Mathematicians often describe the importance of well-developed intuition to productive research and successful learning. But neither education researchers nor philosophers interested in epistemic dimensions of mathematical practice have yet given the topic the sustained attention it deserves. The trouble is partly that intuition in the relevant sense lacks a usefully clear characterization, so we begin by offering one: mature intuition, we say, is the capacity for fast, fluent, reliable and insightful inference with respect to some subject matter. We illustrate the (...) role of mature intuition in mathematical practice with an assortment of examples, including data from a sequence of clinical interviews in which a student improves upon initially misleading covariational intuitions. Finally, we show how the study of intuition can yield insights for philosophers and education theorists. First, it contributes to a longstanding debate in epistemology by undermining epistemicism, the view that an agent’s degree of objectual understanding is determined exclusively by their knowledge, beliefs and credences. We argue on the contrary that intuition can contribute directly and independently to understanding. Second, we identify potential pedagogical avenues towards the development of mature intuition, highlighting strategies including adding imagery, developing associations, establishing confidence and generalizing concepts. (shrink)

Within social psychology, group identification refers to a mental process that leads an individual to conceive of herself as a group member. This phenomenon has recently attracted a great deal of attention in the debate about shared agency. In this debate, group identification is appealing to many because it appears to explain important forms of intentionally shared actions in a cognitively unsophisticated way. This paper argues that, unless important issues about group identification are not illuminated, the heuristic function ascribed to (...) this notion for an understanding of shared agency remains dubious at best and unfulfilled at worst. This paper offers such a clarification by distinguishing and describing two different mental processes that constitute group identification: adoption of the group perspective and transformation in self-understanding. It is claimed that the latter process consists in the production of what Ruth Millikan labels “Pushmi-Pullyu representations” and that it is developmentally prior with respect to the ability of adopting the group perspective. (shrink)

We defend a noetic account of intramathematical explanation. On this view, a piece of mathematics is explanatory just in case it produces understanding of an appropriate type. We motivate the view by presenting some appealing features of noeticism. We then discuss and criticize the most prominent extant version of noeticism, due to Inglis and Mejía Ramos, which identifies explanatory understanding with the possession of well-organized cognitive schemas. Finally, we present a novel noetic account. On our view, explanatory understanding arises from (...) meeting specific explanatory objectives. We defend a cluster-concept account of explanatory objectives and identify four important subfamilies within the relevant network of resemblance relations. The resulting view is objectivist (in the sense that it takes explanatory success to be a matter of observer-independent fact), broader in scope than why-question-based accounts, compatible with empirical findings on experts’ explanatory judgments, and capable of generalizing (with appropriate provisos) to scientific explanation as a whole. It thus fulfills Friedman’s half-century-old demand for a general and objectivist theory which accounts for the link between explanation and understanding. (shrink)

In a recent paper, Thomas Szanto develops an account of hatred, according to which the target of this attitude, paradigmatically, is a representative of a group or a class. On this account, hatred overgeneralises its target, has a blurred affective focus, is co-constituted by an outgroup/ingroup distinction, and is accompanied by a commitment for the subject to stick to the hostile attitude. While this description captures an important form of hatred, this paper claims that it does not do justice to (...) the paradigmatic cases of this attitude. The paper puts forward a “singularist” view of hatred, the core idea of which is that, in its simpler form, hatred is to aversively target the other qua this individual person, where the adverb “aversively” expresses the subject’s desire for the target to be annihilated. The conclusion develops some general considerations on the distinction between paradigmatic and marginal instances of an attitude by highlighting its importance for the study of affective phenomena. (shrink)

The chapter contextualizes and reconstructs Walther’s theory of social acts. In her view a given act qualifies as social if it is performed in the name of or on behalf of a community. Interestingly, Walther’s understanding of that notion is patently at odds with the idea of a social act originally propounded by Reinach. According to Reinach, an act is social if it “addresses” other persons and if it, for its success, requires them to grasp it. We claim that to (...) explain Walther’s reconfiguration of this concept, one has to look into the use that Husserl makes of it. Husserl adopts this idea from Reinach to tackle a problem that is not discussed by the latter. This is the problem of how communities, by means of social acts, are “constituted” in consciousness. Walther shares with Husserl the concern about the constitution of communities and her radical revision of Reinach’s idea is presented as an attempt to offer an alternative solution to Husserl’s problem. (shrink)

Within emotion theory, envy is generally portrayed as an antisocial emotion because the relation between the envier and the rival is thought to be purely antagonistic. This paper resists this view by arguing that envy presupposes a sense of us. First, we claim that hostile envy is triggered by the envier's sense of impotence combined with her perception that an equality principle has been violated. Second, we introduce the notion of â hetero-induced self-conscious emotionsâ by focusing on the paradigmatic cases (...) of being ashamed or proud of somebody else. We describe envy as a hetero-induced self-conscious emotion by arguing that the impotence felt by the subject grounds the emotion's self-reflexivity and that the rival impacts the subject's self-assessment because the rival is framed by the subject as an in-group member. Finally, we elaborate on the asset at stake in envy. We contend that this is esteem recognition: The envier covets the esteem that her reference group accords to the rival. Because, in envy, the subject conceives of herself as member of a group to which the other is also understood to belong, we conclude that envy is a social emotion insofar as it presupposes a sense of us. (shrink)

In this study, we analyse the notion of “differential heterogenesis” proposed by Deleuze and Guattari on a morphogenetic perspective. We propose a mathematical framework to envisage the emergence of singular forms from the assemblages of heterogeneous operators. In opposition to the kind of differential calculus that is usually adopted in mathematical-physical modelling, which tends to assume a homogeneous differential equation applied to an entire homogeneous region, heterogenesis allows differential constraints of qualitatively different kinds in different points of space and time. (...) These constraints can then change in time, opening the possibility for new kinds of differential dynamics and the emergence of distinct entities and forms. Formally, we show that operators with different phase spaces can be assembled on the basis of a result of Rothschild & Stein (1976. Hypoelliptic differential operators and nilpotent groups. Acta Mathematica 137. 247–320). Furthermore, operators with different dynamics can be assembled by means of a partition of the unit.After stating the concept of differential heterogenesis in terms of contemporary mathematics, we show that this construction sheds light on the constitution of the semiotic function. In fact, both the Merleau-Pontian and the Deleuzian approaches share a common conceptualisation of the semiotic function and its emergence in terms of amorphodynamics of heterogeneous assemblages with a divergent actualisation. This divergent actualisation allows the co-constitution of various expression and content planes. Finally, we show that the divergent actualisation can be interpreted as the directions of principal eigenvectors of the actualized flow. (shrink)

This article reconstructs and systematically assesses Else’s Voigtländer’s theory of self-feelings. In the first section, I introduce the reader to the basic ideas of this theory by supporting the exegetical claim that the notion of self-feeling encompasses two distinct kinds of experiences: (i) a subject’s long-standing and enduring self-feeling, which is innate and biologically grounded, should be distinguished from (ii) the plurality of episodic self-feelings (or self-conscious emotions) this subject can experience. In the second section, I focus on the particular (...) class of self-feelings that Voigtländer labels as “inauthentic:” these are feelings where the evaluation of the self depends on the evaluations that others have about the self. After elaborating on the morally and epistemically negative connotation Voitgländer attaches to the notion of a feeling’s “inauthenticity,” I reject the generality of her claim in the third section: some social self-feelings are not inauthentic. (shrink)

With the publication of Theorie des kommunikativen Handelns (1981) and of his essays “A Reply to my Critics” (1982), “Diskursethik — Notizen zu einem Bugründungsprogramm” (1983), “Moralbewusstsein und kommunikatives Handeln” (1983), and “Über Moralität und Sitdichkeit — Was macht eine Lebensform ‘rational’?” (1984), Habermas has considerably developed and systematized his views on ethics. Up to Communication and the Evolution of Society (1979), ethics had been of interest to Habermas mainly insofar as certain concepts related to it — such as the (...) ideal speech situation, communicative action, presuppositions of argumentation, etc. — were crucial for the purpose of grounding a universalistic point of view in philosophy and in social theory. (shrink)

In this essay I argue that the notion of religious transcendence was a latecomer in human evolution. It did not appear before the Axial Age, and in its extreme form as a realm of ultimate meanings beyond human reach it had only a locally and temporally bounded existence. Once it appeared, however, the idea of religious transcendence set an evolutionary dynamic in motion, which soon led to various forms of “immanent transcendence,” starting from the “Papal Revolution” and continuing with the (...) Reformation, the Enlightenment, the Kantian notion of the transcendental and its Hegelian and Habermasian modifications. In my conclusion I briefly discuss two alternative versions of modern immanent transcendence—cognitive and exemplary—and their consequences for political philosophy. (shrink)

- Biological and cognitive systems have the capa- bility of developing new goals during phylogenesis of species or during ontogenesis of single individuals. On the other hand, current artificial cognitive systems focus on how achieving a given fixed set of hard-wired goals. They search an optimal solution of a problem, given a set of goals and a set of optimiza- tion criteria. They look for “how” to achieve a given goal. Natural agents develop new goals in order to cope with (...) par- tially unknown and ever changing environment. They must find “what” they want to achieve and not only “how”. The development of new goals on the basis of the interaction with the environment is here defined the “what” problem. The de- velopment of a collection of goals permits to redefine the con- cept of Umwelt in what could be considered the teleological Umwelt of an agent. The objective of this paper is twofold: i) to outline the “what” problem and ii) to describe a robotic archi- tecture capable of addressing it. (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)

In the global world, momentous migratory tides have produced hyper-pluralism on the domestic scale, bringing citizens with radically different conceptions of life, justice and the good to coexist side by side. Conjectural arguments about the acceptance of pluralism, the next best to public reason when shared premises are too thin, may not succeed in convincing all constituencies. What resources, then, can liberal democracy mobilize? The multivariate democratic polity is the original answer to this question, based on an interpretation of Rawls (...) which revisits Political Liberalism in the light of The Law of Peoples . The unscrutinized assumption is highlighted, often read into Rawls’s Political Liberalism , that a polity moves homogeneously and all of a piece from religious conflict to modus vivendi, constitutional consensus and finally to overlapping consensus. Drawing on The Law of Peoples , a different picture can be obtained. (shrink)

L’articolo intende sondare la fondatezza ontologica di una categoria personologica fondamentale, in particolare in ambito ecclesiologico: il “noi”. Tale ricerca si sviluppa soprattutto nella sua rilevanza trinitaria, a partire dall’apporto offerto dal teologo tedesco Heribert Mühlen, il quale, nella sua opera pneumatologica Der Heilige Geist als Person. In der Trinität, bei der Inkarnation und im Gnadenbund: Ich-Du-Wir, approfondisce questo tema insieme ad altre tre parole-chiave: “io”, “tu”, “tra”.

This article explores self-esteem as an episodic self-conscious emotion. Episodic self-esteem is first distinguished from trait self-esteem, which is described as an enduring state related to the subject’s sense of self-worth. Episodic self-esteem is further compared with pride by claiming that the two attitudes differ in crucial respects. Importantly, episodic self-esteem—but not pride—is a function of social esteem: in episodic self-esteem, the subject evaluates herself in the same way in which others evaluate her. Furthermore, social esteem elicits episodic self-esteem if (...) the values at the basis of the others’ evaluation are shared by the subject. Such sharing of values suggests that only the evaluations of those others that the subject frames as her in-group members are relevant to episodic self-esteem. (shrink)

This paper describes a class of social acts called “violent acts” and distinguishes them from damaging acts. The former are successfully performed if they are apprehended by the victim, while the latter, being not social, are successful only as long as the intended damage is realized. It is argued that violent acts, if successful, generate a social relation which include the aggressor, the victim and, if the concomitant damaging act is satisfied, the damage itself.

This article addresses the issue of future cosmopolitanism, building on a minimal reconstruction of what cosmopolitanism has been in the past. It will elucidate the notion of ‘political’ cosmopolitanism in its relation to a certain methodological option which is designated by the shorthand term ‘judgment’. Cosmopolitanism is not a new idea but a new version of it is constituted by ‘political’ cosmopolitanism, bound up with a judgmentbased, as opposed to principle-based, understanding of normativity.

_The traditional landscape of employment, once structured around full-time positions with defined benefits, is experiencing a seismic shift. The gig economy, a burgeoning ecosystem of flexible, on-demand work arrangements, has emerged as a powerful force, reshaping labor markets and blurring the lines between employee and independent contractor. This article delves into the intricate labyrinth of the gig economy, analyzing its multifaceted impacts on workers, businesses, and policymakers. By navigating this labyrinth of potential benefits, challenges, and ethical considerations, we can illuminate (...) the pathways towards harnessing the gig economy's potential while mitigating its risks and ensuring fair and equitable outcomes for all participants._. (shrink)

This article aims at exploring one specific facet of pluralism: How can we conceive of a variety of democratic cultures that are not just local adaptations of one basic western-centric understanding of the democratic ethos? Drawing on Islamic, Jewish, Hindu, Buddhist and Confucian sources, a convergence among diverse democratic cultures is cursorily highlighted on such elements as the priority of the common good, the acceptance of pluralism, the desirability of collegial deliberation, the equality of citizens, and the value of individuality. (...) Then two important points of dissonance are analysed in greater detail – the idea of the priority of rights over duties and the role of political conflict within a democratic polity – and shown not to be correlative with a divide between western and non-western contexts. Finally a typology of 4 kinds of democratic cultures is outlined. (shrink)

In 2020, with the outbreak of the COVID-19 pandemic, academics and scientists began to question the triage criteria for allocating insufficient healthcare resources, trying to ethically justify the answer to the question, Who should receive medical care first? In this article, I will argue that even if we apply triage criteria, we won't be able to avoid the violation of human dignity or of the right to life and to health care. I will then suggest that, maybe, the real ethical (...) triage dilemma lies not in the question, Who should receive medical care first? but in the question, How are we to decide who should receive medical care first? (shrink)