This work explores the later Wittgenstein’s philosophy of mathematics in relation to Lakatos’ philosophy of mathematics and the philosophy of mathematical practice. I argue that, while the philosophy of mathematical practice typically identifies Lakatos as its earliest of predecessors, the later Wittgenstein already developed key ideas for this community a few decades before. However, for a variety of reasons, most of this work on philosophy of mathematics has gone relatively unnoticed. Some of these ideas and their significance as precursors for (...) the philosophy of mathematical practice will be presented here, including a brief reconstruction of Lakatos’ considerations on Euler’s conjecture for polyhedra from the lens of late Wittgensteinian philosophy. Overall, this article aims to challenge the received view of the history of the philosophy of mathematical practice and inspire further work in this community drawing from Wittgenstein’s late philosophy. (shrink)

In this work we argue that there is no strong demarcation between pure and applied mathematics. We show this first by stressing non-deductive components within pure mathematics, like axiomatization and theory-building in general. We also stress the “purer” components of applied mathematics, like the theory of the models that are concerned with practical purposes. We further show that some mathematical theories can be viewed through either a pure or applied lens. These different lenses are tied to different communities, which endorse (...) different evaluative standards for theories. We evaluate the distinction between pure and applied mathematics from a late Wittgensteinian perspective. We note that the classical exegesis of the later Wittgenstein’s philosophy of mathematics, due to Maddy, leads to a clear-cut but misguided demarcation. We then turn our attention to a more niche interpretation of Wittgenstein by Dawson, which captures aspects of the aforementioned distinction more accurately. Building on this newer, maverick interpretation of the later Wittgenstein’s philosophy of mathematics, and endorsing an extended notion of meaning as use which includes social, mundane uses, we elaborate a fuzzy, but more realistic, demarcation. This demarcation, relying on family resemblance, is based on how direct and intended technical applications are, the kind of evaluative standards featured, and the range of rhetorical purposes at stake. (shrink)

The conditions involved in the applicability of mathematics in science are the subject of ongoing debates. One of the best‐received approaches is the inferential account, which involves structural mappings and pragmatic considerations in a three‐step model. According to the inferential account, these pragmatic considerations happen in the immersion and interpretation stages, but not during derivation (symbol‐pushing in a mathematical formalism). In this work, I draw inspiration from the later Wittgenstein and make the case that the applicability of mathematics also rests (...) on pragmatic considerations at the mathematical derivation level. I make the further case that pragmatic considerations at the mathematical derivation level may substitute pragmatic considerations in the other two stages, thus showing how they are holistically interrelated. I illustrate these two points with the solution of a simple geometrical problem. (shrink)

This work gives a new argument for ‘Empirical Philosophy of Mathematical Practice’. It analyses different modalities on how empirical information can influence philosophical endeavours. We evoke the classical dichotomy between “armchair” philosophy and empirical/experimental philosophy, and claim that the latter should in turn be subdivided in three distinct styles: Apostate speculator, Informed analyst, and Freeway explorer. This is a shift of focus from the source of the information towards its use by philosophers. We present several examples from philosophy of mind/science (...) and ethics on one side and a case study from philosophy of mathematics on the other. We argue that empirically informed philosophy of mathematics is different from the rest in a way that encourages a Freeway explorer approach, because intuitions about mathematical objects are often unavailable for non-mathematicians. This consideration is supported by a case study in set theory. (shrink)

RATIONALE AND AIMS: Total hip and knee replacements, usually, have long waiting lists. There are several prioritization tools for these kind of patients. A new tool should undergo a standardized validation process. The aim of the present study was to validate a new prioritization tool for primary hip and knee replacements. METHODS: We carried out a prospective study. Consecutive patients placed on the waiting list were eligible for the study. Patients included were mailed a questionnaire which included, among other questions, (...) the seven items of the priority tool and the Western Ontario and McMasters Universities Arthritis Index (WOMAC) specific questionnaire. The priority tool gives a score from 0 to 100 points, and three categories (urgent, preferent and ordinary). We studied the content and construct validity. We used Student's t-test or one-way analysis of variance. Correlational analysis was used to evaluate convergent and discriminate validity. RESULTS: The sample consisted of 838 patients (62.3% were female), with mean age of 70.2 years (SD 8.4). A total of 55.5% patients underwent knee replacement. Given that the tool was elaborated by patients and orthopaedic surgeons, it shows a good content validity. The priority score was statistically different (P < 0.001) among the three urgency categories created. The scores of the three WOMAC dimensions showed differences (P < 0.001) by the three urgency categories created. The correlations between the priority score and WOMAC dimensions were 0.79 (function), 0.69 (pain) and 0.51 (stiffness). The correlations between WOMAC items and items from priority tool were greater (0.47-0.69) between items measuring similar constructs than those measuring different constructs (0.27-0.49). These data are similar in both joints. CONCLUSIONS: Results support the validity of the prioritization tool to be used with patients waiting for hip or knee replacement. (shrink)

The COVID-19 pandemic has subjected most of the world’s population to unprecedented situations, like national lockdowns, health hazards, social isolation and economic harm. Such a scenario calls for urgent measures not only to palliate it but also, to better cope with it. According to existential positive psychology, well-being does not simply represent a lack of stress and negative emotions but highlights their importance by incorporating an adaptive relationship with them. Thus, suffering can be mitigated by, among other factors, adopting an (...) attitude of positive reframing, maintaining hope, existential courage, life appreciation, engagement in meaningful activities, and prosociality. The conglomerate of these elements has been recently denominated as meaning-centered coping. In this study, we evaluated the protective role of this type of coping on mental health. A sample of 12,243 participants from 30 countries across all continents completed measures of Meaning-Centered Coping Scale, depression, stress, anxiety and stressful COVID-19 related conditions they experienced. Results indicated that meaning-centered coping was strongly associated with diminished symptoms of stress, anxiety, and depression. Moreover, it moderated various relationships between vulnerability factors and markers of psychological distress, especially in the case of depression. These findings call for attention to meaning-centered coping approaches in the context of hardship, such as the current COVID-19 health crisis. In these difficult times, decision-makers and health organizations may integrate these approaches into their guidelines. (shrink)

This article examines the role of social media and journalistic media in presidential electoral processes. A systematic review of scientific articles published from 2012 to 2022 was conducted. The results indicate that the media has a significant influence on public perception and the political agenda during election campaigns. Furthermore, the importance of evaluating political leaders in the voters' decision-making process is emphasized. In summary, the article provides valuable insights into how the media can shape the narrative and public opinion during (...) presidential elections. (shrink)

This study aimed to explore the role of two models of well-being in the prediction of psychological distress during the COVID-19 pandemic, namely PERMA and mature happiness. According to PERMA, well-being is mainly composed of five elements: positive emotions, engagement, relationships, meaning in life, and achievement. Instead, mature happiness is understood as a positive mental state characterized by inner harmony, calmness, acceptance, contentment, and satisfaction with life. Rooted in existential positive psychology, this harmony-based happiness represents the result of living in (...) balance between positive and negative aspects of one's life. We hypothesized that mature happiness would be a more prominent protective factor during the present pandemic than the PERMA composite. A total of 12,203 participants from 30 countries responded to an online survey including the Depression Anxiety Stress Scale (DASS-21), the PERMA-Profiler, and the Mature Happiness Scale-Revised (MHS-R). Confirmatory factor analyses indicated that PERMA and mature happiness were highly correlated, but nonetheless, they represented two separate factors. After controlling for demographic factors and country-level variables, both PERMA Well-being and MHS-R were negative predictors of psychological distress. Mature happiness was a better predictor of stress, anxiety, and general distress, while PERMA showed a higher prediction of depression. Mature happiness moderated the relation between the perceived noxious effects of the pandemic and all markers of distress (depression, anxiety, stress, and total DASS-21). Instead, PERMA acted as a moderator in the case of depression and stress. These findings indicate that inner harmony, according to the mature happiness theory, is an essential facet of well-being to be taken into consideration. The results of this study can also orient policies aimed to alleviate the negative effects of the pandemic on mental health through the promotion of well-being. (shrink)

Rationale, aims and objectives Given the increasing prevalence of cataract and demand for cataract extraction surgery, patients must often wait to undergo this procedure. We validated a previously developed priority scoring system in terms of clinical variables, pre-intervention health status, appropriateness of surgery and gain in visual acuity (VA) and health-related quality of life (HRQoL).Methods Explicit prioritization criteria for cataract extraction created by a variation of the Research and Development (RAND) and University of California Los Angeles appropriateness methodology were retrospectively (...) applied to a prospective cohort of 5257 patients on waiting lists to undergo cataract by phacoemulsification at 17 hospitals in Spain. Demographic data, clinical data and data related to surgical technique were collected by trained ophthalmologists. Patients were evaluated by their ophthalmologist before the intervention and 6 weeks afterward. They also completed, by mail, the Visual Function Index (VF-14) before the intervention and 3 months afterward.Results High-priority patients experienced greater improvement in VA and HRQoL than those classified as intermediate or low-priority (P < 0.0001), even after adjusting by VA and the VF-14 score at baseline. The time to intervention was the same for high-priority patients as it was for intermediate and low-priority patients.Conclusions The priority score we developed identified patients most likely to experience the greatest improvements from cataract extraction. Use of this tool could provide a fairer and more rational way to prioritize patients for cataract extraction. (shrink)

On raconte qu'après la désignation comme Premier consul, Napoléon montra à des invités La Science de la législation de Gaetano Filangieri, le "jeune homme qui est notre maître à tous". Presque au même moment, ces volumes se trouvaient aussi sur le bureau de Benjamin Constant. La fortune et la circulation de cette oeuvre au sein de l'Europe des Lumières et du XIXe siècle sont l'objet de cet ouvrage, qui décrit les débats qu'elle a alimentés afin de comprendre pourquoi les hommes (...) de lettres et les politiques continuèrent à s'intéresser à ce classique de la pensée républicaine du XVIIIe siècle pour se fondre dans la nouvelle Europe du XIXe siècle."--Page 4 of cover. (shrink)

With its origin-centric value proposition, the specialty coffee industry seeks to educate consumers about the value of the origin of coffee and how the relationship with farmers ensures quality and makes coffee a premium product. While the industry has widely used stories and visual cues to communicate this added value, research studying whether and how these efforts influence consumers' experiences is scarce. Through three experiments, we explored the effect of images that evoke the terroir of coffee on the perception of (...) premiumness. Our results revealed that online images that resembled the broad origin of coffee could influence premiumness expectations of coffee. Similarly, a virtual reality environment that depicted this broad origin could enhance the perception of coffee premiumness for non-expert consumers and the enjoyment of the experience for coffee professionals. Importantly, we found that congruence between the coffee and the virtual reality atmospheres mediated how much non-experts enjoyed the experience. VR atmospheres also influenced expectations of sweetness and acidity for non-experts. These findings serve as a steppingstone for further exploration of the effects of congruence between visual cues and product/brand attributes on premiumness expectations and perception, and more generally on consumer experience. From a practical standpoint, this study provides insights into key aspects for the development of immersive virtual product experiences. (shrink)

In _Time’s Causal Power_, Antonio Vargas explains how Proclus (412-485 C.E.) developed the unique theory that time is a cause and a god, the world’s first unmoved mover by addressing Aristotle’s criticisms of Plato’s claim that time is a change.

En este trabajo se analizan los documentales del período silente de la Revolución mexicana, específicamente aquellos que fueron realizados durante el fragor de la contienda armada entre 1910 y 1917. El objetivo es reflexionar acerca del modo en que las imágenes fílmicas contribuyeron a forjar el mito de la Revolución como mexicanidad y, a partir de esa mitificación, problematizar la temporalidad de las imágenes y su devenir social y político. Se sostiene que los documentales del período revolucionario favorecieron de manera (...) significativa (junto con otras prácticas culturales: pintura, literatura, teatro) la estructuración de un imaginario social que concibió la lucha armada como seña de identidad. El análisis de los documentales rodados durante el proceso revolucionario mostrará cómo esas imágenes fílmicas hicieron legible una historicidad de la Revolución y, al mismo tiempo, inscribieron una nueva matriz cultural que instituyó, por ejemplo, al campesinado rebelde como discurso sobre el cual construir esa nueva mexicanidad. De este modo, la Revolución como mexicanidad se instauró como un nuevo paradigma sociopolítico sobre el cual se cimentó el nacionalismo populista que se irá conformando como ethos cultural dentro de la sociedad mexicana a lo largo del siglo XX. (shrink)

The dynamics of general relativity is encoded in a set of ten differential equations, the so-called Einstein field equations. It is usually believed that Einstein's equations represent a physical law describing the coupling of spacetime with material fields. However, just six of these equations actually describe the coupling mechanism: the remaining four represent a set of differential relations known as Bianchi identities. The paper discusses the physical role that the Bianchi identities play in general relativity, and investigates whether these identities (...) --qua part of a physical law-- highlight some kind of a posteriori necessity in a Kripkean sense. The inquiry shows that general relativistic physics has an interesting bearing on the debate about the metaphysics of the laws of nature. (shrink)