SÍNTESE - Em consonância com o método fenomenológico- hermenêutico traçado por Martin Heidegger em Sein und Zeit, a expressão prático-auto-referencial "eu sou" [sum] deve anteceder toda predicação sobre o humano ser/estar-aí-no-mundo. A este pertence a culpa/ dívida [Schuld] enquanto sentir-se/compreender-se e confessar-se como ser-culpado/devedor [Schuldigsein]. "Sou culpado por" resulta da junção de "sou responsável por" com o "não" implícito na idéia de falta. O responder ativo-projetivo do ser-aí [Dasein] por seu ter-queser está marcado, prévia e ontologicamente, pela impossibilidade de autofundação (...) e pela possibilidade, sempre iminente, de não--ser/estaraí- no mundo; e, no plano ôntico, está permeado pela necessária restrição de possibilidades de ação e pelo inelutável retraimento a possibilidades alternativas. O texto explicita algumas potencialidades de incidência corretiva deste conceito ontológico-existencial de culpa sobre a autocompreensão do homem contemporâneo. (shrink)

A close examination of the literature on ontology may strike one with roughly two distinct senses of this word. According to the first of them, which we shall call traditional ontology , ontology is characterized as the a priori study of various “ontological categories”. In a second sense, which may be called naturalized ontology , ontology relies on our best scientific theories and from them it tries to derive the ultimate furniture of the world. From a methodological point of view (...) these two senses of ontology are very far away. Here, we discuss a possible relationship between these senses and argue that they may be made compatible and complement each other. We also examine how logic, understood as a linguistic device dealing with the conceptual framework of a theory and its basic inference patterns must be taken into account in this kind of study. The idea guiding our proposal may be put as follows: naturalized ontology checks for the applicability of the ontological categories proposed by traditional ontology and give substantial feedback for it. The adequate expression of some of the resulting ontological frameworks may require a different logic. We conclude with a discussion of the case of orthodox quantum mechanics, arguing that this theory exemplifies the kind of relationship between the two senses of ontology. We also argue that the view proposed here may throw some light in ontological questions concerning this theory. (shrink)

Ontic Structural Realism is a version of realism about science according to which by positing the existence of structures, understood as basic components of reality, one can resolve central difficulties faced by standard versions of scientific realism. Structures are invoked to respond to two important challenges: one posed by the pessimist meta-induction and the other by the underdetermination of metaphysics by physics, which arises in non-relativistic quantum mechanics. We argue that difficulties in the proper understanding of what a structure is (...) undermines the realist component of the view. Given the difficulties, either realism should be dropped or additional metaphysical components not fully endorsed by science should be incorporated. (shrink)

Valoración e investigación en el continuo de la experiencia. Desde el pragmatismo de John Dewey al debate sobre el ideal de ciencia libre de valores. Resumen de tesis de doctorado en Filosofía de Livio Mattarollo.

Quasi-set theory is a ZFU-like axiomatic set theory, which deals with two kinds of ur-elements: M-atoms, objects like the atoms of ZFU, and m-atoms, items for which the usual identity relation is not defined. One of the motivations to advance such a theory is to deal properly with collections of items like particles in non-relativistic quantum mechanics when these are understood as being non-individuals in the sense that they may be indistinguishable although identity does not apply to them. According to (...) some authors, this is the best way to understand quantum objects. The fact that identity is not defined for m-atoms raises a technical difficulty: it seems impossible to follow the usual procedures to define the cardinal of collections involving these items. In this paper we propose a definition of finite cardinals in quasi-set theory which works for collections involving m-atoms. (shrink)

This fascinating exploration of the great discoveries of history's most important mathematicians seeks an answer to the eternal question: Does mathematics hold the key to understanding the mysteries of the physical world?

The Weak Principle of the Identity of Indiscernibles (weak PII), states that numerically distinct items must be discernible by a symmetrical and irreflexive relation. Recently, some authors have proposed that weak PII holds in non relativistic quantum mechanics, contradicting a long tradition claiming PII to be simply false in that theory. The question that arises then is: are relations allowed in the scope of PII? In this paper, we propose that quantum mechanics does not help us in deciding matters concerning (...) that problem, since that is a metaphysical problem rather than a quantum mechanical one. We argue further that weak PII is unmotivated on metaphysical grounds. We examine three metaphysical theses (bundle theory, counting, empiricism) that may provide reasons for one to sustain PII, and we conclude that weak PII gets no independent motivation from them. (shrink)

We articulate a distinction between ontology, understood as involving existence questions, and metaphysics, understood as either providing for metaphysical profiles of entities or else as dealing with fundamentality and/or grounding and dependence questions. The distinction, we argue, allows a better understanding of the roles of metaontology and metametaphysics when it comes to discussing the relations between ontology and science on the one hand, and metaphysics and science on the other. We argue that while ontology, as understood in this paper, may (...) have reasonable perspectives for naturalization, given its relation to science, the same cannot be said for metaphysics, given that it is typically understood as an additional theoretical layer over science, not participating in the scientific investigation. That may result either in skepticism over metaphysics, or else on accepting that metaphysics is an autonomous branch of investigation, depending on one’s concern for metaphysics. (shrink)

Recently, in the debate about the ontology of quantum mechanics some authors have defended the view that quantum particles are individuals in a primitive sense, so that individuality should be preferred over non-individuality (the alternative option). Primitive individuality involves two main claims: (1) every item is identical with itself and (2) it is distinct from every other item. Non-relativistic quantum mechanics is said to provide positive evidence for that position, since in every situation comprising multiple particles there is a well-defined (...) number of them to begin with, and so they must be distinct from each other. We argue that the link between a well-defined number of items and the relation of identity that is being claimed to hold is not imposed by quantum mechanics, but rather by a metaphysical view. Formal evidence is advanced in favor of the thesis that counting may be performed for items without identity (non-individuals), so that quantum mechanics needs not be viewed as endorsing an ontology of individuals. (shrink)

In this work, we focus on a very specific case study: assuming that quantum theories deal with “particles” of some kind, what kind of entity can such particles be? One possible answer, the one we shall examine here, is that they are not the usual kind of object found in daily life: individuals. Rather, we follow a suggestion by Erwin Schrödinger, according to which quantum mechanics poses a revolutionary kind of entity: non-individuals. While physics, as a scientific field, is not (...) concerned with whether entities posited by a specific physical theory are individuals or not, answering this question is part of the quest for a better understanding of physical reality. Here lies, in large measure, the relevance of ontology. (shrink)

In this article, we discuss some of the challenges related to formulating and adopting a realist position regarding non-relativistic quantum mechanics. In a standard approach to ontology, the ontological commitments of scientific theories can be extracted from them. Scientific realism is the standpoint that our best scientific theories are approximately true, and thus, their ontological commitments, roughly speaking, correspond to reality. Quantum mechanics complicates this view by introducing an interpretational requirement that links a particular conception of how reality should be (...) to the theory. This generates comprehensive difficulties: when we separate theory and interpretation, we have a clear conception of theory but not of interpretation and how to extract its ontology. On the other hand, if we somehow identify theory and interpretation, we have a reasonably clear conception of the desired ontology but lose our best characterizations of theory, rendering our methods for extracting ontology ineffective. Our aim is to map out the challenges for future rigorous realist approaches to quantum mechanics. (shrink)

Scientific realism is typically associated with metaphysics. One current incarnation of such an association concerns the requirement of a metaphysical characterization of the entities one is being a realist about. This is sometimes called “Chakravartty’s Challenge”, and codifies the claim that without a metaphysical characterization, one does not have a clear picture of the realistic commitments one is engaged with. The required connection between metaphysics and science naturally raises the question of whether such a demand is appropriately fulfilled, and how (...) metaphysics engages with science in order to produce what is called “scientific metaphysics”. Here, we map some of the options available in the literature, generating a conceptual spectrum according to how each view approximates science and metaphysics. This is done with the purpose of enlightening the current debate on the possibility of epistemic warrant that science could grant to such a metaphysics, and how different positions differently address the thorny issue concerning such a warrant. (shrink)

Informally speaking, the Principle of Identity, one of the so-called “Laws of Logic”, grants us in one of its most well-known formulations that every object is identical to itself. Non-reflexive logics, roughly speaking, are systems of logic in which this principle is not valid in general. One of the problems associated with non-reflexive logics concerns quantification: it has been argued that quantification only makes sense if we presuppose the identity concept, and consequently, non-reflexive logics employing quantifiers presuppose some form of (...) the principle of identity we wanted to restrict in their formulation. In this paper we argue that it is possible to make sense of quantification in non-reflexive logics without presupposing identity. We argue both from a syntactical as well as from a semantical point of view. We close the paper with some reflections on natural language and its relation to non-reflexive logics. (shrink)

Nosso objetivo neste artigo é duplo. Primeiramente, desejamos expor uma versão de platonismo em filosofia da matemática defendida por Newton da Costa. A filosofia da matemática e da lógica de da Costa ainda é pouco conhecida, de modo que este artigo busca preencher parcialmente esta lacuna. Da Costa amplia o escopo do platonismo tradicional em filosofia da lógica e da matemática para todos os sistemas não-triviais, de modo a incorporar em seu realismo um pluralismo lógico e matemático. O resultado é (...) chamado de realismo multivalente. Em segundo lugar, proporemos uma lista de problemas que a versão de platonismo aqui apresentada deverá enfrentar. Focamos em dificuldades específicas da versão multivalente de platonismo, evidenciando que se trata de concepção interessante e merecedora de mais estudos. (shrink)

Após apresentar, em linhas gerais, a abordagem dos modelos causais em história da ciência, define-se a noção de “avanço” como uma manifestação cultural de natureza cognitiva ou, na linguagem da biologia evolutiva, como um “meme” cognitivo. Discute-se até que ponto tais avanços podem ser considerados verdadeiras “unidades”, e discorre-se sobre a noção problemática de “unidades que se conservariam na passagem de uma história possível para outra”. Comentários são feitos sobre a distinção entre a definição de um avanço e seu grau (...) de aceitação e, por fim, sobre a plausibilidade de considerar que (em primeira aproximação) o significado de um avanço não se modifica com a evolução da ciência. No apêndice, descreve-se a classificação de avanços em sessenta tipos, distribuídos em dez classes. Palavras-chave: Mudança científica, história da ciência, modelos causais, unidade de conhecimento, avanço, meme. (shrink)

The present paper argues that the teachings of Anaximander are much better knowable than they actually appear, since a number of his teachings have the privilege of being almost transparent in their predicative content as well as in their logic. As a matter of fact, one can quite easily come to understand the train of thought which lies behind Anaximander’s most momentous conjectures. Thus, a largely unexpected Anaximander comes to light despite the availability of the majority of the relevant sources (...) since 1903. Two main areas appear to be particularly prominent: on the one hand, the complex body of various conjectures and doctrines that helps to understand the system of spatial relationships from Miletus to the stars and, on the other hand, the equally complex body of conjectures and doctrines whose primarily concern is the macro-story of the Earth from its most remote past to its predictable future. The merits of Anaximander as an earth-researcher are much greater than one could actually imagine. It is suggested here that what philosophy owes to him in particular lies in his quest for knowledge, his method, his cognitive hybris, and his intellectual discipline, rather than individual doctrines. A comparison with Thales follows in the last paragraph. (shrink)

Nonrelativistic quantum mechanics (QM) works perfectly well for all practical purposes. Once one admits, however, that a successful scientific theory is supposed not only to make predictions but also to tell us a story about the world in which we live, a philosophical problem emerges: in the specific case of QM, it is not possible to associate with the theory a unique scientific image of the world; there are several images. The fact that the theory may be compatible with distinct (...) ontologies, and that those ontologies may themselves be associated with a plurality of metaphysical approaches, gives rise to the problem of metaphysical underdetermination. This paper concludes that the available metametaphysical criteria fail to deliver objectivity in theory choice, and it puts forward its own criterion based on a tension between two methods of metaphysical inquiry: one that is closely related to science and another that is not. (shrink)

We discuss the idea that superpositions in quantum mechanics may involve contradictions or contradictory properties. A state of superposition such as the one comprised in the famous Schrödinger’s cat, for instance, is sometimes said to attribute contradictory properties to the cat: being dead and alive at the same time. If that were the case, we would be facing a revolution in logic and science, since we would have one of our greatest scientific achievements showing that real contradictions exist.We analyze that (...) claim by employing the traditional square of opposition.We suggest that it is difficult to make sense of the idea of contradiction in the case of quantum superpositions. From a metaphysical point of view the suggestion also faces obstacles, and we present some of them. (shrink)

Quasi-truth (a.k.a. pragmatic truth or partial truth) is typically advanced as a framework accounting for incompleteness and uncertainty in the actual practices of science. Also, it is said to be useful for accommodating cases of inconsistency in science without leading to triviality. In this paper, we argue that the formalism available does not deliver all that is promised. We examine the standard account of quasi-truth in the literature, advanced by da Costa and collaborators in many places, and argue that it (...) cannot legitimately account for incompleteness in science. We shall claim that it conflates paraconsistency and paracompleteness. It also cannot properly account for inconsistencies, because no direct contradiction of the form S ∧ ¬S can be quasi-true according to the framework; contradictions simply have no place in the formalism. Finally, we advance an alternative interpretation of the formalism in terms of dealing with distinct contexts where incompatible information is dealt with. This does not save the original program, but seems to make better sense of the apparatus. (shrink)

Several authors proposed to devise logical structures for Natural Language (NL) semantics in which noun phrases yield referential terms rather than standard Generalized Quantifiers. In this view, two main problems arise: the need to refer to the maximal sets of entities involved in the predications and the need to cope with Independent Set (IS) readings, where two or more sets of entities are introduced in parallel. The article illustrates these problems and their consequences, then presents an extension of the proposal (...) made in Sher (J Philos Logic 26:1–43, 1997 ) in order to properly represent the meaning of IS readings involving NL quantifiers. The solution proposed here allows to uniformly deal with both standard linear and IS readings, regardless of their actual existence in NL or quantifiers’ monotonicity. Sentences featuring nested quantifications are particularly problematic. By avoiding parallel nested quantification in the formulae, the proper true values are achieved. (shrink)

Following J.-Y.Béziau in his pioneer work on non-standard interpretations of the traditional square of opposition, we have applied the abstract structure of the square to study the relation of opposition between states in superposition in orthodox quantum mechanics in [1]. Our conclusion was that such states are contraries, contradicting previous analyzes that have led to different results, such as those claiming that those states represent contradictory properties. In this chapter we bring the issue once again into the center of the (...) stage, but now discussing the metaphysical presuppositions which underlie each kind of analysis and which lead to each kind of result, discussing in particular the idea that superpositions represent potential contradictions. We shall argue that the analysis according to which states in superposition are contrary rather than contradictory is still more plausible. (shrink)