27 found
Order:
See also
Philip A. Ebert
University of Stirling
  1. 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.
     
    Export citation  
     
    My bibliography   14 citations  
  2. The Good, the Bad and the Ugly.Philip A. Ebert & Stewart Shapiro - 2009 - Synthese 170 (3):415-441.
    This paper discusses the neo-logicist approach to the foundations of mathematics by highlighting an issue that arises from looking at the Bad Company objection from an epistemological perspective. For the most part, our issue is independent of the details of any resolution of the Bad Company objection and, as we will show, it concerns other foundational approaches in the philosophy of mathematics. In the first two sections, we give a brief overview of the "Scottish" neo-logicist school, present a generic form (...)
    Direct download (6 more)  
     
    Export citation  
     
    My bibliography   3 citations  
  3.  34
    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 (...)
    Direct download (6 more)  
     
    Export citation  
     
    My bibliography   1 citation  
  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.
    Direct download (5 more)  
     
    Export citation  
     
    My bibliography   7 citations  
  5. 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 (...)
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography   9 citations  
  6.  37
    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 (...)
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography   1 citation  
  7. 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 (...)
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography   1 citation  
  8.  13
    Gottlob Frege: Basic Laws of Arithmetic.Philip A. Ebert & Marcus Rossberg (eds.) - 2013 - 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.
    Direct download  
     
    Export citation  
     
    My bibliography   1 citation  
  9. Kit Fine, the Limits of Abstraction Oxford, Clarendon Press, 2002, Cloth £18.99/US $25.00 ISBN: 0-19-924618-. [REVIEW]Roy T. Cook & 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.
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography   2 citations  
  10.  72
    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 (...)
    Direct download (10 more)  
     
    Export citation  
     
    My bibliography   1 citation  
  11. Ed Zalta's Version of Neo-Logicism: A Friendly Letter of Complaint.Philip A. Ebert & Marcus Rossberg - 2009 - In Hannes Leitgeb & Alexander Hieke (eds.), Reduction – Abstraction – Analysis. Ontos. 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).
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
  12.  77
    Introduction: Outright Belief and Degrees of Belief.Philip A. Ebert & Martin Smith - 2012 - Dialectica 66 (3):305-308.
  13.  32
    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 (...)
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
  14. 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 ….
     
    Export citation  
     
    My bibliography  
  15.  16
    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 (...)
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
  16.  11
    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&Plus;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.
    Direct download  
     
    Export citation  
     
    My bibliography  
  17.  60
    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..
    Direct download  
     
    Export citation  
     
    My bibliography  
  18.  20
    A Plea for Risk.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 (...)
    Direct download (10 more)  
     
    Export citation  
     
    My bibliography  
  19.  14
    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.
  20.  28
    Mountaineering and the Value of Self-Sufficiency.Philip A. Ebert & Simon Robertson - 2010 - In Stephen E. Schmid (ed.), Climbing - Philosophy for Everyone: Because It's There. Wiley-Blackwell.
  21. Abstractionism: Essays in Philosophy of Mathematics.Philip A. Ebert & Marcus Rossberg - 2016 - 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 (...)
     
    Export citation  
     
    My bibliography  
  22. Essays on Frege's Basic Laws of Arithmetic.Philip A. Ebert & Marcus Rossberg (eds.) - forthcoming - Oxford University Press.
  23. Introduction to Abstractionism.Philip A. Ebert & Marcus Rossberg - 2016 - In Philip A. Ebert & Marcus Rossberg (eds.), Abstractionism. Oxford: Oxford University Press. pp. 3-33.
  24. Kit Fine, The Limits of Abstraction Oxford, Clarendon Press, 2002, Cloth £18.99\Textfractionsolidus{}US &Dollar;25.00 ISBN: 0-19-924618-1. [REVIEW]Philip A. Ebert - 2004 - British Journal for the Philosophy of Science 55 (4):791-800.
    Direct download  
     
    Export citation  
     
    My bibliography  
  25.  7
    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. (...)
    No categories
    Direct download  
     
    Export citation  
     
    My bibliography  
  26. Translators' Introduction.Philip A. Ebert & Marcus Rossberg - 2013 - In Gottlob Frege (ed.), Basic Laws of Arithmetic, Derived Using Concept-Script: Volumes I & II. Oxford: Oxford University Press.
  27. A Framework for Implicit Definitions and the A Priori.Philip A. Ebert - 2016 - In Philip A. Ebert & Marcus Rossberg (eds.), Abstractionism. Oxford: Oxford University Press. pp. 133--160.