Several different versions of the theory of numerosities have been introduced in the literature. Here, we unify these approaches in a consistent frame through the notion of set of labels, relating numerosities with the Kiesler field of Euclidean numbers. This approach allows us to easily introduce, by means of numerosities, ordinals and their natural operations, as well as the Lebesgue measure as a counting measure on the reals.

Eco-cognitive computationalism considers computation in context, following some of the main tenets advanced by the recent cognitive science views on embodied, situated, and distributed cognition. It is in the framework of this eco-cognitive perspective that we can usefully analyze the recent attention in computer science devoted to the importance of the simplification of cognitive and motor tasks caused in organic entities by the morphological features: ignorant bodies can be domesticated to become useful “mimetic bodies”, that is able to render an (...) intertwined computation simpler, resorting to that “simplexity” of animal embodied cognition, which represents one of the main quality of organic agents. Through eco-cognitive computationalism we can clearly acknowledge that the concept of computation changes, depending on historical and contextual causes, and we can build an epistemological view that illustrates the “emergence” of new kinds of computations, such as the one regarding morphological computation. This new perspective shows how the computational domestication of ignorant entities can originate new unconventional cognitive embodiments. In the last part of the article I will introduce the concept of overcomputationalism, showing that my proposed framework helps us see the related concepts of pancognitivism, paniformationalism, and pancomputationalism in a more naturalized and prudent perspective, avoiding the excess of old-fashioned ontological or metaphysical overstatements. (shrink)

A U-shaped curve in a cognitive-developmental trajectory refers to a three-step process: good performance followed by bad performance followed by good performance once again. U-shaped curves have been observed in a wide variety of cognitive-developmental and learning contexts. U-shaped learning seems to contradict the idea that learning is a monotonic, cumulative process and thus constitutes a challenge for competing theories of cognitive development and learning. U-shaped behavior in language learning (in particular in learning English past tense) has become a central (...) topic in the Cognitive Science debate about learning models. Antagonist models (e.g., connectionism versus nativism) are often judged on their ability of modeling or accounting for U-shaped behavior. The prior literature is mostly occupied with explaining how U-shaped behavior occurs. Instead, we are interested in the necessity of this kind of apparently inefficient strategy. We present and discuss a body of results in the abstract mathematical setting of (extensions of) Gold-style computational learning theory addressing a mathematically precise version of the following question: Are there learning tasks that require U-shaped behavior? All notions considered are learning in the limit from positive data. We present results about the necessity of U-shaped learning in classical models of learning as well as in models with bounds on the memory of the learner. The pattern emerges that, for parameterized, cognitively relevant learning criteria, beyond very few initial parameter values, U-shapes are necessary for full learning power! We discuss the possible relevance of the above results for the Cognitive Science debate about learning models as well as directions for future research. (shrink)

In Part I of this paper, we identified and compared various schemes for trivalent truth conditions for indicative conditionals, most notably the proposals by de Finetti and Reichenbach on the one hand, and by Cooper and Cantwell on the other. Here we provide the proof theory for the resulting logics DF/TT and CC/TT, using tableau calculi and sequent calculi, and proving soundness and completeness results. Then we turn to the algebraic semantics, where both logics have substantive limitations: DF/TT allows for (...) algebraic completeness, but not for the construction of a canonical model, while CC/TT fails the construction of a Lindenbaum-Tarski algebra. With these results in mind, we draw up the balance and sketch future research projects. (shrink)

Angelaki, Volume 16, Issue 3, Page 163-180, September 2011.

This paper analyses Agamben’s notion of homo sacer, showing how it should not be confined to the field of a negative critique of biopolitics. In his work, Agamben cautiously delineates a positive figure of homo sacer, whom, according to him, we all virtually are. Such figure would be able to subvert the form in which the relation between bare life and political existence has so far been both thought and lived in the West. How and when is this passage from (...) negative to positive sacredness historically accomplished for Agamben? Is such transit after all thinkable? These are the two basic questions he both unintentionally formulates and leaves undecided in his book Homo Sacer . Agamben further elaborates his investigation of biopolitics in the book he dedicates to Saint Paul, The Time That Remains . Chiesa suggests that, in this volume, the figure of homo sacer as earthly hero is transposed onto that of the messianic man. This can only be achieved by means of a detailed Christian—and more specifically Franciscan—development of the ontological notion of ‘form of life’. Problematically enough, Agamben is able to carry out a transvaluation of biopolitics only in the guise of a bio-theo-politics. (shrink)

How many notions of cause are there? The causality literature is witnessing a flourishing of pluralist positions. Here I focus on a recent debate on whether interpreting causality in terms of inferential relations commits one to semantic pluralism (Reiss 2011) or not (Williamson 2006). I argue that inferentialism is compatible with a ‘weak’ form of monism, where causality is envisaged as one, vague cluster concept. I offer two arguments for this, one for vagueness, one for uniqueness. Finally, I qualify in (...) what sense the resulting form of monism is ‘weak’.¿Cuántas nociones de causa hay? Hay un resurgir de posiciones pluralistas en la bibliografía sobre causalidad. Me ocuparé aquí de un debate reciente sobre si la interpretación de la causalidad en términos de relaciones inferenciales nos compromete con el pluralismo semántico (Reiss 2011) o no (Williamson 2006). Defiendo que el inferencialismo es compatible con una forma ’debil’ de monismo, donde la causalidad se presenta como un único concepto vago y de agrupación (cluster). Ofrezco para ello dos argumentos, uno sobre vaguedad y otro sobre unicidad. Finalmente, matizaré en qué sentido esta forma demonismo es ’débil’. (shrink)

The axiom of dependent choice ( $\mathsf {DC}$ ) and the axiom of countable choice ( ${\mathsf {AC}}_\omega $ ) are two weak forms of the axiom of choice that can be stated for a specific set: $\mathsf {DC} ( X )$ asserts that any total binary relation on X has an infinite chain, while ${\mathsf {AC}}_\omega ( X )$ asserts that any countable collection of nonempty subsets of X has a choice function. It is well-known that $\mathsf {DC} \Rightarrow (...) {\mathsf {AC}}_\omega $. We study for which sets and under which hypotheses $\mathsf {DC} ( X ) \Rightarrow {\mathsf {AC}}_\omega ( X )$, and then we show it is consistent with $\mathsf {ZF}$ that there is a set $A \subseteq \mathbb {R}$ for which $\mathsf {DC} ( A )$ holds, but ${\mathsf {AC}}_\omega ( A )$ fails. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The World Of Desire:Lacan Between Evolutionary Biology and Psychoanalytic TheoryLorenzo Chiesa (bio)The primary aim of this paper is to analyse the biological foundations of Lacan's notion of desire as expounded in his first two Seminars (1953-1955). These works provide us with his most detailed discussion of the species-specific preconditions that allow Homo sapiens to speak and establish symbolic pacts among individuals. Despite its irreducibility to the domain of animal (...) instincts, human desire can only be adequately understood against the background of an evolutionary enquiry on the emergence of language, one that problematises both the implicit teleological assumptions of a certain Darwinism and the logical consistency of an investigation of origins. Drawing on organic and anatomical evidence endorsed by natural scientists as different as Stephen Jay Gould and Adolf Portmann, Lacan postulates a primordial biological discord between man and his environment, centred on premature birth and a subsequent disorder of the imagination, from which language and the Symbolic immanently arise.1 Desire is seen in this context as coextensive with what, especially in Seminar I, Lacan repeatedly refers to as "the world of the symbol," or "the symbolic world"—a crucial phrase, rich with philosophical implications, to which critics have not yet [End Page 200] paid sufficient attention.2 The most important point to be grasped here is that the symbolic order is a world in the sense that, in always presenting itself to man as a totality, a uni-verse, it compensates for the failure of a strictly 'natural' relationship between man as animal and his environment. Yet, in performing this function, the Symbolic also amounts to nothing other than 'human nature' tout-court.3 In other words, the Symbolic is an exceptional and to a certain extent autonomous pseudo-environment that must nevertheless be interpreted by means of biological concepts.4 For this reason, the very opposition between nature and culture is as such put into question and re-proposed at a different level.5Lacan's seminars and articles of the early to mid-1950s are usually read from the standpoint of the notions of 'empty' and 'full' speech in their relation to the Kojèvian dialectic of the recognition of desire. While not underestimating the importance of this first formulation of desire as desire of the other, I intend to dwell especially on its biological presuppositions, since Lacan will maintain them—often to the point of taking them for granted—even after abandoning the notions of 'empty' and 'full' speech. This will also enable me to show that the supposedly Hegelian Lacan of this period is already preoccupied with a materialist explanation of language and of human desire as desire for recognition, both of which are framed within the context of a virulent anti-teleological, anti-humanist, and anti-vitalist polemics.It is, however, paramount to pre-emptively specify that my new approach to Seminars I and II does not intend to deny the impasses of Lacan's early notion of desire as a desire for recognition, which I have thoroughly discussed in Subjectivity and Otherness.6 In brief, the problem with Lacan's appropriation of Kojève is that, at this stage, the mutual recognition of one's desire is identified with the subject's fully successful integration into the symbolic order. What is not sufficiently stressed in this way—yet not entirely overlooked—is the incompleteness of the latter, the fact that man's pseudo-environment presents itself as a totality only insofar as it is structurally not-all. The [End Page 201] elaboration of a meticulous theoretical distinction between need, demand, and desire carried out in Seminars IV and V, as well as a direct confrontation with the Real as the not-all of the Symbolic in Seminar VII, will later oblige Lacan to reconsider this harmonic view. By the early 1960s, full integration in the Symbolic will be explicitly regarded as impossible and the dialectic of desire will consequently be focused on the level of the subject's mapping of himself as falling onto the object of the repressed fantasy.IIAccording to Lacan, man is born prematurely, that is, with "foetalised traits,"7 which are especially... (shrink)

This collection provides English readers with a critical update on current debates on biopolitics in and around Italian thought. More than a decade after the publication of seminal books such as Agamben’s _Homo Sacer_ and Hardt and Negri’s _Empire_, the names of, among others, Roberto Esposito, Paolo Virno, Christian Marazzi, and Andrea Fumagalli have recently been brought to the attention of Anglophone scholars and political activists. Several authors have rightly emphasised the evanescent character of biopolitics, and the difficulty in providing (...) a definition of it that could embrace all the conflicting theories of its most celebrated critics and supporters. The present collection is structured around the basic contention that bio-economy, human nature, and Christianity are the three visible contemporary manifestations of the theoretical object/problem of biopolitics in, respectively, Italian post-workerist economics, post-Marxist philosophical anthropology, and post-structuralist ontology. This book was originally published as a special issue of _Angelaki_. (shrink)

In pediatric emergency rooms (ERs), social workers must navigate diverse responsibilities including acting as advocates and liaisons between families and multidisciplinary treatment teams, providing compassionate support to families in crisis, and assessing for and reporting any suspicions of child abuse or neglect. These potentially contrasting roles can place social workers at the center of dealing with ethical dilemmas and advocating against ethical violations, such as bias and discrimination toward families. This qualitative study seeks to gain insight into ethical issues commonly (...) encountered in pediatric ERs by exploring the perspectives of 23 social workers at Level 1 trauma centers in the United States. Thematic analysis was used to develop major themes and subthemes related to ethical violations, dilemmas, and best practices in pediatric ERs. Major themes emerged related to unfair treatment of families (with subthemes of bias, discrimination, and compassion fatigue), ethical dilemmas (with subthemes of cultural issues, safety and system issues), and promoting ethical practices (with subthemes of self-awareness, advocacy, and efforts to change the system). This study provides important insights into ethical issues in pediatric ERs as experienced by social workers and can inform efforts to improve the quality and equity of care for all families in pediatric ERs. (shrink)

Résumé — Le Dialogue sur le sujet de la divinité, publié en 1631 dans les Cinq autres Dialogues sceptiques de La Mothe Le Vayer, se nourrit d’un franc scepticisme et d’un naturalisme « à l’imitation des Anciens », et La Mothe, en disciple de Sextus, adopte une attitude « de philosophe ancien et payen in puris naturalibus ». Dans ce dialogue, axé sur le thème de la diversité des religions, émerge le fidéisme propre à La Mothe et à son écriture (...) « libertine ». S’il est difficile de voir dans ce dialogue l’expression d’un fidéisme sincère et convaincu ou la profession fidéiste d’un controversiste antiprotestant , on retrouve plutôt dans ces pages le scepticisme d’un libertin qui masque son incrédulité et ses doutes religieux par une prudente circonspection et par la soumission à l’autorité extérieure de la religion établie.— The Dialogue sur le sujet de la divinité, published by La Mothe Le Vayer in 1631 as one of the sceptical Cinq autres Dialogues, shows a scepticism and a naturalism derived from the classical philosophy : La Mothe is not only an admirer of Sextus Empiricus, but he also follows the attitude of « philosophe ancien et payen in puris naturalibus ». From this dialogue on the diversity between religions emerges the typical fideism of La Mothe and of his « libertine » writing. It is quite difficult to see in this dialogue the expression of a sincere fideism or the fideism of an antiprotestant controversist ; most probably these pages exhibit the scepticism of a free-thinker that dissimulates his disbelief and his doubts under the authority of the established religion. (shrink)

En el problema filosófico sobre la existencia de Dios se levanta, por la parte negativa, un famoso argumento, conocido ya y contestado desde antiguo, pero que algunos siguen exhibiendo triunfalmente como prueba irrecusable de ateísmo... Es de una forma u otra el argumento que se apoya en la existencia del mal.Pero son muy pocos los que han tomado la molestia de hacer un análisis racional de dicho argumento y de sus nada claras presuposiciones. Es lo que ahora vamos a intentar, (...) con la brevedad que impone este tipo de escritos y con la claridad que la dificultad misma del tema lo permita, aparte de la imbecilidad propia del autor.. (shrink)

We investigate a new paradigm in the context of learning in the limit, namely, learning correction grammars for classes of computably enumerable (c.e.) languages. Knowing a language may feature a representation of it in terms of two grammars. The second grammar is used to make corrections to the first grammar. Such a pair of grammars can be seen as a single description of (or grammar for) the language. We call such grammars correction grammars. Correction grammars capture the observable fact that (...) people do correct their linguistic utterances during their usual linguistic activities. We show that learning correction grammars for classes of c.e. languages in the TxtEx-model (i.e., converging to a single correct correction grammar in the limit) is sometimes more powerful than learning ordinary grammars even in the TxtBe-model (where the learner is allowed to converge to infinitely many syntactically distinct but correct conjectures in the limit). For each n ≥ 0, there is a similar learning advantage, again in learning correction grammars for classes of c.e. languages, but where we compare learning correction grammars that make n + 1 corrections to those that make n corrections. The concept of a correction grammar can be extended into the constructive transfinite, using the idea of counting-down from notations for transfinite constructive ordinals. This transfinite extension can also be conceptualized as being about learning Ershov-descriptions for c.e. languages. For u a notation in Kleene's general system $(O,\, < _o )$ of ordinal notations for constructive ordinals, we introduce the concept of an u-correction grammar, where u is used to bound the number of corrections that the grammar is allowed to make. We prove a general hierarchy result: if u and v are notations for constructive ordinals such that $u\, < _o \,v$ , then there are classes of c.e. languages that can be TxtEx-learned by conjecturing v-correction grammars but not by conjecturing u-correction grammars. Surprisingly, we show that— above "ω-many" corrections—it is not possible to strengthen the hierarchy: TxtEx-learning u-correction grammars of classes of c.e. languages, where u is a notation in O for any ordinal, can be simulated by TxtBe-learning ω-correction grammars, where ω is any notation for the smallest infinite ordinal ω. (shrink)

Is what psychoanalysis calls the ‘absence of the sexual relationship’ the basic transcendental invariant of the speaking animal? Or should it be understood as a historical product? Also, assuming that language is structurally incomplete, and therefore that Homo sapiens cannot avoid the dialectic of semblance and truth, does this necessarily entail that the absence of meta-language always correspond to the absence of the sexual relationship? In this article I will show how, in his Seminars of the late 1960s and early (...) 1970s, Lacan develops two different narratives. (shrink)

This book investigates the problem of patriarchy in modern social contract theories by analyzing the concept of "sexual contract" from Thomas Hobbes to Immanuel Kant. It sheds light on both the genesis and the logic of patriarchal relations in modern culture.

The present contribution describes the nature of social practices based on habitual behavior. The first part concerns the notion of “habit” from a perspective that crosses philosophy and science. Habits structure our daily life and possess a social nature, as shown by informally shared habits and institutionalized rituals. After a brief reference to the philosophical debate, we point out the fundamental dimensions of habitual behavior, i.e., routine and goal-directed behavior. They also characterize shared social habits like rituals because we need (...) to: (a) simply follow social institutional practices and (b) actively cooperate to reach a certain goal. Our descriptive strategy aims at promoting the aspect of “control” in habitual behavior, namely, the possibility of accepting or refusing to do something. This control does not work in many pathological cases and cases of auto-illusion. The second part of the article will illustrate the interesting but disregarded case of the epistemic and moral embubblement, explaining it as an individual cognitive process and as a specific social practice that once followed or institutionalized becomes a shared practice routinely performed. The main features of an epistemic bubble concern the widespread situation in which the cognitive agents always resolve the tension between their thinking that they know _P_ and their knowing _P_ in favor of knowing that _P_”. The related case of the moral bubble indicates the situation in which agents are potentially or actually violent and unaware of it. This cognitive process expresses how difficulties in recognizing one’s own violence leads to disregarding the possible or actual inflicted harm: in this case, a process of what can be called “autoimmunity” is at play. We will contend that the concept of moral bubble can provide an integrated and unified perspective able to interpret in a novel way many social practices in which morality and violence are intertwined. (shrink)

This is the first dedicated commentary to Sextus Empiricus’ treatise _Against the Arithmeticians_, dealing with crucial issues in the history of the sceptical, Platonic and Pythagorean traditions and in the ancient philosophy of mathematics.

This book aims to develop the tradition of philosophical hermeneutics, the theoretical account of interpretive (as opposed to explanatory) understanding--the account of meanings and contexts rather than causes and predictions--usually restricted to the domain of literary and textual analysis, in new directions by exploiting its potential as an instrument of critique. It refutes commonly held claims that hermeneutic analyses are necessarily relativistic, Eurocentric, or critically impotent and demonstrates how hermeneutic procedures can inform analyses of urgent current and cross-cultural issues such (...) as the biology of race, female genital excision, and the so-called "culture of poverty" thesis. Lorenzo Simpson demonstrates that a robust methodology of philosophical hermeneutics is well positioned to intervene in critical political and social issues in global ethics and justice in concert with critical theory's emancipatory aims. (shrink)

The technological advances of contemporary society have outpaced our moral understanding of the problems that they create. How will we deal with profound ecological changes, human cloning, hybrid people, and eroding cyberprivacy, just to name a few issues? In this book, Lorenzo Magnani argues that existing moral constructs often cannot be applied to new technology. He proposes an entirely different ethical approach, one that blends epistemology with cognitive science. The resulting moral strategy promises renewed dignity for overlooked populations, both (...) of today and of the future. (shrink)

This essay seeks to give a contractarian foundation to the concept of Corporate Social Responsibility, meant as an extended model of corporate governance of the firm. It focuses on justification according to the contractarian point of view. It begins by providing a definition of CSR as an extended model of corporate governance, based on the fiduciary duties owed to all the firm's stakeholders. Then, by establishing the basic context of incompleteness of contracts and abuse of authority, it analyses how the (...) extended view of corporate governance arises directly from criticism of the contemporary neo-institutional economic theory of the firm. Thereafter, an application of the theory of bargaining games is used to deduce the structure of a multi-stakeholder firm, on the basis of the idea of a constitutional contract, which satisfies basic requirements of impartial justification and accordance with intuitions of social justice. This is a sequential model of constitutional bargaining, whereby a constitution is first chosen, and then a post-constitutional coalition game is played. On the basis of the unique solution given to each step in the bargaining model, the quest for a prescriptive theory of governance and strategic management is accomplished, so that I am able to define an objective-function for the firm consistent with the idea of CSR. Finally, a contractarian potential explanation for the emergence of the multi-fiduciary firm is provided. (shrink)

As humanity becomes increasingly interconnected through globalization, the question of whether community is possible within culturally diverse societies has returned as a principal concern for contemporary thought. Lorenzo Simpson charges that the current discussion is stuck at an impasse-between postmodernism's fragmented notions of cultural difference and humanism's homogeneous versions of community. Simpson proposes an alternative-one that bridges cultural differences without erasing them. He argues that we must establish common aesthetic and ethical standards incorporating sensitivity to difference if we are (...) to achieve cross-cultural understanding. (shrink)