We offer a novel picture of mathematical language from the perspective of speech act theory. There are distinct speech acts within mathematics, and, as we intend to show, distinct illocutionary force indicators as well. Even mathematics in its most formalized version cannot do without some such indicators. This goes against a certain orthodoxy both in contemporary philosophy of mathematics and in speech act theory. As we will comment, the recognition of distinct illocutionary acts within logic and mathematics and the incorporation (...) of illocutionary force indicators in the formal language for both goes back to Frege’s conception of these topics. We are, therefore, going back to a Fregean perspective. This paper is part of a larger project of applying contemporary speech act theory to the scientific language of mathematics in order to uncover the varieties and regular combinations of illocutionary acts present in it. For reasons of space, we here concentrate only on assertive and declarative acts within mathematics, leaving the investigation of other kinds of acts for a future occasion. (shrink)

This paper argues that the path integral formulation of quantum mechanics suggests a form of holism for which the whole (total ensemble of paths) has properties that are not strongly reducible to the properties of the parts (the single trajectories). Feynman’s sum over histories calculates the probability amplitude of a particle moving within a boundary by summing over all the possible trajectories that the particle can undertake. These trajectories and their individual probability amplitudes are thus necessary in calculating the total (...) amplitude. However, not all possible trajectories are differentiable, thus suggesting that they are not physical possibilities, but only mathematical entities. It follows that if the possible differentiable trajectories are taken to be part of the physical system, they are not sufficient to calculate the total probability amplitude. The conclusion is that the total ensemble is weakly non-supervenient upon the physically possible trajectories. (shrink)

Structural representations are increasingly popular in philosophy of cognitive science. A key virtue they seemingly boast is that of meeting Ramsey's job description challenge. For this reason, structural representations appear tailored to play a clear representational role within cognitive architectures. Here, however, I claim that structural representations do not meet the job description challenge. This is because even our most demanding account of their functional profile is satisfied by at least some receptors, which paradigmatically fail the job description challenge. Hence, (...) the functional profile typically associated with structural representations does not identify representational posits. After a brief introduction, I present, in the second section of the paper, the job description challenge. I clarify why receptors fail to meet it and highlight why, as a result, they should not be considered representations. In the third section I introduce what I take to be the most demanding account of structural representations at our disposal, namely Gładziejewski's account. Provided the necessary background, I turn from exposition to criticism. In the first half of the fourth section, I equate the functional profile of structural representations and receptors. To do so, I show that some receptors boast, as a matter of fact, all the functional features associated with structural representations. Since receptors function merely as causal mediators, I conclude structural representations are mere causal mediators too. In the second half of the fourth section I make this conclusion intuitive with a toy example. I then conclude the paper, anticipating some objections my argument invites. (shrink)

In Unfit for the Future, Ingmar Persson and Julian Savulescu present a sophisticated argument in defense of the imperative of moral enhancement. They claim that without moral enhancement, the future of humanity is seriously compromised. The possibility of ultimate harm, caused by a dreadful terrorist attack or by a final unpreventable escalation of the present environmental crisis aggravated by the availability of cognitive enhancement, makes moral enhancement a top priority. It may be considered optimistic to think that our present moral (...) capabilities can be successfully improved by means of moral education, moral persuasion, and fear of punishment. So, without moral enhancement, drastic restrictions on human freedom would become the only alternative to prevent those dramatic potential outcomes. In this article, I will try to show that we still have reason to be less pessimistic and that Persson & Savulescu’s arguments are fortunately unconvincing. (shrink)

By the end of the 1820s, an innovative product was introduced in the northern Italian editorial market: technical and popular periodicals offering “useful knowledge” to a larger audience composed of members of the provincial middle-class, clergymen, and modestly educated craftsmen. By examining their medical content, this paper shows that popularisation did not merely entail disseminating a set of stable, unanimous, and trustworthy medical doctrines; rather, it represented a crucial step in the making of science during a period in which medical (...) theories were still various and contradictory. Moreover, it demonstrates that the environmental and preventative approach to disease, which these medical contributors often employed, did reflect recent developments in chemical or physical knowledge and responded to pedagogical and informative goals; but it mostly served to affirm the social usefulness of medicine and the legitimacy of health professionals' participation in determining how to regulate more general epidemiologic, social, and political issues. (shrink)

The COVID-19 outbreak has seen people in many countries asked to radically modify their way of life in compliance with sweeping safety measures. During the current crisis, technology is turning out to be key, in that it allows practitioners to deliver psychological services to people who would otherwise be unreachable. However, professionals cannot solely rely on their traditional modes of practice, in that different methods are required to bring to light the needs of those affected by the emergency. People are (...) being overwhelmed by a cascade of unusual and unexpected events that are putting a strain on their everyday routines and usual meaning-making systems; ongoing challenges to their employment and financial status will likely divert personal resources away from psychological well-being. We therefore argue that psychologists should also consider the needs of the general population. Among those who may require help – aside from the main targets of psychological intervention, such as healthcare personnel and COVID-19 patients and their relatives – specific attention should be paid to those who are not at the center of the crisis. We suggest that this large segment of potential users may benefit from a non-medical approach focused on the promotion of meaning-making processes. Indeed, the disruptive nature of the current situation hinders sense-making and threatens to undermine psychological balance and well-being, at an individual as well as at a societal level. The present article proposes a methodological perspective based on the reconstruction of meaning-making processes (sense of coherence, predictability, metaphors, narratives). Specifically, psychological interventions should promote personal and collective resources with a view to: “normalizing” current distressful experiences (i.e., acknowledging that such reactions are normal in light of the present situation); widening the observational field, taking relational contexts into account, and promoting an understanding of distressful experiences as coping strategies; fostering meaning-making/reconstruction processes through the use of appropriate metaphors and narratives; promoting a sense of coherence. We present two clinical vignettes to illustrate how these principles might be applied in practice. In conclusion, the exceptional psychological challenges posed by the COVID-19 pandemic require practitioners to adopt a broad and flexible perspective on clinical intervention. (shrink)

Teodicea e relazione. La teologia come garanzia di giustizia nella dialettica tra ordine e libero arbitrio. Teodicy and relationship. The theology as guarantee of justice in the dialectics between order and free will.

Most of the arguments usually appealed to in order to support the view that some abstraction principles are analytic depend on ascribing to them some sort of existential parsimony or ontological neutrality, whereas the opposite arguments, aiming to deny this view, contend this ascription. As a result, other virtues that these principles might have are often overlooked. Among them, there is an epistemic virtue which I take these principles to have, when regarded in the appropriate settings, and which I suggest (...) to call ‘epistemic economy’. My purpose is to isolate and clarify this notion by appealing to some examples concerning the definition of natural and real numbers. (shrink)

We investigate the major mathematical theories of space from a modal standpoint: topology, affine geometry, metric geometry, and vector algebra. This allows us to see new fine-structure in spatial patterns which suggests analogies across these mathematical theories in terms of modal, temporal, and conditional logics. Throughout the modal walk through space, expressive power is analyzed in terms of language design, bisimulations, and correspondence phenomena. The result is both unification across the areas visited, and the uncovering of interesting new questions.

Inspired by the literature on extended/scaffolded mind, a debate concerning the contribution of extra-bodily resources to our (extended) emotions is recently gaining traction. Within this debate, inspired by the literature on cognitive artifacts introduces the notion of “affective artifacts”, indicating those objects that exert persistent effects on our feelings, possibly altering our self. However, by focusing on feelings, this notion neglects other facets of emotional episodes. Following Scarnatino’s tripartition between feeling, appraisal, and motivational theories of emotion, I present three varieties (...) of affective artifacts: Feeling, Evaluative and Motivational Artifacts. (shrink)

Experimental balance is usually understood as the control for the value of the conditions, other than the one under study, which are liable to affect the result of a test. We discuss three different approaches to balance. ‘Millean balance’ requires identifying and equalizing ex ante the value of these conditions in order to conduct solid causal inferences. ‘Fisherian balance’ measures ex post the influence of uncontrolled conditions through the analysis of variance. In ‘efficiency balance’ the value of the antecedent conditions (...) is decided ex ante according to the efficiency they yield in the estimation of the treatment outcome. Against some old arguments by Worrall, we show that in both Fisherian and efficiency balance there are good reasons to randomize the allocation of treatments, in particular when there is no agreement among experimenters as to the antecedent conditions to be controlled for. (shrink)

Munch-Jurisic’s book thoroughly describes several cases of severe distresses reported and expressed by perpetrators of tremendous acts such as mass murders. Arguing against a simplistic reading according to which these signs of distress are straightforward manifestations of some innate moral nature, and against the optimistic reading according to which they will lead to prosocial behaviors, Munch-Jursic offers compelling reasons to adopt a more complex theory of emotion. In this commentary, I aim to stress the implications of her book for the (...) debate on moral enhancement and for emotion theory in general. However, while I concur with Munch-Jurisic that emotion theory must make room for complexity and indeterminacy, I challenge her claim that motivational theories of emotion are ill-equipped to face the challenges she poses. (shrink)

Are concepts stable entities, unchanged from context to context? Or rather are they context-dependent structures, created on the fly? We argue that this does not constitute a genuine dilemma. Our main thesis is that the more a pattern of features is general and shared, the more it qualifies as a concept. Contextualists have not shown that conceptual structures lack a stable, general core, acting as an attractor on idiosyncratic information. What they have done instead is to give a contribution to (...) the comprehension of how conceptual structure organized around such a stable core can produce contextually appropriate representations on demand. (shrink)

Cuando hablamos de iconos nos referimos a representaciones que producen un cierto impacto en nosotros aunque no sean perfectas; del icono se esperan armonía, belleza, simplicidad. Cuando el icono no es una imagen sino una persona humana, se convierte en referente: observamos aspectos de su personalidad con los que nos identificamos aunque nos coincidan exactamente con los nuestros. A lo largo de la historia de la ciencia, las mujeres han sido iconos referenciales fundamentalmente por dos cosas, su calidad humana y (...) su excelencia científica. (shrink)

In considering what it means to lead organizations effectively and ethically, the literature comprising spirituality at work and spiritual leadership theory has become highly influential, especially in the USA. It has also attracted significant criticism. While in this paper, we endorse this critique, we argue that the strand of literature which purportedly takes a Christian standpoint within the wider SAW school of thought, largely misconstrues and misapplies the teaching of its founder, Jesus. As a result, in dismissing the claims and (...) application of SAW and SLT, there is a real risk that we lose the vital contribution of Christian thought, not least some of the timeless counter-cultural wisdom of Jesus which, we contend, offers a vital foundation to the practice of ethical leadership and business ethics in organizations. In proposing a way forward, two thorny issues which face all leaders are addressed: dealing with ego and closing the gap between what we say and what we do. The more we understand about the dynamics of human nature, the more we learn about the profundity of Jesus’ teachings. We then propose a number of ways in which Jesus-centred ethical leadership can be practised. Each is radical and each implies risk: both the personal risk of inner renewal arising from repentance as a doorway to personal integrity, as well as the risk of opposing unethical practices and promoting the excellence of core practices in the workplace. (shrink)

In their attempt to connect the workings of the human mind with their neural realizers, cognitive neuroscientists often bracket out individual differences to build a single, abstract model that purportedly represents (almost) every human being’s brain. In this paper I first examine the rationale behind this model, which I call ‘Platonic Brain Model’. Then I argue that it is to be surpassed in favor of multiple models allowing for patterned inter-individual differences. I introduce the debate on legitimate (and illegitimate) ways (...) of mapping neural structures and cognitive functions, endorsing a view according to which function-structure mapping is context-sensitive. Building on the discussion of the ongoing debate on the function(s) of the so-called Fusiform “Face” Area, I show the necessity of indexing function-structure mappings to some populations of subjects, clustered on the basis of factors such as their expertise in a given domain. (shrink)

We prove that the category of Nachbin’s compact ordered spaces and order-preserving continuous maps between them is dually equivalent to a variety of algebras, with operations of at most countable arity. Furthermore, we observe that the countable bound on the arity is the best possible: the category of compact ordered spaces is not dually equivalent to any variety of finitary algebras. Indeed, the following stronger results hold: the category of compact ordered spaces is not dually equivalent to any finitely accessible (...) category, any first-order definable class of structures, and any class of finitary algebras closed under products and subalgebras. An explicit equational axiomatisation of the dual of the category of compact ordered spaces is obtained; in fact, we provide a finite one, meaning that our description uses only finitely many function symbols and finitely many equational axioms. In preparation for the latter result, we establish a generalisation of a celebrated theorem by Mundici: our result—whose proof is independent of Mundici’s theorem—asserts that the category of unital commutative distributive lattice-ordered monoids is equivalent to the category of what we call MV-monoidal algebras.Abstract taken directly from the thesis.E-mail: marco[email protected]: https://air.unimi.it/retrieve/handle/2434/812809/1698986/phd_unimi_R11882.pdf. (shrink)

Recent discussions on Fregean and neo-Fregean foundations for arithmetic and real analysis pay much attention to what is called either ‘Application Constraint’ ($AC$) or ‘Frege Constraint’ ($FC$), the requirement that a mathematical theory be so outlined that it immediately allows explaining for its applicability. We distinguish between two constraints, which we, respectively, denote by the latter of these two names, by showing how$AC$generalizes Frege’s views while$FC$comes closer to his original conceptions. Different authors diverge on the interpretation of$FC$and on whether it (...) applies to definitions of both natural and real numbers. Our aim is to trace the origins of$FC$and to explore how different understandings of it can be faithful to Frege’s views about such definitions and to his foundational program. After rehearsing the essential elements of the relevant debate (§1), we appropriately distinguish$AC$from$FC$(§2). We discuss six rationales which may motivate the adoption of different instances of$AC$and$FC$(§3). We turn to the possible interpretations of$FC$(§4), and advance a Semantic$FC$(§4.1), arguing that while it suits Frege’s definition of natural numbers (4.1.1), it cannot reasonably be imposed on definitions of real numbers (§4.1.2), for reasons only partly similar to those offered by Crispin Wright (§4.1.3). We then rehearse a recent exchange between Bob Hale and Vadim Batitzky to shed light on Frege’s conception of real numbers and magnitudes (§4.2). We argue that an Architectonic version of$FC$is indeed faithful to Frege’s definition of real numbers, and compatible with his views on natural ones. Finally, we consider how attributing different instances of$FC$to Frege and appreciating the role of the Architectonic$FC$can provide a more perspicuous understanding of his foundational program, by questioning common pictures of his logicism (§5). (shrink)

In his article, ‘Social constructionism and climate science denial’, Hansson claims to present empirical evidence that the cultural theory developed by Dame Mary Douglas, Aaron Wildavsky and ourselves leads to science denial. In this reply, we show that there is no validity to these claims. First, we show that Hansson’s empirical evidence that cultural theory has led to climate science denial falls apart under closer inspection. Contrary to Hansson’s claims, cultural theory has made significant contributions to understanding and addressing climate (...) change. Second, we discuss various features of Douglas’ cultural theory that differentiate it from other constructivist approaches and make it compatible with the scientific method. Thus, we also demonstrate that cultural theory cannot be accused of epistemic relativism. (shrink)

Radical enactivists claim that cognition is split in two distinct kinds, which can be differentiated by how they relate to mental content. In their view, basic cognitive activities involve no mental content whatsoever, whereas linguistically scaffolded, non-basic, cognitive activities constitutively involve the manipulation of mental contents. Here, I evaluate how this dichotomy applies to imagination, arguing that the sensory images involved in basic acts of imaginations qualify as vehicles of content, contrary to what radical enactivists claim. To argue so, I (...) leverage what has appropriately been dubbed a “compare to prototype” argument. Hence, I will first identify, within the enactivist literature, the general functional profile of a vehicle of content complying with the austere standard of contentfulness radical enactivists adhere to. Provided such a profile, I will show, relying on a mixture of reasoning and empirical evidence, that basic sensory images satisfy it, and thus that they can rightfully be identified as vehicles of content. This, I claim, provides a sufficient reason to identify the sensory images involved in basic acts of imagination as vehicles of content, thereby denying that basic imagination does not involve mental content. (shrink)

Neurointerventions—interventions that physically or chemically modulate brain states—are sometimes imposed on criminal offenders for the purposes of diminishing the risk that they will recidivate, or, more generally, of facilitating their rehabilitation. One objection to the nonconsensual implementation of such interventions holds that this expresses a disrespectful message, and is thus impermissible. In this paper, we respond to this objection, focusing on the most developed version of it—that presented by Elizabeth Shaw. We consider a variety of messages that might be expressed (...) by nonconsensual neurointerventions. Depending on the message, we argue either that such interventions do not invariably express this message, that expressing this message is not invariably disrespectful, or that the appeal to disrespect is redundant. (shrink)

Two-thirds of global industrial greenhouse gas emissions over the past two centuries can be traced to the activities of a handful of companies (‘carbon majors'). Based on their direct contribution to climate change in terms of carbon emissions and on a number of morally relevant facts, this article proposes a normative framework to establish the responsibilities that carbon majors have in relation to climate change. Then, the analysis articulates these responsibilities in the form of two duties: a duty of decarbonisation (...) and a duty of reparation. The duty of decarbonisation entails a large-scale transformation that carbon majors ought to undergo in order to reduce and eventually eliminate carbon emissions from their entire business model. The duty of reparation implies rectification through disgorgement of funds for the wrongful actions of carbon majors, which resulted in negative climate impacts, starting from the most socially vulnerable groups affected by climate change. Finally, the article indicates possible practical implications of these duties. (shrink)

Over the past decades, the notions of organic form and morphology—a scientific field historically associated with the eighteenth century polymath Johann Wolfgang von Goethe —have stealthy re-assumed a central role in various scientific disciplines. Although the study of organic form was apparently excluded from the main stage of evolutionary theory and biological sciences during the second half of the twentieth century, since morphology was considered as a descriptive and ancillary science unable to contribute to the neo-Darwinian synthesis of evolution1, morphological (...) concepts and approaches have now been re-brought onto the central stage of mainstream science.2In fact, several interdisciplinary... (shrink)

In the epistemological tradition, there are two main interpretations of the semantic relation that an empirical theory may bear to the real world. According to realism, the theory-world relationship should be conceived as truth; according to instrumentalism, instead, it should be limited to empirical adequacy. Then, depending on how empirical theories are conceived, either syntactically as a class of sentences, or semantically as a class of models, the concepts of truth and empirical adequacy assume different and specific forms. In this (...) paper, we review two main conceptions of truth (one sentence-based and one model-based) and two of empirical adequacy (one sentence-based and one model-based), we point out their respective difficulties, and we give a first formulation of a new general view of the theory-world relationship, which we call Methodological Constructive Realism (MCR). We then show how the content of MCR can be further specified and expressed in a definite and precise form. The bulk of the paper shows in detail how it is possible to accomplish this goal for the special case of deterministic dynamical phenomena and their correlated deterministic models. This special version of MCR is formulated as an axiomatic extension of set theory, whose specific axioms constitute a formal ontology that provides an adequate framework for analyzing the two semantic relations of truth and empirical correctness, as well as their connections. (shrink)

This book is about the identity theory in contemporary philosophy of mind containing a long essay of mine and the italian translations of some remarkable contributions by Place. Armstrong, Smart, Lewis, McGinn, Jackson.

Tomas Aquinas defined truth as the correspondence between things and understanding. Castro Alves paints the horror of the slave nautical traffic. In his essay On the Concept of History, Walter Benjamin reminds us: “The tradition of the oppressed teaches us that the ‘emergency situation’ in which we live is the rule.” This ‘emergency situation’ was Fascism. Albert Camus defended his romance La Peste against the accusation of Roland Barthes that is was “dehors de l’histoire”, pointing out that it was not (...) only about the recent historical phenomenon of Fascism, but also about the permanent risk of its rebirth. Agnes Heller associates faith with prejudice and alienation. The following article will explore the Thomist concept of truth, Benjamin’s concept of history, Camus’ allegory of the plague, Agnes Heller’s notion of faith and Castro Alves’ powerful denouncement of slave traffic, to better criticize the phenomenon of post-truth, a rebirth of fascist information practices. (shrink)