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Approximate truth and truthlikeness

In M. Przełecki, K. Szaniawski & R. W’Ojcicki (eds.), Formal Methods in the Methodology of the Empirical Sciences. Reidel. pp. 19--42 (1976)

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  1. Revising Beliefs Towards the Truth.Ilkka Niiniluoto - 2011 - Erkenntnis 75 (2):165-181.
    Belief revision (BR) and truthlikeness (TL) emerged independently as two research programmes in formal methodology in the 1970s. A natural way of connecting BR and TL is to ask under what conditions the revision of a belief system by new input information leads the system towards the truth. It turns out that, for the AGM model of belief revision, the only safe case is the expansion of true beliefs by true input, but this is not very interesting or realistic as (...)
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  • Inter-model connectives and substructural logics.Igor Sedlár - 2014 - In Roberto Ciuni, Heinrich Wansing & Caroline Willkommen (eds.), Recent Trends in Philosophical Logic (Proceedings of Trends in Logic XI). Cham, Switzerland: Springer. pp. 195-209.
    The paper provides an alternative interpretation of ‘pair points’, discussed in Beall et al., "On the ternary relation and conditionality", J. of Philosophical Logic 41(3), 595-612. Pair points are seen as points viewed from two different ‘perspectives’ and the latter are explicated in terms of two independent valuations. The interpretation is developed into a semantics using pairs of Kripke models (‘pair models’). It is demonstrated that, if certain conditions are fulfilled, pair models are validity-preserving copies of positive substructural models. This (...)
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  • An impossibility theorem for verisimilitude.Sjoerd Zwart & Maarten Franssen - 2007 - Synthese 158 (1):75-92.
    In this paper, we show that Arrow’s well-known impossibility theorem is instrumental in bringing the ongoing discussion about verisimilitude to a more general level of abstraction. After some preparatory technical steps, we show that Arrow’s requirements for voting procedures in social choice are also natural desiderata for a general verisimilitude definition that places content and likeness considerations on the same footing. Our main result states that no qualitative unifying procedure of a functional form can simultaneously satisfy the requirements of Unanimity, (...)
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  • New Semantics for Bayesian Inference: The Interpretive Problem and Its Solutions.Olav Benjamin Vassend - 2019 - Philosophy of Science 86 (4):696-718.
    Scientists often study hypotheses that they know to be false. This creates an interpretive problem for Bayesians because the probability assigned to a hypothesis is typically interpreted as the probability that the hypothesis is true. I argue that solving the interpretive problem requires coming up with a new semantics for Bayesian inference. I present and contrast two new semantic frameworks, and I argue that both of them support the claim that there is pervasive pragmatic encroachment on whether a given Bayesian (...)
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  • Approximate truth and dynamical theories.Peter Smith - 1998 - British Journal for the Philosophy of Science 49 (2):253-277.
    Arguably, there is no substantial, general answer to the question of what makes for the approximate truth of theories. But in one class of cases, the issue seems simply resolved. A wide class of applied dynamical theories can be treated as two-component theories—one component specifying a certain kind of abstract geometrical structure, the other giving empirical application to this structure by claiming that it replicates, subject to arbitrary scaling for units etc., the geometric structure to be found in some real-world (...)
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  • Approximate Truth, Quasi-Factivity, and Evidence.Michael J. Shaffer - 2015 - Acta Analytica 30 (3):249-266.
    The main question addressed in this paper is whether some false sentences can constitute evidence for the truth of other propositions. In this paper it is argued that there are good reasons to suspect that at least some false propositions can constitute evidence for the truth of certain other contingent propositions. The paper also introduces a novel condition concerning propositions that constitute evidence that explains a ubiquitous evidential practice and it contains a defense of a particular condition concerning the possession (...)
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  • Verisimilitude and Belief Revision. With a Focus on the Relevant Element Account.Gerhard Schurz - 2011 - Erkenntnis 75 (2):203-221.
    The expansion or revision of false theories by true evidence does not always increase their verisimilitude. After a comparison of different notions of verisimilitude the relation between verisimilitude and belief expansion or revision is investigated within the framework of the relevant element account. We are able to find certain interesting conditions under which both the expansion and the revision of theories by true evidence is guaranteed to increase their verisimilitude.
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  • Twelve great papers: comments and replies. Response to a special issue on logical perspectives on science and cognition—The philosophy of Gerhard Schurz.Gerhard Schurz - 2020 - Synthese 197 (4):1661-1695.
    This is a response to the papers in the special issue Logical Perspectives on Science and Cognition—The Philosophy of Gerhard Schurz.
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  • Probabilistic truthlikeness, content elements, and meta-inductive probability optimization.Gerhard Schurz - 2021 - Synthese 199 (3-4):6009-6037.
    The paper starts with the distinction between conjunction-of-parts accounts and disjunction-of-possibilities accounts to truthlikeness. In Sect. 3, three distinctions between kinds of truthlikeness measures are introduced: comparative versus numeric t-measures, t-measures for qualitative versus quantitative theories, and t-measures for deterministic versus probabilistic truth. These three kinds of truthlikeness are explicated and developed within a version of conjunctive part accounts based on content elements. The focus lies on measures of probabilistic truthlikeness, that are divided into t-measures for statistical probabilities and single (...)
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  • Non-metric Propositional Similarity.A. C. Paseau - 2022 - Erkenntnis 87 (5):2307-2328.
    The idea that sentences can be closer or further apart in meaning is highly intuitive. Not only that, it is also a pillar of logic, semantic theory and the philosophy of science, and follows from other commitments about similarity. The present paper proposes a novel way of comparing the ‘distance’ between two pairs of propositions. We define ‘\ is closer in meaning to \ than \ is to \’ and thereby give a precise account of comparative propositional similarity facts. Notably, (...)
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  • Verisimilitude based on concept analysis.Ewa Orłowska - 1990 - Studia Logica 49 (3):307 - 320.
    In the paper ordering relations for comparison of verisimilitude of theories are introduced and discussed. The relations refer to semantic analysis of the results of theories, in particular to analysis of concepts the theories deal with.
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  • What Accuracy Could Not Be.Graham Oddie - 2019 - British Journal for the Philosophy of Science 70 (2):551-580.
    Two different programmes are in the business of explicating accuracy—the truthlikeness programme and the epistemic utility programme. Both assume that truth is the goal of inquiry, and that among inquiries that fall short of realizing the goal some get closer to it than others. Truthlikeness theorists have been searching for an account of the accuracy of propositions. Epistemic utility theorists have been searching for an account of the accuracy of credal states. Both assume we can make cognitive progress in an (...)
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  • The content, consequence and likeness approaches to verisimilitude: compatibility, trivialization, and underdetermination.Graham Oddie - 2013 - Synthese 190 (9):1647-1687.
    Theories of verisimilitude have routinely been classified into two rival camps—the content approach and the likeness approach—and these appear to be motivated by very different sets of data and principles. The question thus naturally arises as to whether these approaches can be fruitfully combined. Recently Zwart and Franssen (Synthese 158(1):75–92, 2007) have offered precise analyses of the content and likeness approaches, and shown that given these analyses any attempt to meld content and likeness orderings violates some basic desiderata. Unfortunately their (...)
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  • Verisimilitude by power relations.Graham Oddie - 1990 - British Journal for the Philosophy of Science 41 (1):129-135.
    A number of different theories of truthlikeness have been proposed, but most can be classified into one of two different main programmes: the probability-content programme and the likeness programme.1 In Brink and Heidema [1987] we are offered a further proposal, with the attraction of some novelty. I argue that while the heuristic path taken by the authors is rather remote from what they call ‘the well-worn paths’,2 in fact their point of arrival is rather closer to existing proposals within the (...)
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  • Verisimilitude: a causal approach.Robert Northcott - 2013 - Synthese 190 (9):1471-1488.
    I present a new definition of verisimilitude, framed in terms of causes. Roughly speaking, according to it a scientific model is approximately true if it captures accurately the strengths of the causes present in any given situation. Against much of the literature, I argue that any satisfactory account of verisimilitude must inevitably restrict its judgments to context-specific models rather than general theories. We may still endorse—and only need—a relativized notion of scientific progress, understood now not as global advance but rather (...)
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  • Survey article. Verisimilitude: the third period.Ilkka Niiniluoto - 1998 - British Journal for the Philosophy of Science 49 (1):1-29.
    The modern history of verisimilitude can be divided into three periods. The first began in 1960, when Karl Popper proposed his qualitative definition of what it is for one theory to be more truthlike than another theory, and lasted until 1974, when David Miller and Pavel Trichý published their refutation of Popper's definition. The second period started immediately with the attempt to explicate truthlikeness by means of relations of similarity or resemblance between states of affairs (or their linguistic representations); the (...)
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  • Truthlikeness: old and new debates.Ilkka Niiniluoto - 1990 - Synthese 84 (1):139-152.
    The notion of truthlikeness or verisimilitude has been a topic of intensive discussion ever since the definition proposed by Karl Popper was refuted in 1974. This paper gives an analysis of old and new debates about this notion. There is a fairly large agreement about the truthlikeness ordering of conjunctive theories, but the main rival approaches differ especially about false disjunctive theories. Continuing the debate between Niiniluoto’s min-sum measure and Schurz’s relevant consequence measure, the paper also gives a critical assessment (...)
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  • Truthlikeness: old and new debates.Ilkka Niiniluoto - 2020 - Synthese 197 (4):1581-1599.
    The notion of truthlikeness or verisimilitude has been a topic of intensive discussion ever since the definition proposed by Karl Popper was refuted in 1974. This paper gives an analysis of old and new debates about this notion. There is a fairly large agreement about the truthlikeness ordering of conjunctive theories, but the main rival approaches differ especially about false disjunctive theories. Continuing the debate between Niiniluoto’s min-sum measure and Schurz’s relevant consequence measure, the paper also gives a critical assessment (...)
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  • Approaching probabilistic laws.Ilkka Niiniluoto - 2021 - Synthese 199 (3-4):10499-10519.
    In the general problem of verisimilitude, we try to define the distance of a statement from a target, which is an informative truth about some domain of investigation. For example, the target can be a state description, a structure description, or a constituent of a first-order language. In the problem of legisimilitude, the target is a deterministic or universal law, which can be expressed by a nomic constituent or a quantitative function involving the operators of physical necessity and possibility. The (...)
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  • Studies in paraconsistent logic I: The dialectical principle of the unity of opposites.Newton C. A. Costa & Robert G. Wolf - 1980 - Philosophia 9 (2):189-217.
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  • Relevance and verisimilitude.Chris Mortensen - 1983 - Synthese 55 (3):353-364.
    Popper's definition looked initially promising provided that the restriction of classical logic was removed. As we have seen, this promise is not fulfilled. The search for a satisfactory verisimilitude ordering must therefore be pursued along more mainstream lines. The present exercise ought, however, to make us aware of the possibility that breakdowns of proposed definitions might only occur because of strictly classical assumptions.
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  • The distance between constituents.David Miller - 1978 - Synthese 38 (2):197 - 212.
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  • Laws and models in a theory of idealization.Chuang Liu - 2004 - Synthese 138 (3):363 - 385.
    I first give a brief summary of a critique of the traditional theories of approximation and idealization; and after identifying one of the major roles of idealization as detaching component processes or systems from their joints, a detailed analysis is given of idealized laws – which are discoverable and/or applicable – in such processes and systems (i.e., idealized model systems). Then, I argue that dispositional properties should be regarded as admissible properties for laws and that such an inclusion supplies the (...)
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  • Infinite idealization and contextual realism.Chuang Liu - 2018 - Synthese:1-34.
    The paper discusses the recent literature on abstraction/idealization in connection with the “paradox of infinite idealization.” We use the case of taking thermodynamics limit in dealing with the phenomena of phase transition and critical phenomena to broach the subject. We then argue that the method of infinite idealization is widely used in the practice of science, and not all uses of the method are the same. We then confront the compatibility problem of infinite idealization with scientific realism. We propose and (...)
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  • Infinite idealization and contextual realism.Chuang Liu - 2019 - Synthese 196 (5):1885-1918.
    The paper discusses the recent literature on abstraction/idealization in connection with the “paradox of infinite idealization.” We use the case of taking thermodynamics limit in dealing with the phenomena of phase transition and critical phenomena to broach the subject. We then argue that the method of infinite idealization is widely used in the practice of science, and not all uses of the method are the same. We then confront the compatibility problem of infinite idealization with scientific realism. We propose and (...)
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  • Approximations, idealizations, and models in statistical mechanics.Chuang Liu - 2004 - Erkenntnis 60 (2):235-263.
    In this paper, a criticism of the traditional theories of approximation and idealization is given as a summary of previous works. After identifying the real purpose and measure of idealization in the practice of science, it is argued that the best way to characterize idealization is not to formulate a logical model – something analogous to Hempel's D-N model for explanation – but to study its different guises in the praxis of science. A case study of it is then made (...)
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  • Approximation, idealization, and laws of nature.Chang Liu - 1999 - Synthese 118 (2):229-256.
    Traditional theories construe approximate truth or truthlikeness as a measure of closeness to facts, singular facts, and idealization as an act of either assuming zero of otherwise very small differences from facts or imagining ideal conditions under which scientific laws are either approximately true or will be so when the conditions are relaxed. I first explain the serious but not insurmountable difficulties for the theories of approximation, and then argue that more serious and perhaps insurmountable difficulties for the theory of (...)
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  • Inference to the Best explanation.Peter Lipton - 2004 - In Martin Curd & Stathis Psillos (eds.), The Routledge Companion to Philosophy of Science. Routledge. pp. 193.
    Science depends on judgments of the bearing of evidence on theory. Scientists must judge whether an observation or the result of an experiment supports, disconfirms, or is simply irrelevant to a given hypothesis. Similarly, scientists may judge that, given all the available evidence, a hypothesis ought to be accepted as correct or nearly so, rejected as false, or neither. Occasionally, these evidential judgments can be made on deductive grounds. If an experimental result strictly contradicts a hypothesis, then the truth of (...)
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  • From Instrumentalism to Constructive Realism: On Some Relations Between Confirmation, Empirical Progress, and Truth Approximation.Theodorus Antonius Franciscus Kuipers - 2000 - Dordrecht, Netherland: Springer.
    Surprisingly, modified versions of the confirmation theory (Carnap and Hempel) and truth approximation theory (Popper) turn out to be smoothly sythesizable. The glue between the two appears to be the instrumentalist methodology, rather than that of the falsificationalist. The instrumentalist methodology, used in the separate, comparative evaluation of theories in terms of their successes and problems (hence, even if already falsified), provides in theory and practice the straight road to short-term empirical progress in science ( à la Laudan). It is (...)
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  • Kitcher, ideal agents, and fictionalism.Sarah Hoffman - 2004 - Philosophia Mathematica 12 (1):3-17.
    Kitcher urges us to think of mathematics as an idealized science of human operations, rather than a theory describing abstract mathematical objects. I argue that Kitcher's invocation of idealization cannot save mathematical truth and avoid platonism. Nevertheless, what is left of Kitcher's view is worth holding onto. I propose that Kitcher's account should be fictionalized, making use of Walton's and Currie's make-believe theory of fiction, and argue that the resulting ideal-agent fictionalism has advantages over mathematical-object fictionalism.
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  • Recurrent transient underdetermination and the glass half full. [REVIEW]Peter Godfrey-Smith - 2008 - Philosophical Studies 137 (1):141 - 148.
    Kyle Stanford’s arguments against scientific realism are assessed, with a focus on the underdetermination of theory by evidence. I argue that discussions of underdetermination have neglected a possible symmetry which may ameliorate the situation.
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  • Truthlikeness for probabilistic laws.Alfonso García-Lapeña - 2021 - Synthese 199 (3-4):9359-9389.
    Truthlikeness is a property of a theory or a proposition that represents its closeness to the truth. We start by summarizing Niiniluoto’s proposal of truthlikeness for deterministic laws, which defines truthlikeness as a function of accuracy, and García-Lapeña’s expanded version, which defines truthlikeness for DL as a function of two factors, accuracy and nomicity. Then, we move to develop an appropriate definition of truthlikeness for probabilistic laws based on Niiniluoto’s suggestion to use the Kullback–Leibler divergence to define the distance between (...)
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  • Verisimilitude and Truthmaking.Kit Fine - 2019 - Erkenntnis 86 (5):1239-1276.
    I provide and defend a hyper-intensional account of verisimilitude within the truthmaker framework.
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  • Some Remarks on Popper’s Qualitative Criterion of Verisimilitude.Kit Fine - 2019 - Erkenntnis 87 (1):213-236.
    The paper sets up a general framework for defining the notion of verisimilitude. Popper’s own account of verisimilitude is then located within this framework; and his account is defended on the grounds that it can be seen to provide a reasonable structural or Pareto criterion, rather than a substantive criterion, of verisimilitude. Some other criteria of verisimilitude that may be located within the framework are also considered and their relative merits compared.
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  • Acceptance, Aggregation and Scoring Rules.Jake Chandler - 2013 - Erkenntnis 78 (1):201-217.
    As the ongoing literature on the paradoxes of the Lottery and the Preface reminds us, the nature of the relation between probability and rational acceptability remains far from settled. This article provides a novel perspective on the matter by exploiting a recently noted structural parallel with the problem of judgment aggregation. After offering a number of general desiderata on the relation between finite probability models and sets of accepted sentences in a Boolean sentential language, it is noted that a number (...)
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  • Progress as Approximation to the Truth: A Defence of the Verisimilitudinarian Approach.Gustavo Cevolani & Luca Tambolo - 2013 - Erkenntnis 78 (4):921-935.
    In this paper we provide a compact presentation of the verisimilitudinarian approach to scientific progress (VS, for short) and defend it against the sustained attack recently mounted by Alexander Bird (2007). Advocated by such authors as Ilkka Niiniluoto and Theo Kuipers, VS is the view that progress can be explained in terms of the increasing verisimilitude (or, equivalently, truthlikeness, or approximation to the truth) of scientific theories. According to Bird, VS overlooks the central issue of the appropriate grounding of scientific (...)
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  • Getting Accurate about Knowledge.Sam Carter & Simon Goldstein - 2022 - Mind 132 (525):158-191.
    There is a large literature exploring how accuracy constrains rational degrees of belief. This paper turns to the unexplored question of how accuracy constrains knowledge. We begin by introducing a simple hypothesis: increases in the accuracy of an agent’s evidence never lead to decreases in what the agent knows. We explore various precise formulations of this principle, consider arguments in its favour, and explain how it interacts with different conceptions of evidence and accuracy. As we show, the principle has some (...)
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  • Knowledge from Falsehood and Truth-Closeness.Sven Bernecker - 2022 - Philosophia 50 (4):1623-1638.
    The paper makes two points. First, any theory of knowledge must explain the difference between cases of knowledge from falsehood and Gettier cases where the subject relies on reasoning from falsehood. Second, the closeness-to-the-truth approach to explaining the difference between knowledge-yielding and knowledge-suppressing falsehoods does not hold up to scrutiny.
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  • Approximate Truth and Descriptive Nesting.Jeffrey Alan Barrett - 2008 - Erkenntnis 68 (2):213-224.
    There is good reason to suppose that our best physical theories, quantum mechanics and special relativity, are false if taken together and literally. If they are in fact false, then how should they count as providing knowledge of the physical world? One might imagine that, while strictly false, our best physical theories are nevertheless in some sense probably approximately true. This paper presents a notion of local probable approximate truth in terms of descriptive nesting relations between current and subsequent theories. (...)
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  • Recent Trends in Philosophical Logic (Proceedings of Trends in Logic XI).Roberto Ciuni, Heinrich Wansing & Caroline Willkommen (eds.) - 2014 - Cham, Switzerland: Springer.
    This volume presents recent advances in philosophical logic with chapters focusing on non-classical logics, including paraconsistent logics, substructural logics, modal logics of agency and other modal logics. The authors cover themes such as the knowability paradox, tableaux and sequent calculi, natural deduction, definite descriptions, identity, truth, dialetheism and possible worlds semantics. The developments presented here focus on challenging problems in the specification of fundamental philosophical notions, as well as presenting new techniques and tools, thereby contributing to the development of the (...)
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  • Towards a New Account of Progress in Metaphysics: The Tool Building Approach.Dylan Goldman - manuscript
    How does scientifically informed metaphysics make progress? One response is that scientifically informed metaphysics makes progress off the back of science. Some argue that there is a problem with this line of reasoning. Kerry McKenzie claims that metaphysics cannot make progress off the back of science because metaphysical theories cannot approximate the truth like science can. She concludes that metaphysics based on science cannot make progress, even in principle. In this paper, I use McKenzie’s argument as a jumping-off point from (...)
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  • Counterfactuals and Scientific Realism.Michael J. Shaffer - 2012 - London and Basingstoke: Palgrave MacMillan.
    This book is a sustained defense of the compatibility of the presence of idealizations in the sciences and scientific realism. So, the book is essentially a detailed response to the infamous arguments raised by Nancy Cartwright to the effect that idealization and scientific realism are incompatible.
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  • Strongly semantic information and verisimilitude.Gustavo Cevolani - 2011 - Ethics and Politics (2):159-179.
    In The Philosophy of Information, Luciano Floridi presents a theory of “strongly semantic information”, based on the idea that “information encapsulates truth” (the so-called “veridicality thesis”). Starting with Popper, philosophers of science have developed different explications of the notion of verisimilitude or truthlikeness, construed as a combination of truth and information. Thus, the theory of strongly semantic information and the theory of verisimilitude are intimately tied. Yet, with few exceptions, this link has virtually pass unnoticed. In this paper, we briefly (...)
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  • Synthetic Ethical Naturalism.Michael Rubin - unknown
    This dissertation is a critique of synthetic ethical naturalism (SEN). SEN is a view in metaethics that comprises three key theses: first, there are moral properties and facts that are independent of the beliefs and attitudes of moral appraisers (moral realism); second, moral properties and facts are identical to (or constituted only by) natural properties and facts (ethical naturalism); and third, sentences used to assert identity or constitution relations between moral and natural properties are expressions of synthetic, a posteriori necessities. (...)
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  • Approaching the truth via belief change in propositional languages.Gustavo Cevolani & Francesco Calandra - 2010 - In M. Suàrez, M. Dorato & M. Rèdei (eds.), EPSA Epistemology and Methodology of Science: Launch of the European Philosophy of Science Association. Springer. pp. 47--62.
    Starting from the sixties of the past century theory change has become a main concern of philosophy of science. Two of the best known formal accounts of theory change are the post-Popperian theories of verisimilitude (PPV for short) and the AGM theory of belief change (AGM for short). In this paper, we will investigate the conceptual relations between PPV and AGM and, in particular, we will ask whether the AGM rules for theory change are effective means for approaching the truth, (...)
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  • The epistemological status of scientific theories: An investigation of the structural realist account.Ioannis Votsis - 2004 - Dissertation, London School of Economics
    In this dissertation, I examine a view called ‘Epistemic Structural Realism’, which holds that we can, at best, have knowledge of the structure of the physical world. Put crudely, we can know physical objects only to the extent that they are nodes in a structure. In the spirit of Occam’s razor, I argue that, given certain minimal assumptions, epistemic structural realism provides a viable and reasonable scientific realist position that is less vulnerable to anti-realist arguments than any of its rivals.
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  • Confirming idealized theories and scientific realism.Chuang Liu - unknown
    Two types of idealization in theory construction are distinguished, and the distinction is used to give a critique of Ron Laymon's account of confirming idealized theories and his argument for scientific realism.
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  • Nonstandard Bayesianism: How Verisimilitude and Counterfactual Degrees of Belief Solve the Interpretive Problem in Bayesian Inference.Olav B. Vassend - unknown
    Scientists and Bayesian statisticians often study hypotheses that they know to be false. This creates an interpretive problem because the Bayesian probability of a hypothesis is typically interpreted as a degree of belief that the hypothesis is true. In this paper, I present and contrast two solutions to the interpretive problem, both of which involve reinterpreting the Bayesian framework in such a way that pragmatic factors directly determine in part how probability assignments are interpreted and whether a given probability assignment (...)
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  • Bayesian Statistical Inference and Approximate Truth.Olav B. Vassend - unknown
    Scientists and Bayesian statisticians often study hypotheses that they know to be false. This creates an interpretive problem because the Bayesian probability of a hypothesis is supposed to represent the probability that the hypothesis is true. I investigate whether Bayesianism can accommodate the idea that false hypotheses are sometimes approximately true or that some hypotheses or models can be closer to the truth than others. I argue that the idea that some hypotheses are approximately true in an absolute sense is (...)
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