This paper reports the framework, method and main findings of an analysis of cultural milieus in 4 European countries. The analysis is based on a questionnaire applied to a sample built through a two-step procedure of post-hoc random selection from a broader dataset based on an online survey. Responses to the questionnaire were subjected to multidimensional analysis-a combination of Multiple Correspondence Analysis and Cluster Analysis. We identified 5 symbolic universes, that correspond to basic, embodied, affect-laden, generalized worldviews. People in this (...) study see the world as either a) an ordered universe;b) a matter of interpersonal bond;c) a caring society;d) consisting of a niche of belongingness;e) a hostile place. These symbolic universes were also interpreted as semiotic capital: they reflect the capacity of a place to foster social and civic development. Moreover, the distribution of the symbolic universes, and therefore social and civic engagement, is demonstrated to be variable across the 4 countries in the analysis. Finally, we develop a retrospective reconstruction of the distribution of symbolic universes as well as the interplay between their current state and past, present and future socio-institutional scenarios. (shrink)

Throughout his scientific career, Lavoisier paid particular attention to the study of electricity. In the early 1760s, the French chemist was deeply influenced by Abbé Nollet's lectures as part of one of his private courses in experimental physics. Subsequently, Lavoisier always tried to apply to chemistry experiments the precision standards of physics instruments, including electrical ones. He often collaborated with Jacques-Mathurin Brisson, became friends with Benjamin Franklin, did electrical experiments with Alessandro Volta, was favorably impressed by the work of Charles-Augustin (...) Coulomb and the Academy of Sciences asked him for reports on the work on electricity of Jean-Paul Marat and other works concerning electrical phenomena. It is therefore surprising to note that, despite all this, Lavoisier published very little on electricity and that he tried to avoid discussing in detail both the coherence of electrical theories and their usefulness for research in chemistry. Faced with electricity, Lavoisier actually became hesitant and contradictory. For reasons that will be analyzed throughout my study, Lavoisier thought that electricity was a notion that could not provide much help in explaining pneumatic phenomena and, more generally, not very useful for research in chemistry. The study of electricity had been at the center of Lavoisier's attention throughout his scientific career. In the early 1760s, the French chemist was deeply influenced by the lectures delivered by the abbé Nollet in one of his private courses in experimental physics. Thereafter, Lavoisier constantly tried to apply the standards of precision of physical instruments, including electrical ones, to chemical experimentation. He frequently collaborated with Jacques-Mathurin Brisson; he became a friend of Benjamin Franklin; he did electrical experiments with Alessandro Volta; he was impressed by Charles-Augustin Coulomb's works; and he was asked by the Académie des sciences to report on Jean-Paul Marat's work on electricity, as well as on other works dealing with electrical phenomena. Against this background it is rather surprising that Lavoisier published very little on electricity, and he tried to avoid discussing in detail either the consistency of electrical theories or their utility for chemical research. When dealing with electricity, Lavoisier in fact became hesitant and contradictory. For reasons that I will discuss at some length, Lavoisier thought that electricity was a notion of little help for the explanation of pneumatic phenomena and, more generally, for chemical research. -/- . (shrink)

The field of AI safety aims to prevent increasingly capable artificially intelligent systems from causing humans harm. Research on moral alignment is widely thought to offer a promising safety strategy: if we can equip AI systems with appropriate ethical rules, according to this line of thought, they'll be unlikely to disempower, destroy or otherwise seriously harm us. Deontological morality looks like a particularly attractive candidate for an alignment target, given its popularity, relative technical tractability and commitment to harm-avoidance principles. I (...) argue that the connection between moral alignment and safe behavior is more tenuous than many have hoped. In general, AI systems can possess either of these properties in the absence of the other, and we should favor safety when the two conflict. In particular, advanced AI systems governed by standard versions of deontology need not be especially safe. (shrink)

Philosophers have rightly condemned lookism—that is, discrimination in favor of attractive people or against unattractive people—in education, the justice system, the workplace and elsewhere. Surprisingly, however, the almost universal preference for attractive romantic and sexual partners has rarely received serious ethical scrutiny. On its face, it’s unclear whether this is a form of discrimination we should reject or tolerate. I consider arguments for both views. On the one hand, a strong case can be made that preferring attractive partners is bad. (...) The idea is that choosing partners based on looks seems essentially similar to other objectionable forms of discrimination. (In particular, the preference for attractive partners is arguably both unfair and harmful to a significant degree.) One can try to resist this conclusion in several ways. I consider three possible replies. The first has to do with the possibility of controlling our partner preferences. The second pertains to attractiveness and “good genes”. The last attempts to link certain aspects of attractiveness to a prospective partner’s personality and values. I argue that the first two replies fail conclusively, while the third only amounts to a limited defense of a particular kind of attractiveness preference. So the idea that we should often avoid preferring attractive partners is compelling. (shrink)

According to a widespread view in metaphysics and philosophy of science, all explanations involve relations of ontic dependence between the items appearing in the explanandum and the items appearing in the explanans. I argue that a family of mathematical cases, which I call “viewing-as explanations”, are incompatible with the Dependence Thesis. These cases, I claim, feature genuine explanations that aren’t supported by ontic dependence relations. Hence the thesis isn’t true in general. The first part of the paper defends this claim (...) and discusses its significance. The second part of the paper considers whether viewing-as explanations occur in the empirical sciences, focusing on the case of so-called fictional models. It’s sometimes suggested that fictional models can be explanatory even though they fail to represent actual worldly dependence relations. Whether or not such models explain, I suggest, depends on whether we think scientific explanations necessarily give information relevant to intervention and control. Finally, I argue that counterfactual approaches to explanation also have trouble accommodating viewing-as cases. (shrink)

We discuss potential biorisks from large language models (LLMs). AI assistants based on LLMs such as ChatGPT have been shown to significantly reduce barriers to entry for actors wishing to synthesize dangerous, potentially novel pathogens and chemical weapons. The harms from deploying such bioagents could be further magnified by AI-assisted misinformation. We endorse several policy responses to these dangers, including prerelease evaluations of biomedical AIs by subject-matter experts, enhanced surveillance and lab screening procedures, restrictions on AI training data, and access (...) controls on biomedical AI. We conclude with a suggestion about future research directions in bioethics. (shrink)

The problem of truth in fiction concerns how to tell whether a given proposition is true in a given fiction. Thus far, the nearly universal consensus has been that some propositions are ‘implicitly true’ in some fictions: such propositions are not expressed by any explicit statements in the relevant work, but are nevertheless held to be true in those works on the basis of some other set of criteria. I call this family of views ‘implicitism’. I argue that implicitism faces (...) serious problems, whereas the opposite view is much more plausible than has previously been thought. After mounting a limited defence of explicitism, I explore a difficult problem for the view and discuss some possible responses. (shrink)

Gauss’s quadratic reciprocity theorem is among the most important results in the history of number theory. It’s also among the most mysterious: since its discovery in the late 18th century, mathematicians have regarded reciprocity as a deeply surprising fact in need of explanation. Intriguingly, though, there’s little agreement on how the theorem is best explained. Two quite different kinds of proof are most often praised as explanatory: an elementary argument that gives the theorem an intuitive geometric interpretation, due to Gauss (...) and Eisenstein, and a sophisticated proof using algebraic number theory, due to Hilbert. Philosophers have yet to look carefully at such explanatory disagreements in mathematics. I do so here. According to the view I defend, there are two important explanatory virtues—depth and transparency—which different proofs (and other potential explanations) possess to different degrees. Although not mutually exclusive in principle, the packages of features associated with the two stand in some tension with one another, so that very deep explanations are rarely transparent, and vice versa. After developing the theory of depth and transparency and applying it to the case of quadratic reciprocity, I draw some morals about the nature of mathematical explanation. (shrink)

Much recent work on mathematical explanation has presupposed that the phenomenon involves explanatory proofs in an essential way. I argue that this view, ‘proof chauvinism’, is false. I then look in some detail at the explanation of the solvability of polynomial equations provided by Galois theory, which has often been thought to revolve around an explanatory proof. The article concludes with some general worries about the effects of chauvinism on the theory of mathematical explanation. 1Introduction 2Why I Am Not a (...) Proof Chauvinist 2.1Proof chauvinism and mathematical practice 2.2Proof chauvinism and philosophy 3An Example: Galois Theory and Explanatory Proof 4Conclusion. (shrink)

Philosophers of science since Nagel have been interested in the links between intertheoretic reduction and explanation, understanding and other forms of epistemic progress. Although intertheoretic reduction is widely agreed to occur in pure mathematics as well as empirical science, the relationship between reduction and explanation in the mathematical setting has rarely been investigated in a similarly serious way. This paper examines an important particular case: the reduction of arithmetic to set theory. I claim that the reduction is unexplanatory. In defense (...) of this claim, I offer evidence from mathematical practice, and I respond to contrary suggestions due to Steinhart, Maddy, Kitcher and Quine. I then show how, even if set-theoretic reductions are generally not explanatory, set theory can nevertheless serve as a legitimate foundation for mathematics. Finally, some implications of my thesis for philosophy of mathematics and philosophy of science are discussed. In particular, I suggest that some reductions in mathematics are probably explanatory, and I propose that differing standards of theory acceptance might account for the apparent lack of unexplanatory reductions in the empirical sciences. (shrink)

Mathematicians distinguish between proofs that explain their results and those that merely prove. This paper explores the nature of explanatory proofs, their role in mathematical practice, and some of the reasons why philosophers should care about them. Among the questions addressed are the following: what kinds of proofs are generally explanatory (or not)? What makes a proof explanatory? Do all mathematical explanations involve proof in an essential way? Are there really such things as explanatory proofs, and if so, how do (...) they relate to the sorts of explanation encountered in philosophy of science and metaphysics? (shrink)

Recent progress in artificial intelligence (AI) has drawn attention to the technology’s transformative potential, including what some see as its prospects for causing large-scale harm. We review two influential arguments purporting to show how AI could pose catastrophic risks. The first argument — the Problem of Power-Seeking — claims that, under certain assumptions, advanced AI systems are likely to engage in dangerous power-seeking behavior in pursuit of their goals. We review reasons for thinking that AI systems might seek power, that (...) they might obtain it, that this could lead to catastrophe, and that we might build and deploy such systems anyway. The second argument claims that the development of human-level AI will unlock rapid further progress, culminating in AI systems far more capable than any human — this is the Singularity Hypothesis. Power-seeking behavior on the part of such systems might be particularly dangerous. We discuss a variety of objections to both arguments and conclude by assessing the state of the debate. (shrink)

A proof P of a theorem T is transferable when a typical expert can become convinced of T solely on the basis of their prior knowledge and the information contained in P. Easwaran has argued that transferability is a constraint on acceptable proof. Meanwhile, a proof P is fixable when it’s possible for other experts to correct any mistakes P contains without having to develop significant new mathematics. Habgood-Coote and Tanswell have observed that some acceptable proofs are both fixable and (...) in need of fixing, in the sense that they contain nontrivial mistakes. The claim that acceptable proofs must be transferable seems quite plausible. The claim that some acceptable proofs need fixing seems plausible too. Unfortunately, these attractive suggestions stand in tension with one another. I argue that the transferability requirement is the problem. Acceptable proofs need only satisfy a weaker requirement I call “corrigibility”. I explain why, despite appearances, the corrigibility standard is preferable to stricter alternatives. (shrink)

This is a teaching and learning guide to accompany "Explanation in Mathematics: Proofs and Practice".

The fact that sociology was born during the period of the Industrial Revolution does not authorize us to consider its discourse as lacking in philosophical elements that are rooted in a previous age. Neither can we consider as fully accomplished its role for modernity, nonetheless today, in an after-modern climate (in the sense of Donati 2009), sociology is trying to escape the prejudice of modern ethics to go beyond the clichés of postmodernity (Ardigò 1989). Filled with self-reflexivity and reductionist dichotomies, (...) the twenty-first-century sociologist feels the need to ?own factual reality again? and to rediscover ?a new metaphysics of the social world? (Donati 1993). If self-consciousness is in the world, sociology, perhaps, has to go beyond science and turn into ?globology? (Arnason 1990), or into a sociology on a global scale, which looks at how world unification has occurred. In order to accomplish this, it has to be careful about what it was able to do best in the past: ?to foresee and to enhance sustainable change,? to be aware of the ?relational connections,? which no mathematics will ever be able to show, to build new ?memes,? and to decide to accelerate or to go against the phenomena it encounters in its observation. Society in the twenty-first century will go beyond postmodern stagnation and turn into something new (After-modernity? Hyper-modernity? Trans-modernity?) if it is to be helped by the interpretations of sociology. Notwithstanding the endeavors to change, most Westernized countries are trapped in the lib-lab model, while China argues for a complete reconfiguration of the concepts of public and private, states and market, freedom and controls, copyright and copyleft. What is going to happen in the future? Are we going to fall into a technocratic and authoritarian form of neo-modernization? Are we going to rediscover the system of exchanging gifts? Are we going to create a fully ?relational? society, going beyond the Hegelian categories of right and left? It will be the role of a ?strong and relational? sociology to identify all the ?viable? scenarios and to prepare its advent in symbolic terms. (shrink)

Is there a circular relationship between trust and ethics? Is it possible to alter their relationship, changing the perception that social actors have of them? How has trust changed in the transition from modernity to post-modernity and how does it change in times of crisis? Starting from the epistemological assumption that progress in the social sciences is determined by the change in the theoretical horizon produced by “a reformulation of metaphysical assumptions” [1] and combining this path with the relational perspective, (...) according to which “not the facts, but the relationship between the facts is what requires analysis” [2], we will examine definitions, meanings, functions and relationships between trust and ethics. Following the theoretical logical method, we will understand that trust and ethical behaviour are particular forms of gift [3] that co-own each other. As such, they are ambivalent in nature and their circle can also produce dysfunctional outcomes that depend on the ability of social systems to modify collective perceptions through forms of communication, in the awareness that distrust constitutes an ineliminable and, paradoxically, preparatory element for the restoration of the trust circle. The relational circle between gift, trust, collective ethics and personal morality does not end with distrust, but changes in a contingent way, determining perverse effects: correct behaviour could produce, unintentionally, a disaster; incorrect actions could generate unforeseen positive effects.The perverse effects cannot be defined as exceptional - as is believed in the theory of rational choice - but recurrent because daily practices are marked by an intuitive, emotional and moralistic trust circle that prevails over logical reasoning, as ascertained by both relational theory and behavioural economics. Functionalist paradigms cannot engineer and optimise the performance of trust. [1] See J. Alexander's strong programme in S. Segre, Le teorie sociologiche contemporanee, Carocci, Rome, 2019, p. 12. It is not enough to observe reality, it is necessary to interpret it, taking into account theories and traditions whose foundations have a metaphysical character. [2] F. Ferrarotti, La sociologia come analisi critica della società, in R. Cipriani, Nuovo Manuale di Sociologia, Maggioli, Sant’Arcangelo di Romagna, 2018 p. 24. [3] The classical meaning in M. Mauss, Essai sur le don. Forme et raison de l'échange dans les sociétés archaïques, 1ª ed. 1925, revisited by G. Satta, L’ambiguità del dono. Note su dono, violenza e potere nell’ Essai di Mauss, in V. Rasini, Aggressività. Un’indagine polifonica, Mimesis, Milano 2011. (shrink)

This article argues that William James's thinking in The Varieties and elsewhere contains the view that social institutions, such as religious congregations and schools, are mediators between the private and public spheres of life, and are necessary for transforming personal feelings, ideals and beliefs into moral action. The Exercises of St Ignatius and the Just Community moral education approach serve as examples. Criticisms of the more commonly held view that James recognised only individual personal experiences as valid religious expressions are (...) marshalled. Furthermore, we argue that moral action or saintliness, the ultimate expression of religious faith according to James, is fundamentally social. The commonalities that the phenomenologies of moral action of St Ignatius and Lawrence Kohlberg have with William James's view are used to support the argument. (shrink)

Models are indispensable tools of scientific inquiry, and one of their main uses is to improve our understanding of the phenomena they represent. How do models accomplish this? And what does this tell us about the nature of understanding? While much recent work has aimed at answering these questions, philosophers' focus has been squarely on models in empirical science. I aim to show that pure mathematics also deserves a seat at the table. I begin by presenting two cases: Cramér’s random (...) model of the prime numbers and the function field model of the integers. These cases show that mathematicians, like empirical scientists, rely on unrealistic models to gain understanding of complex phenomena. They also have important implications for some much-discussed theses about scientific understanding. First, modeling practices in mathematics confirm that one can gain understanding without obtaining an explanation. Second, these cases undermine the popular thesis that unrealistic models confer understanding by imparting counterfactual knowledge. (shrink)

In a recent letter, Dillion et. al (2023) make various suggestions regarding the idea of artificially intelligent systems, such as large language models, replacing human subjects in empirical moral psychology. We argue that human subjects are in various ways indispensable.

Why "System and Freedom"? Why "Rationality and Improvisation"? These are the two questions that are at the origin of the conference "System and freedom. Rationality and improvisation between philosophy, art and human practices". The conference, held on 28-31 January 2015 in the premises of the University of Turin and organized by the Center for Philosophical-religious Studies Luigi Pareyson, thanks to funding from the Piedmont Region, and with the sponsorship of the Interuniversity Center of Morphology Francesco Moiso, had a large audience (...) participation. There have been many reasons and reflections reported in this article, on the theme of improvisation and freedom, analyzed from a philosophical point of view. The very high quality of the speeches from the invited speakers and of all the speakers, the wide and lively public participation and certainly the intensity of the discussions contributed to the success of this long meeting. (shrink)