and constrains. Scholarly work in science and technology studies and elsewhere that does not recognize the wider politics of the bioeconomy risks unintentionally contributing to the legitimation of this political project. (shrink)

We offer a proof of the duality theorem for finitely presented MV-algebras and rational polyhedra, a folklore and yet fundamental result. Our approach develops first a general dual adjunction between MV-algebras and subspaces of Tychonoff cubes, endowed with the transformations that are definable in the language of MV-algebras. We then show that this dual adjunction restricts to a duality between semisimple MV-algebras and closed subspaces of Tychonoff cubes. The duality theorem for finitely presented objects is obtained by a further specialisation. (...) Our treatment is aimed at showing exactly which parts of the basic theory of MV-algebras are needed in order to establish these results, with an eye towards future generalisations. (shrink)

This paper develops a formal theory of non-monotonic consequence which differs from most extant theories in that it assumes Contraposition as a basic principle of defeasible reasoning. We define a minimal logic that combines Contraposition with three uncontroversial inference rules, and we prove some key results that characterize this logic and its possible extensions.

This paper conducts a Bayesian analysis of the Hubble tension, which addresses the discrepancy between local measurements of the Hubble Constant $$H_0$$ and the value predicted by the $$\Lambda $$ CDM model based on Cosmic Microwave Background data. By incorporating new, independent data from the James Webb Space Telescope released in August 2024, the analysis shows that, unlike before, there is no longer strong evidence to suggest that the $$\Lambda $$ CDM model is incorrect. As a result, the Hubble tension (...) appears to ease somewhat, indicating that the previously perceived crisis in cosmology may have been overstated, and the standard model remains robust. (shrink)