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  1. Confirming Mathematical Conjectures by Analogy.Francesco Nappo, Nicolò Cangiotti & Caterina Sisti - 2024 - Erkenntnis 89 (6):2493-2519.
    Analogy has received attention as a form of inductive reasoning in the empirical sciences. Its role in mathematics has, instead, received less consideration. This paper provides a novel account of how an analogy with a more familiar mathematical domain can contribute to the confirmation of a mathematical conjecture. By reference to case-studies, we propose a distinction between an _incremental_ and a _non-incremental_ form of confirmation by mathematical analogy. We offer an account of the former within the popular framework of Bayesian (...)
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  • Confirmation by analogy.Francesco Nappo - 2022 - Synthese 200 (1):1-26.
    This paper proposes a framework for representing in Bayesian terms the idea that analogical arguments of various degrees of strength may provide inductive support to yet untested scientific hypotheses. On this account, contextual information plays a crucial role in determining whether, and to what extent, a given similarity or dissimilarity between source and target may confirm an empirical hypothesis over a rival one. In addition to showing confirmation by analogy compatible with the adoption of a Bayesian standpoint, the proposal outlined (...)
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  • Transitivity and Intransitivity in Evidential Support: Some Further Results.William Roche - 2012 - Review of Symbolic Logic 5 (2):259-268.
    Igor Douven establishes several new intransitivity results concerning evidential support. I add to Douven’s very instructive discussion by establishing two further intransitivity results and a transitivity result.
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  • A weaker condition for transitivity in probabilistic support.William A. Roche - 2012 - European Journal for Philosophy of Science 2 (1):111-118.
    Probabilistic support is not transitive. There are cases in which x probabilistically supports y , i.e., Pr( y | x ) > Pr( y ), y , in turn, probabilistically supports z , and yet it is not the case that x probabilistically supports z . Tomoji Shogenji, though, establishes a condition for transitivity in probabilistic support, that is, a condition such that, for any x , y , and z , if Pr( y | x ) > Pr( y (...)
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  • Evidence-Based Policy: A Practical Guide to Doing it Better, Nancy Cartwright and Jeremy Hardie. Oxford University Press, 2013, ix + 196 pages. [REVIEW]Naftali Weinberger - 2014 - Economics and Philosophy 30 (1):113-120.
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  • On the Truth-Conduciveness of Coherence.William Roche - 2014 - Erkenntnis 79 (3):647-665.
    I argue that coherence is truth-conducive in that coherence implies an increase in the probability of truth. Central to my argument is a certain principle for transitivity in probabilistic support. I then address a question concerning the truth-conduciveness of coherence as it relates to (something else I argue for) the truth-conduciveness of consistency, and consider how the truth-conduciveness of coherence bears on coherentist theories of justification.
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  • Ramsification and inductive inference.Panu Raatikainen - 2012 - Synthese 187 (2):569-577.
    An argument, different from the Newman objection, against the view that the cognitive content of a theory is exhausted by its Ramsey sentence is reviewed. The crux of the argument is that Ramsification may ruin inductive systematization between theory and observation. The argument also has some implications concerning the issue of underdetermination.
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  • Explication, H-D Confirmation, and Simplicity.Lukáš Bielik - 2018 - Erkenntnis 83 (5):1085-1104.
    Explication usually plays the role of the method of language revision. The paper sticks to the Carnapian project of explication and develops some of the formal requirements imposed on the explicatum. However, it departs from Carnap’s view when it comes to how to construe the simplicity condition. It is suggested that in some cases the simplicity condition, which in the Carnapian project plays the derived role with respect to the other three conditions—the similarity, exactness, and fruitfulness conditions—may be substantive for (...)
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  • Henry Cavendish's deduction of the electrostatic inverse square law from the result of a single experiment.Jon Dorling - 1974 - Studies in History and Philosophy of Science Part A 4 (4):327-348.
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  • Relevant deduction.Gerhard Schurz - 1991 - Erkenntnis 35 (1):391 - 437.
    This paper presents an outline of a new theory of relevant deduction which arose from the purpose of solving paradoxes in various fields of analytic philosophy. In distinction to relevance logics, this approach does not replace classical logic by a new one, but distinguishes between relevance and validity. It is argued that irrelevant arguments are, although formally valid, nonsensical and even harmful in practical applications. The basic idea is this: a valid deduction is relevant iff no subformula of the conclusion (...)
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  • Inductive systematization: Definition and a critical survey.Ilkka Niiniluoto - 1972 - Synthese 25 (1-2):25 - 81.
    In 1958, to refute the argument known as the theoretician's dilemma, Hempel suggested that theoretical terms might be logically indispensable for inductive systematization of observational statements. This thesis, in some form or another, has later been supported by Scheffler, Lehrer, and Tuomela, and opposed by Bohnert, Hooker, Stegmüller, and Cornman. In this paper, a critical survey of this discussion is given. Several different putative definitions of the crucial notion inductive systematization achieved by a theory are discussed by reference to the (...)
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  • Confirmation and adequacy conditions.Marsha Hanen - 1971 - Philosophy of Science 38 (3):361-368.
    Several standard conditions of adequacy for confirmation are considered and a conclusion of B. Skyrms regarding the converse-consequence condition is shown to be mistaken. Widely accepted conditions such as the entailment condition and the special consequence condition are shown to be open to counterexample, and confusion about these conditions is traced to confusion about the difference between two kinds of confirmation concepts--concepts of firmness and concepts of increase in firmness. The importance of concepts of the latter sort is stressed. Finally, (...)
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  • Confirmation, paradoxes, and possible worlds.Shelley Stillwell - 1985 - British Journal for the Philosophy of Science 36 (1):19-52.
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  • Ein logisch-pragmatisches Modell Von deduktiv-nomologischer erklärung (systematisierung).Gerhard Schurz - 1982 - Erkenntnis 17 (3):321 - 347.
    The present paper first shows that the validity of deductive-nomological (D-N) explanations (systematizations) depends in general on the interpretation context of the predicates involved in the explanation. Therefore, no logical-semantical model can be adequate. This problem is solved by relativisation of the validity criteria on both the confirmation context and the definition context of the premisses. Based upon this, a logical-pragmatical model of D-N explanation is developed. Thereby, especially explanations of laws and global explanations are taken into consideration, since these (...)
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  • How to Think about Indirect Confirmation.Brian McLoone - forthcoming - Erkenntnis:1-15.
    Suppose a theory T entails hypotheses H and $$H'$$, neither of which entails the other. A number of authors have argued that a piece of evidence E “indirectly confirms” H when E confirms either T or $$H'$$. But there has been a protracted and unsettled debate about whether indirect confirmation is a sound inference procedure. Skeptics argue that the procedure employs conditions of confirmation that jointly lead to absurdity. Proponents argue that this criticism is unfounded or that its import is (...)
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  • (1 other version)Antinomies and paradoxes and their solutions.Paul Weingartner - 1990 - Studies in East European Thought 39 (3-4):313-331.
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  • (1 other version)Antinomies and paradoxes and their solutions.Paul Weingartner - 1990 - Studies in Soviet Thought 39 (3-4):313-331.
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  • Hesse’s Condition for Transitivity of Probabilistic Support: A Friendly Reminder.Jakob Koscholke - forthcoming - Erkenntnis:1-11.
    The probabilistic support relation is known to violate transitivity. But over the years, philosophers have identified various conditions under which it does not, most notably screening-off and weak screening-off. In this short discussion note, I wish to highlight another condition that, unfortunately, is often neglected in the literature. This condition is due to Mary Hesse who recognized its transitivity-ensuring property long before other conditions entered the stage. I show that her condition is logically independent of screening-off and weak screening-off, but (...)
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  • Synthetic biology in the German Press: how impications of metaphores shape representations of morality and responsibility.Martin Döring - 2018 - Life Sciences, Society and Policy 14 (1):1-17.
    Synthetic biology represents a relatively young field of research which has developed into an important scientific endeavour. Characterised by a high degree of interdisciplinary work crossing disciplinary boundaries, such as biology, mathematics and engineering, SynBio has been, since its beginning, devoted to creating new biological functions, metabolic pathways or even minimal organisms. Although its often-articulated aim of developing new forms of life has so far not been archived, SynBio nowadays represents a well-established biotechnological approach and it has also attracted public (...)
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  • Induction and Confirmation Theory: An Approach based on a Paraconsistent Nonmonotonic Logic.Ricardo Sousa Silvestre - 2010 - Princípios 17 (28):71-98.
    This paper is an effort to realize and explore the connections that exist between nonmonotonic logic and confirmation theory. We pick up one of the most wide-spread nonmonotonic formalisms – default logic – and analyze to what extent and under what adjustments it could work as a logic of induction in the philosophical sense. By making use of this analysis, we extend default logic so as to make it able to minimally perform the task of a logic of induction, having (...)
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