I argue that recent attempts to deflect Access Problems for realism about a priori domains such as mathematics, logic, morality, and modality using arguments from evolution result in two kinds of explanatory overkill: the Access Problem is eliminated for contentious domains, and realist belief becomes viciously immune to arguments from dispensability, and to non-rebutting counter-arguments more generally.

The existence of fundamental moral disagreements is a central problem for moral realism and has often been contrasted with an alleged absence of disagreement in mathematics. However, mathematicians do in fact disagree on fundamental questions, for example on which set-theoretic axioms are true, and some philosophers have argued that this increases the plausibility of moral vis-à-vis mathematical realism. I argue that the analogy between mathematical and moral disagreement is not as straightforward as those arguments present it. In particular, I argue (...) that pluralist accounts of mathematics render fundamental mathematical disagreements compatible with mathematical realism in a way in which moral disagreements and moral realism are not. 11. (shrink)

In presenting self-preservation as the most general law of nature, set at the summit of the structure of the natural world, Francis Bacon characterized the universal appe- tite for self-preservation as an innate instinct which, in the case of living beings, is primarily associated with the emotion of fear. Bacon’s philosophy offers several tech- niques of self-care to manage the fear of accidents of fortune from which the existence and well-being of the self is under constant threat. This article reconstructs (...) Bacon’s treatment of divinatory arts and their contributions to self-care. We will explore how he adopts traditional divinatory arts and reforms them: oneirocritics, physiognomy, and astrology. We will contend that Bacon’s approach to divinatory arts as techniques for self-care and the management of fortune shows some salient points shared with his natural philosophy: in both cases, the approach is hermeneutical, with the goal of exerting human power. With regard both to nature and to fortune, however, our power to modify the state of things extends only so far. The range of decisions we can make is not unlimited but encompasses only what is “in our power,” that is, what depends on us. (shrink)

This article presents the first, systematic analysis of the ethical challenges posed by recommender systems through a literature review. The article identifies six areas of concern, and maps them onto a proposed taxonomy of different kinds of ethical impact. The analysis uncovers a gap in the literature: currently user-centred approaches do not consider the interests of a variety of other stakeholders—as opposed to just the receivers of a recommendation—in assessing the ethical impacts of a recommender system.

This book draws on Iris Murdoch's philosophy to explore questions related to the importance of attention in ethics. In doing so, it also engages with Murdoch's ideas about the existence of a moral reality, the importance of love, and the necessity but also the difficulty, for most of us, of fighting against our natural self-centred tendencies. Why is attention important to morality? This book argues that many moral failures and moral achievements can be explained by attention. Not only our actions (...) and choices, but the possibilities we choose among, and even the meaning what we perceive, are to a large extent determined by whether we pay attention, and what we attend do. In this way, the book argues that attention is fundamental, though often overlooked, in morality. While the book's discussion of attention revolves primarily around Murdoch's thought, it also engages significantly with Simone Weil, who introduced the concept of attention in a spiritual context. The book also engages with contemporary debates concerning moral perception and motivation, empirical psychology, animal ethics, and Buddhist philosophy. The Ethics of Attention will be of interest to researchers and advanced students working on Iris Murdoch, Simone Weil, ethics and moral psychology, and the philosophy of attention. (shrink)

Drawing an analogy between modal structuralism about mathematics and theism, I o er a structuralist account that implicitly de nes theism in terms of three basic relations: logical and metaphysical priority, and epis- temic superiority. On this view, statements like `God is omniscient' have a hypothetical and a categorical component. The hypothetical component provides a translation pattern according to which statements in theistic language are converted into statements of second-order modal logic. The categorical component asserts the logical possibility of the (...) theism struc- ture on the basis of uncontroversial facts about the physical world. This structuralist reading of theism preserves objective truth-values for theistic statements while remaining neutral on the question of ontology. Thus, it o ers a way of understanding theism to which a naturalist cannot object, and it accommodates the fact that religious belief, for many theists, is an essentially relational matter. (shrink)

Pluralist mathematical realism, the view that there exists more than one mathematical universe, has become an influential position in the philosophy of mathematics. I argue that, if mathematical pluralism is true (and we have good reason to believe that it is), then mathematical realism cannot (easily) be justified by arguments from the indispensability of mathematics to science. This is because any justificatory chain of inferences from mathematical applications in science to the total body of mathematical theorems can cover at most (...) one mathematical universe. Indispensability arguments may thus lose their central role in the debate about mathematical ontology. (shrink)

It is well-established that algorithms can be instruments of injustice. It is less frequently discussed, however, how current modes of AI deployment often make the very discovery of injustice difficult, if not impossible. In this article, we focus on the effects of algorithmic profiling on epistemic agency. We show how algorithmic profiling can give rise to epistemic injustice through the depletion of epistemic resources that are needed to interpret and evaluate certain experiences. By doing so, we not only demonstrate how (...) the philosophical conceptual framework of epistemic injustice can help pinpoint potential, systematic harms from algorithmic profiling, but we also identify a novel source of hermeneutical injustice that to date has received little attention in the relevant literature: epistemic fragmentation. Epistemic fragmentation is a structural characteristic of algorithmically-mediated environments that isolate individuals, making it more difficult to develop, uptake and apply new epistemic resources. This, in turn, can impede the identification and conceptualisation of emerging harms in these environments. We trace the occurrence of hermeneutical injustice back to the fragmentation of the epistemic experiences of individuals, who are left more vulnerable by the inability to share, compare, and learn from shared experiences. (shrink)

This paper explores how a set of observations on the weight of lead were interpreted and assessed between the 1540s and the 1630s across three different interconnecting disciplines: medicine, mineralogy and chemistry. The epistemic import of these discussions will be demonstrated by showing: 1) the changing role and articulation of experience and quantification in the investigation of metals; and 2) the notions associated with weight in different disciplinary frameworks. In medicine and mineralogy, weight was not considered as a specific subject (...) of inquiry in itself, but as a “sign” indicating other relevant properties of metals. In contrast, the chemistry tradition was increasingly concerned with the specific investigation of weight as a property of matter, as seen in the debates that took place in the “chemical revolution.” In addition, this study will reveal the versatility, polysemy, and parallel purposes of the recourse to experiential knowledge in different contexts, where the same “facts” operate within different disciplines. (shrink)

Attention, for Iris Murdoch, is a central concept in more than one sense. On the one hand, it appears to be one of the keys, if not the key, to goodness, the task of the moral subject, and the pre-requisite for right action. On the other, attention can function as the hinge around which Murdoch’s general ethical worldview (including psychology and metaphysics) can be made to revolve, and through which it turns away from the mainstream contemporary philosophy of her time. (...) Overwhelmingly inspired by Simone Weil, Murdoch presents attention as a truth-seeing and truth-discovering attitude and activity, animated by Platonic eros. (shrink)

In the last few decades, the historiographical categories rationalism and empiricism have been criticized for their limitations to explain the complex positions and the links held by the philosophers tradiotnally attached to them. This narrative was firstly conceived by Kantian German historians and began to become standard at the turn of the twentieh century. Nonetheless, nineteenth-century French historiography developed other narratives by which early modern philosophers were classified according to alternative criteria. In the first edition of Histoire comparée des systémes (...) de philosophie (1804), Joseph-Marie Degérando distinguishes three first-order early modern schools founded by Bacon, Descartes and Leibniz, respectively. Degérando introduces the empiricism and rationalism distinction as one among others, and not as the fundamental one. In addition, he separates empiricism from experimental philosophy. The last one, along with speculative philosophy, is said to conciliate senses and reason. As a result, this account offers philosophical groupings different from those constructed by the standard narrative. Furthermore, it draws on labels and classification criteria which were part of the early modern philosophical discourse. (shrink)

This essay provides an overview of the ways in which contemporary philosophers have tried to make sense of ineffability as encountered in aesthetic contexts. Section 1 sets up the problem of aesthetic ineffability by putting it into historical perspective. Section 2 specifies the kinds of questions that may be raised with regard to aesthetic ineffability, as well as the kinds of answer each one of those questions would require. Section 3 investigates arguments that seek to locate aesthetic ineffability within the (...) object of aesthetic experiences, i.e. within aesthetic content. Section 4 discusses arguments that seek to locate aesthetic ineffability within the subject of aesthetic experience. (shrink)

This article analyses the ethical aspects of multistakeholder recommendation systems (RSs). Following the most common approach in the literature, we assume a consequentialist framework to introduce the main concepts of multistakeholder recommendation. We then consider three research questions: who are the stakeholders in a RS? How are their interests taken into account when formulating a recommendation? And, what is the scientific paradigm underlying RSs? Our main finding is that multistakeholder RSs (MRSs) are designed and theorised, methodologically, according to neoclassical welfare (...) economics. We consider and reply to some methodological objections to MRSs on this basis, concluding that the multistakeholder approach offers the resources to understand the normative social dimension of RSs. (shrink)

In this paper I consider Simone Weil’s notion of attention as the fundamental and necessary condition for mystical experience, and investigate Iris Murdoch’s secular adaptation of attention as a moral attitude. After exploring the concept of attention in Weil and its relation to the mystical, I turn to Murdoch to address the following question: how does Murdoch manage to maintain Weil’s idea of attention, even keeping the importance of mysticism, without Weil’s religious metaphysical background? Simone Weil returns to the importance (...) of attention throughout her writing. To attend, for Weil, means to empty oneself of all that is personal, primarily one’s will, which Weil sees as the essence of the human individual. This act imitates God’s act of creation, considered as a withdrawal in order to let something other than himself exist. Since such withdrawal represents God’s supreme act of love, salvation for human beings lies in the attempt to do likewise. By giving up one’s will, while desiring God with all of one’s soul, one creates the conditions for God to descend into the soul. This ‘passive activity’ is attention. Weil’s writings had a deep impact on Iris Murdoch’s moral philosophy. In particular, Weil’s concept of attention is carried into Murdoch’s thought almost unchanged, with one striking exception: the absence of God in Murdoch’s system. Just as surprisingly, Murdoch at the same time maintains that mysticism and spirituality are crucial for morality, nor does she wish to sever the connection between attention and mysticism. Is Murdoch being inconsistent? I believe not. But the idea of attention as a mystical concept, within a metaphysics which has no room for God, requires further examination. For Murdoch, attention is the central capacity of the morally good person. Attention is, like in Weil, connected with an emptying of the self (for Murdoch the Ego) and a renunciation of will, in order to let something external make an impression in the subject. However, in Murdoch’s philosophy such external impression is not given by God, but by reality itself. Thus far, it appears, the notion of mysticism would be unnecessary. Yet for Murdoch reality is not something that we passively perceive, but something that requires a moral faculty – attention – made up of selflessness and desire for the good, in order to be apprehended. Two elements of mysticism then begin to surface: firstly, apprehension of reality requires a faculty that is not purely intellectual, but that involves the whole of the individual, including intuitions that one may be unable to explain (which Murdoch is happy to call ‘the soul’); secondly, the reality thus apprehended is considered as transcendent, insofar as its truth, infinitely distant, transcends the individual’s complete grasp. Thus the mystic, in Murdoch’s system, is regarded as an ideal moral person, not because s/he is guided by God, but because of his/her selfless ability to attend to the world beyond oneself and intuit its moral and metaphysical truth. (shrink)

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)

ABSTRACT Francis Bacon and René Descartes have traditionally been presented as leaders of opposed philosophical currents. However, more and more studies show important continuities between their philosophies. This article explores one of them: their perspectives on medicine. The dominion over nature and the instinct for self-preservation are the central elements of the theoretical framework within which they inserted their assessments of medicine. Medicine is valued as the most outstanding discipline for its benefits for the care of the human being. Departing (...) from this start-point, one finds further coincidences about the status, practice, and reform of medicine. (shrink)

In the period of emergence of early modern science, ‘monsters’ or individuals with physical congenital anomalies were considered as rare events which required special explanations entailing assumptions about the laws of nature. This concern with monsters was shared by representatives of the new science and Late Scholastic authors of university textbooks. This paper will reconstruct the main theses of the treatment of monsters in Late Scholastic textbooks, by focusing on the question as to how their accounts conceived nature’s regularity and (...) teleology. It shows that they developed a naturalistic teratology in which, in contrast to the naturalistic explanations usually offered by the new science, finality was at central stage. This general point does not impede our noticing that some authors were closer to the views emerging in the Scientific Revolution insofar as they conceived nature as relatively autonomous from God and gave a relevant place to efficient secondary causation. In this connection, this paper suggests that the concept of the laws of nature developed by the new science –as exception-less regularities—transferred to nature’s regularity the ‘strong’ character that Late Scholasticism attributed to finality and that the decline of the Late Scholastic view of finality played as an important concomitant factor permitting the transformation of the concept of laws of nature. (shrink)

Este capítulo se propone explorar cómo el replanteo de las causas finales en la ciencia natural suscitado por la Revolución Científica impactó en el desarrollo del materialismo y el ateísmo del Siglo de las luces. Con el surgimiento de la ciencia moderna en Europa, en el siglo XVII ocurrieron cambios sustantivos en la concepción de la causalidad. Ciertos estudios pioneros sobre el tema, sostenían que la nueva ciencia anulaba las causas finales y establecía que todos los fenómenos naturales debían explicarse (...) en términos de materia y movimiento (Burtt, 1952:98‒99; Schmitt, 1983:5). Más tarde, otros especialistas —con argumentos más sólidos y pruebas más convincentes— mostraron que la causalidad final no fue anulada por completo; siguió presente en muchos autores, aunque ya no como parte indispensable de la explicación científica, sino como un componente ontológico de la naturaleza (Osler, 1996 y 2001). Ahora bien, ¿qué sucedió con las causas finales en el siglo XVIII europeo, época de profundas turbulencias políticas y controversias filosóficas, en la cual el materialismo, el ateísmo y el deísmo fueron ganando terreno? Para hacer un recorte dentro de la vasta variedad de posiciones existentes en este escenario, comenzaremos por repasar la posición sobre las causas finales de Francis Bacon (1561‒1626), quien fue una figura muy influyente en la Ilustración. 2 Luego, analizaremos la recepción de esa posición por parte de algunos autores británicos (D. Stewart, S. Parker) y franceses en el siglo XVIII (D'Alembert, Naigeon, Diderot, Cabanis). (shrink)

Francis Bacon’s theory of matter is a controversial topic among historians. I agree with the viewpoint, which suggests that although Bacon changed his views on atomism repeatedly, he never rejected it completely (Partington, Urbach, Gemelli). I will substantiate this interpretation by paying more attention to the usually neglected allegorical works and by investigating why Bacon changed his mind on atomism in his Novum organum. I shall reconstruct Bacon’s various opinions in chronological order to establish his final evaluation of atomism and (...) his reasons for it. Given that Bacon never embraced a matter theory identical with Greek atomism, I shall here define atomism in the broadest sense, as a corpuscular matter theory that posits final and indivisible particles. Following this semantic delimitation, two successive Baconian opinions will be distinguished: the first took the atom to constitute an ontological and causative-operational principle; the second deprived the atom of this causative-operational ability, but did not touch its ontological priority. At the same time, I will investigate the question concerning the coexistence of atomism and pneumatism in Bacon’s theory, a point that has been discussed in the influential interpretations by Kargon and Rees. I shall argue that Bacon did not regard these two doctrines as incompatible. (shrink)

The historiographical narrative describing early modern European philosophy as the confrontation between rationalism and empiricism and its overcoming through the Kantian synthesis had a huge spread in Argentina. This article investigates the genesis of this traditional account in the universities of Córdoba, Buenos Aires and La Plata between 1780 and 1920. It offers an introduction concerning the formation of this narrative in Europe and a survey of the teaching of early modern philosophy in Argentina during that period. It concludes that, (...) although some of its components are found during the nineteenth century, it was only in the second decade of the twentieth century that the traditional narrative was formulated in its entirety, in parallel with the introduction of Kantianism in Argentine. However, the construction of this narrative is not merely explained by this fact but also by the weight that the history of philosophy gained in the syllabus as part of the demands involved in the shaping of the academic philosophical field. Finally, this paper suggests ways to reconfigure and renew the canon. (shrink)

Os escritos de Francis Bacon dedicados à filosofia abundam em imagens, metáforas, comparações e alegorias destinadas a ilustrar e apresentar com eloquência suas ideias. Solidamente formado na cultura humanista de seu tempo, Bacon adotou com destreza os recursos da retórica e nutriu-se de um amplo espectro da literatura clássica greco-latina, assim como também dos escritos bíblicos. Em especial, a mitologia clássica (a que dedicou seu De sapientia veterum (1609) - Da sabedoria dos antigos) foi um de seus recursos predilteos na (...) hora de valer-se de alegorias para tornar acessível a um público amplo e não especializado os conteúdos mais inovadores, profundos e abstrusos de sua filosofia.1 Tudo isso converte algumas de suas obras em excelentes peças da literatura filosófica, nas quais Bacon põe em prática sua grande plasticidade como escritor, que, delicadamente e sem tropeços, transporta seus leitores da beleza da poesia e fantasia para os conceitos mais abstratos, sempre em busca de representar suas ideias filosóficas e de transformar a realidade por meio delas. Neste texto, apresentarei brevemente algumas das imagens pelas quais ele quis retratar aspectos fundamentais do seu projeto de restauração do saber. (shrink)

L’identité et la datation de Nicolas le Péripatéticien, l’auteur d’un sommaire de la philosophie d’Aristote, ont fait l’objet d’un article récent de Silvia Fazzo paru dans la Revue des Études Grecques. Contre la datation courante, fondée sur l’identification de Nicolas à l’historien de grand renom Nicolas Damascène , Fazzo a montré que Nicolas avait probablement vécu au cours de la période couvrant les IIIe au Ve siècles ap. J.-C., et plus problablement à l’époque de l’empereur Julien l’Apostat . Cette (...) hypothèse trouve un appui dans un nouveau fragment en traduction hébraïque découvert par Mauro Zonta, dans lequel Nicolas cherche à expliquer la Trinité de Dieu au moyen de la doctrine aristotélicienne des causes: Dieu est un, en tant que sa substance est une, mais Dieu est également trois, puisqu’il est à la fois causes motrice, formelle et finale du monde. Dans la mesure, évidemment réduite, où un fragment si court est susceptible de datation, l’époque de Julien paraît la plus probable. (shrink)

Broadly speaking, “empiricism” is a label that usually denotes an epistemological view that emphasizes the role that experience plays in forming concepts and acquiring and justifying knowledge. In contemporary philosophy, there are some authors who call themselves as empiricists, although there are differences in the way they define what experience consists in, how it is related to theory, and the role experience plays in discovering and justifying knowledge, etc. (e.g., Ayer 1936; Van Fraassen 2002). In contrast, in the early modern (...) period, empiricism was not a label that philosophers traditionally characterized until nowadays as empiricists (most famously, John Locke, George Berkeley, and David Hume) used to describe their doctrines. Indeed, as attributed to early modern philosophical authors, empiricism is not an actor’s category, but an analytic historiographical category retrospectively applied to them and confronted to rationalism, whose main representatives were considered to be Rene Descartes, Baruch Spinoza, and G.W. Leibniz. Such a narrative began to be established by the late nineteenthcentury and described early modern empiricism as an epistemological stance maintaining (1) that the origin of all mental contents lies in experience (a genetic statement), and (2) that knowledge can only be justified a posteriori (an epistemic statement). This entails that empiricists deny the existence of innate mental contents and the possibility of a purely a priori knowledge. In the history of early modern science such a dichotomy has been usually rendered in terms of the opposition between continental rationalist Cartesian science vs British empiricist Newtonian science. In the last four decades, many aspects of this traditional narrative have been criticized, and the meaning of early modern empiricism is subject of renewed studies. (shrink)

The aim of this paper is to offer a comparative survey of Bacon's theory and practice of natural history and of civil history, particularly centered on their relationship to natural philosophy and human philosophy. I will try to show that the obvious differences concerning their subject matter encompass a number of less obvious methodological and philosophical assumptions which reveal a significant practical and con ceptual convergence of the two fields. Causes or axioms are prescribed as the theoretical end-products of natural (...) history, whereas precepts are envisaged as the speculative outcomes derived from perfect civil history. In spite of this difference, causes and precepts are thought to enable effective action in order to change the state of nature and of man, respectively. For that reason a number of common patterns are to be found in Bacon's theory and practice of natural and civil history. (shrink)

The first part of this paper will provide a reconstruction of Francis Bacon’s interpretation of Academic scepticism, Pyrrhonism, and Dogmatism, and its sources throughout his large corpus. It shall also analyze Bacon’s approach against the background of his intellectual milieu, looking particularly at Renaissance readings of scepticism as developed by Guillaume Salluste du Bartas, Pierre de la Primaudaye, Fulke Greville, and John Davies. It shall show that although Bacon made more references to Academic than to Pyrrhonian Scepticism, like most of (...) his contemporaries, he often misrepresented and mixed the doctrinal components of both currents. The second part of the paper shall offer a complete chronological survey of Bacon’s assessment of scepticism throughout his writings. Following the lead of previous studies by other scholars, I shall support the view that, while he approved of the state of doubt and the suspension of judgment as a provisional necessary stage in the pursuit of knowledge, he rejected the notion of acatalepsia. To this received reading, I shall add the suggestion that Bacon’s criticism of acatalepsia ultimately depends on his view of the historical conditions that surround human nature. I deal with this last point in the third part of the paper, where I shall argue that Bacon’s evaluation of scepticism relied on his adoption of a Protestant and Augustinian view of human nature that informed his overall interpretation of the history of humanity and nature, including the sceptical schools. (shrink)

In this chapter we will argue, firstly, that Bacon’s engages in a pecu-liar form of mathematization of nature that develops a quali-quantitative methodology of measurement. Secondly, we will show that medicine is one of the disciplines where that dual way of measurement is practiced. In the first section of the chapter, we will expose the ontology involved in the Baconian proposal of measurement of nature. The second section will address the place that mixed mathematics occupies in Bacon’s scheme of scientific (...) branches and will suggest that a proper advancement of medicine can generate a new branch of mixed mathematics. The next section will reconstruct Bacon’s approach to measurement and expose its quali-quantitative import. In the last section, we will show some examples of medicine in which this quali-quantitative measurement is applied. (shrink)

The Sleeping Beauty problem has attracted considerable attention in the literature as a paradigmatic example of how self-locating uncertainty creates problems for the Bayesian principles of Conditionalization and Reflection. Furthermore, it is also thought to raise serious issues for diachronic Dutch Book arguments. I show that, contrary to what is commonly accepted, it is possible to represent the Sleeping Beauty problem within a standard Bayesian framework. Once the problem is correctly represented, the ‘thirder’ solution satisfies standard rationality principles, vindicating why (...) it is not vulnerable to diachronic Dutch Book arguments. Moreover, the diachronic Dutch Books against the ‘halfer’ solutions fail to undermine the standard arguments for Conditionalization. The main upshot that emerges from my discussion is that the disagreement between different solutions does not challenge the applicability of Bayesian reasoning to centered settings, nor the commitment to Conditionalization, but is instead an instance of the familiar problem of choosing the priors. (shrink)

Maimonides famously holds that, while it is perfectly possible to know (and say) that God exists, it is impossible to know (and say) what God is like because any positive attri- bution contradicts God’s essential oneness. Consequently, pure equivocity obtains between descriptions of the divine and descriptions of any other being. But this raises a puzzle: Knowledge of God seems vacuous if we lack all comprehension of God’s nature - so how can we have any comprehension of the divine without (...) being able to say what it is that we know? In this essay, I defend the substantiality of the concept of knowledge of God on Maimonides’ apophatic picture. Drawing on the concept of non-propositional knowledge, I argue that knowledge and comprehension can come apart, which lends support to Maimonides’ thesis that knowledge of God, though substantial and objective, cannot be expressed. (shrink)

In this commentary I reflect on the significance of our relationships with a natural place from the perspective of animal and environmental ethics. Connecting Candiotto’s article with other environmental thinkers, I explore the importance of particularity and of problematizing anthropocentrism, and end by raising three questions about the broader application of one’s love for a particular place.

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)

La idea de que la tarea de la ciencia consiste en dar cuenta de las leyes de la naturaleza comenzó a establecerse durante el siglo XVII mientras se estaba delineando la nueva imagen de la ciencia y de la naturaleza. Si bien distintos estudios historiográficos coinciden en situar el origen del concepto moderno de ley de la naturaleza en este siglo, sus interpretaciones son divergentes en varios sentidos. En este trabajo, me dedicaré en primer lugar a repasar brevemente y analizar (...) en forma crítica los resultados de estos estudios historiográficos, agrupándolos en cuatro grandes líneas de lectura. En segundo lugar y a modo de conclusión a partir de lo arrojado por esos estudios, enumeraré los factores fundamentales que considero ineludibles para realizar un abordaje historiográfico satisfactorio y completo de este problema. (shrink)

This article discusses Margaret Cavendish's position on reality and fiction in dreams and her role within the moderate skepticism of her philosophy. While Cavendish argues that there is no distinction between dream-like and waking depictions, she does not consider the difference between fact and fiction to be sharp or relevant. We will argue that, although Cavendish promotes a philosophical discourse that articulates reason –that seeks to know reality— and fancy —which constructs fictions—, considers that only "elevated" poetic fantasies are competent (...) for the construction of this discourse. (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)

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)

En estas páginas se publican mis respuestas a una encuesta incluida en el libro Galfione, María Carla y Moine, Facundo José, eds., La inquietud por la filosofía. Ensayos sobre canon, historia y crítica, Córdoba, Universidad Nacional de Córdoba. Facultad de Filosofía y Humanidades, 2023, pp. 178-182. Las preguntas de la encuesta son las siguientes: 1. ¿Cree que tiene sentido hacer hoy historia de la filosofía, como objeto de investigación y/o enseñanza? ¿Por qué y cómo?; 2. ¿Pueden ayudar las reflexiones de (...) Foucault para esa historia, como "caja de Herramientas"? ¿Por qué? ¿Cómo?; 3. ¿Qué hacer con el canon filosófico? ¿Hay que conservarlo, transmitirlo, inculcarlo?; 4. ¿Cómo entiende la crítica en tanto actividad reflexiva que atraviesa el discurso filosófico? ¿Encuentra alguna potencialidad o productividad en pensar la crítica de cara al canon filosófico?; 5. ¿Cree conveniente, a la hora de pensar el pasado y el presente del saber filosófico, inscribirlo en un presente, en determinadas instituciones, en un marco que lo excede histórica y discursivamente? ¿Qué entiende que resulta del saber filosóficoposicionado en esos marcos?; 6. ¿Cuál cree que es el grado de persistencia del pasado o del canon al pensar la filosofía en su exigente vínculo con el presente? O, de otro modo, ¿tiene la historia de la filosofía y su práctica algún lugar en la constitución del presente? (shrink)

In this paper we explore the absentminded driver problem using two different scenarios. In the first scenario we assume that the driver is capable of reasoning about his degree of absentmindedness before he hits the highway. This leads to a Savage-style model where the states are mutually exclusive and the act-state independence is in place. In the second we employ centred possibilities, by modelling the states (i.e. the events about which the driver is uncertain) as the possible final destinations indexed (...) by a time period. The optimal probability we find for continuing at an exit is different from almost all papers in the literature. In this scenario, act-state independence is still violated, but states are mutually exclusive and the driver arrives at his optimal choice probability via Bayesian updating. We show that our solution is the only one guaranteeing immunity from sure loss via a Dutch strategy, and that – despite initial appearances – it is time consistent. This raises important implications for the rationality of commitment in such scenarios. (shrink)

This chapter will explore the reception of Condillac in Argentina from the nineteenth century to the early twentieth century, focusing on two cases. First, the reception by nineteenth-century professors of idéologie (Juan Crisóstomo Lafinur, Juan Manuel Fernández de Agüero, Luis José de la Peña, and Diego Alcorta) that was mediated by the interpretations of Antoine Destutt de Tracy, Pierre Jean Cabanis, and Pierre Laromiguière. Second, the reception in the early twentieth century by José Ingenieros, whose narrative was conditioned by his (...) own political and philosophical agenda. In each case, we can identify different receptions that must be interpreted not only in light of the philosophical concerns of the authors who made them but also in light of the wider cultural and political context in which they emerged. In the first half of the nineteenth century, Condillac was received as a philosopher who integrated the new philosophical canon that would replace the Scholastic canon that had been imposed by the colonial regime. In the early twentieth century, Ingenieros inserted Condillac into a narrative that, starting with Bacon and Locke, culminated in positivism, a current that, in his view, offered the best framework to make Argentina shine in the concert of civilized nations. (shrink)

La concepción según la cual la naturaleza es un todo ordenado donde prevalece la regularidad en las propiedades y procesos que caracterizan a las distintas especies recorre el pensamiento occidental desde la filosofía antigua griega hasta nuestros días. Diferentes teorías científicas sobre innumerables aspectos y objetos de la naturaleza elaboradas a lo largo de los siglos, e incluso teorías contrapuestas entre sí, asumieron el orden y la regularidad del mundo como un supuesto innombrado, como un a priori histórico sobre el (...) cual se sustentaron. Existen varias vías posibles de examinar históricamente la construcción y la evolución de una concepción tan vasta y duradera. La que aquí propongo consiste en estudiar la concepción del orden a partir de analizar la excepción y la anomalía que lo alteran o subvierten. En este caso me dedicaré a estudiar las perspectivas aristotélicas, tardo-escolásticas y baconianas sobre los monstruos, también conocidos como “fenómenos preternaturales”. (shrink)

The aim of this paper is to examine how much Hume knew about astronomy, in order to understand the reasons for his acceptance of Copernicanism. My contention is that Hume’s positive reception of the Copernican system arises at least from the importance that he gives to three features that he attributes to the Copernican system: beauty, simplicity and uniformity. I also give some evidence that Hume had first-hand knowledge of some sections of Galileo’s Dialogo sopra i due massimi sistemi del (...) mondo tolemaico e copernicano (1632), where the “sole proofs” of the Copernican system are said to be found. (shrink)

La concepción cusana de la possibilitas / materia (posibilidad / materia) está directamente ligada con la doctrina de los modos de ser (modi essendi) sobre los que el Cusano se explaya, con diversos grados de profundidad, en varias de sus obras, entre las que se cuenta De docta ignorantia (1440), De conjecturis (1440), De Mente (1450), De venatione sapientiae (1462) y De ludo globi (1463). A lo largo de esas obras Nicolás de Cusa aborda dos aspectos centrales de la posibilidad (...) / materia, estrechamente relacionados entre sí: el aspecto ontológico y el aspecto gnoseológico. En la primera sección de este artículo expondremos la caracterización ontológica de la posibilidad / materia en el marco de los distintos modos de ser. En la segunda sección nos dedicaremos a desarrollar las perspectivas de Cusa acerca del conocimiento del modo de ser de la posibilidad o materia . (shrink)

This chapter focuses on the appetite for self-preservation and its central role in Francis Bacon’s natural philosophy. In the first part, I introduce Bacon’s classification of universal appetites, showing the correspondences between natural and moral philosophy. I then examine the role that appetites play in his theory of motions and, additionally, the various meanings accorded to preservation in this context. I also discuss some of the sources underlying Bacon’s ideas, for his views about preservation reveal traces of Stoicism, Telesian natural (...) philosophy, the natural law tradition, as well as late-scholastic ideas. Bacon assumes the existence of two kinds of preservation: self-preservation and preservation of the whole. The appetite through which the whole preserves itself overpowers individual appetites for self-preservation. In Bacon’s theory of motions, the primacy of global preservation – that is, the preservation of the whole – is evidenced by the way matter resists being annihilated, while self-preservation at a local and particular level is revealed through other kinds of motion. Bacon’s notion of appetite reflects a specific metaphysics of matter and motion, in which the preservation of natural bodies follows teleological patterns shared by both nature and humanity: the preservation of the whole is the highest goal, both in moral and natural philosophy. In this chapter, I argue that in Bacon’s natural philosophy different kind of things, including nature and humans, are ruled by patterns that are constitutive of correlated orders, neither of which is reducible to the other: there is no priority of the natural order over the moral, or vice versa. Thus, at a more general level, both are expressions of the same type of divinely imposed, law-like behaviour. (shrink)

¿Qué entendemos hoy por canon en el ámbito de la filosofía? El sentido más habitual de esta palabra remite a una lista o catálogo de autores y de textos que se consideran fundamentales con respecto a un determinado recorte de la filosofía y a veces a la filosofía en su totalidad. Este sentido de canon, por extensión, suele tener una connotación de norma, precepto o regla, en la medida en que la lista de obras o autores es juzgada como necesaria (...) para alcanzar un conocimiento o dominio de la filosofía. Está ligado con la formación de los filósofos en el marco de una institución de enseñanza. El propósito de este trabajo es deconstruir este sentido de canon, considerando sus elementos como piezas de un modelo que puede armarse, desarmarse y rearmarse. Antes de esta deconstrucción, será necesario hablar del lugar donde se construye y delinear cuáles son sus rasgos definitorios, incluyendo sus modos de construcción y reproducción. A ello estará dedicada la primera sección de este texto. Las tres secciones que siguen se concentrarán en cada de las piezas básicas que constituyen los cánones filosóficos: los autores, las obras y los temas. (shrink)

The current and the next issues of “Spazio Filosofico”, both devoted to Festival (Festival I and II respectively), are dedicated to Ugo Perone on the occasion of his 70th birthday. Perone’s friends and colleagues have chosen to celebrate his birthday in a philosophical way, namely, with a reflection on the concept of festival/holiday [festa] and its meaning for us today. Thrifty spirits might object that a journal issue is like a gift – one is enough. Are these not times of (...) economic crisis? There is no real festival, however, without a Zugabe: without an addition, an encore, or a supplement. Hence, two issues, both devoted to a single concept. The choice of the theme has not been accidental – the concept of “festival/holiday” plays in fact an important role in Perone’s thought. In an essay that is often quoted in various contributions to the two issues, Perone understands the pair of concepts “ultimate/penultimate,” which has been discussed by Dietrich Bonhoeffer, in terms of “holidays/everydayness.” For Bonhoeffer, God is present not where human abilities fail but rather “at the center of the village.” Likewise, for Perone, the square, which is the “symbol for the holiday time,” is the center of town. It is even, “at the same time, the center of town and its interruption.” . (shrink)

Hace un tiempo G. Rees señaló la importancia del razonamiento cuantitativo en el programa de la renovación del saber propuesto por F. Bacon, renovando la imagen tradicional de su método. Con la intención de proseguir el replanteo iniciado por Rees de los conceptos centrales del método baconiano, me propongo reexaminar el significado de la experimentación y de los instrumentos científicos, lo cual implica al mismo tiempo considerar la relación entre razón y sentidos. Para ello, examinaré el significado de los sentidos (...) como fuentes del conocimiento, la función de la experimentación y de los instrumentos para superar las limitaciones de los sentidos, la inserción de datos cuantitativos en el marco experimental, el concepto de sutilidad de la naturaleza y el sentido metodológico de la anatomía baconiana. Como conclusión señalo que en el método baconiano los sentidos están subordinados a la razón, ya que tanto los experimentos como los instrumentos científicos están sujetos a la autoridad de la razón para alcanzar la verdad y evitar sus errores. (shrink)

L'esistenza del commento di Alessandro di Afrodisia al De generatione aristotelico, perduto nella versione greca e nella traduzione araba, è attestata da numerose fonti arabe, tra le quali Averroè, nel suo commento alla stessa opera. L'A. rintraccia la presenza, la tipologia e la distribuzione delle citazioni tratte dal commento di Alessandro nel Kitab al-Tasrif, un'opera del corpus alchemico attribuita a Gabir ibn Hayyan. Secondo l'A., la sezione interessata dalle citazioni assembla tre diversi tipi di testi: 1) lemmi del De generatione (...) in traduzione araba; 2) frammenti lacunosi della traduzione araba del commento di Alessandro; 3) interventi di collegamento. Una più ampia discussione si trova in un saggio visibile sulla pagina "publicationslist" dell'autore: "Alessandro di Afrodisia sulle 'contrarietà tangibili' (De gen. et corr. II.2): fonti greche e arabe a confronto" in: Aristotele e Alessandro di Afrodisia nella tradizione araba, a c. di C. D'Ancona e G. Serra, “Il Poligrafo”, Padova 2002, pp. 151-189. Notasi che il testo ricostruito di Alessandro in GC 2.2-5 è stato pubblicato da E. Gannagé nella serie ACA, che però non menziona il contributo di SF, dalla cui iniziativa, dalle cui analisi e dalla cui ricostruzione integrale, svolta sul manoscritto arabo Paris. 5099, la ricerca prese l'avvio. (shrink)

I. Introduzione. I.1. Un’editio minor come sfida aperta. I.2 Per una più selettiva eliminatio. II.1 Sulla storia del problema : l’eredità del XIX secolo (Brandis 1823, Christ 1885, Gercke 1892) nelle edizioni del XX (Ross 1924, Jaeger 1957). II.2. Studi recenti : la necessità di un superamento. II.3. Lo stemma di riferimento : Harlfinger (1979). II.4. L’applicazione dello stemma nel libro Alpha edito da Primavesi. II.5. La revisione dello stemma, proposta per Kappa e Lambda (2009, 2010). II.6. La reazione : (...) discussioni sul ruolo della tradizione β in Kappa e Lambda (2015). III. Una verifica dello stemma in agenda : la divisione delle due famiglie. III.1 Fra i codici β : L’Ambrosianus F 113 Sup. come codex descriptus ? (libri I-IX inc.). III.2. L’ipotesi dell’ interpositus ε e le sue implicazioni sistematiche. III.3 Allievo e maestro nel XV secolo : Matthaios Chamariotes (C) e Giorgio Scholarios, Gennadeios II (Vk). III.4. Il non liquet sulle parti inferiori dello stemma e il concetto di contaminazione. IV.1. Rivedendo lo stemma dall’interno : il problema critico degli errori-guida (Leitfehler). IV.2. Iudicium e valutazione degli errori. IV.3. Errori separativi ed errori congiuntivi secondo la Textkritik di Paul Maas. IV.4. Una verifica importante : il ruolo di γ. V. Un’ipotesi alternativa . V.1. Il testo della Metafisica nei codici poziori. V.2. Un ritorno alla sigla ". V.3. Un nuovo stemma dei codici principali della Metafisica. Appendice : una verifica sull’ipotesi γ. (shrink)

The particular subject of this article is the very first sentence of Aristotle’s Metaphysics book Lambda: what does it really mean? I would stick to the most generous sense: (Aristotelian) theoria is about substance. Indeed, it has been often held that Lambda ignores the so-called focal meaning, and shows a remarkably rough stage of Aristotle’s conception of prime philosophy. By contrast, in this light, the very incipit of Lambda appears to testify Aristotle’s concern in an ontological foundation of theoretical wisdom (...) as such, which Lambda shares with the Metaphysics “central books”, Zeta in particular, in a not less coherent and possibly more advanced form. (shrink)

One of the main philosophical works by Alexander of Aphrodisias, De principiis, is lost in its original Greek text, but it is preserved in three extant Medieval Semitic versions, one in Syriac and two in Arabic, which were written in the Near East between 500 and 950 AD. These versions are not totally identical and, as we have shown in 2012, they are in a rather complex textual relationship. As we will show in this article, a tentative reconstruction of the (...) lost text should be based upon an attentive and point‑to‑point comparative analysis of some aspect of all three versions. We have tentatively called the abore way “critical translation”. (shrink)