The purpose of this note is to contrast a Cantorian outlook with a non-Cantorian one and to present a picture that provides support for the latter. In particular, I suggest that: i) infinite hyperreal numbers are the (actual, determined) infinite numbers, ii) ω is merely potentially infinite, and iii) infinitesimals should not be used in the di Finetti lottery. Though most Cantorians will likely maintain a Cantorian outlook, the picture is meant to motivate the obvious nature of the (...) non-Cantorian outlook. (shrink)

De Finetti would claim that we can make sense of a draw in which each positive integer has equal probability of winning. This requires a uniform probability distribution over the natural numbers, violating countable additivity. Countable additivity thus appears not to be a fundamental constraint on subjective probability. It does, however, seem mandated by Dutch Book arguments similar to those that support the other axioms of the probability calculus as compulsory for subjective interpretations. These two lines of reasoning can (...) be reconciled through a slight generalization of the Dutch Book framework. Countable additivity may indeed be abandoned for de Finetti's lottery, but this poses no serious threat to its adoption in most applications of subjective probability. Introduction The de Finetti lottery Two objections to equiprobability 3.1 The ‘No random mechanism’ argument 3.2 The Dutch Book argument Equiprobability and relative betting quotients The re-labelling paradox 5.1 The paradox 5.2 Resolution: from symmetry to relative probability Beyond the de Finetti lottery. (shrink)

In a recent paper, Sylvia Wenmackers and Leon Horsten discuss how the concept of a fair infinite lottery can best be extended to denumerably infinite lotteries. Their paper uses and builds on the alpha-theory of Vieri Benci and Mauro Di Nasso. The purpose of this paper is to demonstrate a potential problem for alpha-theory.

The lottery and preface paradoxes pose puzzles in epistemology concerning how to think about the norms of reasonable or permissible belief. Contextualists in epistemology have focused on knowledge ascriptions, attempting to capture a set of judgments about knowledge ascriptions and denials in a variety of contexts (including those involving lottery beliefs and the principles of closure). This article surveys some contextualist approaches to handling issues raised by the lottery and preface, while also considering some of the difficulties (...) encountered by those approaches. (shrink)

The absence of an English translation of Gonzaga's writings, both as a whole and separately, , inspired me to undertake it with the aim of making it more accessible to the public. If I were to talk briefly about the outline, the first original French version of the text appears as an anonymous author's work. In that first version signed by Sir Thomas Witth whom nothing is known about, Gonzaga doesn’t appear. His name hadn’t been appearing in the first booklet (...) for seven years until it appeared as translator in the 1807 version. Researchers concur that this was actually a trick which Gonzaga has been hiding behind because he probably never had the courage to introduce himself as the author. It is claimed that it has been conducted a lot of research in order to recover the text of Sir Thomas Witth or other possible authors with a similar name but any satisfactory solution to the riddle has not yet been given. Regarding historical data carried out during my research, I would like to offer my opinion that there is the Scottish philosophy of Common Sense hidden behind this pseudonym which deserves attention. (shrink)

To resolve the lottery paradox, the “no-justification account” proposes that one is not justified in believing that one's lottery ticket is a loser. The no-justification account commits to what I call “the Harman-style skepticism”. In reply, proponents of the no-justification account typically downplay the Harman-style skepticism. In this paper, I argue that the no-justification reply to the Harman-style skepticism is untenable. Moreover, I argue that the no-justification account is epistemically ad hoc. My arguments are based on a rather (...) surprising finding that the no-justification account implies that people living in Taiwan typically suffer from the Harman-style skepticism. (shrink)

I review recent empirical findings on knowledge attributions in lottery cases and report a new experiment that advances our understanding of the topic. The main novel finding is that people deny knowledge in lottery cases because of an underlying qualitative difference in how they process probabilistic information. “Outside” information is generic and pertains to a base rate within a population. “Inside” information is specific and pertains to a particular item’s propensity. When an agent receives information that 99% of (...) all lottery tickets lose (outside information), people judge that she does not know that her ticket will lose. By contrast, when an agent receives information that her specific ticket is 99% likely to lose (inside information), people judge that she knows that her ticket will lose. Despite this difference in knowledge judgments, people rate the likelihood of her ticket losing the exact same in both cases (i.e. 99%). The results shed light on other factors affecting knowledge judgments in lottery cases, including formulaic expression and participants’ own estimation of whether it is true that the ticket will lose. The results also undermine previous hypotheses offered for knowledge denial in lottery cases, including the hypotheses that people deny knowledge because they either deny justification or acknowledge a chance for error. (shrink)

Some of the manuscripts once part of Giovanni Pico della Mirandola’s collection transmit autograph notes, which have been useful to reconstruct his library. A peculiar case is represented by the notes transmitted in a codex containing the Latin translation of Moses Maimonides’ Guide of the Perplexed. These notes are actual corrections to the translation made mostly on the basis of a comparison with the Hebrew text, while in some other cases they derive from a specific interpretation. The aim of this (...) paper is to present some characteristics of the textual revisions, in particular with reference to the Hebrew source. The palaeographic data demonstrate Pico’s direct involvement, which leads to the question of the authorship of these notes, namely if they were the result of an autonomous work or of a collaboration with some other scholar. (shrink)

The lottery paradox involves a set of judgments that are individually easy, when we think intuitively, but ultimately hard to reconcile with each other, when we think reflectively. Empirical work on the natural representation of probability shows that a range of interestingly different intuitive and reflective processes are deployed when we think about possible outcomes in different contexts. Understanding the shifts in our natural ways of thinking can reduce the sense that the lottery paradox reveals something problematic about (...) our concept of knowledge. However, examining these shifts also raises interesting questions about how we ought to be thinking about possible outcomes in the first place. (shrink)

In juxtaposition with the myth and tragedy of Ovid’s Medea, this paper investigates the possibility within the Kantian conception of agency of understanding moral evil as acting against one’s better judgment. It defends the thesis that in Kant self-deception, i. e. the intentional untruthfulness to oneself, provides the fundamental structure for choosing against the moral law. I argue that, as Kant’s thought progresses, self-deception slowly proceeds to become the paradigmatic case of moral evil. This is discussed with regard to two (...) important topics in his later moral philosophy: the doctrine of radical evil and the crucial role of the duty of truthfulness in ethics. The inquiry into Kant’s theory of conscience unfolds both against this theoretical background and in light of its historical roots in the polemic against casuistry and probabilism. This contribution closes with a brief look at the tools Kant implements to counter this tendency to self-deception in moral judgment and particularly at the role casuistry plays within his conception of moral education. (shrink)

In epoca medievale si è molto discusso su alcuni concetti chiave come prova o giustificazione. La teoria della prova contenuta nei trattati di logica medievale prende il nome tecnico di consequentia, che è un tipo di ragionamento fondato sul passaggio dalla concessione (o negazione) di uno o più enunciati denominati antecedenti alla concessione (o negazione) di uno o più enunciati denominati conseguenti. Questo tipo di teoria ha avuto un correlato a livello dei singoli termini che compongono l’enunciato all'interno della teoria (...) nota come suppositio terminorum. Prende, infatti, il nome di descensus, la regola che permette la verifica del passaggio da un termine maggiore (un termine comune) ad un termine minore (che denota individui). La stessa definizione di alcune ramificazioni della teoria della suppositio è col-legata alla possibilità di ammettere o meno il descensus cioè questa "discesa" da un termine comune ad una congiunzione o disgiunzione di termini singolari. Il presente lavoro intende descrivere la teoria del descensus come un tipo particolare di consequentia mostrandone le connessioni con le moderne tecniche logiche. I trattati che si affronteranno appartengono al XIV e al XV secolo, cioè ad un periodo caratterizzato da una sistemazione della materia che li rende confrontabili con un quadro teorico unitario. (shrink)

Thomas Kroedel argues that the lottery paradox can be solved by identifying epistemic justification with epistemic permissibility rather than epistemic obligation. According to his permissibility solution, we are permitted to believe of each lottery ticket that it will lose, but since permissions do not agglomerate, it does not follow that we are permitted to have all of these beliefs together, and therefore it also does not follow that we are permitted to believe that all tickets will lose. I (...) present two objections to this solution. First, even if justification itself amounts to no more than epistemic permissibility, the lottery paradox recurs at the level of doxastic obligations unless one adopts an extremely permissive view about suspension of belief that is in tension with our practice of doxastic criticism. Second, even if there are no obligations to believe lottery propositions, the permissibility solution fails because epistemic permissions typically agglomerate, and the lottery case provides no exception to this rule. (shrink)

This article discusses how the concept of a fair finite lottery can best be extended to denumerably infinite lotteries. Techniques and ideas from non-standard analysis are brought to bear on the problem.

There are many conceivable circumstances in which some people have to be sacrificed in order to give others a chance to survive. The fair and rational method of selection is a lottery with equal chances. But why should losers comply, when they have nothing to lose in a war of all against all? A novel solution to this Compliance Problem is proposed. The lottery must be made self-enforcing by making the lots themselves the means of enforcement of the (...) outcome. This way no external authority is needed to make the losers’ compliance rational both ex ante and ex post. A fairly realistic concrete scenario is sketched to show that the solution could be made to work in practice, particularly since making it work is in everyone’s enlightened self-interest in the circumstances. (shrink)

A ‘lottery belief’ is a belief that a particular ticket has lost a large, fair lottery, based on nothing more than the odds against it winning. The lottery paradox brings out a tension between the idea that lottery beliefs are justified and the idea that that one can always justifiably believe the deductive consequences of things that one justifiably believes – what is sometimes called the principle of closure. Many philosophers have treated the lottery paradox (...) as an argument against the second idea – but I make a case here that it is the first idea that should be given up. As I shall show, there are a number of independent arguments for denying that lottery beliefs are justified. (shrink)

In some lottery situations, the probability that your ticket's a loser can get very close to 1. Suppose, for instance, that yours is one of 20 million tickets, only one of which is a winner. Still, it seems that (1) You don't know yours is a loser and (2) You're in no position to flat-out assert that your ticket is a loser. "It's probably a loser," "It's all but certain that it's a loser," or even, "It's quite certain that (...) it's a loser" seem quite alright to say, but, it seems, you're in no position to declare simply, "It's a loser." (1) and (2) are closely related phenomena. In fact, I'll take it as a working hypothesis that the reason "It's a loser" is unassertable is that (a) You don't seem to know that your ticket's a loser, and (b) In flat-out asserting some proposition, you represent yourself as knowing it.1 This working hypothesis will enable me to address these two phenomena together, moving back and forth freely between them. I leave it to those who reject the hypothesis to sort out those considerations which properly apply to the issue of knowledge from those germane to that of assertability. Things are quite different when you report the results of last night's basketball game. Suppose your only source is your morning newspaper, which did not carry a story about the 1 game, but simply listed the score, "Knicks 83, at Bulls 95," under "Yesterday's Results." Now, it doesn't happen very frequently, but, as we all should suspect, newspapers do misreport scores from time to time. On several occasions, my paper has transposed a result, attributing to each team the score of its opponent. In fact, that your paper's got the present result wrong seems quite a bit more probable than that you've won the lottery of the above paragraph. Still, when asked, "Did the Bulls win yesterday?", "Probably" and "In all likelihood" seem quite unnecessary. "Yes, they did," seems just fine.. (shrink)

Many epistemologists have responded to the lottery paradox by proposing formal rules according to which high probability defeasibly warrants acceptance. Douven and Williamson present an ingenious argument purporting to show that such rules invariably trivialise, in that they reduce to the claim that a probability of 1 warrants acceptance. Douven and Williamson’s argument does, however, rest upon significant assumptions – amongst them a relatively strong structural assumption to the effect that the underlying probability space is both finite and uniform. (...) In this paper, I will show that something very like Douven and Williamson’s argument can in fact survive with much weaker structural assumptions – and, in particular, can apply to infinite probability spaces. (shrink)

In the first chapter of his Knowledge and Lotteries, John Hawthorne argues that thinkers do not ordinarily know lottery propositions. His arguments depend on claims about the intimate connections between knowledge and assertion, epistemic possibility, practical reasoning, and theoretical reasoning. In this paper, we cast doubt on the proposed connections. We also put forward an alternative picture of belief and reasoning. In particular, we argue that assertion is governed by a Gricean constraint that makes no reference to knowledge, and (...) that practical reasoning has more to do with rational degrees of belief than with states of knowledge. (shrink)

Il 2021 segna gli ottant’anni dalla nascita di Mario Perniola, uno dei massimi filosofi italiani del secondo dopoguerra. Questo volume raccoglie interventi che esplorano la sua opera mostrandone la fertilità e sottolineando al tempo stesso la prossimità delle sue idee con le principali sfide del nostro tempo. Dall’Italia al Brasile, passando per gli Stati Uniti, l’Irlanda, la Francia, il Belgio, il Messico e la Cina, gli autori si soffermano su temi che comprendono l’estetica, la politica, la teoria della comunicazione, i (...) queer studies, il pensiero rituale e religioso, la sessualità e la letteratura, restituendo la plurivocità e l’originalità di un filosofo di respiro internazionale e più che mai attuale. (shrink)

In mathematics, any form of probabilistic proof obtained through the application of a probabilistic method is not considered as a legitimate way of gaining mathematical knowledge. In a series of papers, Don Fallis has defended the thesis that there are no epistemic reasons justifying mathematicians’ rejection of probabilistic proofs. This paper identifies such an epistemic reason. More specifically, it is argued here that if one adopts a conception of mathematical knowledge in which an epistemic subject can know a mathematical proposition (...) based solely on a probabilistic proof, one is then forced to admit that such an epistemic subject can know several lottery propositions based solely on probabilistic evidence. Insofar as knowledge of lottery propositions on the basis of probabilistic evidence alone is denied by the vast majority of epistemologists, it is concluded that this constitutes an epistemic reason for rejecting probabilistic proofs as a means of acquiring mathematical knowledge. (shrink)

This work is a complete mathematical guide to lottery games, covering all of the problems related to probability, combinatorics, and all parameters describing the lottery matrices, as well as the various playing systems. The mathematics sections describe the mathematical model of the lottery, which is in fact the essence of the lotto game. The applications of this model provide players with all the mathematical data regarding the parameters attached to the gaming events and personal playing systems. By (...) applying these data, one can find all the winning probabilities for the play with one line, and how these probabilities change with playing the various types of systems containing several lines, depending on their structure. Also, each playing system has a formula attached that provides the number of possible multiple prizes in various circumstances. Other mathematical parameters of the playing systems and the correlations between them are also presented. The generality of the mathematical model and of the obtained formulas allows their application for any existent lottery and any playing system. Each formula is followed by numerical results covering the most frequent lottery matrices worldwide and by multiple examples predominantly belonging to the 6/49 lottery. The listing of the numerical results in dozens of well-organized tables, along with instructions and examples of using them, makes possible the direct usage of this guide by players without a mathematical background. The author also discusses from a mathematical point of view the strategies of choosing involved in the lotto game. The book does not offer so-called winning strategies, but helps players to better organize their own playing systems and to confront their own convictions with the incontestable reality offered by the direct applications of the mathematical model of the lotto game. As a must-have handbook for any lottery player, this book offers essential information about the game itself and can provide the basis for gaming decisions of any kind. (shrink)

On the verge of the 1917 October revolution, Lenin reads and elaborates on the Hegel's Science of Logic, as if he were attempting to outline, from it, specific effects. Theoretical effects, because human activity is never uncoupled from the logic objective, through which the real matter unfolds and to whom each individual indissolubly belongs. Practical effects, because if Hegelian philosophy is good for the Church, for the bourgeoisie, for the capital, by changing the order of some of its factors it (...) may as well turn out good for guiding the practical-cognitive development of an urgent proletarian revolution. (shrink)

In 1931, Evgeny Pashukanis, the distinguished Soviet jurist, author of “The General Theory of Law and Marxism”, following an invitation to celebrate the centenary of Hegel’s death, published an assay entitled “Hegel, the State and Law” (Гегель. Государство и право) aimed to demistify, through a brief retrospective of Hegelian’s philosophy, its specific use, something achieved through the bourgeois ideology which, at some point in history, abandoned Kantism and its followers to embrace Neo-Hegelianism as a philosophy of domination and social control. (...) In this unpublished text, Pashukanis reflects, from a Marxist and Leninist point of view, on the ability to use Hegel as a bourgeois defense tool, when a particular society, specifically the one from the 1920s to the 1930s, began to be affected by the fear of communism and by the crises that endanger its very survival. From this angle, the capitalist interest - following Pashukanisian interpretation of Hegel - will only develop in the terms of a scientific elimination of all those subversive potentials that the economic crisis is destined to produce, thus reformulating the notions of State and Law which, in between obedience, discipline and defense of the homeland, come to assert the official recognition of the inexorably crushed proletariat in a condition in which all relations of production and social reproduction are transferred to the realm of exploitation, as its definitive subsumption to capital. (shrink)

Vann McGee has presented a putative counterexample to modus ponens. I show that (a slightly modified version of) McGee’s election scenario has the same structure as a famous lottery scenario by Kyburg. More specifically, McGee’s election story can be taken to show that, if the Lockean Thesis holds, rational belief is not closed under classical logic, including classical-logic modus ponens. This conclusion defies the existing accounts of McGee’s puzzle.

We conducted five experiments that reveal some main contours of the folk epistemology of lotteries. The folk tend to think that you don't know that your lottery ticket lost, based on the long odds ("statistical cases"); by contrast, the folk tend to think that you do know that your lottery ticket lost, based on a news report ("testimonial cases"). We evaluate three previous explanations for why people deny knowledge in statistical cases: the justification account, the chance account, and (...) the statistical account. None of them seems to work. We then propose a new explanation of our own, the formulaic account, according to which some people deny knowledge in statistical cases due to formulaic expression. (shrink)

We prove a representation theorem for preference relations over countably infinite lotteries that satisfy a generalized form of the Independence axiom, without assuming Continuity. The representing space consists of lexicographically ordered transfinite sequences of bounded real numbers. This result is generalized to preference orders on abstract superconvex spaces.

This article discusses Keith DeRose’s treatment of the lottery problem in Chapter 5 of his recent The Appearance of Ignorance. I agree with a lot of it but also raise some critical points and questions and make some friendly proposals. I discuss different ways to set up the problem, go into the difference between knowing and ending inquiry, propose to distinguish between two different kinds of lotteries, add to the defense of the idea that one can know lottery (...) propositions, give a critical discussion of DeRose’s contextualist solution to the problem, and support his defense against an absurdity objection with additional arguments. (shrink)

According to the permissibility solution to the lottery paradox, the paradox can be solved if we conceive of epistemic justification as a species of permissibility. Clayton Littlejohn has objected that the permissibility solution draws on a sufficient condition for permissible belief that has implausible consequences and that the solution conflicts with our lack of knowledge that a given lottery ticket will lose. The paper defends the permissibility solution against Littlejohn's objections.

Today’s philosophers of memory are split between continuists, who claim that episodic memory (EM) and imagination (EI) belong to the same natural kind, and discontinuists, who defend that they don’t. This abstract considers how assumptions about which mechanisms are relevant for natural kindness shape this discussion. If the argument is in the right track, the (dis)continuism debate should be characterized as a verbal dispute about the important mechanisms for EM and EI.

Many authors in ethics, economics, and political science endorse the Lottery Requirement, that is, the following thesis: where different parties have equal moral claims to one indivisible good, it is morally obligatory to let a fair lottery decide which party is to receive the good. This article defends skepticism about the Lottery Requirement. It distinguishes three broad strategies of defending such a requirement: the surrogate satisfaction account, the procedural account, and the ideal consent account, and argues that (...) none of these strategies succeed. The article then discusses and discharges some remaining grounds for resistance to these skeptical conclusions, as well as the possibility of defending a weaker version of a normative lottery principle. The conclusion is that we have no reason to believe that where equal claims conflict, we are morally required to hold a lottery, as opposed to simply picking one of the parties on more subjective grounds or out of pure whim. In addition to the practical consequences of this skeptical view, the article sketches some theoretical implications for debates about saving the greater number and about axiomatic utilitarianism. (shrink)

In this paper it will be attempted to dissolve the lottery problem based on fallibilism, probabilism and the introduction of a so far widely neglected second context of knowledge. First, it will be argued that the lottery problem is actually an exemplification of the much wider Humean "future knowledge problem" (ch. 1). Two types of inferences and arguments will be examined, compared and evaluated in respect to their ability to fittingly describe the thought processes behind lottery/future knowledge (...) propositions (ch. 2). A second context of knowledge that underlines the importance of fallibilism and probabilism in a somewhat different manner will be introduced (ch. 3) and, based on that "two-context probabilism," the lottery/future knowledge problem will be dissolved (ch. 4). Lastly, it will be hinted at the necessity of adopting not just fallibilism including and two context minding probabilism, but, beyond that, also the even more encompassing position of both ontological and epistemological "gradualism" (ch. 5). (shrink)

Truth is a key notion in Ockham’s philosophical reductionist program, a notion that has been the object of contrasting interpretations in scholarship. My interpretation is that, for Ockham, ‘being true’ expresses an epistemological relation, namely the one through which our mind reflects on a proposition of language, compares it with an extra-mental state of affairs, and thus ascertains their correspondence. Placing truth at a point of intersection of language with mind and reality, Ockham’s interpretation of Aristotle’s characterization of philosophy as (...) the science of truth comes to be innovative. For Ockham, philosophy is a meticulous training of interpretation of language in order to account correctly for the truth-value of propositions. (shrink)

This paper elaborates a new solution to the lottery paradox, according to which the paradox arises only when we lump together two distinct states of being confident that p under one general label of ‘belief that p’. The two-state conjecture is defended on the basis of some recent work on gradable adjectives. The conjecture is supported by independent considerations from the impossibility of constructing the lottery paradox both for risk-tolerating states such as being afraid, hoping or hypothesizing, and (...) for risk-averse, certainty-like states. The new proposal is compared to views within the increasingly popular debate opposing dualists to reductionists with respect to the relation between belief and degrees of belief. (shrink)

Di er ci Qimeng (The second Enlightenment), by Wang Zhihe and Fan Meijun, is a timely book in Chinese about constructing a philosophical and practical way to contend with China's postmodernization. It combines Whitehead's process philosophy with a focus on Chinese modernity in order to map out a desirable postmodern society. It addresses the problem on several dimensions from policy making to basic value systems. The range of themes can be seen from the topics of the book's twelve chapters: (1) (...) Reverence for Land—Toward a Constructive Postmodern Agriculture; (2) Becoming Fully Human—Toward a Postmodern Organic Education; (3) Survival of the Harmonious-Toward a Constructive Postmodern Harmonious Culture; (4) Beauty .. (shrink)

This article reconstructs Sartre’s theory of selfhood against the background of the contemporary debate between minimal-self theories and narrative-self theories. I argue that Sartre’s theory incorporates both an emphasis on the singular first-person perspective, which is characteristic of minimal-self theories, and an emphasis on the practical intelligibility of experience, which is characteristic of narrative-self theories. The distinctiveness of the Sartrean combination of these motifs consists in its idea of the necessary ideal-relatedness of consciousness. According to Sartre, the logical structure of (...) the pre-reflective cogito requires the haunting presence of an ideal of self-coincidence, which determines for consciousness the meaning of its lived experiences. Consciousness exists as a question to itself due to this ideal-relatedness, and it answers this question by projecting its possibilities as creative and symbolic realizations of this ideal. Establishing the connection between Sartre’s theory of imagination and his theory of selfhood, I suggest that both the ideal and the possibility of consciousness are lived in the manner of the imaginary. (shrink)

Both Husserl and Sartre speak of quasi-presence in their descriptions of the lived experience of imagination, and for both philosophers, accounting for quasi-presence means developing an account of the hyle proper to imagination. Guided by the perspective of fulfillment, Husserl’s theory of imaginary quasi-presence goes through three stages. Having experimented first with a depiction-model and then a perception-model, Husserl’s mature theory appeals to his innovative conception of inner consciousness. This elegant account nevertheless fails to do justice to the facticity and (...) bodily involvement of our imaginary experience. Sartre’s theory of analogon, based on his conception of imaginary quasi-presence as ‘magical’ self-affection, embodies important insights on these issues. Kinesthetic sensations and feelings are the modes in which we make use of own body to possess and be possessed by the imaginary object, thus lending it a semblance of bodily presence. (shrink)

La pubblicazione del libro Beta Writer. 2019. Lithium-Ion Batteries. A Machine-Generated Summary of Current Research. New York, NY: Springer, prodotto con software di Intelligenza Artificiale sollecita analisi e riflessioni in vari ambiti. Prima di tutto su che cosa i sistemi di Intelligenza Artificiale siano in grado di fare nell’ambito della produzione di testi di tipo informativo. Di qui si pone la questione se e come un sistema software di Intelligenza Artificiale possa essere trattato come autore di un testo che ha (...) prodotto. Valutare se ciò sia corretto e possibile porta a riprendere in esame la concezione attuale per la quale è scontato che l’autore sia una persona. Ciò, a sua volta, di fronte a testi prodotti da sistemi di Intelligenza Artificiale sollecita necessariamente la domanda se essi, come l’autore-persona, siano dotati di agency. L’articolo conclude che i sistemi di Intelligenza Artificiale si caratterizzano per un’agency distribuita, condivisa con chi li ha progettati e li fa funzionare e che sulla scorta delle riflessioni di 50 anni fa di Barthes e Foucault occorre definire e riconoscere un nuovo tipo di autore. (shrink)

Over the past two decades, gamblers have begun taking mathematics into account more seriously than ever before. While probability theory is the only rigorous theory modeling the uncertainty, even though in idealized conditions, numerical probabilities are viewed not only as mere mathematical information, but also as a decision-making criterion, especially in gambling. This book presents the mathematics underlying the major games of chance and provides a precise account of the odds associated with all gaming events. It begins by explaining in (...) simple terms the meaning of the concept of probability for the layman and goes on to become an enlightening journey through the mathematics of chance, randomness and risk. It then continues with the basics of discrete probability, combinatorics and counting arguments for those interested in the supporting mathematics. These mathematic sections may be skipped by readers who do not have a minimal background in mathematics; these readers can skip directly to the Guide to Numerical Results to pick the odds and recommendations they need for the desired gaming situation. Doing so is possible due to the organization of that chapter, in which the results are listed at the end of each section, mostly in the form of tables. The chapter titled The Mathematics of Games of Chance presents these games not only as a good application field for probability theory, but also in terms of human actions where probability-based strategies can be tried to achieve favorable results. Through suggestive examples, the reader can see what are the experiments, events and probability fields in games of chance and how probability calculus works there. The main portion of this work is a collection of probability results for each type of game. Each game s section is packed with formulas and tables. Each section also contains a description of the game, a classification of the gaming events and the applicable probability calculations. The primary goal of this work is to allow the reader to quickly find the odds for a specific gaming situation, in order to improve his or her betting/gaming decisions. Every type of gaming event is tabulated in a logical, consistent and comprehensive manner. The complete methodology and complete or partial calculations are shown to teach players how to calculate probability for any situation, for every stage of the game for any game. Here, readers can find the real odds, returned by precise mathematical formulas and not by partial simulations that most software uses. Collections of odds are presented, as well as strategic recommendations based on those odds, where necessary, for each type of gaming situation. The book contains much new and original material that has not been published previously and provides great coverage of probabilities for the following games of chance: Dice, Slots, Roulette, Baccarat, Blackjack, Texas Hold em Poker, Lottery and Sport Bets. Most of games of chance are predisposed to probability-based decisions. This is why the approach is not an exclusively statistical one, but analytical: every gaming event is taken as an individual applied probability problem to solve. A special chapter defines the probability-based strategy and mathematically shows why such strategy is theoretically optimal.". (shrink)

Advances in neuroscience implicate reentrant signaling as the predominant form of communication between brain areas. This principle was used in a series of masking experiments that defy explanation by feed-forward theories. The masking occurs when a brief display of target plus mask is continued with the mask alone. Two masking processes were found: an early process affected by physical factors such as adapting luminance and a later process affected by attentional factors such as set size. This later process is called (...) masking by object substitution, because it occurs whenever there is a mismatch between the reentrant visual representation and the ongoing lower level activity. Iterative reentrant processing was formalized in a computational model that provides an excellent fit to the data. The model provides a more comprehensive account of all forms of visual masking than do the long-held feed-forward views based on inhibitory contour interactions. (shrink)

Many oppose the use of profile evidence against defendants at trial, even when the statistical correlations are reliable and the jury is free from prejudice. The literature has struggled to justify this opposition. We argue that admitting profile evidence is objectionable because it violates what we call “equal protection”—that is, a right of innocent defendants not to be exposed to higher ex ante risks of mistaken conviction compared to other innocent defendants facing similar charges. We also show why admitting other (...) forms of evidence, such as eyewitness, trace, and motive evidence, does not violate equal protection. (shrink)

Recent political theory has attempted to unbundle demos and ethnos, and thus citizenship from national identity. There are two possible ways to meet this challenge: by taming the relationship between citizenship and the nation, for example, by defending a form of liberal multicultural nationalism, or by transcending it with a postnational, cosmopolitan conception of citizenship. Both strategies run up against the boundedness of democratic authority. In this paper, I argue that Shachar adresses this issue in an innovative way, but remains (...) ultimately trapped by it. My argument has two parts. In the first one, I look at the analogy between property and citizenship on which Shachar rely to justify the obligations of wealthy states towards the global poor. I suggest that it does not work well to explain the rarity of citizenship and that the idea of taxing its value at the global level, however intuitive in liberal theory on property, could yield unexpected and non-liberal consequences. Nevertheless I also assess its merits. In the second part, I suggest that Shachar’s claim that her argument generates a legal obligation toward the global poor is not binding. It could only be so with the kind of cosmopolitan political institutions that she eschews. Thus we return where we begin. (shrink)

Judith Jarvis Thomson has recently proposed a new argument for the thesis that killing the one in the Trolley Problem is not permissible. Her argument relies on the introduction of a new scenario, in which the bystander may also sacrifice herself to save the five. Thomson argues that those not willing to sacrifice themselves if they could may not kill the one to save the five. Bryce Huebner and Marc Hauser have recently put Thomson's argument to empirical test by asking (...) people what they should do in the new trilemma case, in which they may also sacrifice themselves. They found that the majority judge that they should either kill the one or sacrifice themselves; Huebner and Hauser argue that those numbers speak against Thomson's argument. But Thomson's argument was about the dialectical effect of the new trilemma on the traditional dilemma, rather than about the trilemma itself. Here I present the results of a study in which I asked subjects first what they should do in the trilemma and then what they should do in the traditional Trolley Problem. I found that, if asked first about the trilemma, subjects then have the intuition that killing the one in the traditional Bystander at the Switch is not permissible?exactly what Thomson's argument had predicted. (shrink)

Smith argues that, unlike other forms of evidence, naked statistical evidence fails to satisfy normic support. This is his solution to the puzzles of statistical evidence in legal proof. This paper focuses on Smith’s claim that DNA evidence in cold-hit cases does not satisfy normic support. I argue that if this claim is correct, virtually no other form of evidence used at trial can satisfy normic support. This is troublesome. I discuss a few ways in which Smith can respond.

I argue against Appel's recent proposal – in this JOURNAL – that there is a fundamental human right to sexual pleasure, and that therefore the sexual pleasure of severely disabled people should be publicly funded – by thereby partially legalizing prostitution. I propose an alternative that does not need to pose a new positive human right; does not need public funding; does not need the legalization of prostitution; and that would offer a better experience to the severely disabled: charitable non-profit (...) organizations whose members would voluntarily and freely provide sexual pleasure to the severely disabled. (shrink)