Nobel Laureate Eugene Wigner once wondered about "the unreasonable effectiveness of mathematics" in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that -- mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, (...) but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is "a product of human thought that is independent of experience," how can it so accurately describe and even predict the world around us? Mathematicians themselves often insist that their work has no practical effect. The British mathematician G. H. Hardy went so far as to describe his own work this way: "No discovery of mine has made, or is likely to make, directly or indirectly, for good or ill, the least difference to the amenity of the world." He was wrong. The Hardy-Weinberg law allows population geneticists to predict how genes are transmitted from one generation to the next, and Hardy's work on the theory of numbers found unexpected implications in the development of codes. Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them. (shrink)
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)
This article proposes a new logical framework for NL quantification. The framework is based on Generalized Quantifiers, Skolem-like functional dependencies, and Maximality of the involved sets of entities. Among the readings available for NL sentences, those where two or more sets of entities are independent of one another are particularly challenging. In the literature, examples of those readings are known as Collective and Cumulative readings. This article briefly analyzes previous approaches to Cumulativity and Collectivity, and indicates (Schwarzschild in Pluralities. Kluwer, (...) Dordrecht, 1996) as the best proposal so far to deal with these readings. Then, it incorporates its insights in the logical framework defined in Robaldo (J Philos Log 39(1):23–58, 2009a), leading to a scalable logical account for NL quantification. (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)
Estudo comparativo entre a Tarpeia de Tito Lívio e a de Propércio, duas formas de narrativas, dois discursos literários que apresentam suas versões do fato lendário dos primórdios de Roma. Cada um dentro da proposta de seus gêneros literários.
The DAPRECO knowledge base is the main outcome of the interdisciplinary project bearing the same name. It is a repository of rules written in LegalRuleML, an XML formalism designed to be a standard for representing the semantic and logical content of legal documents. The rules represent the provisions of the General Data Protection Regulation, the new Regulation that is significantly affecting the digital market in the European Union and beyond. The DAPRECO knowledge base builds upon the Privacy Ontology, which provides (...) a model for the legal concepts involved in the GDPR, by adding a further layer of constraints in the form of if-then rules, referring either to standard first order logic implications or to deontic statements. If-then rules are formalized in reified Input/Output logic and then codified in LegalRuleML. Reified Input/Output logic is an application of standard Input/Output logic for legal reasoning, in which Input/Output logic is combined with the reification-based approach in Hobbs and Gordon. The DAPRECO knowledge base is then a case study for reified Input/Output logic, and it shows that the formalism indeed appears to be a good candidate to effectively formalize, via uniform and simple representations, complex linguistic/deontic phenomena that may be found in legal texts. To date, the DAPRECO knowledge base is the biggest knowledge base in LegalRuleML and Input/Output logic freely available online. (shrink)
O projeto de John Dewey sobre a filosofia social não tem sido considerado como uma peça importante de seu pensamento. Entretanto, seus textos sobre esse tópico constituem um notável esforço para articular diversos novos conceitos e ideias, os quais não podem ser encontrados em outra parte de sua extensa obra filosófica. Inserida nesse contexto, a nova edição de suas “Palestras em filosofia política e social” – série de palestras que Dewey apresentou quando esteve na China – fornece um material único (...) para revisar seu ponto de vista social. Levando-se em consideração que o pragmatista introduz uma “figura normativa” e que ele identifica um conjunto de necessidades humanas básicas de maneira a compreender plenamente esse critério normativo. Como hipótese, considero que a filosofia social está principalmente associada com juízos práticos e que é plausível interpretar essas necessidades humanas básicas como valores. Para sustentar essas afirmações, primeiro, reconstruo a proposta de Dewey sobre um terceiro tipo de pensamento social. Segundo, examino sua posição sobre valores e normas. Terceiro, analiso a “figura normativa” e considero a “leitura antropológica” apresentada por Roberto Frega. Por fim, ofereço uma análise complementar, argumentando que é possível explicar o padrão normativo de Dewey de maneira coerente com respeito aos propósitos do seu pensamento social – e, além disso, que é possível evitar qualquer compromisso essencialista. (shrink)
En el contexto del debate contemporáneo sobre el ideal de ciencia libre de valores, el propósito general del artículo es recuperar la pregunta por la dimensión valorativa tradicionalmente denominada extra-epistémica de la investigación científica desde el marco teórico del filósofo pragmatista John Dewey. Mediante la reconstrucción de distintos sentidos de continuidad entre investigación científica, valoración y valores, se pretende sostener que el enfoque deweyano da cuenta de la efectiva incidencia de valores sociales, morales y políticos en la investigación, y que (...) bajo ciertas condiciones esa incidencia es legítima pues la consideración del amplio círculo de consecuencias no-científicas de la investigación es parte de su prueba completa, razón por la cual se afirma que dicho tipo de valores son constitutivos de la investigación científica. Finalmente, se sugiere que la perspectiva de Dewey ofrece bases sólidas para una filosofía política de la ciencia. ARK: ark:/s18537960/kiuut6ebr. (shrink)
Natural language sentences that talk about two or more sets of entities can be assigned various readings. The ones in which the sets are independent of one another are particularly challenging from the formal point of view. In this paper we will call them ‘Independent Set (IS) readings’. Cumulative and collective readings are paradigmatic examples of IS readings. Most approaches aiming at representing the meaning of IS readings implement some kind of maximality conditions on the witness sets involved. Two kinds (...) of maximization have been proposed in the literature: ‘Local’ and ‘Global’ maximization. In this paper, we present an online questionnaire whose results appear to support Local maximization. The latter seems to capture the proper interplay between the semantics and the pragmatics of multi-quantifier sentences, provided that witness sets are selected on pragmatic grounds. (shrink)
Resumen: Esta nota crítica analiza la perspectiva que Martha Nussbaum presenta sobre la emoción de la ira en su último libro Anger and Forgiveness. Resentment, Generosity, Justice. Para ello sitúo esta obra en el contexto del proyecto filosófico de la autora y señalo algunos cambios y continuidades en su análisis de la ira; después reviso a la luz de este nuevo libro algunas de las críticas que, centradas en la reivindicación de la ira, ha recibido su propuesta de una cultura (...) política centrada en las emociones “humanizadoras”.: This critical note examines Martha Nussbaum’s perspective on anger presented in her last book Anger and Forgiveness. Resentment, Generosity, Justice. I place this book in the context of Nussbaum’s philosophical project in order to trace changes and continuities in her views on anger, and then I examine some criticisms that have been held against her proposal of a political culture based on humanizing emotions based on the vindication of anger. (shrink)
Within the context of the discussion about value-free science ideal, Heather Douglas claims that in several cases non-epistemic values are needed for good reasoning in science. In this article I aim at recovering her viewpoint in order to examine the research driving to the Genetic Grandparent Inclusion-Probability Index, a crucial element to restitute the identity of children who were abducted during Argentinean dictatorship. Thus, my purposes are to reconstruct Douglas´ main theoretical contributions, specifically her reasons to reject the ideal as (...) well as the distinction between direct and indirect roles for values in science; and to analyze the scientific paper resulting from the “Grandparent-Inclusion Index” research. The main hypothesis is that several decisions of this research, particularly the establishment of what is to be considered sufficient evidence, should be explained by reference to social, ethical and political values. Both because of the non-epistemic consequences of the inquiry related to its inductive risk and because such inquiry is a case in which there is legitimate and necessary integration between epistemic and non-epistemic values and that it is also a case in which Douglas’ criteria of objectivity is reached. By virtue of these reasons, the significance of Douglas’ contribution to the analysis of the relationship between science and politics is emphasized. (shrink)
Algunos autores han sostenido que es posible que en el pasaje de la mano invisible, en La teoría de los sentimientos morales, Smith esté contestando a Rousseau. Esta hipótesis se basa en una fraseología similar que usan tanto Smith como Rousseau en el Discurso sobre el origen de la desigualdad. En esta nota se mostrará que es posible realizar una distinción importante con relación al período histórico que Smith está analizando en el pasaje de la mano invisible de TSM IV: (...) 10 y el que Rousseau está analizando en el Discurso sobre el origen de la desigualdad, a pesar de la fraseología similar con relación a las rudas selvas de la naturaleza. Some authors have contended that it is possible that Smith is answering Rousseau in The Theory of Moral Sentiments. This hypothesis is based on a similar phraseology used both by Smith and by Rousseau in the Discourse on the Origin of Inequality. In this note, a clear distinction will be made. In the aforementioned works, Rousseau and Smith refer to different periods of time, in spite of the similar phraseology used in relation to "the rude forests of nature". (shrink)
Within the context of the discussion about value-free science ideal, Heather Douglas claims that in several cases non-epistemic values are needed for good reasoning in science. In this article I aim at recovering her viewpoint in order to examine the research driving to the Genetic Grandparent Inclusion-Probability Index, a crucial element to restitute the identity of children who were abducted during Argentinean dictatorship. Thus, my purposes are to reconstruct Douglas´ main theoretical contributions, specifically her reasons to reject the ideal as (...) well as the distinction between direct and indirect roles for values in science; and to analyze the scientific paper resulting from the “Grandparent-Inclusion Index” research. The main hypothesis is that several decisions of this research, particularly the establishment of what is to be considered sufficient evidence, should be explained by reference to social, ethical and political values. Both because of the non-epistemic consequences of the inquiry related to its inductive risk and because such inquiry is a case in which there is legitimate and necessary integration between epistemic and non-epistemic values and that it is also a case in which Douglas’ criteria of objectivity is reached. By virtue of these reasons, the significance of Douglas’ contribution to the analysis of the relationship between science and politics is emphasized. (shrink)
