It is often assumed that concepts from the formal sciences, such as mathematics and logic, have to be treated differently from concepts from non-formal sciences. This is especially relevant in cases of concept defectiveness, as in the empirical sciences defectiveness is an essential component of lager disruptive or transformative processes such as concept change or concept fragmentation. However, it is still unclear what role defectiveness plays for concepts in the formal sciences. On the one hand, a common view sees formal (...) concepts to be protected against defects because of their precise and stable nature. On the other, studies going back as far as Lakatos (1963) showcase the changeability of such concepts. -/- In this paper, I will investigate if and how defectiveness based on the occurrence of inconsistencies can appear with formal concepts. To make the case as strong as possible, I employ a strict notion of formal concept that assumes the concept to have a fixed and definite extension. I will show that there are indeed certain types of defectiveness that cannot occur with such concepts; but that there are other types of defectiveness that do occur. This means that while formal concepts have to be treated differently than non-formal concepts, questions about defectiveness---as raised in the conceptual engineering debate and philosophy of science---can still be applied to them. I will highlight this point by showing how formal sciences have special strategies available to them that allow them to resolve defectiveness of their concepts in a flexible and informative manner. (shrink)

How can dispute records shed light on the study of dispute settlement processes and their social and political underpinnings? This volume addresses this question by investigating the interplay between record-making, disputing process, and the social and political contexts of conflicts. The authors make use of exceptionally rich charter materials from the Iberian Peninsula, Italy, and Scandinavia, including different types of texts directly and indirectly related to conflicts, in order to contribute to a comparative survey of early medieval dispute records and (...) to a better understanding of the interplay between judicial and other less formal modes of conflict resolution. Contributors are Isabel Alfonso, José M. Andrade, François Bougard, Warren C. Brown, Wendy Davies, Julio Escalona, Kim Esmark, Adam J. Kosto, Juan José Larrea, André Evangelista Marques, Josep M. Salrach, Igor Santos Salazar, and Francesca Tinti. (shrink)

This article addresses the question of fundamental entities in set theory. It takes up J. Hamkins’ claim that models of set theory are such fundamental entities and investigates it using the methodology of P. Maddy’s naturalism, Second Philosophy. In accordance with this methodology, I investigate the historical case study of the use of models in the introduction of forcing, compare this case to contemporary practice and give a systematic account of how set-theoretic practice can be said to introduce models as (...) new entities. In conclusion, I argue for a view that takes both sets and models to be fundamental entities in set theory. (shrink)

Moral injury emerged in the healthcare discussion quite recently because of the difficulties and challenges healthcare workers and healthcare systems face in the context of the COVID-19 pandemic. Moral injury involves a deep emotional wound and is unique to those who bear witness to intense human suffering and cruelty. This article aims to synthesise the very limited evidence from empirical studies on moral injury and to discuss a better understanding of the concept of moral injury, its importance in the healthcare (...) context and its relation to the well-known concept of moral distress. A scoping literature review design was used to support the discussion. Systematic literature searches conducted in April 2020 in two electronic databases, PubMed/Medline and PsychInfo, produced 2044 hits but only a handful of empirical papers, from which seven well-focused articles were identified. The concept of moral injury was considered under other concepts as well such as stress of conscience, regrets for ethical situation, moral distress and ethical suffering, guilt without fault, and existential suffering with inflicting pain. Nurses had witnessed these difficult ethical situations when faced with unnecessary patient suffering and a feeling of not doing enough. Some cases of moral distress may turn into moral residue and end in moral injury with time, and in certain circumstances and contexts. The association between these concepts needs further investigation and confirmation through empirical studies; in particular, where to draw the line as to when moral distress turns into moral injury, leading to severe consequences. Given the very limited research on moral injury, discussion of moral injury in the context of the duty to care, for example, in this pandemic settings and similar situations warrants some consideration. (shrink)

Many authors have already observed that the Tractatus Theologico-Politicus of Baruch Spinoza was, in its time, the most discussed and most vehemently refuted book. Indeed, at the dawn of the Enlightenment, and almost until the end of the nineteenth century, Spinoza's Theological-Political Treatise was an assertive and powerful appeal to freedom of expression and thought, a bold claim of religious tolerance and freedom of conscience in a Europe that was unaccustomed to the exercise of free thought. But, what is after (...) all the subject of the Theological-Political Treatise, a book maligned for so long and by so many as ultra pestilential and immoral? The present volume, collecting essays by notable European scholars, attempts to address some of the problems created by the broad spectrum of topics included in Spinoza's Theological-Political Treatise. (shrink)

A presente coletânea é resultado de cooperação de pesquisadores brasileiros e portugueses, envolvidos com a docência no ensino superior e a consequente formação continuada dos professores universitários. A frequência no ensino superior é vista como uma conquista social dos ideais democráticos modernos e teria trazido novos públicos aos bancos escolares, o que tornaria esse ensino uma realidade de maneira qualitativa distinta com a qual decisores políticos, gestores, professores e estudantes devem aprender a lidar. Essas preocupações pretenderam motivar e nortear os (...) temas abordados nesta obra. (shrink)

A central area of current philosophical debate in the foundations of mathematics concerns whether or not there is a single, maximal, universe of set theory. Universists maintain that there is such a universe, while Multiversists argue that there are many universes, no one of which is ontologically privileged. Often model-theoretic constructions that add sets to models are cited as evidence in favour of the latter. This paper informs this debate by developing a way for a Universist to interpret talk that (...) seems to necessitate the addition of sets to V. We argue that, despite the prima facie incoherence of such talk for the Universist, she nonetheless has reason to try and provide interpretation of this discourse. We present a method of interpreting extension-talk (V-logic), and show how it captures satisfaction in `ideal' outer models and relates to impredicative class theories. We provide some reasons to regard the technique as philosophically virtuous, and argue that it opens new doors to philosophical and mathematical discussions for the Universist. (shrink)

We review different conceptions of the set-theoretic multiverse and evaluate their features and strengths. In Sect. 1, we set the stage by briefly discussing the opposition between the ‘universe view’ and the ‘multiverse view’. Furthermore, we propose to classify multiverse conceptions in terms of their adherence to some form of mathematical realism. In Sect. 2, we use this classification to review four major conceptions. Finally, in Sect. 3, we focus on the distinction between actualism and potentialism with regard to the (...) universe of sets, then we discuss the Zermelian view, featuring a ‘vertical’ multiverse, and give special attention to this multiverse conception in light of the hyperuniverse programme introduced in Arrigoni and Friedman (2013). We argue that the distinctive feature of the multiverse conception chosen for the hyperuniverse programme is its utility for finding new candidates for axioms of set theory. (shrink)