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What is Mathematical Truth?

In Philosophical Papers: Volume 1, Mathematics, Matter and Method. New York: Cambridge University Press. pp. 60--78 (1979)

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  1. Le si-alors-sinon, est-il toujours une option?Matija Arko - 2006 - Synthesis Philosophica 21 (1):95-101.
    Je parlerai dans cet article du si-alors-sinon comme d’une stratégie de nos obligations ontologiques dans les mathématiques. Je commencerai par la définition du si-alors-sinon dans les Principia mathematica. Ensuite, je discuterai la critique du si-alors-sinon par Putnam. Suivront certains arguments de Ciana Dorra qui l’appuient. Finalement, il sera question de la « parcimonie » ontologique en tant que motif d’adoption du si-alors-sinon. Je traiterai de la parcimonie ontologique en liaison avec le naturalisme en essayant de démontrer que la parcimonie ontologique (...)
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  • Robustness, evidence, and uncertainty: an exploration of policy applications of robustness analysis.Nicolas Wüthrich - unknown
    Policy-makers face an uncertain world. One way of getting a handle on decision-making in such an environment is to rely on evidence. Despite the recent increase in post-fact figures in politics, evidence-based policymaking takes centre stage in policy-setting institutions. Often, however, policy-makers face large volumes of evidence from different sources. Robustness analysis can, prima facie, handle this evidential diversity. Roughly, a hypothesis is supported by robust evidence if the different evidential sources are in agreement. In this thesis, I strengthen the (...)
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  • The Pessimistic Induction and the Golden Rule.Seungbae Park - 2018 - Problemos 93:70-80.
    Nickles (2017) advocates scientific antirealism by appealing to the pessimistic induction over scientific theories, the illusion hypothesis (Quoidbach, Gilbert, and Wilson, 2013), and Darwin’s evolutionary theory. He rejects Putnam’s (1975: 73) no-miracles argument on the grounds that it uses inference to the best explanation. I object that both the illusion hypothesis and evolutionary theory clash with the pessimistic induction and with his negative attitude towards inference to the best explanation. I also argue that Nickles’s positive philosophical theories are subject to (...)
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  • Critiques of Minimal Realism.Seungbae Park - 2017 - Problemos 92:102-114.
    Saatsi’s minimal realism holds that science makes theoretical progress. It is designed to get around the pessimistic induction, to fall between scientific realism and instrumentalism, and to explain the success of scientific theories. I raise the following two objections to it. First, it is not clear whether minimal realism lies between realism and instrumentalism, given that minimal realism does not entail instrumentalism. Second, it is not clear whether minimal realism can explain the success of scientific theories, given that it is (...)
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  • On the philosophical relevance of Gödel's incompleteness theorems.Panu Raatikainen - 2005 - Revue Internationale de Philosophie 59 (4):513-534.
    A survey of more philosophical applications of Gödel's incompleteness results.
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  • Samostalnost znanosti o živome.Tonći Kokić - 2010 - Filozofska Istrazivanja 30 (1-2):211-229.
    Proturječnost stavova o položaju biologije unutar ili izvan područja znanosti može se podijeliti na nekoliko osnovnih pristupa. Prvi pristup smješta biologiju izvan znanstvenog područja zbog nedostatka univerzalnosti, nedostatka strogih generalizacija i nedostatka stroge kvantitativne strukture. Drugi pristup smatra biologiju znanošću koju treba svesti na fiziku. Treći pristup vidi značajne razlike između biologije s jedne, i fizike i kemije s druge strane, ali ipak tvrdi da je biologija prava znanost, no samostalna i s vlastitim pojmovnikom i metodologijom. Poredba načela prirodne znanosti (...)
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  • Główne koncepcje i kierunki filozofii matematyki XX wieku.Roman Murawski - 2003 - Zagadnienia Filozoficzne W Nauce 33.
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  • Scientific phenomena and patterns in data.Pascal Ströing - 2018 - Dissertation, Lmu München
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  • Hilary Putnam on the philosophy of logic and mathematics.José Miguel Sagüillo - 2018 - Theoria : An International Journal for Theory, History and Fundations of Science 33 (2):183-200.
    I discuss Putnam’s conception of logical truth as grounded in his picture of mathematical practice and ontology. i begin by comparing Putnam’s 1971 Philosophy of Logic with Quine’s homonymous book. Next, Putnam’s changing views on modality are surveyed, moving from the modal pre-formal to the de-modalized formal characterization of logical validity. Section three suggests a complementary view of Platonism and modalism underlying different stages of a dynamic mathematical practice. The final section argues for the pervasive platonistic conception of the working (...)
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  • Algunas consideraciones sobre el argumento de indispensabilidad en matemáticas.Antonio Caba Sánchez - 2002 - Revista de Filosofía (Madrid) 27 (1):111-133.
    La tesis de indispensabilidad se toma habitualmente como un argumento (posiblemente el mejor) para defender el realismo matemático. La propuesta se asocia con Quine y Putnam, y establece que, en tanto en cuanto las entidades matemáticas se muestran indispensables para nuestras mejores teorías físicas, comparten el estatus ontológico de las entidades científicas. Pese a que el argumento ha sufrido ataques desde prácticamente todas las direcciones, algunos autores continúan tratando de defenderlo. En este artículo se analizan de manera especial las críticas (...)
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  • Cartwright on wholism.Michael Esfeld - unknown
    This paper proposes a critical examination of the wholism that Cartwright contemplates. The first part spells out the consequences of this position – notably our principled ignorance of nature as a whole. The second part considers that physical theory which is widely claimed to exhibit some sort of wholism, namely quantum physics. I sketch a wholistic model of quantum physics and compare this model to the wholism that Cartwright considers. The result is that – contrary to what Cartwright suggests – (...)
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  • Deductive Pluralism.John M. Hosack - unknown
    This paper proposes an approach to the philosophy of mathematics, deductive pluralism, that is designed to satisfy the criteria of inclusiveness of and consistency with mathematical practice. Deductive pluralism views mathematical statements as assertions that a result follows from logical and mathematical foundations and that there are a variety of incompatible foundations such as standard foundations, constructive foundations, or univalent foundations. The advantages of this philosophy include the elimination of ontological problems, epistemological clarity, and objectivity. Possible objections and relations with (...)
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  • On the Role of Mathematics in Scientific Representation.Saad Anis - unknown
    In this dissertation, I consider from a philosophical perspective three related questions concerning the contribution of mathematics to scientific representation. In answering these questions, I propose and defend Carnapian frameworks for examination into the nature and role of mathematics in science. The first research question concerns the varied ways in which mathematics contributes to scientific representation. In response, I consider in Chapter 2 two recent philosophical proposals claiming to account for the explanatory role of mathematics in science, by Philip Kitcher, (...)
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  • Modal Truth : Integrating the Metaphysics, Epistemology, and Semantics of the Necessary and the Possible.Lars Enden - 2016 - Dissertation, University of Washington
    The integration challenge for modality states that metaphysical theories of modality tend to fail in one of two ways: either they render the meanings of modal sentences mysterious, or they render modal knowledge mysterious. I argue that there are specific semantic and epistemic constraints on metaphysics implied by the integration challenge and that a plausible metaphysical theory of modality will satisfy both of them. I further argue that no popular metaphysical theory of modality simultaneously satisfies both of the constraints. Therefore, (...)
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  • Scientific Antirealists Have Set Fire to Their Own Houses.Seungbae Park - 2017 - Prolegomena 16 (1):23-37.
    Scientific antirealists run the argument from underconsideration against scientific realism. I argue that the argument from underconsideration backfires on antirealists’ positive philosophical theories, such as the contextual theory of explanation (van Fraassen, 1980), the English model of rationality (van Fraassen, 1989), the evolutionary explanation of the success of science (Wray, 2008; 2012), and explanatory idealism (Khalifa, 2013). Antirealists strengthen the argument from underconsideration with the pessimistic induction against current scientific theories. In response, I construct a pessimistic induction against antirealists that (...)
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  • Has logic any ontology?Mirko Jakic - 2002 - Synthesis Philosophica 17 (1):211-223.
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  • Retention Myths vs. Well-Managed Resources: Promises and Failings of Structural Realism (2014).Jean-Michel Delhotel - 2014
    Turning away from entities and focusing instead exclusively on ‘structural’ aspects of scientific theories has been advocated as a cogent response to objections levelled at realist conceptions of the aim and success of science. Physical theories whose (predictive) past successes are genuine would, in particular, share with their successors structural traits that would ultimately latch on to ‘structural’ features of the natural world. Motives for subscribing to Structural Realism are reviewed and discussed. It is argued that structural retention claims lose (...)
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  • The No Miracles Argument without Scientific Realism.Richard Dawid - unknown
    According to the no miracles argument, scientific realism provides the only satisfactory explanation of the predictive success of science. It is argued in the present article that a different explanatory strategy, based on the posit of strong limitations to the underdetermination of scientific theory building by the available empirical data, offers a more convincing understanding of scientific success.
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  • Ist der Wenn-Dann-Ismus immer noch eine Option?Matija Arko - 2006 - Synthesis Philosophica 21 (1):95-101.
    Im Folgenden werde ich über den Wenn-Dann-Ismus als Strategie zur Verringerung unserer ontologischen Verpflichtungen in der Mathematik sprechen. Ich beginne mit der Definition des Wenn-Dann-Ismus in Principles of Matemathics. Danach setze ich mich mit Puntnams Kritik des Wenn-Dann-Ismus auseinander. Es folgen einige Argumente von Cian Dorr, die diese Kritik unterstützen. Zuletzt soll von der ontologischen Sparsamkeit als allgemeinem Motiv für die Aneignung des Wenn-Dann-Ismus die Rede sein. Ich werde von der ontologischen Sparsamkeit in Zusammenhang mit dem Naturalismus sprechen und zugunsten (...)
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  • Berkeley e o papel das hipóteses na filosofia natural.Silvio Seno Chibeni - 2010 - Scientiae Studia 8 (3):389-419.
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  • The face of perception.Charles S. Travis - 2005 - In Hilary Putnam (Contemporary Philosophy in Focus). Cambridge: Cambridge University Press.
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