A theory of magnitudes involves criteria for their equivalence, comparison and addition. In this article we examine these aspects from an abstract viewpoint, by focusing on the so-called De Zolt’s postulate in the theory of equivalence of plane polygons (“If a polygon is divided into polygonal parts in any given way, then the union of all but one of these parts is not equivalent to the given polygon”). We formulate an abstract version of this postulate and derive it from some (...) selected principles for magnitudes. We also formulate and derive an abstract version of Euclid’s Common Notion 5 (“The whole is greater than the part”), and analyze its logical relation to the former proposition. These results prove to be relevant for the clarification of some key conceptual aspects of Hilbert’s proof of De Zolt’s postulate, in his classicalFoundations of Geometry(1899). Furthermore, our abstract treatment of this central proposition provides interesting insights for the development of a well-behaved theory ofcompatiblemagnitudes. (shrink)

The paper outlines an interpretation of one of the most important and original contributions of David Hilbert’s monograph Foundations of Geometry , namely his internal arithmetization of geometry. It is claimed that Hilbert’s profound interest in the problem of the introduction of numbers into geometry responded to certain epistemological aims and methodological concerns that were fundamental to his early axiomatic investigations into the foundations of elementary geometry. In particular, it is shown that a central concern that motivated Hilbert’s axiomatic investigations (...) from very early on was the aim of providing an independent basis for geometry. Accordingly, these concerns about an independent grounding for elementary geometry determined very clear methodological constraints in the process of embedding it into a formal axiomatic system. It is argued that Hilbert not only sought to show that geometry could be considered a pure mathematical theory, once it was presented as a formal axiomatic system; he also aimed at showing that in the construction of such an axiomatic system one could proceed purely geometrically, avoiding concept formations borrowed from other mathematical disciplines like arithmetic or analysis. (shrink)

In this note we shall argue that Milne’s new effort does not refute Truthmaker Maximalism. According to Truthmaker Maximalism, every truth has a truthmaker. Milne has attempted to refute it using the following self-referential sentence M: This sentence has no truthmaker. Essential to his refutation is that M is like the Gödel sentence and unlike the Liar, and one way in which Milne supports this assimilation is through the claim that his proof is essentially object-level and not semantic. In Section (...) 2, we shall argue that Milne is still begging the question against Truthmaker Maximalism. In Section 3, we shall argue that even assimilating M to the Liar does not force the truthmaker maximalist to maintain the ‘dull option’ that M does not express a proposition. There are other options open and, though they imply revising the logic in Milne’s reasoning, this is not one of the possible revisions he considers. In Section 4, we shall suggest that Milne’s proof requires an implicit appeal to semantic principles and notions. In Section 5, we shall point out that there are two important dissimilarities between M and the Gödel sentence. Section 6 is a brief summary and conclusion. (shrink)

The paper surveys different notions of implicit definition. In particular, we offer an examination of a kind of definition commonly used in formal axiomatics, which in general terms is understood as providing a definition of the primitive terminology of an axiomatic theory. We argue that such “structural definitions” can be semantically understood in two different ways, namely as specifications of the meaning of the primitive terms of a theory and as definitions of higher-order mathematical concepts or structures. We analyze these (...) two conceptions of structural definition both in the history of modern axiomatics and in contemporary philosophical debates. Based on that, we give a systematic assessment of the underlying semantics of these two ways of understanding the definiens of such definitions, by considering alternative model-theoretic and inferential accounts of meaning. (shrink)

Based on a theoretical approach to current problems of democracy, the amplification of the public citizen action sphere, and changes generated by the transitions in democratic systems, the Venezuelan political process is analyzed since the rise to power of Hugo Chávez in 1998. The Chavez pheno..

This paper provides a detailed study of David Hilbert’s axiomatization of the theory of plane area, in the classical monograph Foundation of Geometry. On the one hand, we offer a precise contextualization of this theory by considering it against its nineteenth-century geometrical background. Specifically, we examine some crucial steps in the emergence of the modern theory of geometrical equivalence. On the other hand, we analyze from a more conceptual perspective the significance of Hilbert’s theory of area for the foundational program (...) pursued in Foundations. We argue that this theory played a fundamental role in the general attempt to provide a new independent basis for Euclidean geometry. Furthermore, we contend that our examination proves relevant for understanding the requirement of “purity of the method” in the tradition of modern synthetic geometry. (shrink)

We respond to criticism of our paper “Paradox in Wave-Particle Duality for Non-Perturbative Measurements”. We disagree with Steuernagel’s derivation of the visibility of the Afshar experiment. To calculate the fringe visibility, Steuernagel utilizes two different experimental situations, i.e. the wire grid in the pattern minima and in the pattern maxima. In our assessment, this procedure cannot lead to the correct result for the complementarity properties of a wave-particle in one particular experimental set-up.

Resumen: La tolerancia es un privilegio de los poderosos. Una persona puede tolerar sólo si tiene el poder para interferir con aquello que objeta. En este artículo analizaré las circunstancias en las que alguien tiene el poder para tolerar. Argumentaré que la respuesta debe incorporar consideraciones tanto prácticas como metafísicas. Específicamente, defenderé que alguien tiene el poder para tolerar cuando sus propiedades fundan tal poder en la situación práctica en que ella se encuentra, según es caracterizada por sus intereses prácticos. (...) Al hacerlo criticaré el análisis del mencionado poder realizado por Glen Newey. (shrink)

This paper is a reply to Benjamin Smart’s : 319–332, 2013) recent objections to David Armstrong’s solution to the problem of induction : 503–511, 1991). To solve the problem of induction, Armstrong contends that laws of nature are the best explanation of our observed regularities, where laws of nature are dyadic relations of necessitation holding between first-order universals. Smart raises three objections against Armstrong’s pattern of inference. First, regularities can explain our observed regularities; that is, universally quantified conditionals are required (...) for explanations. Second, if Humean’s pattern of inference is irrational, then Armstrong’s pattern of inference is also irrational. Third, universal regularities are the best explanation of our observed regularities. I defend Armstrong’s solution of induction, arguing against these three claims. (shrink)

This introduction positions the special issue by highlighting the inherent relationality of place as well as how place is not just an object of analysis but something that shapes thinking, writing and experiences of the world. We reflect on why sociology has found it somewhat more difficult than its social science counterparts to give place the centrality it merits, and discuss whether this reflects a problem with dealing with questions of ‘scale’ and thinking the ‘in-betweenness’ of place. We assess important (...) formulations of place in recent place theories, including non-essentialist framings of place such as ‘progressive’ and as ‘assemblage’. We make a case for seeing the articles in this special issue (and Thesis Eleven’s own long history of publishing writing on the topic of place) as resonating with the themes of place as materiality, atmospheres and spaces of belonging. (shrink)

The paper presents Amartya Sen’s critique of the anthropological model that underlies the conception of neoclassical economics, in order to present the conception of subject offered by the abilities approach and then the notion of development as freedom.

O problema com o qual nos defrontamos no presente texto é o da necessidade dos dualismos pulsionais freudianos, especialmente aquele apresentado em “Além do Princípio de Prazer”. Tal problema persiste como uma marca da Überbau metapsicológica freudiana e, do ponto de vista deste artigo, reivindica uma análise mais pormenorizada, no sentido de sabermos, afinal, se essa marca dualista das teorias se sustenta efetivamente, ou se, inadvertidamente, Freud possa ter criado condições para que ela pudesse ser questionada, e, nesse caso, de (...) que modo e em que sentido. (shrink)

This paper defends the Quine-Putnam mathematical indispensability argument against two objections raised by Penelope Maddy. The objections concern scientific practices regarding the development of the atomic theory and the role of applied mathematics in the continuum and infinity. I present two alternative accounts by Stephen Brush and Alan Chalmers on the atomic theory. I argue that these two theories are consistent with Quine’s theory of scientific confirmation. I advance some novel versions of the indispensability argument. I argue that these new (...) versions accommodate Maddy’s history of the atomic theory. Counter-examples are provided regarding the role of the mathematical continuum and mathematical infinity in science. (shrink)

Mathematical proofs aim to establish the truth of mathematical propositions by means of logical rules. Some recent literature in philosophy of mathematics alleges that some mathematical proofs also reveal why the proved mathematical propositions are true. These mathematical proofs are called explanatory mathematical proofs. In this paper, I present and discuss some salient problems around mathematical explanation: the existence problem, the normative problem, the explanandum problems of truth value and psychological value, the logical structure problem, the regress problem and the (...) modelling problem. At the end, I sum up two contemporary models for mathematical explanation – the deductive-nomological model and the model of Steiner. I analyse these models against the previous problems. (shrink)

This article tries to delineate the proposition that to Feuerbach nature is an autonomous and independent being that comes first in comparison to the spirit. To him, material nature, that exists in its qualitative differentness, independent from thinking, is the original source, the immediate, not deductible, uncreated fundament of all real existence, that exists and consists in itself, when put vis-a-vis the spirit. Feuerbach sets nature against the spirit, for it is his understanding that nature is not a pure other (...) that only through the spirit was set as nature, but as the first source, the objective material reality that exists outside reason and is given to man by means of his senses as fundament and essence of his life. Therefore, one is dealing first with that essence (light, air, water, fire, plants, animals etc) without which man does not exist or could be thought of as existing. To Feuerbach nature is all objects and essences put together. Under this condition it is possible to conceive nature as guarantor of externality itself as if it could exist independently from us, an entity that is unaware of itself and which exists in itself and by itself; for this reason it shall not be seen as something which it is not, i.e., neither divine nor human. Nature always existed, i.e., it exists in itself and has only meaning in itself; it is itself, i.e., it has no mystical essence, it does not hide behind it any absolute being whether human, divine, transcendental or ideal. (shrink)

I propose a deductive-nomological model for mathematical scientific explanation. In this regard, I modify Hempel’s deductive-nomological model and test it against some of the following recent paradigmatic examples of the mathematical explanation of empirical facts: the seven bridges of Königsberg, the North American synchronized cicadas, and Hénon-Heiles Hamiltonian systems. I argue that mathematical scientific explanations that invoke laws of nature are qualitative explanations, and ordinary scientific explanations that employ mathematics are quantitative explanations. I analyse the repercussions of this deductivenomological model (...) on causal explanations. (shrink)

This paper analyzes the theory of area developed by Euclid in the Elements and its modern reinterpretation in Hilbert’s influential monograph Foundations of Geometry. Particular attention is bestowed upon the role that two specific principles play in these theories, namely the famous common notion 5 and the geometrical proposition known as De Zolt’s postulate. On the one hand, we argue that an adequate elucidation of how these two principles are conceptually related in the theories of Euclid and Hilbert is highly (...) relevant for a better understanding of the respective geometrical practices. On the other hand, we claim that these conceptual relations unveil interesting issues between the two main contemporary approaches to the study of area of plane rectilinear figures, i.e., the geometrical approach consisting in the geometrical theory of equivalence and the metrical approach based on the notion of measure of area. Finally, in an appendix logical relations among equivalence, comparison and addition of magnitudes are examined schematically in an abstract setting. (shrink)

El último año un número significativo de países desarrollados y del tercer mundo iniciaron procesos de transformación social y política a partir de levantamientos, revoluciones y movimientos impulsados por una ciudadanía hasta ahora distanciada e incluso segregada de la esfera política. En algunos países el imperio del mercado, en otros la fuerza represiva de regímenes autoritarios, en los más privilegiados, un nihilismo extendido producto del bienestar material acumulado, venía desde hace añ..

Jürgen Habermas’s recent book Die Zukunft der menschlichen Natur (2001) is discussed. Particular attention is paid to the central argument concerning the adverse effects the general acceptance of cloning and pre-implantation genetic diagnostics (PGD) would have on the moral and political self-understanding of present and future generations. The argument turns to a critique of Habermas’s central arguments against PGD, and develops at least two arguments that are in harmony with his general defense of procedural democracy and deontological morality. Appeal is (...) made to Peter Singer and John Rawls to develop arguments that do not reject either PGD or genetic engineering and that are nonetheless in full compliance with the spirit of political modernity, as it is defended and defined by Habermas. The conclusion calls for less moralizing and more political-economic critique of the biotechnologies unleashed by the information revolution. (shrink)

: O presente artigo evidencia, por um lado, o mérito da filosofia de Espinosa, pelo fato de haver submetido a oposição das partes e do todo, do corpo e da alma, da matéria e do espírito, à unidade da substância, já que toda parte singular da substância pertence à sua natureza. Por outro lado, destaca a crítica de Feuerbach a Espinosa, porque a filosofia deste é, na verdade, uma filosofia da identidade, que não reconhece, como Hegel também assinala, a substância (...) como espírito e o espírito como substância, e não determina suficientemente a unidade da matéria e do espírito, já que falta a ela a realidade da diferença, da determinidade. Enquanto Espinosa identifica Deus com a natureza (Deus sive natura) e, mediante a natureza divina (a substância), supera a contradição de Descartes entre matéria (res extensa) e espírito (res cogitans), Feuerbach quer, em oposição ao panteísmo, a diferença entre natureza e Deus (aut Deus aut natura). (shrink)

Sobre la base que aportan las notas manuscritas de David Hilbert para cursos sobre geometría, el artículo procura contextualizar y analizar una de las contribuciones más importantes y novedosas de su célebre monografía Fundamentos de la geometría, a saber: el cálculo de segmentos lineales. Se argumenta que, además de ser un resultado matemático importante, Hilbert depositó en su aritmética de segmentos un destacado significado epistemológico y metodológico. En particular, se afirma que para Hilbert este resultado representaba un claro ejemplo de (...) uno de los rasgos más fructíferos y atractivos de su nuevo método axiomático formal, o sea, la capacidad de descubrir y exhibir conexiones estructurales o internas entre diferentes teorías matemáticas. On the basis of a set of unpublished notes for lecture courses on geometry, the paper seeks to contextualize and analyze one of the most important and original contributions of David Hilbert's celebrated monograph Foundations of Geometry, namely its arithmetic of line segments. It is argued that Hilbert attributed to his arithmetic of segments an important epistemological and methodological meaning, in addition to its relevance as an original mathematical result. In particular, it is claimed that for Hilbert his arithmetic of segments represented a clear example of one of the most fruitful and attractive traits of his new formal axiomatic method, i.e., the power to discover and exhibit inner or structural connections among different mathematical theories. (shrink)

Theoria, Volume 88, Issue 3, Page 629-652, June 2022.

El artículo presenta y analiza un conjunto de notas manuscritas de clases para cursos sobre geometría, dictados por David Hilbert entre 1891 y 1905. Se argumenta que en estos cursos el autor elabora la concepción de la geometría que subyace a sus investigaciones axiomáticas en Fundamentos de la geometría . Por un lado, afirmo que lo que caracteriza esta concepción de la geometría es: i) una posición axiomática abstracta o formal; ii) una posición empirista respecto del origen de la geometría (...) y de su lugar dentro de las distintas teorías matemáticas. Por otro lado, sostengo que el papel que Hilbert le confiere a la intuición geométrica en el proceso de axiomatización de esta teoría, permite apreciar claramente su oposición respecto de las posiciones formalistas con las que habitualmente es identificado. (shrink)

This paper aims to offer an interpretation of the Transcendental Deduction of the Categories which puts together two of its most distinctive and fundamental traits: the constant reference to the temporal character of the human consciousness and the use of the analytic method of exposition. We will defend the thesis that the connection between both traits is essential, i. e., it will be argued that it is precisely the usage of the analytic method what confers to the pure consciousness of (...) time a significant role in the structure of the argument. With this thesis an alternative reading of the A-Deduction is pursued, one which moves away from the predominant one which claims that Kant's persistent allusion in it to the pure time representation - and to the synthesis which make it possible - is just a direct consequence of its psychological character.El objetivo del artículo es ofrecer una interpretación de la Deducción Transcendental de las Categorías que ponga en relación dos de sus aspectos más distintivos y fundamentales: la referencia permanente al carácter temporal de la conciencia humana, y la utilización del método analítico de exposición. Se defenderá la tesis de que la conexión entre ambos aspectos es esencial, en tanto que es precisamente la adopción del método analítico lo que determina que se le confiera a la conciencia pura del tiempo un rol fundamental en la estructura del argumento. Con esta tesis se intenta ofrecer una lectura alternativa de la Deducción A, que se diferencie de la habitual según la cual la apelación constante de Kant a la representación pura del tiempo - y a las síntesis que lo hacen posible - es una consecuencia directa del carácter psicologista que la distingue. (shrink)

El artículo examina una de las contribuciones más importantes a los fundamentos de la geometría euclídea elemental lograda por David Hilbert en su obra Fundamentos de la geometría, a saber: la reconstrucción de la teoría euclídea de las proporciones y de los triángulos semejantes. Se argumenta que dicha reconstrucción no sólo estuvo motivada por la identificación de Hilbert de suposiciones implícitas en la teoría de Euclides, sino que además estuvo esencialmente ligada a la preocupación por la 'pureza del método'. Más (...) aún, se afirma que, en este caso específico, el requerimiento de Hilbert por la pureza del método posee un carácter general o fundacional, esto es, no se refiere a la demostración de un teorema en particular, sino más bien es planteado respecto de la construcción axiomática de la teoría misma. (shrink)

Os avanços da democracia no Brasil não têm resultado num processo amplo de discussão sobre a cidadania, seus significados e realização. Este fato pode ser verificado pelo número cada vez maior de discursos que resumem o exercício da cidadania a participação nas eleições. O presente artigo tem como intuito discutir de que maneira a construção de outros fóruns de discussão e de participação popular podem possibilitar redefinições da democracia e da cidadania, que busquem fomentar a participação efetiva e a construção (...) da esfera pública. Para tanto, analisa o papel que as escolas públicas da periferia paulista podem ter neste processo ao se tornarem lócus da construção da cidadania, com a implementação de um modelo de gestão democrática que, busque, através da construção coletiva do Projeto Político-Pedagógico, a real participação da comunidade e dos diferentes sujeitos que dela fazem parte. The progress of democracy in Brazil has not resulted in an extensive process of discussion of citizenship, its meaning and fulfillment. This fact can be verified by the increasing number of speeches which summarize the exercise of citizenship participation in elections. This article has the intention to discuss how the construction of other discussion forums and popular participation can enable redefinitions of democracy and citizenship, which seek to promote the effective participation and the construction of the public sphere. It analyzes the role that public schools on the outskirts of São Paulo in this process may have become the locus of citizenship building, with the implementation of a model of democratic management that seeks, through the collective construction of the Political-Pedagogical Project, the real community participation and the different subjects that are part of it. (shrink)

En este artículo se analiza el comentario de Maimon al intento kantiano de vincular sensibilidad y entendimiento. En la Crítica de la razón pura, Kant distingue dos facultades de conocimiento, que deben ser unidas para que el conocimiento objetivo sea posible. Maimon cuestiona que la vinculación sea realizable. Luego de exponer el punto de partida kantiano, se analizan los argumentos maimonianos, planteando dificultades sistemáticas que afectarían al intento de vinculación kantiano.

Turing progressions arise by iteratedly adding consistency statements to a base theory. Different notions of consistency give rise to different Turing progressions. In this paper we present a logic that generates exactly all relations that hold between these different Turing progressions given a particular set of natural consistency notions. Thus, the presented logic is proven to be arithmetically sound and complete for a natural interpretation, named the formalized Turing progressions interpretation.

In a large Colombian teaching hospital, a fifty-five-year-old woman complaining of stomach pain is examined by a foreign-exchange medical student from the United States. Speaking in Spanish, the student elicits a medical history that suggests a possible recurrence of gallstones, but nothing further. Upon discussing the patient's case in private with the attending physician, the student is shocked to learn that the patient is suffering from terminal, metastatic gastric cancer but is unaware of her diagnosis. The attending physician explains that (...) the patient's husband instructed the health care providers not to tell the patient what her diagnosis is. The medical student feels uncomfortable withholding the diagnosis from the patient. The thought of disclosure feels equally uncomfortable, however, as it would mean contradicting the instructions of the attending physician at the host hospital as well as violating what the student suspects, but is not sure, may be acceptable medical practice in Colombia. How should the medical student proceed? (shrink)

RESUMO: Não há, no pensamento de Marx, uma elaboração sistemática acerca da religião, embora haja uma crítica a ela enquanto crítica social das condições materiais de existência, que é o fundamento dela. Para Marx, a religião, entendida especificamente como superstição, idolatria, “ópio”, a qual conforma o homem e embaraça a sua consciência, deve ser negada, mas não se trata pura e simplesmente de um desprezo, de uma proibição ou perseguição à religião, nem tampouco de uma negação em geral a ela, (...) uma vez que ela é uma questão privada e deve ser respeitada, mas de desvelar o véu religioso presente na sociedade e no seu ordenamento político, no Estado, que oculta a exploração e a opressão humana. A crítica à religião como crítica da realidade social, da qual ela nasce e é expressão ideal, contribui, de certa forma, para a emancipação social do homem. ABSTRACT: it is not to be found in Marx’s thought a systematic elaboration concerning religion, although there is indeed a critical appraisal of it as a result from his social critique of material conditions of human existence which is its foundation. In Marx’s perception, religion is understood specifically as superstition, idolatry, “opiate”, something that pushes man to accommodation and twists his conscience, and as such should be dismissed, this act being not, however, a mere refusal, prohibition or persecution, or a wide negation of it, considering that it is a private issue and as such should be respected, but as an effort to cast off the religious veil covering society and its political ordainment commanded by the State, and hides exploitation and oppression of human beings. Critique of religion as an evaluation of social reality, from which religion derives, is an ideal proposition that to a certain extension contributes to the social emancipation of men. (shrink)

This paper argues that an explanation of the role of aesthetic patterning in human action needs to be part of any “qualitative” social theory. It urges the social sciences to move beyond contextualism and to see art as visual, acoustic and other media that lead to heightened sensory perception and the coordination of feelings through symbols. The article surveys the argument that art provides a basic model of how the self learns to interact with external environments; and the complementary thesis (...) that art could be seen as integral to the emergence of systems of human knowledge, communication and economy. Ornamentation and stylization are advanced as two concrete devices through which human attention is captured and experience is ordered through aesthetic patterns. The conclusion is drawn that art offers the social sciences a meaningful account of the perceptual or “qualitative” dimensions of social interactions; and that this is much needed today. (shrink)

Democracy is seen today as being in erosion or crisis both in the Global North and South. This article puts forward the concept of ‘dependent democracy’ in order to explain that much of the lack of success of democracy in the South in guaranteeing political participation and economic inclusion and wellbeing for the majority of the population is due to a specific tendency of democracy there. Adapting some insights from the more economics focused Dependency theory towards a more contemporary point (...) of view from political sociology and international political sociology, dependent democracy is understood as a democracy that exists in a subaltern position within the hierarchical, post-imperial and neo-imperial global capitalist order. Dependent democracies thus tend to be less ‘democracies’ and more ‘oligarchies’ within a form of government in the South that can be understood as existing in a global pyramid of semi-peripheries, middle peripheries and outer peripheries. (shrink)

I discuss some aspects of the epistemological distinction between laws of nature and accidental uniformities. In order that the exposition be self-contained I briefly provide a taxonomy proposed in another work for statements that appear in a scientific theory. Once this taxonomy has been presented I attempt to prove two very different types of accidental uniformities: hard and soft. The distinction is fundamental because the latter have frequently been confused with laws of nature. I try to justify why I believe (...) that these statements are accidental uniformities and not laws of nature. (shrink)

En 2024, los actos académicos y culturales en torno a la figura de Immanuel Kant serán amplios y diversos, toda vez que se cumple el tricentenario de su nacimiento. Al ser Kant una figura tan capital no solo en la filosofía, sino en la historia cultural de Occidente, es momento propicio para reflexionar sobre sus aportes a las distintas ramas del conocimiento, entre ellas la filosofía de la religión, en la que hay temas y vertientes de discusión de la mayor (...) actualidad. (shrink)

EI tratamiento que hace Descartes deI ‘yo pienso-existo’, lejos de todo proceder inferencial, nos muestra la condición propia de un pensamiento que es “res cogitans”: mi ‘asistir a’ como condición originaria de la fuerza de realidad que soy. Así, el conocimiento que tengo de mí como pensamiento es prejudicativo: no necesita afirmación alguna, sino que expresa prevolitivamente el ser-siendo, o acto, que soy como pensamiento, y que no se extiende a mi cuerpo. The treatment Deseartes does of ‘I think - (...) I exist’ far from any inference, shows the conditioning which is proper of a “res cogitans” thought: my ‘attendance to’ as the originary conditioning of the strength of reality which I am. Thus, the Knowledge I have of myself as thought is prejudicative: it needs no affirmation but it expresses prevolitionally the ‘to be-being’, or act, that I am as thought and which does not extend to my body. (shrink)

En este artículo, me propongo exponer algunas dificultades relacionadas con la posibilidad de que la Teoría de Modelos pueda constituirse en una Teoría General de la Interpretación. Específicamente la idea que sostengo es que lo que nos muestra la Paradoja de Orayen es que las interpretaciones no pueden ser ni conjuntos ni objetos. Por eso, una elucidación del concepto intuitivo de interpretación, que apele a este tipo de entidades, está condenada al fracaso. De manera secundaria, muestro que no hay algún (...) supuesto conjuntista que sea imprescindible para que surja la mencionada paradoja: sólo se necesita que las interpretaciones sean objetos. Voy a argumentar que si las interpretaciones son objetos, tal como lo supone la posibilidad de cuantificar sobre las mismas para poder dar una caracterización satisfactoria de consecuencia lógica, la au-toaplicación (como un caso de aplicación de los recursos semánticos de la teoría de modelos para encontrar una interpretación con máxima generalidad) es imposible. Finalmente, discuto cada una de las dos soluciones que el propio Orayen imaginó frente a su paradoja, y muestro que cada una posee diferentes dificultades.In this paper, I intend to present some problems to construe the Model Theory as a Theory of Interpretation. Specifically, I am going to defend that, according to the Paradox of Orayen, interpretations can not be neither set nor object. Thus, an explication of the intuitive concept of interpretation that appeals to these types of entities will be condemned to failure. Secondary, I will show that there is not any like-set assumption indispensable to get rise to that paradox: only all is needed is the assumption that interpretations are objects. I am going to argue that if interpretations are objects, as it is assumed by the possibility of quantifying over interpretations in order to offer an satisfactory characterization of logical consequence, self-application (as a case of application of semantics resources of the Model Theory for finding a interpretation with absolute generality) is not possible. Eventually, I will discuss both of the solutions provided by Orayen to his paradox and I will support that both have different difficulties. (shrink)