Results for 'Transglobal reliability'

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  1.  54
    Against transglobal reliabilism.Peter J. Graham - 2014 - Philosophical Studies 169 (3):525-535.
    David Henderson and Terry Horgan argue that doxastic epistemic justification requires the transglobal reliability of the belief-forming process. Transglobal reliability is reliability across a wide range of experientially possible global environments. Focusing on perception, I argue that justification does not require transglobal reliability, for perception is non-accidentally reliable and confers justification but not always transglobally reliable. Transglobal reliability is an epistemically desirable property of belief-forming processes, but not necessary for justification.
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  2. Transglobal evidentialism-reliabilism.David Henderson, Terry Horgan & Matjaž Potrč - 2007 - Acta Analytica 22 (4):281-300.
    We propose an approach to epistemic justification that incorporates elements of both reliabilism and evidentialism, while also transforming these elements in significant ways. After briefly describing and motivating the non-standard version of reliabilism that Henderson and Horgan call “transglobal” reliabilism, we harness some of Henderson and Horgan’s conceptual machinery to provide a non-reliabilist account of propositional justification (i.e., evidential support). We then invoke this account, together with the notion of a transglobally reliable belief-forming process, to give an account of (...)
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  3.  75
    The Epistemological Spectrum: At the Interface of Cognitive Science and Conceptual Analysis.David K. Henderson & Terence Horgan - 2011 - Oxford, GB: Oxford University Press. Edited by Terry Horgan.
    Henderson and Horgan set out a broad new approach to epistemology. They defend the roles of the a priori and conceptual analysis, but with an essential empirical dimension. 'Transglobal reliability' is the key to epistemic justification. The question of which cognitive processes are reliable depends on contingent facts about human capacities.
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  4.  6
    Judgmental Belief.Matjaž Potrč - 2019 - Filozofska Istrazivanja 39 (1):189-199.
    What is a belief? To answer this question, the reconstruction of belief-formation is attempted. It reveals the intertwining of two dimensions. At the upper end, there is the truth as the objective teleological goal of belief-formation. This goal is based upon a nested hierarchy of mutually supported sub-goals: objective evidence, transglobal reliability, one’s doxastic sensibility, and one’s all-in ultima facie doxastic seeming. The lower end of the hierarchy is subjective and deontic, whereas, in the middle, teleological and deontic (...)
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  5.  30
    Relies to our critics.David Henderson & Terence Horgan - 2014 - Philosophical Studies 169 (3):549-564.
    We respond to the central concerns raised by our commentators to our book, The Epistemological Spectrum. Casullo believes that our account of what we term “low-grade a priori” justification provides important clarification of a kind of philosophical reflection. However he objects to calling such reflection a priori. We explain what we think is at stake. Along the way, we comment on his idea of that there may be an epistemic payoff to making a distinction between assumptions and presumptions. In the (...)
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  6.  45
    Transglobal Reliabilism.David Henderson & Terry Horgan - 2006 - Croatian Journal of Philosophy 6 (2):171-195.
    We here propose an account of what it is for an agent to be objectively justified in holding some belief. We present in outline this approach, which we call transglobal reliabilism, and we discuss how it is motivated by various thought experiments. While transglobal reliabilism is an externalist epistemology, we think that it accommodates traditional internalist concerns and objections in a uniquely natural and respectful way.
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  7.  33
    Transglobal reliabilism.David Henderson & Terence Edward Horgan - 2006 - Croatian Journal of Philosophy 17:171-195.
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  8. Reliability for degrees of belief.Jeff Dunn - 2015 - Philosophical Studies 172 (7):1929-1952.
    We often evaluate belief-forming processes, agents, or entire belief states for reliability. This is normally done with the assumption that beliefs are all-or-nothing. How does such evaluation go when we’re considering beliefs that come in degrees? I consider a natural answer to this question that focuses on the degree of truth-possession had by a set of beliefs. I argue that this natural proposal is inadequate, but for an interesting reason. When we are dealing with all-or-nothing belief, high reliability (...)
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  9. Reliable Misrepresentation and Tracking Theories of Mental Representation.Angela Mendelovici - 2013 - Philosophical Studies 165 (2):421-443.
    It is a live possibility that certain of our experiences reliably misrepresent the world around us. I argue that tracking theories of mental representation have difficulty allowing for this possibility, and that this is a major consideration against them.
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  10. Reliability Theories of Justified Credence.Weng Hong Tang - 2016 - Mind 125 (497):63-94.
    Reliabilists hold that a belief is doxastically justified if and only if it is caused by a reliable process. But since such a process is one that tends to produce a high ratio of true to false beliefs, reliabilism is on the face of it applicable to binary beliefs, but not to degrees of confidence or credences. For while beliefs admit of truth or falsity, the same cannot be said of credences in general. A natural question now arises: Can (...) theories of justified belief be extended or modified to account for justified credence? In this paper, I address this question. I begin by showing that, as it stands, reliabilism cannot account for justified credence. I then consider three ways in which the reliabilist may try to do so by extending or modifying her theory, but I argue that such attempts face certain problems. After that, I turn to a version of reliabilism that incorporates evidentialist elements and argue that it allows us to avoid the problems that the other theories face. If I am right, this gives reliabilists a reason, aside from those given recently by Comesaña and Goldman, to move towards such a kind of hybrid theory. (shrink)
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  11.  41
    Reliable knowledge: an exploration of the grounds for belief in science.John M. Ziman - 1978 - New York: Cambridge University Press.
    Why believe in the findings of science? John Ziman argues that scientific knowledge is not uniformly reliable, but rather like a map representing a country we cannot visit. He shows how science has many elements, including alongside its experiments and formulae the language and logic, patterns and preconceptions, facts and fantasies used to illustrate and express its findings. These elements are variously combined by scientists in their explanations of the material world as it lies outside our everyday experience. John Ziman’s (...)
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  12. The reliability challenge to moral intuitions.Dario Cecchini - 2024 - Neuroethics 17 (2):1-13.
    In recent years, the epistemic reliability of moral intuitions has been undermined by substantial empirical data reporting the influence of cognitive biases. This paper discusses and elaborates upon a promising strategy in response to the reliability challenge to moral intuitions. The considered argument appeals to the fact that moral intuitions are experienced with different levels of strength and agents accept only strong intuitions, not vulnerable to bias under realistic circumstances. This essay aims to reconstruct this defense from the (...)
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  13. Reliability of molecular imaging diagnostics.Elisabetta Lalumera, Stefano Fanti & Giovanni Boniolo - 2021 - Synthese (S23):5701-5717.
    Advanced medical imaging, such as CT, fMRI and PET, has undergone enormous progress in recent years, both in accuracy and utilization. Such techniques often bring with them an illusion of immediacy, the idea that the body and its diseases can be directly inspected. In this paper we target this illusion and address the issue of the reliability of advanced imaging tests as knowledge procedures, taking positron emission tomography in oncology as paradigmatic case study. After individuating a suitable notion of (...)
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  14. Reliability and the value of knowledge.Wayne D. Riggs - 2002 - Philosophy and Phenomenological Research 64 (1):79-96.
    Reliabilism has come under recent attack for its alleged inability to account for the value we typically ascribe to knowledge. It is charged that a reliably-produced true belief has no more value than does the true belief alone. I reply to these charges on behalf of reliabilism; not because I think reliabilism is the correct theory of knowledge, but rather because being reliably-produced does add value of a sort to true beliefs. The added value stems from the fact that a (...)
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  15.  79
    Reliable group belief.Jeffrey Dunn - 2019 - Synthese 198 (S23):5653-5677.
    Many now countenance the idea that certain groups can have beliefs, or at least belief-like states. If groups can have beliefs like these, the question of whether such beliefs are justified immediately arises. Recently, Goldman Essays in collective epistemology, Oxford University Press, Oxford, 2014) has considered what a reliability-based account of justified group belief might look like. In this paper I consider his account and find it wanting, and so propose a modified reliability-based account of justified group belief. (...)
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  16. The Reliability Challenge in Moral Epistemology.Matt Lutz - 2020 - Oxford Studies in Metaethics 15:284-308.
    The Reliability Challenge to moral non-naturalism has received substantial attention recently in the literature on moral epistemology. While the popularity of this particular challenge is a recent development, the challenge has a long history, as the form of this challenge can be traced back to a skeptical challenge in the philosophy of mathematics raised by Paul Benacerraf. The current Reliability Challenge is widely regarded as the most sophisticated way to develop this skeptical line of thinking, making the (...) Challenge the strongest epistemic challenge to normative nonnaturalism. In this paper, I argue that the innovations that have occurred since Benacerraf’s statement of the challenge are misconceived and confused in a number of ways. The Reliability Challenge is not the most potent epistemic challenge to moral non-naturalism. The most potent challenge comes from the fact that there is a causal condition on knowledge – or, more precisely, a becaual condition – that non-natural moral facts cannot satisfy. (shrink)
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  17.  90
    Reliable color misrepresentation and color vision (in print), Special Issue: Brogaard, B. and French, R. (Eds).Dimitria Gatzia - forthcoming - Synthese.
    Tracking theories of mental representation posit a privileged relation between color representations and the color properties of objects. Tracking theories of mental representation have been used to motivate color realism as they posit that the function of color vision is to represent the colors of objects. It has been argued that tracking theories have a major flaw, namely they cannot account for reliable misrepresentation. It has further been suggested that reliable color misrepresentation is a live possibility. In this chapter, I (...)
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  18.  28
    Reliability and the Value of Knowledge.Wayne D. Riggs - 2002 - Philosophy and Phenomenological Research 64 (1):79-96.
    Reliabilism has come under recent attack for its alleged inability to account for the value we typically ascribe to knowledge. It is charged that a reliably‐produced true belief has no more value than does the true belief alone. I reply to these charges on behalf of reliabilism; not because I think reliabilism is the correct theory of knowledge, but rather because being reliably‐produced does add value of a sort to true beliefs. The added value stems from the fact that a (...)
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  19.  56
    Source Reliability and the Conjunction Fallacy.Andreas Jarvstad & Ulrike Hahn - 2011 - Cognitive Science 35 (4):682-711.
    Information generally comes from less than fully reliable sources. Rationality, it seems, requires that one take source reliability into account when reasoning on the basis of such information. Recently, Bovens and Hartmann (2003) proposed an account of the conjunction fallacy based on this idea. They show that, when statements in conjunction fallacy scenarios are perceived as coming from such sources, probability theory prescribes that the “fallacy” be committed in certain situations. Here, the empirical validity of their model was assessed. (...)
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  20. Character, reliability and virtue epistemology.Jason Baehr - 2006 - Philosophical Quarterly 56 (223):193–212.
    Standard characterizations of virtue epistemology divide the field into two camps: virtue reliabilism and virtue responsibilism. Virtue reliabilists think of intellectual virtues as reliable cognitive faculties or abilities, while virtue responsibilists conceive of them as good intellectual character traits. I argue that responsibilist character virtues sometimes satisfy the conditions of a reliabilist conception of intellectual virtue, and that consequently virtue reliabilists, and reliabilists in general, must pay closer attention to matters of intellectual character. This leads to several new questions and (...)
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  21.  76
    Reliable Reasoning: Induction and Statistical Learning Theory.Gilbert Harman & Sanjeev Kulkarni - 2007 - Bradford.
    In _Reliable Reasoning_, Gilbert Harman and Sanjeev Kulkarni -- a philosopher and an engineer -- argue that philosophy and cognitive science can benefit from statistical learning theory, the theory that lies behind recent advances in machine learning. The philosophical problem of induction, for example, is in part about the reliability of inductive reasoning, where the reliability of a method is measured by its statistically expected percentage of errors -- a central topic in SLT. After discussing philosophical attempts to (...)
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  22. The Reliability Challenge and the Epistemology of Logic.Joshua Schechter - 2010 - Philosophical Perspectives 24 (1):437-464.
    We think of logic as objective. We also think that we are reliable about logic. These views jointly generate a puzzle: How is it that we are reliable about logic? How is it that our logical beliefs match an objective domain of logical fact? This is an instance of a more general challenge to explain our reliability about a priori domains. In this paper, I argue that the nature of this challenge has not been properly understood. I explicate the (...)
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  23. How Reliably Misrepresenting Olfactory Experiences Justify True Beliefs.Angela Mendelovici - 2020 - In Dimitria Gatzia & Berit Brogaard (eds.), The Epistemology of Non-visual Perception. Oxford, U.K.: Oxford University Press. pp. 99-117.
    This chapter argues that olfactory experiences represent either everyday objects or ad hoc olfactory objects as having primitive olfactory properties, which happen to be uninstantiated. On this picture, olfactory experiences reliably misrepresent: they falsely represent everyday objects or ad hoc objects as having properties they do not have, and they misrepresent in the same way on multiple occasions. One might worry that this view is incompatible with the plausible claim that olfactory experiences at least sometimes justify true beliefs about the (...)
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  24. Realism, reliability, and epistemic possibility: on modally interpreting the Benacerraf–Field challenge.Brett Topey - 2021 - Synthese 199 (1-2):4415-4436.
    A Benacerraf–Field challenge is an argument intended to show that common realist theories of a given domain are untenable: such theories make it impossible to explain how we’ve arrived at the truth in that domain, and insofar as a theory makes our reliability in a domain inexplicable, we must either reject that theory or give up the relevant beliefs. But there’s no consensus about what would count here as a satisfactory explanation of our reliability. It’s sometimes suggested that (...)
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  25. The Reliability of Epistemic Intuitions.Kenneth Boyd & Jennifer Nagel - 2014 - In Edouard Machery & O'Neill Elizabeth (eds.), Current Controversies in Experimental Philosophy. Routledge. pp. 109-127.
  26. Reliability in Machine Learning.Thomas Grote, Konstantin Genin & Emily Sullivan - 2024 - Philosophy Compass 19 (5):e12974.
    Issues of reliability are claiming center-stage in the epistemology of machine learning. This paper unifies different branches in the literature and points to promising research directions, whilst also providing an accessible introduction to key concepts in statistics and machine learning – as far as they are concerned with reliability.
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  27. The reliability problem for reliabilism.Matthew Frise - 2018 - Philosophical Studies 175 (4):923-945.
    According to process reliabilism, a belief produced by a reliable belief-forming process is justified. I introduce problems for this theory on any account of reliability. Does the performance of a process in some domain of worlds settle its reliability? The theories that answer “Yes” typically fail to state the temporal parameters of this performance. I argue that any theory paired with any plausible parameters has implausible implications. The theories that answer “No,” I argue, thereby lack essential support and (...)
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  28.  31
    Vector Reliability: A new Approach to Epistemic Justification.Mark E. Wunderlich - 2003 - Synthese 136 (2):237-262.
    Critics of reliability theories of epistemic justificationoften claim that the `generality problem' is an insurmountabledifficulty for such theories. The generality problem is theproblem of specifying the level of generality at which abelief-forming process is to be described for the purposeof assessing its reliability. This problem is not asintractable as it seems. There are illuminating solutionsto analogous problems in the ethics literature. Reliabilistsought to attend to utilitarian approaches to choices betweeninfinite utility streams; they also ought to attend towelfarist approaches (...)
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  29. Reliability connections between conceivability and inconceivability.Peter Murphy - 2006 - Dialectica 60 (2):195-205.
    Conceivability is an important source of our beliefs about what is possible; inconceivability is an important source of our beliefs about what is impossible. What are the connections between the reliability of these sources? If one is reliable, does it follow that the other is also reliable? The central contention of this paper is that suitably qualified the reliability of inconceivability implies the reliability of conceivability, but the reliability of conceivability fails to imply the reliability (...)
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  30. Reliability of a New Measure to Assess Screen Time in Adults.Maricarmen Vizcaino, Matthew Buman, C. Tyler DesRoches & Christopher Wharton - 2019 - BMC Public Health 19 (19):1-8.
    Background: Screen time among adults represents a continuing and growing problem in relation to health behaviors and health outcomes. However, no instrument currently exists in the literature that quantifies the use of modern screen-based devices. The primary purpose of this study was to develop and assess the reliability of a new screen time questionnaire, an instrument designed to quantify use of multiple popular screen-based devices among the US population. -/- Methods: An 18-item screen-time questionnaire was created to quantify use (...)
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  31.  7
    Reliability in Pragmatics.Eric McCready - 2014 - Oxford University Press.
    This book considers how observations about the past influence future behaviour, as expressed in language. Focusing on information gathered from speech and other evidence sources, the author offers a model of how judgements about reliability can be made, and how such judgements factor into how people treat information they acquire via those sources.
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  32. Is there a reliability challenge for logic?Joshua Schechter - 2018 - Philosophical Issues 28 (1):325-347.
    There are many domains about which we think we are reliable. When there is prima facie reason to believe that there is no satisfying explanation of our reliability about a domain given our background views about the world, this generates a challenge to our reliability about the domain or to our background views. This is what is often called the reliability challenge for the domain. In previous work, I discussed the reliability challenges for logic and for (...)
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  33.  79
    The reliability of peer review for manuscript and grant submissions: A cross-disciplinary investigation.Domenic V. Cicchetti - 1991 - Behavioral and Brain Sciences 14 (1):119-135.
  34. Reliability on the Crowded Net: Finding the Truth in a Web of Deceit.P. D. Magnus - 2001 - In Unknown Unknown (ed.), MacHack proceedings.
    On-line, just as off-line, there are ways of assessing the credibility of information sources. The Internet, although it arguably makes for nothing wholly new in this regard, complicates the ordinary task of assessing credibility. In the first section, I consider a specific example and argue that Internet content providers have no clear interest in resolving these comlications. In the second, I consider four general ways that we might assess credibility and explore how they apply to life online. Finally, I argue (...)
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  35.  84
    Robustness, Reliability, and Overdetermination (1981).William C. Wimsatt - 2012 - In Lena Soler (ed.), Characterizing the robustness of science: after the practice turn in philosophy of science. New York: Springer Verlag. pp. 61-78.
    The use of multiple means of determination to “triangulate” on the existence and character of a common phenomenon, object, or result has had a long tradition in science but has seldom been a matter of primary focus. As with many traditions, it is traceable to Aristotle, who valued having multiple explanations of a phenomenon, and it may also be involved in his distinction between special objects of sense and common sensibles. It is implicit though not emphasized in the distinction between (...)
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  36. Circularity, reliability, and the cognitive penetrability of perception.Jack Lyons - 2011 - Philosophical Issues 21 (1):289-311.
    Is perception cognitively penetrable, and what are the epistemological consequences if it is? I address the latter of these two questions, partly by reference to recent work by Athanassios Raftopoulos and Susanna Seigel. Against the usual, circularity, readings of cognitive penetrability, I argue that cognitive penetration can be epistemically virtuous, when---and only when---it increases the reliability of perception.
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  37.  23
    The Tangle of Science: Reliability Beyond Method, Rigour, and Objectivity.Nancy Cartwright, Jeremy Hardie, Eleonora Montuschi, Matthew Soleiman & Ann C. Thresher - 2022 - Oxford, GB: Oxford University Press.
    Science is remarkably reliable. It puts people on the moon, performs laser eye surgery, tells us about ancient civilisations and species, and predicts the future of our climate. What underwrites this reliability? This book argues that the standard answers—the scientific method, rigour, and objectivity—are insufficient for the job. Here we propose a new model of science that places its products front and centre. This is the ‘Tangle of Science’. In this book we show how any reliable piece of science (...)
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  38. Reliability Gaps Between Groups in COMPAS Dataset.Tim Räz - 2024 - In - Acm (ed.), FAccT '24: Proceedings of the 2024 ACM Conference on Fairness, Accountability, and Transparency. New York NY United States: Association for Computing Machinery. pp. 113–126.
  39. Could Reliability Naturally Imply Safety?Spyridon Orestis Palermos - 2013 - European Journal of Philosophy 23 (4):1192-1208.
    The aim of the present paper is to argue that robust virtue epistemology is correct. That is, a complete account of knowledge is not in need for an additional modal criterion in order to account for knowledge-undermining epistemic luck. I begin by presenting the problems facing robust virtue epistemology by examining two prominent counterexamples—the Barney and ‘epistemic twin earth’ cases. After proposing a way in which virtue epistemology can explain away these two problematic cases, thereby, implying that cognitive abilities are (...)
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  40. Like an open book: Reliability, intersubjectivity, and textuality in bioethics.Laurie Zoloth & Rita Charon - 2002 - In Rita Charon & Martha Montello (eds.), Stories matter: the role of narrative in medical ethics. New York: Routledge. pp. 21--36.
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  41. Reliability and Justification.Richard Feldman - 1985 - The Monist 68 (2):159-174.
    According to a simple version of the reliability theory of epistemic justification, a belief is justified if and only if the process leading to that belief is reliable. The idea behind this theory is simple and attractive. There are a variety of mental or cognitive processes that result in beliefs. Some of these processes are reliable—they generally yield true beliefs—and the beliefs they produce are justified. Other processes are unreliable and the beliefs they produce are unjustified. So, for example, (...)
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  42. Reliability conducive measures of coherence.Erik J. Olsson & Stefan Schubert - 2007 - Synthese 157 (3):297-308.
    A measure of coherence is said to be truth conducive if and only if a higher degree of coherence (as measured) results in a higher likelihood of truth. Recent impossibility results strongly indicate that there are no (non-trivial) probabilistic coherence measures that are truth conducive. Indeed, this holds even if truth conduciveness is understood in a weak ceteris paribus sense (Bovens & Hartmann, 2003, Bayesian epistemology. New York, Oxford: Oxford University Press; Olsson, 2005, Against coherence: Truth probability and justification. Oxford: (...)
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  43. The reliability of testimony.Peter J. Graham - 2000 - Philosophy and Phenomenological Research 61 (3):695-709.
    Are we entitled or justified in taking the word of others at face value? An affirmative answer to this question is associated with the views of Thomas Reid. Recently, C. A. J. Coady has defended a Reidian view in his impressive and influential book. Testimony: A Philosophical Study. His central and most Oliginal argument for his positions involves reflection upon the practice of giving and accepting reports, of making assertions and relying on the word of others. His argument purports to (...)
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  44. Reliability of testimonial norms in scientific communities.Conor Mayo-Wilson - 2014 - Synthese 191 (1):55-78.
    Several current debates in the epistemology of testimony are implicitly motivated by concerns about the reliability of rules for changing one’s beliefs in light of others’ claims. Call such rules testimonial norms (tns). To date, epistemologists have neither (i) characterized those features of communities that influence the reliability of tns, nor (ii) evaluated the reliability of tns as those features vary. These are the aims of this paper. I focus on scientific communities, where the transmission of highly (...)
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  45. Reliable Knowledge: An Exploration of the Grounds for Belief in Science.J. M. Ziman - 1981 - British Journal for the Philosophy of Science 32 (3):311-314.
     
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  46.  85
    Disagreement, reliability, and resilience.John Pittard - 2017 - Synthese 194 (11):4389-4409.
    Alex Worsnip has recently argued against conciliatory views that say that the degree of doxastic revision required in light of disagreement is a function of one’s antecedent reliability estimates for oneself and one’s disputant. According to Worsnip, the degree of doxastic revision is also sensitive to the resilience of these estimates; in particular, when one has positive “net resilience,” meaning that one is more confident in one’s estimate of one’s own reliability than in one’s estimate of the disputant’s (...)
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  47. Reliability of Motivation and the Moral Value of Actions.Paula Satne - 2013 - Studia Kantiana 14:5-33.
    Kant famously made a distinction between actions from duty and actions in conformity with duty claiming that only the former are morally worthy. Kant’s argument in support of this thesis is taken to rest on the claim that only the motive of duty leads non-accidentally or reliably to moral actions. However, many critics of Kant have claimed that other motives such as sympathy and benevolence can also lead to moral actions reliably, and that Kant’s thesis is false. In addition, many (...)
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  48. Epistemic Challenges in Neurophenomenology: Exploring the Reliability of Knowledge and Its Ontological Implications.Anna Shutaleva - 2023 - Philosophies 8 (5):94.
    This article investigates the challenges posed by the reliability of knowledge in neurophenomenology and its connection to reality. Neurophenomenological research seeks to understand the intricate relationship between human consciousness, cognition, and the underlying neural processes. However, the subjective nature of conscious experiences presents unique epistemic challenges in determining the reliability of the knowledge generated in this research. Personal factors such as beliefs, emotions, and cultural backgrounds influence subjective experiences, which vary from individual to individual. On the other hand, (...)
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  49. Our Reliability is in Principle Explainable.Dan Baras - 2017 - Episteme 14 (2):197-211.
    Non-skeptical robust realists about normativity, mathematics, or any other domain of non- causal truths are committed to a correlation between their beliefs and non- causal, mind-independent facts. Hartry Field and others have argued that if realists cannot explain this striking correlation, that is a strong reason to reject their theory. Some consider this argument, known as the Benacerraf–Field argument, as the strongest challenge to robust realism about mathematics, normativity, and even logic. In this article I offer two closely related accounts (...)
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  50. Reliability of mathematical inference.Jeremy Avigad - 2020 - Synthese 198 (8):7377-7399.
    Of all the demands that mathematics imposes on its practitioners, one of the most fundamental is that proofs ought to be correct. It has been common since the turn of the twentieth century to take correctness to be underwritten by the existence of formal derivations in a suitable axiomatic foundation, but then it is hard to see how this normative standard can be met, given the differences between informal proofs and formal derivations, and given the inherent fragility and complexity of (...)
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