According to the received view, genuine mathematical justification derives from proofs. In this article, I challenge this view. First, I sketch a notion of proof that cannot be reduced to deduction from the axioms but rather is tailored to human agents. Secondly, I identify a tension between the received view and mathematical practice. In some cases, cognitively diligent, well-functioning mathematicians go wrong. In these cases, it is plausible to think that proof sets the bar for justification too high. I then (...) propose a fallibilist account of mathematical justification. I show that the main function of mathematical justification is to guarantee that the mathematical community can correct the errors that inevitably arise from our fallible practices. (shrink)

If there is an area of discourse in which disagreement is virtually absent, it is mathematics. After all, mathematicians justify their claims with deductive proofs: arguments that entail their conclusions. But is mathematics really exceptional in this respect? Looking at the history and practice of mathematics, we soon realize that it is not. First, deductive arguments must start somewhere. How should we choose the starting points (i.e., the axioms)? Second, mathematicians, like the rest of us, are fallible. Their ability to (...) recognize whether a putative proof is correct is not infallible. In most cases, disagreement over the correctness of a putative proof is, however, evanescent. Once an error is spotted and communicated, the disagreement disappears. But this is not always the case. Sometimes it is recalcitrant; that is, it persists over time. In order to zoom in on this type of disagreement and explain its very possibility, we focus on a single case study: a decades-long (1921-1949) controversy between Federigo Enriques and Francesco Severi, two prominent exponents of the Italian school of algebraic geometry. We suggest that the instability of the mathematical community to which they belonged can be explained by the gap between an abstract criterion of rigor and local criteria of acceptability. It is this instability that made the existence of recalcitrant disagreement over putative proofs possible. We do not condemn speculative mathematics but rather its pretense of being rigorous mathematics. In this respect, we show that the overly self-confident Severi and the more intuitive, visionary Enriques had a completely different attitude. (shrink)

Paying attention to the inner workings of mathematicians has led to a proliferation of new themes in the philosophy of mathematics. Several of these have to do with epistemology. Philosophers of mathematical practice, however, have not (yet) systematically engaged with general (analytic) epistemology. To be sure, there are some exceptions, but they are few and far between. In this chapter, I offer an explanation of why this might be the case and show how the situation could be remedied. I contend (...) that it is only by conceiving the knowing subject(s) as embodied, fallible, and embedded in a specific context (along the lines of what has been done within social and feminist epistemology) that we can pursue an epistemology of mathematics sensitive to actual mathematical practice. I further suggest that this reconception of the knowing subject(s) does not force us to abandon the traditional framework of epistemology in which knowledge requires justified true belief. It does, however, lead to a fallible conception of mathematical justification that, among other things, makes Gettier cases possible. This shows that topics considered to be far removed from the interests of philosophers of mathematical practice might reveal to be relevant to them. (shrink)

The aim of this article is to explain why knot diagrams are an effective notation in topology. Their cognitive features and epistemic roles will be assessed. First, it will be argued that different interpretations of a figure give rise to different diagrams and as a consequence various levels of representation for knots will be identified. Second, it will be shown that knot diagrams are dynamic by pointing at the moves which are commonly applied to them. For this reason, experts must (...) develop a specific form of enhanced manipulative imagination, in order to draw inferences from knot diagrams by performing epistemic actions. Moreover, it will be argued that knot diagrams not only can promote discovery, but also provide evidence. This case study is an experimentation ground to evaluate the role of space and action in making inferences by reasoning diagrammatically. (shrink)

The aim of this article is to investigate the roles of commutative diagrams (CDs) in a specific mathematical domain, and to unveil the reasons underlying their effectiveness as a mathematical notation; this will be done through a case study. It will be shown that CDs do not depict spatial relations, but represent mathematical structures. CDs will be interpreted as a hybrid notation that goes beyond the traditional bipartition of mathematical representations into diagrammatic and linguistic. It will be argued that one (...) of the reasons why CDs form a good notation is that they are highly mathematically tractable: experts can obtain valid results by ‘calculating’ with CDs. These calculations, take the form of ‘diagram chases’. In order to draw inferences, experts move algebraic elements around the diagrams. It will be argued that these diagrams are dynamic. It is thanks to their dynamicity that CDs can externalize the relevant reasoning and allow experts to draw conclusions directly by manipulating them. Lastly, it will be shown that CDs play essential roles in the context of proof as well as in other phases of the mathematical enterprise, such as discovery and conjecture formation. (shrink)

Criteria of acceptability for mathematical proofs are field-dependent. In topology, though not in most other domains, it is sometimes acceptable to appeal to visual intuition to support inferential steps. In previous work :829–842, 2014; Lolli, Panza, Venturi From logic to practice, Springer, Berlin, 2015; Larvor Mathematical cultures, Springer, Berlin, 2016) my co-author and I aimed at spelling out how topological proofs work on their own terms, without appealing to formal proofs which might be associated with them. In this article, I (...) address two criticisms that have been raised in Tatton-Brown against our approach: that it leads to a form of relativism according to which validity is equated with social agreement and that it implies an antiformalizability thesis according to which it is not the case that all rigorous mathematical proofs can be formalized. I reject both criticisms and suggest that our previous case studies provide insight into the plausibility of two related but quite different theses. (shrink)

Tommaso Campanella’s dignitas hominis acquires its own autonomous and innovative historiographical value in recognizing the connection between mens and religion as a distinctive element of human be...

Although traditionally neglected, mathematical diagrams have recently begun to attract attention from philosophers of mathematics. By now, the literature includes several case studies investigating the role of diagrams both in discovery and justification. Certain preliminary questions have, however, been mostly bypassed. What are diagrams exactly? Are there different types of diagrams? In the scholarly literature, the term “mathematical diagram” is used in diverse ways. I propose a working definition that carves out the phenomena that are of most importance for a (...) taxonomy of diagrams in the context of a practice-based philosophy of mathematics, privileging examples from contemporary mathematics. In doing so, I move away from vague, ordinary notions. I define mathematical diagrams as forming notational systems and as being geometric/topological representations or two-dimensional representations. I also examine the relationship between mathematical diagrams and spatiotemporal intuition. By proposing an explication of diagrams, I explain certain controversies in the existing literature. Moreover, I shed light on why mathematical diagrams are so effective in certain instances, and, at other times, dangerously misleading. (shrink)

Mathematical diagrams are frequently used in contemporary mathematics. They are, however, widely seen as not contributing to the justificatory force of proofs: they are considered to be either mere illustrations or shorthand for non-diagrammatic expressions. Moreover, when they are used inferentially, they are seen as threatening the reliability of proofs. In this paper, I examine certain examples of diagrams that resist this type of dismissive characterization. By presenting two diagrammatic proofs, one from topology and one from algebra, I show that (...) diagrams form genuine notational systems, and I argue that this explains why they can play a role in the inferential structure of proofs without undermining their reliability. I then consider whether diagrams can be essential to the proofs in which they appear. (shrink)

The aim of this article is to investigate specific aspects connected with visualization in the practice of a mathematical subfield: low-dimensional topology. Through a case study, it will be established that visualization can play an epistemic role. The background assumption is that the consideration of the actual practice of mathematics is relevant to address epistemological issues. It will be shown that in low-dimensional topology, justifications can be based on sequences of pictures. Three theses will be defended. First, the representations used (...) in the practice are an integral part of the mathematical reasoning. As a matter of fact, they convey in a material form the relevant transitions and thus allow experts to draw inferential connections. Second, in low-dimensional topology experts exploit a particular type of manipulative imagination which is connected to intuition of two- and three-dimensional space and motor agency. This imagination allows recognizing the transformations which connect different pictures in an argument. Third, the epistemic—and inferential—actions performed are permissible only within a specific practice: this form of reasoning is subject-matter dependent. Local criteria of validity are established to assure the soundness of representationally heterogeneous arguments in low-dimensional topology. (shrink)

The objective of this article is twofold. First, a methodological issue is addressed. It is pointed out that even if philosophers of mathematics have been recently more and more concerned with the practice of mathematics, there is still a need for a sharp definition of what the targets of a philosophy of mathematical practice should be. Three possible objects of inquiry are put forward: (1) the collective dimension of the practice of mathematics; (2) the cognitives capacities requested to the practitioners; (...) and (3) the specific forms of representation and notation shared and selected by the practitioners. Moreover, it is claimed that a broadening of the notion of ‘permissible action’ as introduced by Larvor (2012) with respect to mathematical arguments, allows for a consideration of all these three elements simultaneously. Second, a case from topology – the proof of Alexander’s theorem – is presented to illustrate a concrete analysis of a mathematical practice and to exemplify the proposed method. It is discussed that the attention to the three elements of the practice identified above brings to the emergence of philosophically relevant features in the practice of topology: the need for a revision in the definition of criteria of validity, the interest in tracking the operations that are performed on the notation, and the constant and fruitful back-and-forth from one representation to another in dealing with mathematical content. Finally, some suggestions for further research are given in the conclusions. (shrink)

The classification of algebraic surfaces by the Italian School of algebraic geometry is universally recognized as a breakthrough in 20th-century mathematics. The methods by which it was achieved do not, however, meet the modern standard of rigor and therefore appear dubious from a contemporary viewpoint. In this article, we offer a glimpse into the mathematical practice of the three leading exponents of the Italian School of algebraic geometry: Castelnuovo, Enriques, and Severi. We then bring into focus their distinctive conception of (...) rigor and intuition. Unlike what is often assumed today, from their perspective, rigor is neither opposed to intuition nor understood as a unitary phenomenon – Enriques distinguishes between small-scale rigor and large-scale rigor and Severi between formal rigor and substantial rigor. Finally, we turn to the notion of mathematical objectivity. We draw from our case study in order to advance a multi-dimensional analysis of objectivity. Specifically, we suggest that various types of rigor may be associated with different conceptions of objectivity: namely, objectivity as faithfulness to facts and objectivity as intersubjectivity. (shrink)

The distinction between propositional and doxastic justification is well-known among epistemologists. Propositional justification is often conceived as fundamental and characterized in an entirely apsychological way. In this chapter, I focus on beliefs based on deductive arguments. I argue that such an apsychological notion of propositional justification can hardly be reconciled with the idea that justification is a central component of knowledge. In order to propose an alternative notion, I start with the analysis of doxastic justification. I then offer a notion (...) of propositional justification, intersubjective propositional justification, that is neither entirely apsychological nor idiosyncratic. To do so, I argue that to be able to attribute propositional justification to a subject, we have to consider her social context as well as broad features of our human cognitive architecture. (shrink)

Computational tools might tempt us to renounce complete cer- tainty. By forgoing of rigorous proof, we could get (very) probable results for a fraction of the cost. But is it really true that proofs (as we know and love them) can lead us to certainty? Maybe not. Proofs do not wear their correct- ness on their sleeve, and we are not infallible in checking them. This suggests that we need help to check our results. When our fellow mathematicians will be (...) too tired or too busy to scrutinize our putative proofs, computer proof assistants could help. But feeding a mathematical argument to a computer is hard. Still, we might be willing to undertake the endeavor in view of the extra perks that formalization may bring—chiefly among them, an enhanced mathematical understanding. (shrink)

According to a widely held view in the philosophy of mathematics, direct inferential justification for mathematical propositions (that are not axioms) requires proof. I challenge this view while accepting that mathematical justification requires arguments that are put forward as proofs. I argue that certain fallacious putative proofs considered by the relevant subjects to be correct can confer mathematical justification. But mathematical justification doesn’t come for cheap: not just any argument will do. I suggest that to successfully transmit justification an argument (...) must satisfy specific standards, some of which are social. I contrast my view with Huemer’s inferential conservatism, which makes mathematical justification too easy to get. Although in this article I focus on mathematical inferential beliefs, the view on offer generalizes to other inferential beliefs. (shrink)

Rigorous proof is supposed to guarantee that the premises invoked imply the conclusion reached, and the problem of rigor may be described as that of bringing together the perspectives of formal logic and mathematical practice on how this is to be achieved. This problem has recently raised a lot of discussion among philosophers of mathematics. We survey some possible solutions and argue that failure to understand its terms properly has led to misunderstandings in the literature.

Giacomo Leopardi, a major Italian poet of the nineteenth century, was also an expert in evil to whom Schopenhauer referred as a “spiritual brother.” Leopardi wrote: “Everything is evil. That is to say, everything that is, is evil; that each thing exists is an evil; each thing exists only for an evil end; existence is an evil.” These and other thoughts are collected in the Zibaldone, a massive collage of heterogeneous writings published posthumously. Leopardi’s pessimism assumes a polished form in (...) his literary writings, such as Dialogue between Nature and an Islander (1824)—an invective against nature and the suffering of creatures within it. In his last lyric, Broom, or the flower of the desert (1836), Leopardi points to the redeeming power of poetry and to human solidarity as placing at least temporary limits on the scope of evil. (shrink)

A contemporary of Giordano Bruno and Galileo, Tommaso Campanella was a controversial philosopher, theologian, astrologer, and poet who was persecuted during the Inquisition and spent much of his adult life imprisoned because of his heterodox views. He is best known today for two works: _The City of the Sun_, a dialogue inspired by Plato’s _Republic_, in which he prophesies a vision of a unified, peaceful world governed by a theocratic monarchy; and his well-meaning _Defense of Galileo_, which may have (...) done Galileo more harm than good because of Campanella’s previous conviction for heresy. But Campanella’s philosophical poems are where his most forceful and undiluted ideas reside. His poetry is where his faith in observable and experimental sciences, his astrological and occult wisdom, his ideas about deism, his anti-Aristotelianism, and his calls for religious and secular reform most put him at odds with both civil and church authorities. For this volume, Sherry Roush has selected Campanella’s best and most idiosyncratic poems, which are masterpieces of sixteenth-century Italian lyrics, displaying a questing mind of great, if unorthodox, brilliance, and showing Campanella’s passionate belief in the intrinsic harmony between the sacred and secular. (shrink)

John P. Burgess is the John N. Woodhull Professor of Philosophy at Princeton University. He obtained his Ph.D. from the Logic and Methodology program at the University of California at Berkeley under the supervision of Jack H. Silver with a thesis on descriptive set theory. He is a very distinguished and influential philosopher of mathematics. He has written several books: A Subject with No Object (with G. Rosen, Oxford University Press, 1997), Computability and Logic (with G. Boolos and R. Jeffrey, (...) 5th ed., Cambridge University Press, 2007), Fixing Frege (Princeton University Press, 2005), Mathematics, Models, and Modality (Cambridge University Press, 2007), Philosophical Logic (Princeton University Press, 2009), Truth (with A. G. Burgess, Princeton University Press, 2011), Saul Kripke: Puzzles & Mysteries (Polity Press, 2012), Rigor & Structure (Oxford University Press, 2015), and Set Theory (Cambridge Elements, Forthcoming). In this interview, Professor Burgess talks about how his interests in mathematics and philosophy developed and relate to each other. He then answers questions about specific themes of his philosophical work, with a focus on issues pertaining to philosophy of mathematics. (shrink)

In this study, we argue that contemporary nursing care has been overtaken by new public management strategies aimed at curtailing budgets in the public hospital sector in Australia. Drawing on qualitative interviews with 15 nurses from one public acute hospital with supporting documentary evidence, we demonstrate what happens to nursing work when management imposesroundingas a risk reduction strategy. In the case study outlined rounding was introduced across all wards in response to missed care, which in turn arose as a result (...) of work intensification produced by efficiency, productivity, effectiveness and accountability demands. Rounding is a commercially sponsored practice consistent with new public management. Our study illustrates the impact that new public management strategies such as rounding have on how nurses work, both in terms of work intensity and in who controls their labour. (shrink)

This study explores social enterprises’ strategies for addressing mission drift. Relying on an inductive comparative case study of two Italian social enterprises, we show how stakeholder engagement combined with social accounting can successfully support a social venture to re-balance its positioning between wealth generation and social value creation. Indeed, stakeholder engagement helps the internal actors of a social enterprise to rationalize and embody pro-social values previously abandoned, while social accounting reinforces this embodiment process by showing the reintroduced social commitment of (...) the social enterprise to external audiences. Conversely, strategies focused only on social accounting and without significant engagement of external stakeholders prove to be unsuccessful in counterbalancing mission drift because they fail to activate the necessary process of internal re-introduction and operationalization of pro-social values and objectives. (shrink)

ABSTRACT:In this study, we investigate how different internal and external stakeholders influence the innovation strategy of a social enterprise to adopt product, process, and partnership innovations that impact either social or commercial performance. Relying on survey data from a sample of work integration social enterprises, we find that in situations of turbulence, administrative leaders do not significantly influence the innovation strategy of a social enterprise. Instead, board members and external stakeholders seem to play a role. Our study contributes to strategic (...) and business ethics research on social enterprises and, more broadly, to the literature that explores how business organizations combine social value creation and wealth generation. (shrink)

In this work, I investigate the implications of reversing the common assumption of rationality on behalf of human agents typically underlying philosophical research. Instead, I assume that human agents can become rational only if they learn to edge against their dumbness. Specifically, I show that intelligence cannot be considered the opposite of dumbness. To this end, I embrace the difference among System 1, System 2, and System 1.5. On these grounds, I argue that System 2 can be considered the system (...) of intelligence, whereas Systems 1 and 1.5 can be viewed as the systems of rationality. More precisely, I argue that System 2 concerns theoretical reasoning, whereas System 1 and 1.5 concern practical reasoning. Accordingly, I show that people are dumber whenever they fail to have rational control over System 1 via System 1.5, whereas people become more rational whenever they manage to have rational control over System 1 via System 1.5. Interestingly, both cases can be considered the causes of two distinct social processes. On one side, when dumbness increases among individuals, social groups achieve coordination that detriments general welfare. On the other, when dumbness decreases among individuals, social groups achieve coordination that maximizes general welfare. (shrink)

Cognitive niche theories consist in a theoretical framework that is proving extremely profitable in bridging evolutionary biology, philosophy, cognitive science, and anthropology by offering an inter-disciplinary ground, laden with novel approaches and debates. At the same time, cognitive niche theories are multiple, and differently related to niche theories in theoretical and evolutionary biology. The aim of this paper is to clarify the theoretical and epistemological relationships between cognitive and ecological niche theories. Also, by adopting a constructionist approach we will try (...) to explain the shift from ecological to cognitive niches and their actual and theoretical overlaps. In order to do so, we will take two concepts expressing loose forms of causation in the interaction between organisms and their environment: the biological notion of “enablement” and the psycho-cognitive one of “affordance”. (shrink)

A quasivariety of algebras has the joint embedding property (JEP) if and only if it is generated by a single algebra A. It is structurally complete if and only if the free ℵ0‐generated algebra in can serve as A. A consequence of this demand, called ‘passive structural completeness’ (PSC), is that the nontrivial members of all satisfy the same existential positive sentences. We prove that if is PSC then it still has the JEP, and if it has the JEP and (...) its nontrivial members lack trivial subalgebras, then its relatively simple members all belong to the universal class generated by one of them. Under these conditions, if is relatively semisimple then it is generated by one ‐simple algebra. We also prove that a quasivariety of finite type, with a finite nontrivial member, is PSC if and only if its nontrivial members have a common retract. The theory is then applied to the variety of De Morgan monoids, where we isolate the sub(quasi)varieties that are PSC and those that have the JEP, while throwing fresh light on those that are structurally complete. The results illuminate the extension lattices of intuitionistic and relevance logics. (shrink)

Il volume analizza il pensiero trascendentale di Johann Gottlieb Fichte (1762-1814) nei suoi elementi costitutivi. In particolare viene messo in evidenza che l’intento principale della filosofia fichtiana è quello di edificare un “sistema della libertà”, fondato sul primato del pratico (das Praktische) e dei costitutivi pratici della coscienza umana: l’intuizione intellettuale, l’immaginazione produttiva, lo Streben ed in primis il volere. Viene quindi sottolineato che uno dei vertici della speculazione di Fichte è rappresentato dal concetto di “volere puro” che costituisce il (...) fondamento del conoscere e dell’agire, determinando la natura stessa dell’uomo e dell’assoluto. Nel volume vengono ampiamente utilizzati i nuovi testi messi a disposizione dall’edizione critica delle opere fichtiane curata da Reinhard Lauth: particolare attenzione viene data ai manoscritti di lezioni Dottrina della scienza nova methodo (1796-99) e all’epistolario intercorso tra Fichte e F.H. Jacobi sul rapporto tra la riflessione filosofica e la fede religiosa. Nella parte finale del libro compaiono due Appendici: la prima è dedicata al filosofo bretone Jules Lequier (1814-1862), autore che - ispirandosi a Fichte - elabora una filosofia della libertà tesa a superare una concezione della natura umana deterministica e positivistica; la seconda Appendice è incentrata sull’originale interpretazione del pensiero cartesiano data da Reinhard Lauth (1919-2007): quest’ultimo scorge nel cogito cartesiano il fondamento di una filosofia trascendentale ante litteram che anticipa le posizioni di Kant e di Fichte e che pone le basi per un “pensiero trascendentale della libertà”. -/- AUTORE Tommaso Valentini (Spoleto, 1979) è professore associato di “Filosofia politica” presso l’Università degli Studi “Guglielmo Marconi” di Roma, dove insegna anche “Storia della filosofia moderna”. È docente incaricato di “Ermeneutica filosofica” presso la Pontificia Università Antonianum. Nel 2003 si è laureato in Filosofia sotto la guida del Prof. Armando Rigobello; nel 2008 ha conseguito il titolo di Dottore di ricerca (PhD) in “Etica e antropologia filosofica” presso l’Università degli Studi del Salento. Dal 2006 al 2008, grazie ad una borsa di studio, ha condotto le sue ricerche sul pensiero classico tedesco a Monaco di Baviera presso la Ludwig-Maximilians Universität e la Fichte-Kommission dell’Accademica Bavarese delle Scienze. Dal 2015 è membro del Consiglio nazionale dell’ADIF (Associazione Docenti Italiani di Filosofia). È co-direttore della rivista scientifica on line «Aretè. International Journal of Philosophy, Human & Social Sciences». Ha pubblicato numerosi articoli su Kant, J.G. Fichte, il personalismo e l’ermeneutica filosofica (in particolare Paul Ricoeur). Tra le sue pubblicazioni: Soggetto e persona nel pensiero francese del Novecento, Editori Riuniti university press, Roma 2011; I fondamenti della libertà in J.G. Fichte, Editori Riuniti university press, Roma 2012; Filosofia e cristianesimo nell’Italia del Novecento, Drengo Edizioni, Roma 2012; nel 2015 è stato curatore del volume Natura umana, persona, libertà. Prospettive di antropologia filosofica ed orientamenti etico-politici, LEV, Roma 2015; nel 2017 è stato curatore (con il Prof. Luca Mencacci) del volume collettaneo dal titolo “La dialettica esaurita? A 100 anni dalla Rivoluzione d’Ottobre. Interpretazioni politiche, filosofiche, estetiche”, Presentazione del Prof. Rocco Pezzimenti, Drengo Edizioni, Roma; per la rivista «Aretè» ha curato (con il Prof. Andrea Gentile) due numeri monografici: nel 2017 il volume dal titolo “A partire da Kant: interpretazioni e metamorfosi del trascendentale”, nel 2019 il volume dal titolo “Dialettica. Sui molteplici significati di un concetto teoretico e storico-politico”. (shrink)

Several studies have lately revealed that social media conceal at least three dangerous pitfalls. Firstly, social media can negatively impact sociopolitical processes in advanced liberal democracies by becoming vehicles for the spread of false information that augments political polarization (Lee et al. 2017; Ostillio 2018). Secondly, as a result of the first point, social mediacan rapidly become a source of incorrect beliefs for those subjects with low digital literacy (Guess et al. 2019). Thirdly, because of the first and second points, (...) intentionally deceitful manipulations of social media content are potent generators of information cascades that increase group polarizations across groups of vulnerable social media users (Jang and Kim2018, Wang et al. 2018, Colliander 2019). These findings support the claim that the circulation of biased content on social media potentially threatens sociopolitical stability in liberal Western democracies (Duffy 2018; Sunstein 2018). Although this claim is far from being speculative, as shown by the FacebookFile investigations (Wall Street Journal 2019) and the center for humane technology’s recen tresearch, it introduces a thorny dilemma regarding the founding principles of liberal Western democracies. Namely, should Western legislators limit free speech by introducing severe penalties for those who spread fake news and the likes on social media? Or should they let the free market autonomously produce efficient technology allowing people to identify biased social media content?In other words, is a libertarian solution to the plight of online fake news and the like preferable to adequate legislation that punishes those who spread such content? Though appealing, it is unrealistic to believe that the free market can resolve this problem. On the other hand, it is realistic to suppose that Western governments should engage in a merciless battle against biased social media content. For instance, following the publication of the Report of the independent High level Group on fake news and online disinformation in 2018, the European Union introduced new directives to limit the spread of fake news online in 2021, when the Covid19 pandemic started fading. Although initiatives as such might look like limitations of free speech, there is solid philosophical ground to defend such initiatives. To prove this contention, we resort to Hobbes’s (1651, Part II, §18 and §29) argument that humans can avoid falling back into the Hobbesian state of war only if they stipulate a covenant. Specifically, we appeal to Hobbes’s (1651) argument in favor of bestowing the sovereign the right to ban those seditious doctrines that might undermine peace and sociopolitical stability in the Hobbesian Commonwealth. In this regard, we show that the Hobbesian covenant resolves conflict among humans in the same way a correlated equilibrium limits noncooperation in game theory. Namely, like game theory players, citizens enjoy greater welfare whenever they observe rules that mitigate conflict (Slomp 2010). Accordingly, we argue that citizens would be better off only if Western governments introduced severe penalties for those who intentionally spread fake news. Notably, we argue that effective regulation would create disincentives for spreading biased content and incentives for spreading truthful content. Furthermore, we argue that effective regulation against online fake news would assuage the polarizing effects of online availability cascades on social networks. Importantly, we provide empirical evidence supporting these claims by showing that the lack of effective regulation led the American government to miserably fail to contain the devasting effects of the online infodemic (i.e., the epidemic of false online information)that took place during the first two waves of the Covid19 pandemic (Evanega et al. 2020, Milosh et al. 2020). (shrink)

Cyber-bullying, and other issues related to violence being committed online in prosocial environments, are beginning to constitute an emergency worldwide. Institutions are particularly sensitive to the problem especially as far as teenagers are concerned inasmuch as, in cases of inter-teen episodes, the deterrent power of ordinary justice is not as effective as it is between adults. In order to develop the most suitable policies, institution should not be satisfied with statistics and sociological perspectives on the phenomenon, but rather seek a (...) deep ethical understanding—also referring to the biological and evolutionary past of human beings. The aim of this paper is to show a way to fill this theoretical gap, offering some answers that can illuminate future policy-oriented research and reflection. In order to do so, we will start by connecting our argument to evolutionary studies carried out in the past two decades, focusing on gossip as a tool for social assortment, thus endowed with a dual function: protect the group from free riders, intruders and bullies but also bully the deviant members. In the “Mediating gossip through social networks” section, we will see which aspects of gossip, vital for bullying, are co-opted by social network scenarios. A fundamental trait of human social life, that is the subdivision in smaller coalitions, or sub-groups, will be shown as missing in social networks dynamics—therefore constituting themselves as structurally violent. The “Why and how do social networks empower bullying?” section will deal with techno-ethical and epistemological concerns regarding how gossip, mediated by SN, manages to empower cyber-bullying. The “Self-gossip and self-mobbing in the light of the disruption of sub-moralities” section will characterize cyber-bullying as often sparked by self-gossip in a scenario where familiar sub-groups, which also mediate defense and mutual understanding, are disrupted. The “Discussion and conclusion” section will consist of a philosophical summary, divided in two parts: a pars destruens analyzing whether SN, in their actual configurations, are fit for being used by humans-like-us, and a pars construens examining the broad potential consequences of highly enforced regulation aimed at contrasting cyber-bullying. (shrink)

Questo articolo prende in esame il fenomeno della proliferazione di fake news da un punto di vista filosofico—anzi, per meglio dire, prettamente epistemologico—con particolare attenzione a tre questioni fondamentali: cosa sono le fake news e come debbano essere definite; quali meccanismi ne favoriscono la proliferazione sui social media; chi debba essere ritenuto responsabile e degno di biasimo nel processo sotteso alla generazione, pubblicazione e diffusione di fake news. A partire dall'analisi dei principali lavori nella letteratura filosofica sul tema, ci proponiamo (...) di: offrire una definizione di fake news che eviti le obiezioni sollevate contro altre definizioni discusse dalla letteratura (§1); mettere in luce le principali cause della propagazione di fake news, con particolare riferimento ai bias cognitivi e alle strutture comunitarie in cui si organizzano gli utenti dei social media (§2); infine, presentare una analisi originale della responsabilità epistemica dei consumatori di fake news (§3). (shrink)

ABSTRACTAlbert Camus has rarely been considered as a theoretician of democracy. Nonetheless, from the end of the Thirties it is possible to find in his different writings several observations relating to politics and the life of democracy and democracies. The second half of the Forties saw this interest, intertwined with the new post-WWII context, being explicitly dedicated to such subjects in the form of several articles and observations. Through the latter, Camus developed a radical – literally ‘that goes to roots’ (...) – analysis of twentieth century politics, defining an identity between democracy and modesty and using them to face the nihilistic attitude spread by totalitarian regimes and ‘conquering spirits’ within the same western society. Such attention to ‘modesty’ was also defined in direct connection with the idea that Camus developed during the same period on the concept of Art and the role of the artist. According to Camus, the artist – or the ‘eternal girondin’ – is like a democrat who tries to defend pluralism and unity against homologation and totality. Through tracing the historical growth of such a reflection and its relevance in defining some critical issues, this study leads us to a better understanding of contemporary politics and its crisis. (shrink)

You reach for the bowl with ‘sugar’ written on it only to discover, from the bad taste of your coffee, that it contained salt. Mundane experiences like these show that epistemic justification does not necessarily hold stable across possible changes of information. One can be justified in believing a proposition at a certain time (that the bowl contains sugar) and cease to be justified at a later time, as one enlarges one’s epistemic perspective (as one drinks a salty coffee). When (...) this happens, one’s justification has been defeated. An epistemic defeater, broadly speaking, is that in terms of which the defeat of justification proceeds. The notion of an epistemic defeater is mostly associated with J. Pollock’s work on reasoning and inference. Pollock has provided the canonical definition of an epistemic defeater and proposed an influential taxonomy in terms of the way different types of defeaters induce their characteristic effects. The notion of an epistemic defeater has acquired a broader meaning in current epistemology, and several distinctions have been introduced that have contributed to a more nuanced understanding of the phenomenon of defeat as well as to complement Pollock’s original taxonomy. The correlated notion of a propositional defeater, defined in terms of would-be defeat of justification, is appealed to by the proponents of the defeasibility theory in the parallel debate about knowledge to explain what prevents a justified true belief from constituting knowledge in Gettier cases. (shrink)

Betting methods, of which de Finetti's Dutch Book is by far the most well-known, are uncertainty modelling devices which accomplish a twofold aim. Whilst providing an interpretation of the relevant measure of uncertainty, they also provide a formal definition of coherence. The main purpose of this paper is to put forward a betting method for belief functions on MV-algebras of many-valued events which allows us to isolate the corresponding coherence criterion, which we term coherence in the aggregate. Our framework generalises (...) the classical Dutch Book method. (shrink)

Although excluded from the standard account of the history of philosophy, Catharine Trotter Cockburn avoided the 17th-century bias against female intellectual skills and was an active contributor to the early modern philosophical discourse. In her Defence of Mr. Locke’s Essay, she defended Locke from several criticisms by Thomas Burnet. By analysing three of Burnet’s main arguments, such as the theory of natural conscience, his anti-voluntarism, and his belief in the immateriality of the soul, Trotter showed that he often misinterpreted John (...) Locke’s principles, especially those concerning his moral epistemology. Moreover, beyond her apologetic aim, she also presented her own moral philosophy, arguing that the true ground of morality is the rational and social nature of human beings. Although Trotter was clearly inspired by John Locke, her Defence was not simply a vindication, and she was not his mere handmaiden, for her thought was original and independent in many respects. (shrink)

Two conjectures are proposed on Sophocles’ Thyestes (fr. 260a Radt) which restore Sophoclean language and metre.

Gossip has been the object of a number of different studies in the past 50 years, rehabilitating it not only as something worth being studied, but also as a pivotal informational and social structure of human cognition: Dunbar (Rev Gen Psychol 8(2):100–110, 2004) interestingly linked the emergence of language to nothing less than its ability to afford gossip. Different facets of gossip were analyzed by anthropologists, linguists, psychologists and philosophers, but few attempts were made to frame gossip within an epistemological (...) framework (for instance Ayim in (Good gossip, pp. 85–99, 1994)). Our intention in this paper is to provide a consistent epistemological (applied and social) account of gossip, understood as broadly evaluative talk between two or more people, comfortably acquainted between each other, about an absent third party they are both at least acquainted with. Hence, relying on the most recent multidisciplinary literature about the topic, the first part of this paper will concern the epistemic dynamics of gossip: whereas the sociobiological tradition individuates in gossip the clue for the (theoretically cumbersome) group mind and group-level adaptations Wilson et al. (The evolution of cognition, pp. 347–365, 2002), we will suggest the more parsimonious modeling of gossip as a soft-assembled epistemic synergy, understood as a function-dominant interaction able to project a higher organizational level—in our case, the group as group-of-gossips. We will argue that the aim of this synergy is indeed to update a Knowledge Base of social information between the group (as a projected whole) and its members. The second and third part will instead focus on the epistemological labeling of the inferences characterizing gossip: our contention is that the ever-present moral/evaluative dimension in gossip—be it tacit or explicit, concerning the objects or the partners of gossip—is best analyzed through the epistemological framework of abduction. Consequently, we will suggest that a significant role of gossip is to function as a group-based abductive appraisal of social matter, enacted at various levels. (shrink)

The article offers an overview and a critical assessment of the work of Zeev Sternhell, focussing on the questions of fascism and of the anti-Enlightenment tradition. It claims that the career of the Israeli historian revolves around the intuition of a history of European modernity marked by a central opposition: that between the Enlightenment and the anti-Enlightenment. I show how the idea is already present in his initial works, and argue that it produces a specific kind of intellectual history, concerned (...) with the unity of traditions over large temporal horizons. I claim that it has the advantage of offering an historically grounded reading of fascism which nonetheless is capable to account for its emergence in apparently very dissimilar contexts. After having examined some of the shortcomings of this approach, I offer an historical explanation for the type of intellectual history practiced by Sternhell, arguing that it must be tied to his political activism in Israel. (shrink)

Wokeism—as an ideology—is a potent enabler of group polarization. Secondly, polarization among its upholders results from the fact that they often display those behavioral patterns typical of behavioral conformity. Thirdly, groupthink and behavioral conformity jointly lead the upholders of wokeism to disbelieve any view that question theirs.

First aim of this paper is to show that Evidentialism, when paired with a Psychologistic ontology of evidence, is unable to account for ordinary cases of inferential justification. As many epistemologists have maintained, however, when it is paired with a Propositionalist ontology of evidence, Evidentialism is unable to explain in a satisfactory way ordinary cases of perceptual justification. So, the Evidentialist is faced with a dilemma. Second aim of this paper is to give an argument in favour of Propositionalism about (...) evidence, and so to motivate the conclusion that perceptual justification must be accounted for in non-evidentialist terms. By this I do not mean to defend a strongly Non-Evidentialist epistemology, according to which there are doxastic attitudes which are unsupported by any justifier. More modestly, I aim to motivate the weakly Non-Evidentialist epistemology according to which a subject’s perceptual beliefs may be justified by non-evidential justifiers. I conclude the paper by explaining why I believe that Pryor's dogmatism supplies a model for the way in which an internalist who is persuaded by my argument might want to detail her weakly Non-Evidentialist account of perceptual justification. (shrink)

Neuromoral theorists are those who claim that a scientific understanding of moral judgment through the methods of psychology, neuroscience and related disciplines can have normative implications and can be used to improve the human ability to make moral judgments. We consider three neuromoral theories: one suggested by Gazzaniga, one put forward by Gigerenzer, and one developed by Greene. By contrasting these theories we reveal some of the fundamental issues that neuromoral theories in general have to address. One important issue concerns (...) whether the normative claims that neuromoral theorists would like to make are to be understood in moral terms or in non-moral terms. We argue that, on either a moral or a non-moral interpretation of these claims, neuromoral theories face serious problems. Therefore, neither the moral nor the non-moral reading of the normative claims makes them philosophically viable. (shrink)

Starting from the text Cibo ed etica by Franco Riva, this contribution intends to discuss the many questions raised by food ethics by questioning the thought of G.W.F. Hegel and F.W.J. Schelling. In dialogue with these two authors, the essay insists on the category of “hunger” as a characteristic trait of human ontology insofar as it is a figure of the original extroversion and openness to the other.