39 found
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  1. Varieties of Risk.Philip A. Ebert, Martin Smith & Ian Durbach - 2020 - Philosophy and Phenomenological Research 101 (2):432-455.
    The notion of risk plays a central role in economics, finance, health, psychology, law and elsewhere, and is prevalent in managing challenges and resources in day-to-day life. In recent work, Duncan Pritchard (2015, 2016) has argued against the orthodox probabilistic conception of risk on which the risk of a hypothetical scenario is determined by how probable it is, and in favour of a modal conception on which the risk of a hypothetical scenario is determined by how modally close it is. (...)
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  2. Lottery judgments: A philosophical and experimental study.Philip A. Ebert, Martin Smith & Ian Durbach - 2018 - Philosophical Psychology 31 (1):110-138.
    In this paper, we present the results of two surveys that investigate subjects’ judgments about what can be known or justifiably believed about lottery outcomes on the basis of statistical evidence, testimonial evidence, and “mixed” evidence, while considering possible anchoring and priming effects. We discuss these results in light of seven distinct hypotheses that capture various claims made by philosophers about lay people’s lottery judgments. We conclude by summarizing the main findings, pointing to future research, and comparing our findings to (...)
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  3.  14
    Basic Laws of Arithmetic.Philip A. Ebert & Marcus Rossberg (eds.) - 2013 - Oxford University Press UK.
    This is the first complete English translation of Gottlob Frege's Grundgesetze der Arithmetik, with introduction and annotation. The importance of Frege's ideas within contemporary philosophy would be hard to exaggerate. He was, to all intents and purposes, the inventor of mathematical logic, and the influence exerted on modern philosophy of language and logic, and indeed on general epistemology, by the philosophical framework.
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  4. Abstraction and identity.Roy T. Cook & Philip A. Ebert - 2005 - Dialectica 59 (2):121–139.
    A co-authored article with Roy T. Cook forthcoming in a special edition on the Caesar Problem of the journal Dialectica. We argue against the appeal to equivalence classes in resolving the Caesar Problem.
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  5.  34
    Abstractionism: Essays in Philosophy of Mathematics.Philip A. Ebert & Marcus Rossberg - 2016 - Oxford, England: Oxford University Press UK.
    Abstractionism, which is a development of Frege's original Logicism, is a recent and much debated position in the philosophy of mathematics. This volume contains 16 original papers by leading scholars on the philosophical and mathematical aspects of Abstractionism. After an extensive editors' introduction to the topic of abstractionism, the volume is split into 4 sections. The contributions within these sections explore the semantics and meta-ontology of Abstractionism, abstractionist epistemology, the mathematics of Abstractionis, and finally, Frege's application constraint within an abstractionist (...)
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  6. Basic Laws of Arithmetic.Gottlob Frege, Philip A. Ebert & Marcus Rossberg (eds.) - 1964 - Berkeley,: Oxford University Press.
    This is the first complete English translation of Gottlob Frege's Grundgesetze der Arithmetik, with introduction and annotation. The importance of Frege's ideas within contemporary philosophy would be hard to exaggerate. He was, to all intents and purposes, the inventor of mathematical logic, and the influence exerted on modern philosophy of language and logic, and indeed on general epistemology, by the philosophical framework within which his technical contributions were conceived and developed has been so deep that he has a strong case (...)
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  7. Transmission of warrant-failure and the notion of epistemic analyticity.Philip A. Ebert - 2005 - Australasian Journal of Philosophy 83 (4):505 – 521.
    In this paper I will argue that Boghossian's explanation of how we can acquire a priori knowledge of logical principles through implicit definitions commits a transmission of warrant-failure. To this end, I will briefly outline Boghossian's account, followed by an explanation of what a transmission of warrant-failure consists in. I will also show that this charge is independent of the worry of rule-circularity which has been raised concerning the justification of logical principles and of which Boghossian is fully aware. My (...)
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  8. Cantor on Frege's Foundations of Arithmetic : Cantor's 1885 Review of Frege's Die Grundlagen der Arithmetik.Marcus Rossberg & Philip A. Ebert - 2009 - History and Philosophy of Logic 30 (4):341-348.
    In 1885, Georg Cantor published his review of Gottlob Frege's Grundlagen der Arithmetik . In this essay, we provide its first English translation together with an introductory note. We also provide a translation of a note by Ernst Zermelo on Cantor's review, and a new translation of Frege's brief response to Cantor. In recent years, it has become philosophical folklore that Cantor's 1885 review of Frege's Grundlagen already contained a warning to Frege. This warning is said to concern the defectiveness (...)
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  9. Mathematical Creation in Frege's Grundgesetze.Philip A. Ebert & Marcus Rossberg - 2019 - In Philip A. Ebert & Marcus Rossberg (eds.), Essays on Frege's Basic Laws of Arithmetic. Oxford: Oxford University Press. pp. 325-342.
  10.  97
    Frege on Sense Identity, Basic Law V, and Analysis.Philip A. Ebert - 2016 - Philosophia Mathematica 24 (1):9-29.
    The paper challenges a widely held interpretation of Frege's conception of logic on which the constituent clauses of basic law V have the same sense. I argue against this interpretation by first carefully looking at the development of Frege's thoughts in Grundlagen with respect to the status of abstraction principles. In doing so, I put forth a new interpretation of Grundlagen §64 and Frege's idea of ‘recarving of content’. I then argue that there is strong evidence in Grundgesetze that Frege (...)
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  11. Introduction to Abstractionism.Philip A. Ebert & Marcus Rossberg - 2016 - In Philip A. Ebert & Marcus Rossberg (eds.), Abstractionism: Essays in Philosophy of Mathematics. Oxford, England: Oxford University Press UK. pp. 3-33.
  12. Contemporary Reviews of Frege’s Grundgesetze.Philip A. Ebert & Marcus Rossberg - 2019 - In Philip A. Ebert & Marcus Rossberg (eds.), Essays on Frege's Basic Laws of Arithmetic. Oxford: Oxford University Press. pp. 637-652.
  13.  80
    Frege's Recipe.Roy T. Cook & Philip A. Ebert - 2016 - Journal of Philosophy 113 (7):309-345.
    In this paper, we present a formal recipe that Frege followed in his magnum opus “Grundgesetze der Arithmetik” when formulating his definitions. This recipe is not explicitly mentioned as such by Frege, but we will offer strong reasons to believe that Frege applied it in developing the formal material of Grundgesetze. We then show that a version of Basic Law V plays a fundamental role in Frege’s recipe and, in what follows, we will explicate what exactly this role is and (...)
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  14. A Framework for Implicit Definitions and the A priori.Philip A. Ebert - 2016 - In Philip A. Ebert & Marcus Rossberg (eds.), Abstractionism: Essays in Philosophy of Mathematics. Oxford, England: Oxford University Press UK. pp. 133--160.
  15.  21
    Gratuitous risk: danger and recklessness perception of adventure sports participants.Philip A. Ebert, Ian Durbach & Claire Field - 2024 - Journal of the Philosophy of Sport 51 (2):267-284.
    Since the 1970’s there has been a major increase in adventure sports participation but it seems that engagement in such sports comes with a stigma: adventure sports participants are often regarded as reckless ‘daredevils’. We approach the questions about people’s perception of risk and recklessness in adventure sports by combining empirical research with philosophical analysis. First, we provide empirical evidence that suggests that laypeople tend to assess the danger of adventure sports as greater than more mundane sports and judge adventure (...)
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  16.  34
    A plea for risk.Philip A. Ebert & Simon Robertson - unknown
    Mountaineering is a dangerous activity. For many mountaineers, part of its very attraction is the risk, the thrill of danger. Yet mountaineers are often regarded as reckless or even irresponsible for risking their lives. In this paper, we offer a defence of risk-taking in mountaineering. Our discussion is organised around the fact that mountaineers and non-mountaineers often disagree about how risky mountaineering really is. We hope to cast some light on the nature of this disagreement – and to argue that (...)
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  17.  73
    A Plea for Risk: Philip A. Ebert & Simon Robertson.Philip A. Ebert & Simon Robertson - 2013 - Royal Institute of Philosophy Supplement 73:45-64.
    Mountaineering is a dangerous activity. For many mountaineers, part of its very attraction is the risk, the thrill of danger. Yet mountaineers are often regarded as reckless or even irresponsible for risking their lives. In this paper, we offer a defence of risk-taking in mountaineering. Our discussion is organised around the fact that mountaineers and non-mountaineers often disagree about how risky mountaineering really is. We hope to cast some light on the nature of this disagreement – and to argue that (...)
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  18.  45
    Essays on Frege's Basic Laws of Arithmetic.Philip A. Ebert & Marcus Rossberg (eds.) - 2019 - Oxford: Oxford University Press.
    The volume is the first collection of essays that focuses on Gottlob Frege's Basic Laws of Arithmetic (1893/1903), highlighting both the technical and the philosophical richness of Frege's magnum opus. It brings together twenty-two renowned Frege scholars whose contributions discuss a wide range of topics arising from both volumes of Basic Laws of Arithmetic. The original chapters in this volume make vivid the importance and originality of Frege's masterpiece, not just for Frege scholars but for the study of the history (...)
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  19.  57
    Gottlob Frege: Basic Laws of Arithmetic.Philip A. Ebert & Marcus Rossberg (eds.) - 1964 - Oxford, UK: Oxford University Press.
    This is the first complete English translation of Gottlob Frege's Grundgesetze der Arithmetik (1893 and 1903), with introduction and annotation. As the culmination of his ground-breaking work in the philosophy of logic and mathematics, Frege here tried to show how the fundamental laws of arithmetic could be derived from purely logical principles.
  20. What is the purpose of neo-logicism?Marcus Rossberg & Philip A. Ebert - 2007 - Traveaux de Logique 18:33-61.
    This paper introduces and evaluates two contemporary approaches of neo-logicism. Our aim is to highlight the differences between these two neo-logicist programmes and clarify what each projects attempts to achieve. To this end, we first introduce the programme of the Scottish school – as defended by Bob Hale and Crispin Wright1 which we believe to be a..
     
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  21. Introduction: Outright Belief and Degrees of Belief.Philip A. Ebert & Martin Smith - 2012 - Dialectica 66 (3):305-308.
  22. Translators' Introduction.Philip A. Ebert & Marcus Rossberg - 1893 - In Gottlob Frege (ed.), Basic Laws of Arithmetic. Oxford, U.K.: Oxford University Press.
  23. Dummett's criticism of the context principle.Philip A. Ebert - 1986 - In Abraham Zvie Bar-On (ed.), Grazer Philosophische Studien. Distributed in the U.S.A. By Humanities Press.
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  24.  35
    The context principle and implicit definitions : towards an account of our a priori knowledge of arithmetic.Philip A. Ebert - 2005 - Dissertation, St. Andrews
    This thesis is concerned with explaining how a subject can acquire a priori knowledge of arithmetic. Every account for arithmetical, and in general mathematical knowledge faces Benacerraf's well-known challenge, i.e. how to reconcile the truths of mathematics with what can be known by ordinary human thinkers. I suggest four requirements that jointly make up this challenge and discuss and reject four distinct solutions to it. This will motivate a broadly Fregean approach to our knowledge of arithmetic and mathematics in general. (...)
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  25.  56
    Safety in numbers: how social choice theory can inform avalanche risk management.Philip A. Ebert & Michael Morreau - 2022 - Journal of Adventure Education and Outdoor Learning:1-17.
    Avalanche studies have undergone a transition in recent years. Early research focused mainly on environmental factors. More recently, attention has turned to human factors in decision making, such as behavioural and cognitive biases. This article adds a social component to this human turn in avalanche studies. It identifies lessons for decision making by groups of skiers from the perspective of social choice theory, a sub-field of economics, decision theory, philosophy and political science that investigates voting methods and other forms of (...)
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  26.  52
    Methodological and conceptual challenges in rare and severe event forecast verification.Philip A. Ebert & Peter Milne - 2022 - Natural Hazards and Earth System Science 22 (2):539-557.
    There are distinctive methodological and conceptual challenges in rare and severe event (RSE) forecast verification, that is, in the assessment of the quality of forecasts of rare but severe natural hazards such as avalanches, landslides or tornadoes. While some of these challenges have been discussed since the inception of the discipline in the 1880s, there is no consensus about how to assess RSE forecasts. This article offers a comprehensive and critical overview of the many different measures used to capture the (...)
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  27.  33
    Frege's Concept-Script (Grundgesetze der Arithmetik).Roy T. Cook, Philip A. Ebert & Marcus Rossberg - 2022 - In Bruno Woltzenlogel Paleo & Giselle Reis (eds.), Encyclopedia of Proof Systems. College Publications. pp. 5–7.
  28. Ed Zalta's Version of Neo-Logicism: a friendly letter of complaint.Philip A. Ebert & Marcus Rossberg - 2009 - In H. Leitgeb A Hieke (ed.), Reduction – Abstraction – Analysis. Ludwig Wittgenstein Society. pp. 11--305.
    In this short letter to Ed Zalta we raise a number of issues with regards to his version of Neo-Logicism. The letter is, in parts, based on a longer manuscript entitled “What Neo-Logicism could not be” which is in preparation. A response by Ed Zalta to our letter can be found on his website: http://mally.stanford.edu/publications.html (entry C3).
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  29.  46
    Adventure, climbing excellence and the practice of bolting.Simon Robertson & Philip A. Ebert - 2007 - In Mike J. McNamee (ed.), Philosophy, Risk and Adventure Sports. London ;Routledge. pp. 56.
    forthcoming in M. McNamee (ed) Philosophy, Risk and Adventure Sports, Routledge The final draft of a co-authored article with Simon Robertson (Leeds). In this paper we examine a recent version of an old controversy within climbing ethics. Our organising topic is the ‘bolting’….
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  30. A Puzzle About Ontological Commitments.Philip A. Ebert - 2008 - Philosophia Mathematica 16 (2):209-226.
    This paper raises and then discusses a puzzle concerning the ontological commitments of mathematical principles. The main focus here is Hume's Principle—a statement that, embedded in second-order logic, allows for a deduction of the second-order Peano axioms. The puzzle aims to put pressure on so-called epistemic rejectionism, a position that rejects the analytic status of Hume's Principle. The upshot will be to elicit a new and very basic disagreement between epistemic rejectionism and the neo-Fregeans, defenders of the analytic status of (...)
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  31.  31
    Bayesian reasoning in avalanche terrain: a theoretical investigation.Philip A. Ebert - 2019 - Journal of Adventure Education and Outdoor Learning 19 (1):84-95.
    In this article, I explore a Bayesian approach to avalanche decision-making. I motivate this perspective by highlighting a version of the base-rate fallacy and show that a similar pattern applies to decision-making in avalanche-terrain. I then draw out three theoretical lessons from adopting a Bayesian approach and discuss these lessons critically. Lastly, I highlight a number of challenges for avalanche educators when incorporating the Bayesian perspective in their curriculum.
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  32.  11
    Expert and lay judgements of danger and recklessness in adventure sports.Philip A. Ebert & Ian Durbach - 2023 - Journal of Risk Research 26 (2):133-146.
    We investigate differences in perceived danger and recklessness judgements by experts (experienced skiers, N=362) and laypeople (N=2080) about participation in adventure sports across the same judgemental task using a third person perspective. We investigate the relationship between danger and recklessness and the extent to which fatality frequency, as well as other contextual factors such as gender, dependants, competence, and motivations of the sports participant affect expert and laypeople judgements respectively. Experienced skiers gave lower overall danger and recklessness ratings than non-skiers. (...)
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  33.  6
    Ed Zalta’s Version of Neo-Logicism – a Friendly Letter of Complaint.Philip A. Ebert & Marcus Rossberg - 2009 - In Alexander Hieke & Hannes Leitgeb (eds.), Reduction, abstraction, analysis: proceedings of the 31th International Ludwig Wittgenstein-Symposium in Kirchberg, 2008. Frankfurt: de Gruyter. pp. 305-310.
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  34.  53
    Mountaineering and the value of self-sufficiency.Philip A. Ebert & Simon Robertson - 2010 - In Fritz Allhoff & Stephen E. Schmid (eds.), Climbing - Philosophy for Everyone: Because It's There. Malden, MA: Wiley-Blackwell.
  35.  6
    Mountaineering and the Value of Self‐Sufficiency.Philip A. Ebert & Simon Robertson - 2010-09-24 - In Fritz Allhoff & Stephen E. Schmid (eds.), Climbing ‐ Philosophy for Everyone. Wiley‐Blackwell. pp. 93–105.
    This chapter contains sections titled: What is Self‐Sufficiency? The Value of Self‐Sufficiency Objections Concluding Remarks Notes.
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  36. What mathematical knowledge could not be.Philip A. Ebert - 2007 - Aporia 1 (1):46-70.
    This is an introductory survey article to the philosophy of mathematics. I provide a detailed account of what Benacerraf’s problem is and then discuss in general terms four different approaches to ….
     
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  37.  28
    Guillermo E. Rosado Haddock. A Critical Introduction to the Philosophy of Gottlob Frege. Aldershot, Hampshire, and Burlington, Vermont: Ashgate Publishing, 2006. ISBN 978-0-7546-5471-1. Pp. x+157: Critical Studies/Book Reviews. [REVIEW]Philip A. Ebert - 2011 - Philosophia Mathematica 19 (3):363-367.
    Guillermo E. Rosado Haddock. A Critical Introduction to the Philosophy of Gottlob Frege. Aldershot, Hampshire, and Burlington, Vermont: Ashgate Publishing, 2006. ISBN 978-0-7546-5471-1. Pp. x+157.
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  38.  28
    Review of Kit Fine: The Limits of Abstraction[REVIEW]Philip A. Ebert - 2004 - British Journal for the Philosophy of Science 55 (4):791-800.
    Critical Notice of The Limits of abstraction by Kit Fine, Oxford: Clarendon Press, 2002, pp.216. ISBN 9780191567261.
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  39.  70
    Richard G. Heck Jr. Reading Frege's Grundgesetze. Oxford: Oxford University Press, 2012. ISBN: 978-0-19-923370-0 ; 978-0-19-874437-5 ; 978-0-19-165535-7 . Pp. xvii + 296. [REVIEW]Philip A. Ebert - 2015 - Philosophia Mathematica 23 (2):289-293.