Femtosecond laser microfabrication has emerged in the last decade as a powerful technique for direct inscription of low loss optical waveguides in practically any transparent dielectric substrate, showing outstanding versatility. Prototyping of new devices is made rapid, cheap and easy: optical circuits are written directly buried in the substrate, using the laser beam as an optical pen, without any need of costly masks as required by conventional photolithography. Many proof-of-principle demonstrations of integrated optics can be obtained, including splitters, directional couplers, (...) and Mach–Zehnder interferometers. Actually, the road towards applications has just been opened, and the unique capabilities of femtosecond laser micromachining will enable achievements inconceivable with other technologies. In this work, the femtosecond laser fabrication technique is discussed, together with its application to the realization of integrated photonic quantum circuits. (shrink)

The seventeenth century saw dramatic advances in mathematical theory and practice. With the recovery of many of the classical Greek mathematical texts, new techniques were introduced, and within 100 years, the rules of analytic geometry, geometry of indivisibles, arithmatic of infinites, and calculus were developed. Although many technical studies have been devoted to these innovations, Mancosu provides the first comprehensive account of the relationship between mathematical advances of the seventeenth century and the philosophy of mathematics of the period. Starting with (...) the Renaissance debates on the certainty of mathematics, Mancosu leads the reader through the foundational issues raised by the emergence of these new mathematical techniques, including the influence of the Aristotelian conception of science in Cavalieri and Guldin, the foundational relevance of Descartes' Geometrie, the relation between geometrical and epistemological theories of the infinite, and the Leibnizian calculus and the opposition to infinitesimalist procedures. In the process Mancosu draws a sophisticated picture of the subtle dependencies between technical development and philosophical reflection in seventeenth century mathematics. (shrink)

This paper reformulates some of the questions raised by extended mind theorists from an enactive, life/mind continuity perspective. Because of its reliance on concepts such as autopoiesis, the enactive approach has been deemed internalist and thus incompatible with the extended mind hypothesis. This paper answers this criticism by showing (1) that the relation between organism and cogniser is not one of co-extension, (2) that cognition is a relational phenomenon and thereby has no location, and (3) that the individuality of a (...) cogniser is inevitably linked with the question of its autonomy, a question ignored by the extended mind hypothesis but for which the enactive approach proposes a precise, operational, albeit non-functionalist answer. The paper raises a pespective of embedded and intersecting forms of autonomous identity generation, some of which correspond to the canonical cases discussed in the extended mind literature, but on the whole of wider generality. In addressing these issues, this paper proposes unbiased, non-species specific definitions of cognition, agency and mediation, thus filling in gaps in the extended mind debates that have led to paradoxical situations and a problematic over-reliance on intutions about what counts as cognitive. (shrink)

Social factors have so far been neglected in embodied theories of perception despite the wealth of phenomenological insights and empirical evidence indicating their importance. I examine evidence from developmental psychology and neuroscience and attempt an initial classification according to whether social factors play a contextual, enabling, or constitutive role in the ability to perceive objects in a detached manner, i.e. beyond their immediate instrumental use. While evidence of cross-cultural variations in perceptual styles and the influence of social cues on visual (...) attention could not be said to play more than a contextual role, other factors such as the intricate developmental links between dyadic and triadic interactions in infancy, as well as episodes of peer-learning in children, play enabling roles. A common element in these factors is the presence and resolution of interpersonal conflict. Detached object perception could not develop without these social factors. I argue, in addition, that social skills such as managing partial social acts which are addressed to and completed by others, linguistic mediation, makebelieve play, and the ability to control perspectival switches are constitutive -- i.e. are of the essence -- of the ability to see objects as present with a detached attitude. I discuss the prospects of incorporating such social elements into dynamical interpretations of the sensorimotor approach through the enactive notion of participatory sense-making. (shrink)

Some modal expressions in language—for example, "can" and "able'"—describe what is possible in light of someone's abilities. Ability modals are obviously related to other modalities in language, such as epistemic or deontic modality, but also give rise to anomalies that make them unique. This paper develops a general theory of ability modals that is broadly compatible with standard modal semantics, while predicting their peculiar behavior. The central idea is that ability modals include reference to a notion of dependence. At the (...) level of truth conditions, "S is able to A" simply says that there is a circumstantially accessible world where S As. On top of this, a not-at-issue element requires that whether S As depends, in part, on intrinsic features of S. Differently from most analyses, this account divorces ability modals from a notion of agency. (shrink)

Suppose you’re certain that a claim—say, ‘Frida is tall’—does not have a determinate truth value. What attitude should you take towards it? This is the question of the cognitive role of indeterminacy. This paper presents a puzzle for theories of cognitive role. Many of these theories vindicate a seemingly plausible principle: if you are fully certain that A, you are rationally required to be fully certain that A is determinate. Call this principle ‘Certainty’. We show that Certainty, in combination with (...) some minimal side premises, entails a very implausible claim: whenever you’re certain that it’s indeterminate whether A, it is rationally required that you reject A. This is a surprising result, which requires abandoning at least some intuitive views about indeterminacy and cognitive role. (shrink)

Quine is one of the most influential of contemporary philosophers, whose work has ranged broadly across a great number of topics and issues in a career spanning some fifty years. In this collection a group of distinguished philosophers offer a sustained critical evaluation of the full range of Quine's writings. Amongst the topics addressed are interpretation, epistemology, ontology, modality, and mathematical truth. This collection will certainly influence all future discussion of Quine. The contributors include: George Boolos, H-N. Castaneda, Donald Davidson, (...) Umberto Eco, Dagfinn Follesdal, James Higginbotham, Charles Parsons, Hilary Putnam, Barry Stroud, and Bas van Fraassen. However, Quine is given the last word, responding to the essays in the final contribution. (shrink)

Suppose that, yesterday at noon, Maria considered flipping a fair coin, but didn't. What probability do you assign to "If Maria had flipped the coin, the coin would have landed heads"? Now suppose that, contrary to fact, Maria did indeed flip the coin. In that counterfactual scenario, what is the probability of "The coin will land tails"? The two questions sound strikingly similar. I argue that they sound similar because they are equivalent. The chance of a counterfactual "If A, would (...) C" equals the chance of C, in the counterfactual scenario that A (and a similar principle holds for credence). This principle does better than similar principles that have been defended (like Skyrms' Thesis), avoids triviality, and gives us important clues for a semantics for counterfactuals. (shrink)

‘Who argues what’ bears a certain relevance in relation to what is being argued. We are entitled to know those personal circumstances which play a significant role in relation to the argument one supports, so that we can take those circumstances into consideration when evaluating their argument. This is why journals have conflict of interest declarations, and why we value reflexivity in the social sciences. We also often perform double-blind peer review. We recognise that the evaluation of certain statements of (...) fact or value can, and sometimes ought to, be independent of any reference to their authors. Jecker et al argue that we have reasons to prioritise justice concerns over the existential risk (X-Risk) posed by artificial intelligence (AI) as we transition towards more AI-centred societies, despite the warnings about X-Risk that come from the powerful voice of tech leaders, effective altruists and longtermists. Those powerful voices, Jecker et al argue, often have conflicts of interest and are not demographically or epistemically representative. Hence, we should deprioritise their concerns. I believe the opposite may be true. Even though warnings about X-Risk come from sources and in forms we may disagree with, we have reasons to …. (shrink)

We examine the question of material agency as raised in material engagement theory (MET). Insofar as MET tends to highlight the causal roles played by extra-bodily material flows in human practices, the term “material agency” does not sufficiently distinguish cases in which these flows are part of an agentive engagement from cases in which they are not. We propose an operational criterion to effect such a distinction. We claim this criterion is organizational, i.e., systemic, and not causal. In the enactive (...) account, agency requires three organizational conditions: self-individuation, interactional asymmetry, and normativity. These conditions can have organic, sensorimotor, and sociomaterial realizations. The dance of human productive practices is indeed spread between brains, bodies, and the world, as MET claims, but it is distributed in an organized manner that involves constraints and norms at various scales. We put forward a relational and non-anthropocentric perspective toward an enactive approach to productive practices. We discuss some aspects of agentive ensembles rendered more intelligible by our proposal, including incorporation, soft assembly and non-decomposability, and the grounding of teleology normative processes at multiple scales. In this manner, we seek to continue the dialog between MET and enactive theory, beginning with the view that a situated system must realize certain minimal organizational conditions to be called an _agent_. (shrink)

Heinrich Behmann (1891-1970) obtained his Habilitation under David Hilbert in Göttingen in 1921 with a thesis on the decision problem. In his thesis, he solved - independently of Löwenheim and Skolem's earlier work - the decision problem for monadic second-order logic in a framework that combined elements of the algebra of logic and the newer axiomatic approach to logic then being developed in Göttingen. In a talk given in 1921, he outlined this solution, but also presented important programmatic remarks on (...) the significance of the decision problem and of decision procedures more generally. The text of this talk as well as a partial English translation are included. (shrink)

Pierre de Fermat is known as the inventor of modern number theory. He invented–improved many methods useful in this discipline. Fermat often claimed to have proved his most difficult theorems thanks to a method of his own invention: the infinite descent. He wrote of numerous applications of this procedure. Unfortunately, he left only one almost complete demonstration and an outline of another demonstration. The outline concerns the theorem that every prime number of the form 4n + 1 is the sum (...) of two squares. In this paper, we analyse a recent proof of this theorem. It is interesting because: it follows all the elements of which Fermat wrote in his outline; it represents a good introduction to all logical nuances and mathematical variants concerning this method of which Fermat spoke. The assertions by Fermat will also be framed inside their historical context. Therefore, the aims of this paper are related to the history of mathematics and to the logic of proof-methods. (shrink)

It is reported that in reply to John Wisdom’s request in 1944 to provide a dictionary entry describing his philosophy, Wittgenstein wrote only one sentence: “He has concerned himself principally with questions about the foundations of mathematics”. However, an understanding of his philosophy of mathematics has long been a desideratum. This was the case, in particular, for the period stretching from the Tractatus Logico-Philosophicus to the so-called transitional phase. Marion’s book represents a giant leap forward in this direction. In the (...) preface, Marion provides a diagnosis for why it has taken such a long time to obtain an accurate picture of Wittgenstein’s ideas in the foundations of mathematics. When the Remarks on the Foundations of Mathematics came out in 1956 the reception by specialists, such as Kreisel, was negative. This led many Wittgenstein scholars to set aside the issues in the foundations of mathematics and go on with the business of the day, focusing on Wittgenstein’s philosophy of language and psychology. However, these early negative appraisals were severely limited by two facts. First of all, the nature of the Remarks was a hindrance to an understanding of what Wittgenstein was up to. The book was edited by Wittgenstein’s literary executors by collating together passages from several manuscripts dating from 1937 to 1944, cutting, however, many passages in between remarks. Second, many of the original manuscripts and typescripts of the transitional phase were not available and thus it was virtually impossible to obtain a balanced picture of Wittgenstein’s development. Finally, a stark contraposition between the early and late Wittgenstein did not encourage people to work seriously on the development of Wittgenstein’s position from the Tractatus through the transitional period to the later writings. (shrink)

After giving a brief overview of the renewal of interest in logic and the foundations of mathematics in Göttingen in the period 1914-1921, I give a detailed presentation of the approach to the foundations of mathematics found in Behmann's doctoral dissertation of 1918, Die Antinomie der transfiniten Zahl und ihre Auflösung durch die Theorie von Russell und Whitehead. The dissertation was written under the guidance of David Hilbert and was primarily intended to give a clear exposition of the solution to (...) the antinomies as found in Principia Mathematica. In the process of explaining the theory of Principia, Behmann also presented an original approach to the foundations of mathematics which saw in sense perception of concrete individuals the Archimedean point for a secure foundation of mathematical knowledge. The last part of the paper points out an important numbers of connections between Behmann's work and Hilbert's foundational thought. (shrink)

_An examination of the philosophical notion of sacrifice from Kant to Nietzsche._.

This article explores the concept of landscape through the lens of performativity, challenging the traditional visual-centric understanding rooted in Western art and culture but without denying the visual and representational character of landscape. It examines the evolution of landscape representation, from its origins in linear perspective and Cartesian dualism to contemporary approaches that integrate performative practices. The analysis highlights the dialectical tension between visual representation and immersive, multisensory experiences, arguing for a more integrated view that acknowledges the performative aspects of (...) the visual. By re-evaluating the role of distance, vision, and representation, the article advocates for a nuanced understanding of landscape that balances the visual with embodied practices, ultimately proposing that landscape should be seen as a dynamic interplay between seeing and performing. (shrink)

The aim of the paper is to discuss the influence exercised by Russell's thought inGöttingen in the period leading to the formulation of Hilbert's program in theearly twenties. I show that after a period of intense foundational work, culminatingwith the departure from Göttingen of Zermelo and Grelling in 1910 we witnessa reemergence of interest in foundations of mathematics towards the end of 1914. Itis this second period of foundational work that is my specific interest. Through theuse of unpublished archival sources (...) I will describe how Hilbert, Behmann, and Bernays,among others, were influenced by and reacted to the technical and philosophical thesespresented in Principia Mathematica. I also argue that there are some elements of continuity between Russell's approach and Hilbert's program as it was presented inthe early twenties. (shrink)

The aim of this article is to understand an important passage in the history of the sciences of the psyche: starting from the psychiatric problematization — and the consequent emergence — of the concept and the object called ‘sexuality’ in the second half of the 19th century, it attempts to show a series of continuities and discontinuities between this kind of reasoning and the birth of psychoanalysis in the first years of the 20th century. The particular focus is therefore directed (...) on two texts: Krafft-Ebing’s Psychopathia Sexualis and Freud’s Three Essays on the Theory of Sexuality. The argument runs along three intertwined axes: (1) an historico-epistemological analysis of the concepts and their transformations in the field of the science of sexuality; (2) an analysis of the power relationships between patients and physicians; and (3) an account of the psychiatric technologies of the self that have as an effect the emergence of new forms of ‘objective’ knowledge of the subject. The broader goal is to trace a map of the simultaneous and correlate coming into being and transformations both of new forms of objects and of new forms of subjects through the mediation of scientific concepts and techniques. (shrink)

A recent article of Chernikov, Hrushovski, Kruckman, Krupinski, Moconja, Pillay, and Ramsey finds the first examples of simple structures with formulas which do not fork over the empty set but are universally measure zero. In this article we give the first known simple $\omega $ -categorical counterexamples. These happen to be various $\omega $ -categorical Hrushovski constructions. Using a probabilistic independence theorem from Jahel and Tsankov, we show how simple $\omega $ -categorical structures where a formula forks over $\emptyset $ (...) if and only if it is universally measure zero must satisfy a stronger version of the independence theorem. (shrink)

The late Emanuele Severino (1929–2020) was an Italian philosopher whose work on Aeschylus has not yet been made available in English. In Il giogo: alle origini della ragione: Eschilo (The Yoke: At the Origins of Reason: Aeschylus, 1989), Severino seeks to demonstrate that Aeschylus belongs amongst the founders of philosophy, i.e., that Aeschylus was the first to set down some of philosophy’s most fundamental principles, including that ontological becoming produces unbearable suffering and that the only remedy to suffering is knowledge (...) of the truth. Thus, by introducing readers to Severino’s interpretation, and by translating various passages of his work, this article aims to enlarge Severino’s readership and spread his argument for the philosophical stature of Aeschylus. (shrink)

In this paper we extend to various classes of subreducts of hoops some results about splitting algebras. In particular we prove that every finite chain in the purely implicational fragment of basic hoops is splitting and that every finite chain in the \ fragment of hoops is splitting. We also produce explicitly the splitting equations in most cases.

Martin Heidegger and Emanuele Severino reflected on the meaning of technology more than anyone else in the twentieth century. Their philosophies are irreconcilable. They converge on this simple recognition and its implications: techno‐science dominates our time. But they disagree even on the interpretation of this domination. Exploring this disagreement will help us understand the leading dynamics of our civilization. Therefore, the intention in this paper is to unveil, for English speakers, the value of Severino’s philosophy in relation to Heidegger and (...) the meaning technology. We will see that, ultimately, their disagreement concerns the originary truth of Being and has repercussions on how they conceptualize technology and the possibility of redemption from it. Heidegger indicated the letting‐be of beings in their freedom as the possible path beyond technology. Severino saw Heidegger’s indication as destined to remain trapped in technology itself. If we understand why this was so – from Severino’s point of view – this may open a new path for us: the path of day, the path that may truly lead beyond technology. The aim of this paper is, finally, to indicate one reason why delving into Severino’s works is truly worthwhile: if it is possible for the truth to unveil itself beyond willing – where Heidegger couldn’t see – then Severino’s works may the place where this possibility appears in coherent conceptual form. (shrink)

We review several of de Finetti’s fundamental contributions where these have played and continue to play an important role in the development of imprecise probability research. Also, we discuss de Finetti’s few, but mostly critical remarks about the prospects for a theory of imprecise probabilities, given the limited development of imprecise probability theory as that was known to him.

We will discuss a mathematical proof found in Wittgenstein’s Nachlass, a constructive version of Euler’s proof of the infinity of prime numbers. Although it does not amount to much, this proof allows us to see that Wittgenstein had at least some mathematical skills. At the very last, the proof shows that Wittgenstein was concerned with mathematical practice and it also gives further evidence in support of the claim that, after all, he held a constructivist stance, at least during the transitional (...) period of his thought (1929-33). (shrink)

The aim of this article is to shed light on an understudied aspect of Giordano Bruno's intellectual biography, namely, his career as a mathematical practitioner. Early interpreters, especially, have criticized Bruno's mathematics for being “outdated” or too “concrete”. However, thanks to developments in the study of early modern mathematics and the rediscovery of Bruno's first mathematical writings (four dialogues on Fabrizio's Mordente proportional compass), we are in a position to better understand Bruno's mathematics. In particular, this article aims to reopen (...) the question of whether Bruno anticipated the concept of infinitesimal quantity. It does so by providing an analysis of the dialogues on Mordente's compass and of the historical circumstances under which those dialogues were written. (shrink)

The intent we propose will be to retrace a few fundamental passages of the philosophical and metaphysical though of the Spanish philosopher, considering two conceptual pairs that refer to the question of res-realitas: constitutive respective / remittent respective, cosa-realidad / cosa-sentido.

In Umberto Eco's semiotics, the encyclopedia is a multidimensional space of semiosis. It is a complex system of shared knowledge that governs the production and interpretation of signs inside communicative contexts. Every semiotic act involves the elements that form the encyclopedia. By means of several examples and comparisons with different semiotic theories, my paper aims to show how semiosis is governed by semantic categorizations, pragmatic rules, and narrative frames that the encyclopedia articulates and makes operative for interpreters and producers of (...) signs. (shrink)

In 1959, the Charles Darwin Station and the Galápagos National Park were established, formally inaugurating conservation on the archipelago. In the same year, a utopian colony from the United States arrived. Whereas scholars have dismissed the latter and focused on the former, this essay unveils the science-inspired utopianism common to both enterprises. Investing science with the exclusive role of producing all knowledge and steering politics, leaders of the two initiatives aspired not only to protect nature but also to forge a (...) new humanity. Describing how such ambitions burst along lines of race, class, and nationality, I argue that these enterprises consolidated the current understanding of the Galápagos as “pristine”: a site fit for research and tourism but unhospitable to people. Drawing on archival and historical documents, this essay aims to reinvigorate two conversations: one between science and technology studies and conservation, and the other between STS and utopian studies. If recent attempts at bridging the divide between science and imagination have emphasized how powerful actors shape human society, this essay considers the long-lasting effects of scientific imaginaries on a politics of nature. (shrink)

We recorded Event-Related Potentials to investigate differences in the use of gender information during the processing of reflexive pronouns. Pronouns either matched the gender provided by role nouns (such as “king” or “engineer”) or did not. We compared two types of gender information, definitional information, which is semantic in nature (a mother is female), or stereotypical (a nurse is likely to be female). When they followed definitional role-nouns, gender-mismatching pronouns elicited a P600 effect reflecting a failure in the agreement process. (...) When instead the gender violation occurred after stereotypical role-nouns the Event Related Potential response was biphasic, being positive in parietal electrodes and negative in anterior left electrodes. The use of a correlational approach showed that those participants with more “feminine” or “expressive” self sex-role descriptions showed a P600 response for stereotype violations, suggesting that they experienced the mismatch as an agreement violation; whereas less “expressive” participants showed an Nref effect, indicating more effort spent in linking the pronouns with the possible, although less likely, counter-stereotypical referent. (shrink)

The study of the neuroscience and genomics of mental illness are increasingly intertwined. This is mostly due to the translation of medical technologies into psychiatry and to technological convergence. This article focuses on psychosis. I argue that the convergence of neuroscience and genomics in the context of psychosis is morally problematic, and that ethics scholarship should go beyond the identification of a number of ethical, legal, and social issues. My argument is composed of two strands. First, I argue that we (...) should respond to technological convergence by developing an integrated, patient-centred approach focused on the assessment of individual vulnerabilities. Responding to technological convergence requires that we integrate insights from several areas of ethics, translate bioethical principles into the mental health context, and proactively try to anticipate future ethical concerns. Second, I argue that a nuanced understanding of the concept of vulnerability might help us to accomplish this task. I borrow Florencia Luna’s notion of ‘layers of vulnerability’ to show how potential harms or wrongs to individuals who experience psychosis can be conceptualised as stemming from different sources, or layers, of vulnerability. I argue that a layered notion of vulnerability might serve as a common ground to achieve the ethical integration needed to ensure that biomedical innovation can truly benefit, and not harm, individuals who suffer from psychosis. (shrink)

This paper aims to foster an interdisciplinary dialogue between Ricoeur’s phenomenological- hermeneutical thought and human geography, in particular with respect to the issue of landscape interpretation. The connection draws on the idea that landscapes and lived spaces can be read as texts, not unfamiliar to human geography and semiotics from 1980s onward. In the first part of the paper I will briefly expound some theories of landscape which make use of the metaphors “landscape as cultural image” and “landscape as text” (...) in human and cultural geography. Then, I will discuss the main contribution of Ricoeur to the issue of space. The philosopher already envisioned a possible application of his “threefold mimesis” of Time and Narrative to architectural spaces. In the conclusion, I will propose to rejuvenate the geographical metaphor of “landscape as text” by introducing a possible application of the Ricoeurian notion of “meaningful action as text” to landscape. (shrink)

In many countries, life expectancy has increased considerably in past years, and the importance of finding ways to ensure good levels of wellbeing through aging has become more important than ever. Arts based interventions are promising in this respect, and the literature suggests that musical activities can reduce isolation and anxiety and foster feelings of achievement and self-confidence. The present study examined the effects of group music making programs on the health and wellbeing of nursing home residents in Southern Switzerland. (...) A team of professional and student musicians delivered 10 weekly music sessions in four nursing homes, focusing on singing, rhythm-based activities with percussion instruments, and listening to short, live performances. 22 participants (16 women and 6 men, aged 72-95 years, mean 83.6, SD ± 6.9) were recruited to take part in the study and were interviewed after the last music session. The data were analyzed with thematic analysis to investigate how residents experienced group music making and its effects. The findings show that the music programs were beneficial for residents’ wellbeing. Music plays an important role in their lives, both in their pasts and presently, and being involved in musical activities offers engagement and novelty in daily life, providing learning opportunities and facilitating interpersonal relationships. Moreover, these results were due to interactions with the musicians involved. Residents particularly appreciated the opportunity to listen to live performances as part of the sessions. This study suggests that nursing home residents value music and that music based interventions play an important and direct role in enhancing their wellbeing. (shrink)

Companies faced with a crisis sometimes blame others in their communications, when they feel that responsibility for the negative event lies elsewhere. Research has argued that stakeholders often react negatively to this type of message, because they perceive them as an unfair attempt to deny responsibility. In four experiments, examining blame directed at an employee and a supplier, we complement existing research by demonstrating that blame-giving messages can be persuasive in certain circumstances. Blame-giving communications can improve perceptions of firm ethicality (...) more than apologies or an absence of corporate communication. This effect, in turn, reduces negative word-of-mouth intentions. The study identifies several boundary conditions for this effect. For blame-giving to be effective, a credible third party needs to identify who is responsible for wrongdoing, and the company needs to use vivid communication with detailed information about the culprit. Furthermore, blame-giving can backfire: when stakeholders doubt the company’s honesty, this type of messaging is seen as manipulative. The study contributes to a developing research stream on the relative effectiveness of different types of crisis communications by demonstrating that, in certain circumstances, blame-giving messages are more persuasive than apologies. Moreover, our analysis offers guidelines on how to design these messages to make them acceptable to stakeholders. (shrink)

In this paper, I propose the idea that the French mathematician Michel Chasles developed a foundational programme for geometry in the period 1827–1837. The basic concept behind the programme was to show that projective geometry is the foundation of the whole of geometry. In particular, the metric properties can be reduced to specific graphic properties. In the attempt to prove the validity of his conception, Chasles made fundamental contributions to the theory of polarity and also understood that a satisfactory development (...) of projective geometry has to overcome the specificity of that theory itself. In this perspective, he developed his ideas on duality and homography, showing their dependence on the concept that he was going to pose at the basis of geometry: the anharmonic ratio, today called cross-ratio. The conceptual itinerary that starts from Chasles’ studies on polarity and ends with his results based on the cross-ratio represents the itinerary of his foundational programme. I will follow this complex and interesting line of thought, place it in the context of what was then called descriptive geometry, and outline a connection with the later great results of Von Staudt, Cayley, and Klein. (shrink)

The paper aims to describe the stakes of a Nietzschean influence on Deleuze's reflections on the transcendental and conversely to highlight the Deleuzian operation of politicising Nietzsche by ‘minorising’ him. In order to further understand such a complex relationship of becoming between Deleuze and Nietzsche, the first objective of the paper is to focus on active and reactive forces, which seem to be the core of this very relation. Thus, the paper suggests that micropolitics has its conditions of possibility in (...) the Nietzschean corpus and, in particular, in the symptomatology of decadence, resentment and nihilism. In this sense, now the title of the paper reveals its meaning: the whole Deleuzian operation could be summarised as the passage from the criticism and questioning of an image of Nietzsche ‘forbidden to minors’, typical of the interpretations of the first half of the twentieth century, to a becoming-minor of these very same Nietzschean concepts. It is precisely through such a becoming-minor that Nietzsche's diagnosis and concepts are translated in a political and emancipatory key, in order to give power to minorities. (shrink)

Using web standards, such as uniform resource identifiers (URIs), XML and HTTP, for naming and describing resources which are not information objects is the key difference between the Web as we know it today and the Semantic Web. Naming and interlinking this type of resources by HTTP URIs (instead of individual constants in a formal language) is the key feature which distinguishes traditional knowledge representation from web-scale knowledge representation. However, this use of URIs brought back attention to the old philosophical (...) problem of identity and reference in a new form. In this paper, we analyze the new version of the problem, provide a formal model for dealing with it when interlinking knowledge on the Web, and argue for the need of a distinction between the use of URIs for describing and accessing resources, and the use of URIs for fixing the reference . We show that in the current practice of linking data these roles are not clearly distinguished, and that this fact may cause unwanted effects and prevent some basic forms of data integration. We also discuss the role of an entity name system as a potential piece of infrastructure for fixing the reference in the Semantic Web. (shrink)