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Profile: Philip A. Ebert (University of Stirling)
  1. Philip A. Ebert, What Mathematical Knowledge Could Not Be.
    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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  2. Philip A. Ebert & Marcus Rossberg (eds.) (forthcoming). Abstractionism. Oxford University Press.
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  3. Philip A. Ebert & Robertson (2013). A Plea for Risk. Royal Institute of Philosophy Supplement 73:45-64.
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  4. Philip A. Ebert & Marcus Rossberg (eds.) (2013). Gottlob Frege: Basic Laws of Arithmetic. Oup Oxford.
    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.
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  5. Philip A. Ebert & Marcus Rossberg (2013). Translator's Introduction. In Gottlob Frege (ed.), Basic Laws of Arithmetic, Derived Using Concept-Script: Volumes I & Ii. Oxford University Press.
  6. Gottlob Frege, Philip A. Ebert & Marcus Rossberg (eds.) (2013). Basic Laws of Arithmetic. Oxford University Press.
  7. Philip A. Ebert & Martin Smith (2012). Introduction: Outright Belief and Degrees of Belief. Dialectica 66 (3):305-308.
  8. Philip A. Ebert & Simon Robertson (2010). Mountaineering and the Value of Self-Sufficiency. In Stephen E. Schmid (ed.), Climbing - Philosophy for Everyone: Because It's There. Wiley-Blackwell.
  9. Marcus Rossberg & Philip A. Ebert (2010). Cantor on Frege's Foundations of Arithmetic : Cantor's 1885 Review of Frege's Die Grundlagen der Arithmetik. 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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  10. Philip A. Ebert & Marcus Rossberg (2009). Ed Zalta's Version of Neo-Logicism: A Friendly Letter of Complaint. In Hannes Leitgeb & Alexander Hieke (eds.), Reduction – Abstraction – Analysis. Ontos. 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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  11. Philip A. Ebert & Stewart Shapiro (2009). The Good, the Bad and the Ugly. 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 (...)
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  12. Philip A. Ebert (2008). A Puzzle About Ontological Commitments. 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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  13. Simon Robertson & Philip A. Ebert (2007). Adventure, Climbing Excellence and the Practice of Bolting. In M. J. McNamee (ed.), Philosophy, Risk, and Adventure Sports. London ;Routledge. 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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  14. Marcus Rossberg & Philip A. Ebert (2007). What is the Purpose of Neo-Logicism? 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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  15. Roy T. Cook & Philip A. Ebert (2005). Abstraction and Identity. 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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  16. Philip A. Ebert (2005). Transmission of Warrant-Failure and the Notion of Epistemic Analyticity. 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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  17. Roy T. Cook & Philip A. Ebert (2004). Kit Fine, the Limits of Abstraction Oxford, Clarendon Press, 2002, Cloth £18.99/US $25.00 ISBN: 0-19-924618-. [REVIEW] British Journal for the Philosophy of Science 55 (4):791-800.
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