The objective of this article is to take into account the functioning of representational cognitive tools, and in particular of notations and visualizations in mathematics. In order to explain their functioning, formulas in algebra and logic and diagrams in topology will be presented as case studies and the notion of manipulative imagination as proposed in previous work will be discussed. To better characterize the analysis, the notions of material anchor and representational affordance will be introduced.

Public deliberation has been defended as a rational and noncoercive way to overcome paradoxical results from democratic voting, by promoting consensus on the available alternatives on the political agenda. Some critics have argued that full consensus is too demanding and inimical to pluralism and have pointed out that single-peakedness, a much less stringent condition, is sufficient to overcome voting paradoxes. According to these accounts, deliberation can induce single-peakedness through the creation of a ‘meta-agreement’, that is, agreement on the dimension according (...) to which the issues at stake are ‘conceptualized’. We argue here that once all the conditions needed for deliberation to bring about single-peakedness through meta-agreement are unpacked and made explicit, meta-agreement turns out to be a highly demanding condition, and one that is very inhospitable to pluralism. (shrink)

Nosotres, biólogues, ecologistas y otres profesionales dedicados a proteger la vida, les escribimos con una solicitud urgente. Les pedimos muy comedidamente que su organización o institución emita un comunicado oficial condenando la crisis en curso y abordando los impactos ambientales y humanitarios en Palestina.

Poiché i miei interessi di ricerca si concentrano sul rapporto tra spazio e rappresentazione, nel presente articolo commenterò un lavoro di Achille C. Varzi pubblicato nel 2008 e intitolato, nella sua versione italiana, «Configurazioni, regole e inferenze». Accennerò anche a un secondo articolo scritto da Varzi e Massimo Warglien e pubblicato nel 2003, intitolato «The Geometry of Negation». Mi rivolgerò poi alla psicologia sperimentale, collegando alcuni aspetti delle osservazioni di Varzi a un articolo di Johnson- Laird del 2005 intitolato «The (...) Shape of Problems». Nelle conclusioni, farò un ultimo riferimento a un articolo di Varzi pubblicato nel 2000, scritto con Philip Kitcher e intitolato «Some Pictures Are Worth 2 אo Sentences». Le parole configurazioni, geometry, shape e picture nei titoli degli articoli di cui mi occuperò sono dei buoni indizi per capire quale sia il filo rosso che lega a mio avviso tutti questi lavori. (shrink)

En este artículo realizamos un relevamiento exhaustivo de las publicaciones de Médicos por la Verdad, uno de los principales grupos antivacunas de Latinoamérica, en la red social Twitter durante la pandemia de COVID-19. Clasificamos sus tipos de razonamiento y el contenido de sus mensajes y mostramos que las propuestas existentes de análisis de discursos anticientíficos no pueden aplicarse a este caso particular. Proponemos, en consecuencia, una nueva categorización y su aplicación focalizada en las herramientas disponibles para comunicadores de la ciencia, (...) por un lado, y público no especializado, por el otro. (shrink)

En este trabajo, se propone una clasificación epistemológica teórica para el discurso astrológico a partir de evidencia empírica a fin de abordar el problema de cómo determinar específicamente qué es lo que lo hace ilegítimo. A partir de esta clasificación, se diseñó una intervención didáctica, enmarcada en el enfoque de Enseñanza de las Ciencias Naturales en Contexto (ECNC), con el objetivo de fomentar, en estudiantes de nivel secundario, la capacidad de distinguir enunciados cognoscitivamente ilegítimos -por infalsables o por falsos- respecto (...) de aquellos que pueden constituir genuino conocimiento científico. La secuencia didáctica se implementó con un grupo de 51 estudiantes de 14 a 17 años. Se evaluó su impacto por comparación entre un pretest y un postest. Los resultados mostraron que su capacidad de discernimiento entre enunciados falsables y no falsables se incrementó apreciablemente. (shrink)

The aim of this article is to explain why knot diagrams are an effective notation in topology. Their cognitive features and epistemic roles will be assessed. First, it will be argued that different interpretations of a figure give rise to different diagrams and as a consequence various levels of representation for knots will be identified. Second, it will be shown that knot diagrams are dynamic by pointing at the moves which are commonly applied to them. For this reason, experts must (...) develop a specific form of enhanced manipulative imagination, in order to draw inferences from knot diagrams by performing epistemic actions. Moreover, it will be argued that knot diagrams not only can promote discovery, but also provide evidence. This case study is an experimentation ground to evaluate the role of space and action in making inferences by reasoning diagrammatically. (shrink)

The aim of this article is to investigate specific aspects connected with visualization in the practice of a mathematical subfield: low-dimensional topology. Through a case study, it will be established that visualization can play an epistemic role. The background assumption is that the consideration of the actual practice of mathematics is relevant to address epistemological issues. It will be shown that in low-dimensional topology, justifications can be based on sequences of pictures. Three theses will be defended. First, the representations used (...) in the practice are an integral part of the mathematical reasoning. As a matter of fact, they convey in a material form the relevant transitions and thus allow experts to draw inferential connections. Second, in low-dimensional topology experts exploit a particular type of manipulative imagination which is connected to intuition of two- and three-dimensional space and motor agency. This imagination allows recognizing the transformations which connect different pictures in an argument. Third, the epistemic—and inferential—actions performed are permissible only within a specific practice: this form of reasoning is subject-matter dependent. Local criteria of validity are established to assure the soundness of representationally heterogeneous arguments in low-dimensional topology. (shrink)

The objective of this article is twofold. First, a methodological issue is addressed. It is pointed out that even if philosophers of mathematics have been recently more and more concerned with the practice of mathematics, there is still a need for a sharp definition of what the targets of a philosophy of mathematical practice should be. Three possible objects of inquiry are put forward: (1) the collective dimension of the practice of mathematics; (2) the cognitives capacities requested to the practitioners; (...) and (3) the specific forms of representation and notation shared and selected by the practitioners. Moreover, it is claimed that a broadening of the notion of ‘permissible action’ as introduced by Larvor (2012) with respect to mathematical arguments, allows for a consideration of all these three elements simultaneously. Second, a case from topology – the proof of Alexander’s theorem – is presented to illustrate a concrete analysis of a mathematical practice and to exemplify the proposed method. It is discussed that the attention to the three elements of the practice identified above brings to the emergence of philosophically relevant features in the practice of topology: the need for a revision in the definition of criteria of validity, the interest in tracking the operations that are performed on the notation, and the constant and fruitful back-and-forth from one representation to another in dealing with mathematical content. Finally, some suggestions for further research are given in the conclusions. (shrink)

In “The myth of mental illness” Thomas Szasz challenges the idea that mental illnesses are diseases in the biomedical sense. In his view they are more similar to a foreign language and for this reason they cannot be treated by means of biomedical therapies. The present article explores the semiotic implications of Szasz’s view of the hysterical symptoms as an iconic language. Following Reichenbach, Szasz distinguishes three classes of signs: indexical, iconic and symbolic. The somatic language of the hysteric person (...) would be an iconic protolanguage which is more primordial than the objective language. Nevertheless, it retains all the basic functions of the language: to transmit information, to induce mood, and to promote action. Five different but intertwined reasons for the use of such an iconic form of communication are discussed. In conclusion, the hysterical symptom speaks its proper language and our ethical commitment is primarily to empathically listen to it. (shrink)

In recent years, several strategies have been proposed to tackle social controversies about topics in which science is settled, among which one of the most influential is that of Elizabeth Anderson, who argues that any lay person with access to the Internet and basic education can reliably assess the acceptability of various claims involving expert knowledge. In particular, the author shows that this procedure can be successfully applied to the case of anthropogenic global warming. In this article we will try (...) to argue why, even if we concede that Anderson's proposal is satisfactory in that particular case, it fails to generalize when applied to other controversies. In this article, we illustrate it with the cases of flat-Eartherism and anti-vaxxerism. (shrink)

In this paper, I examine the book "Relations: Ontology and Philosophy of Religion" which is a collection of invited and selected papers dealing with both ontology and the philosophy of religion. It aims at showing how the two disciplines can fruitfully interact and provide useful tools for philosophical investigation. The background is relational ontology and analytical philosophy.

It does not seem particularly daring to say that one objective of science education is to enable students to understand different phenomena in the world in their mutual relationship. This is roughly equivalent to promoting knowledge of scientific explanations, which involve resorting to regular relationships between certain phenomena and which, certainly, is different from knowledge of this or that type of event taken in isolation. In this text, we will draw attention to two opposing tendencies that, however, tend towards the (...) common result of hindering the achievement of such an objective. On the one hand, we find characterizations of scientific explanation that assimilate it to argumentation and, therefore, lose sight of what specifically makes explanations explanatory; that is, they ask too little of a scientific explanation. On the other hand, those that consider paradigmatic cases of scientific explanation −such as those achieved by subsuming phenomena such as tides to Newton's laws− do not really constitute explanations but merely descriptions; it is about asking too much of an explanation here. We will therefore point out that a greater attention to the elaborations provided by the philosophy of science about the notion of explanation is crucial to better serve educational purposes. (shrink)

The aim of this work is to develop a comparative analysis of the discursive structures that underlie the socialized formation of the interpretative paradigms of reality. We analyse how both political ideologies and the so-called “conspiracy theories” can be understood starting from the structure and functioning of Marc Augè's ideo-logic, namely the systemic-discursive device that defines the field of all possible sentences defining the real. -/- .

This article discusses Rik Peels's response to Williams's argument against voluntary belief. Williams argues that voluntary beliefs must be acquired independently of truth-considerations, so they cannot count as beliefs after all, since beliefs aim at truth. Peels attempted to reply by showing that in cases of self-fulfilling beliefs, a belief can indeed be voluntarily acquired in conditions which retain the necessary truth-orientation. But even if we make two crucial concessions to Peels’s proposal, his argument ultimately fails. The first concession is (...) that beliefs can be weakly voluntary-namely, we can acquire them at will though we do not preserve them at will but on the basis of evidence. Conceding this, however, only lands us in the “acquisition problem”: how a belief can be acquired qua belief when we still do not think we have justification for it. This leads us to the second concession: that knowing in advance that a certain belief is self-fulfilling provides us with such a justification. However, this concession lands us in the ultimate obstacle: that, precisely because such a justification is available both before and at the moment of forming the belief, the cognitive perspective of the subject is identical at both moments, which obscures what it even means to say that at a certain moment she started to have a belief. (shrink)

Achille Varzi è uno dei maggiori metafisici viventi. Nel corso degli anni ha scritto testi fondamentali di logica, metafisica, mereologia, filosofia del linguaggio. Ha sconfinato nella topologia, nella geografia, nella matematica, ha ragionato di mostri e confini, percezione e buchi, viaggi nel tempo, nicchie, eventi e ciambelle; e non ha disdegnato di dialogare con gli abitanti di Flatlandia, con Neo e con Terminator. Tra le sue opere principali: Holes and Other Superficialities e Parts and Places. The Structures of Spatial Representation, (...) entrambi scritti insieme a R. Casati per MIT Press; Il mondo messo a fuoco, Laterza; e il suo libro più recente: Le tribolazioni del filosofare, con C. Calosi, per Laterza. -/- Da una giornata all’Università di Urbino nasce questa conversazione a molte voci sulla e con la filosofia di Achille C. Varzi. In un dialogo critico al quale l’Autore si presta con generosità e onestà intellettuale, Andrea Borghini, Francesco Calemi, Claudio Calosi, Elena Casetta, Valeria Giardino, Pierluigi Graziani, Patrizia Pedrini, Daniele Santoro e Giuliano Torrengo lo interrogano e mettono alla prova sui temi affrontati, nel corso degli anni, in campi diversi. Il risultato è un percorso che si snoda attraverso molti mondi, dalla logica alla metafisica, dalla filosofia del linguaggio alla filosofia della matematica, dalla mereologia alla filosofia del tempo, spingendosi in qualche caso oltre i confini del saggio filosofico. (shrink)

This thesis describes two classes of Dialectica categories. Chapter one introduces dialectica categories based on Goedel's Dialectica interpretation and shows that they constitute a model of Girard's Intuitionistic Linear Logic. Chapter two shows that, with extra assumptions, we can provide a comonad that interprets Girard's !-course modality. Chapter three presents the second class of Dialectica categories, a simplification suggested by Girard, that models (classical) Linear Logic and chapter four shows how to provide modalities ! and ? for this second class (...) of construction. (shrink)

The first aim of this note is to describe an algebraic structure, more primitive than lattices and quantales, which corresponds to the intuitionistic flavour of Linear Logic we prefer. This part of the note is a total trivialisation of ideas from category theory and we play with a toy-structure a not distant cousin of a toy-language. The second goal of the note is to show a generic categorical construction, which builds models for Linear Logic, similar to categorical models GC of (...) [deP1990], but more general. The ultimate aim is to relate different categorical models of linear logic. (shrink)

Benchmarking automated theorem proving (ATP) systems using standardized problem sets is a well-established method for measuring their performance. However, the availability of such libraries for non-classical logics is very limited. In this work we propose a library for benchmarking Girard's (propositional) intuitionistic linear logic. For a quick bootstrapping of the collection of problems, and for discussing the selection of relevant problems and understanding their meaning as linear logic theorems, we use translations of the collection of Kleene's intuitionistic theorems in the (...) traditional monograph "Introduction to Metamathematics". We analyze four different translations of intuitionistic logic into linear logic and compare their proofs using a linear logic based prover with focusing. In order to enhance the set of problems in our library, we apply the three provability-preserving translations to the propositional benchmarks in the ILTP Library. Finally, we generate a comprehensive set of reachability problems for Petri nets and encode such problems as linear logic sequents, thus enlarging our collection of problems. (shrink)

We present a bibliography of Francisco Miró Quesada Cantuarias’ works divided by subject and subdivided by work type, and compare it with the last version of that made by Sobrevilla.

Este libro, es el segundo de la serie La Cultura en el Uruguay: una mirada desde las Ciencias Económicas. Tal como señaló en el primer volumen, los estudiantes de la Facultad de Ciencias Económicas y de Administración de la Universidad de la República realizan como trabajo final de carrera, una investigación o ensayo monográfico en un área de su interés, tutorados por un docente universitario o un investigador de reconocida trayectoria. Un gran número de estos trabajos monográficos han hecho un (...) aporte valioso al conocimiento pero, lamentablemente, la poca difusión de éstos hace que el conocimiento adquirido termine olvidado en los fondos de la biblioteca de dicha Facultad, entre cientos de producciones monográficas. Al igual que en el volumen anterior, se pretende en éste, continuar mostrando los aportes que se han generado en el área tanto de Economía de la Cultura como de Gestión de Organizaciones Culturales, en una línea de investigación que me enorgullece coordinar, y en la que vuelco cotidianamente mis mayores esfuerzos. Cabe señalar, que el primer libro trató sobre diversos temas vinculados a la Cultura, atendiendo a una clasificación clásica en la disciplina que divide -o solía dividir- el objeto de estudio en Patrimonio, Artes Escénicas e Industria Cultural, y por ende, abarcó temáticas diversas. En esta segunda entrega, y ante la imposibilidad de recoger la totalidad de los trabajos monográficos producidos en el lapso comprendido entre la edición del primer y segundo volumen, se optó por efectuar una selección temática en vez de cronológica, por lo que se muestran en este libro solamente los trabajos que atañen a la Gestión y Economía de los Museos, y a un tema estrechamente vinculado, por la injerencia que tiene uno en el otro, que es el análisis económico del mercado de arte, en este caso, por medio de subastas. Todos los trabajos aquí presentados fueron tutorados por mí, aunque no en exclusividad. Primando la excelencia académica, y entendiendo que varios de los temas tratados tenían una especificidad considerable, recurrí, tal como es usual en el ámbito académico, -que valora la discusión entre pares y la consideración de opiniones de especialistas- a la ayuda de diversos colegas para que estas monografías pudieran concretarse con el mejor nivel académico posible. La primera investigación que se presenta fue realizada por las Contadoras Ana Macias y Ma. Fernanda Rimoldi, titulada Museos, una visión desde la Gestión de Calidad. Dicha investigación, tutorada conjuntamente con la especialista en calidad Cra Sara Gerpe, buscó determinar si es aplicable el Modelo Iberoamericano de Gestión de Calidad en Museos, para lo que se consideró una muestra de 14 museos montevideanos. Dicho trabajo propició un premio de un concurso organizado por el Ministerio de Educación y Cultura, denominado Tu Tesis en Cultura, y por ende, no necesita más presentación. La Cultura en Uruguay: una mirada desde las Ciencias Económicas El segundo trabajo, titulado Sistema de Museos: Planificación Estratégica. Un diagnóstico previo, de las Cras Andrea de Armas, Cecilia Moreira y Valeria Palacios, trata sobre un caso de estudio de gran importancia para el atractivo turístico y patrimonial, como es el Sistema de Museos de Colonia de Sacramento, y realiza un diagnóstico enmarcado en la gestión estratégica de las organizaciones museísticas. Las conclusiones no son generalizables a otros museos que los que integran el Sistema de Museos de Colonia, sin embargo, la metodología empleada es fácilmente extrapolable a otros museos, tanto uruguayos como del exterior, que busquen comenzar el camino de la planificación estratégica. En tercer lugar, se expone la monografía de los Contadores Yamila Hernández, Sebastián Maidán y Ana Laura Mascheroni, que trata un tema crucial en los albores del siglo XXI como es la Responsabilidad SocialCorporativa. Este trabajo también se basa en un estudio de caso, y la organización bajo análisis es el Museo del Carnaval, museo que tiene una conducta innovadora que posibilita vincular el museo con programas pioneros en responsabilidad social en Uruguay. El trabajo se denomina Balance Social Museo del Carnaval y fue tutorado en forma conjunta con un referente en Responsabilidad Social Empresaria como es el Cr. Walter Rossi. El cuarto trabajo fue una producción de los Licenciados en Economía Tatiana Cóppola y Fernando González y se titula Museos en el Uruguay: Una visión económica. La investigación buscó la relación entre la variable visitante de una institución museística, y otras variables explicativas, como son la valoración del acervo, costos operativos, apertura horaria, entre otras, logrando probar que la variable relacionada a la captación de visitantes, para la muestra analizada, es la variable Difusión. Esta monografía la tutoré en forma compartida con el Dr. Gustavo Bouquet y el Lic. Raúl Ramírez, en una situación absolutamente atípica en el que el número de tutores supera el de estudiantes. Pero bien valió la pena la excepción en vista de los excelentes logros alcanzados. Para finalizar, se presenta la monografía titulada Formación de Precios de Pintura Nacional en Subasta: un Modelo y su Aplicación con la que accedieron al título de Licenciados en Economía Javier Chiossi y Matías De Vecchi. Se incluyó dicho trabajo en este volumen, que trata básicamente sobre museos, porque entiendo que el Mercado de Arte está indudablemente vinculado a la política de compras de los museos, en especial los contemporáneos. Cabe destacar que este trabajo contó con el apoyo de la Dra. Celina Gutiérrez, quien accedió a compartir la tutoría de un tema que escapaba mis posibilidades, logrando un excelente resultado. Merece señalar que cada trabajo original supera el centenar de páginas, y que por ende, no es posible publicarlos completamente, por lo que para este libro se hicieron resúmenes de las investigaciones realizadas, intentando adecuar la terminología y quitándoles el formato estrictamente científico -poco amigable para un no especialista-, de forma tal que su lectura sea accesible al público en general. También quiero señalar, que el prólogo del primer volumen, lo finalicé con la frase: “Espero que este libro sea el primero de una larga lista. Las áreas de Economía de la Cultura y Gestión de Organizaciones Culturales son disciplinas jóvenes que necesitan seguir creciendo. La investigación realizada por trabajos monográficos de fin de carrera en estas áreas, será siempre bienvenida” La Facultad ha comenzado un nuevo plan de estudio, en el que se eliminó la obligatoriedad de presentar una tesina o monografía como condición necesaria para obtener el título. No obstante, aún contamos con una decena de monografías que no han sido publicadas y que espero se concreten en el o los siguientes volúmenes de esta serie. (shrink)