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Jamie Tappenden [28]Jamie P. Tappenden [1]
  1. Jamie Tappenden, Orienting Remarks.
    A cluster of recent papers on Frege have urged variations on the theme that Frege’s conception of logic is in some crucial way incompatible with ‘metatheoretic’ investigation. From this observation, significant consequences for our interpretation of Frege’s understanding of his enterprise are taken to follow. This chapter aims to critically examine this view, and to isolate what I take to be the core of truth in it. However, I will also argue that once we have isolated the defensible kernel, the (...)
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  2. Jamie Tappenden, The Riemannian Background to Frege's Philosophy.
    There was a methodological revolution in the mathematics of the nineteenth century, and philosophers have, for the most part, failed to notice.2 My objective in this chapter is to convince you of this, and further to convince you of the following points. The philosophy of mathematics has been informed by an inaccurately narrow picture of the emergence of rigour and logical foundations in the nineteenth century. This blinkered vision encourages a picture of philosophical and logical foundations as essentially disengaged from (...)
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  3. Jamie Tappenden, To the Memory of Heda Segvic.
    Mathematical investigation, when done well, can confer understanding. This bare observation shouldn’t be controversial; where obstacles appear is rather in the effort to engage this observation with epistemology. The complexity of the issue of course precludes addressing it tout court in one paper, and I’ll just be laying some early foundations here. To this end I’ll narrow the field in two ways. First, I’ll address a specific account of explanation and understanding that applies naturally to mathematical reasoning: the view proposed (...)
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  4. Jamie Tappenden, Negation, Denial and Language Change in Philosophical Logic.
    This paper uses the strengthened liar paradox as a springboard to illuminate two more general topics: i) the negation operator and the speech act of denial among speakers of English and ii) some ways the potential for acceptable language change is constrained by linguistic meaning. The general and special problems interact in reciprocally illuminating ways. The ultimate objective of the paper is, however, less to solve certain problems than to create others, by illustrating how the issues that form the topic (...)
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  5. Jamie Tappenden, Proof Style and Understanding in Mathematics I: Visualization, Unification and Axiom Choice.
    Mathematical investigation, when done well, can confer understanding. This bare observation shouldn’t be controversial; where obstacles appear is rather in the effort to engage this observation with epistemology. The complexity of the issue of course precludes addressing it tout court in one paper, and I’ll just be laying some early foundations here. To this end I’ll narrow the field in two ways. First, I’ll address a specific account of explanation and understanding that applies naturally to mathematical reasoning: the view proposed (...)
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  6. Jamie Tappenden (2012). Fruitfulness as a Theme in the Philosophy of Mathematics. Journal of Philosophy 109 (1-2):204-219.
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  7. Jamie P. Tappenden, Achille C. Varzi & William E. Seager (eds.) (2011). Truth and Values: Essays for Hans Herzberger. University of Calgary Press.
    A selection of essays dedicated to Hans Herzberger with affection and gratitude for both his profound work and his lasting example. Contributors: I. Levi (on whether and how a rational agent should be seen as a maximizer of some cognitive value), C. Normore (on medieval accounts of logical validity), J. P. Tappenden (on the local influences on Frege's doctrines), A. Urquhart (on the inexpressible), A. C. Varzi (on dimensionality and the sense of possibility), and S. Yablo (on content and carvings, (...)
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  8. Jamie Tappenden & Ivahn Smadja (2011). Définitions mathématiques pour philosophes. Les Etudes Philosophiques 2 (2):179-191.
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  9. Sam Buss, Stephen Cook, José Ferreirós, David Marker, Theodore Slaman & Jamie Tappenden (2008). University of California, Irvine Irvine, California March 27–30, 2008. Bulletin of Symbolic Logic 14 (3).
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  10. Sam Buss, Stephen Cook, Jos Ferreirs, Andy Lewis, David Marker, Theodore Slaman & Jamie Tappenden (2008). 2008 Annual Meeting of the Association for Symbolic Logic-University of California, Irvine-Irvine, California-March 27-30, 2008-Abstracts. [REVIEW] Bulletin of Symbolic Logic 14 (3).
     
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  11. Jamie Tappenden (2008). And Definitions. In Paolo Mancosu (ed.), The Philosophy of Mathematical Practice. Oup Oxford. 256.
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  12. Jamie Tappenden (2008). A Primer on Ernst Abbe for Frege Readers. Canadian Journal of Philosophy 38 (S1):31-118.
    Setting out to understand Frege, the scholar confronts a roadblock at the outset: We just have little to go on. Much of the unpublished work and correspondence is lost, probably forever. Even the most basic task of imagining Frege's intellectual life is a challenge. The people he studied with and those he spent daily time with are little known to historians of philosophy and logic. To be sure, this makes it hard to answer broad questions like: 'Who influenced Frege?' But (...)
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  13. Jamie Tappenden (2008). Mathematical Concepts and Definitions. In Paolo Mancosu (ed.), The Philosophy of Mathematical Practice. Oup Oxford. 256--275.
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  14. Jamie Tappenden (2008). Mathematical Concepts: Fruitfulness and Naturalness. In Paolo Mancosu (ed.), The Philosophy of Mathematical Practice. Oup Oxford. 276--301.
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  15. Stewart Shapiro, Alan Weir & Jamie Tappenden (2005). Kit Fine Precis. Discussion. Philosophical Studies 122 (3):305 - 395.
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  16. Jamie Tappenden (2005). On Kit Fine's the Limits of Abstraction – Discussion. [REVIEW] Philosophical Studies 122 (3):349 - 366.
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  17. Jamie Tappenden (2005). The Caesar Problem in its Historical Context: Mathematical Background. Dialectica 59 (2):237–264.
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  18. Jamie Tappenden (2002). Comments on Soames' Understanding Truth. Philosophy and Phenomenological Research 65 (2):418–421.
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  19. Jamie Tappenden (2001). Recent Work in Philosophy of Mathematics: Review of P. Maddy, Naturalism in Mathematics; S. Shapiro, Philosophy of Mathematics: Structure and Ontology; M. Resnik, Mathematics as a Science of Patterns. [REVIEW] Journal of Philosophy 98 (9):488 - 497.
  20. Jamie Tappenden (2001). Recent Work in Philosophy of Mathematics. Journal of Philosophy 98 (9):488-497.
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  21. Jamie Tappenden (2000). Frege on Axioms, Indirect Proof, and Independence Arguments in Geometry: Did Frege Reject Independence Arguments? Notre Dame Journal of Formal Logic 41 (3):271-315.
    It is widely believed that some puzzling and provocative remarks that Frege makes in his late writings indicate he rejected independence arguments in geometry, particularly arguments for the independence of the parallels axiom. I show that this is mistaken: Frege distinguished two approaches to independence arguments and his puzzling remarks apply only to one of them. Not only did Frege not reject independence arguments across the board, but also he had an interesting positive proposal about the logical structure of correct (...)
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  22. Jamie Tappenden (1999). Review: Shaughan Lavine, Understanding the Infinite. [REVIEW] Journal of Symbolic Logic 64 (4):1843-1845.
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  23. Jamie Tappenden (1997). Metatheory and Mathematical Practice in Frege. Philosophical Topics 25 (2):213-264.
    A cluster of recent papers on Frege have urged variations on the theme that Frege’s conception of logic is in some crucial way incompatible with ‘metatheoretic’ investigation. From this observation, significant consequences for our interpretation of Frege’s understanding of his enterprise are taken to follow. This chapter aims to critically examine this view, and to isolate what I take to be the core of truth in it. However, I will also argue that once we have isolated the defensible kernel, the (...)
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  24. Jamie Tappenden (1995). Commentary. Southern Journal of Philosophy 33 (Supplement):193-201.
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  25. Jamie Tappenden (1995). Extending Knowledge and `Fruitful Concepts': Fregean Themes in the Foundations of Mathematics. Noûs 29 (4):427-467.
  26. Jamie Tappenden (1995). Geometry and Generality in Frege's Philosophy of Arithmetic. Synthese 102 (3):319 - 361.
    This paper develops some respects in which the philosophy of mathematics can fruitfully be informed by mathematical practice, through examining Frege's Grundlagen in its historical setting. The first sections of the paper are devoted to elaborating some aspects of nineteenth century mathematics which informed Frege's early work. (These events are of considerable philosophical significance even apart from the connection with Frege.) In the middle sections, some minor themes of Grundlagen are developed: the relationship Frege envisions between arithmetic and geometry and (...)
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  27. Jamie Tappenden (1995). Some Remarks on Vagueness and a Dynamic Conception of Language. Southern Journal of Philosophy 33 (S1):193-201.
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  28. Jamie Tappenden (1993). Analytic Truth—It's Worse (or Perhaps Better) Than You Thought. Philosophical Topics 21 (2):233-261.
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  29. Jamie Tappenden (1993). The Liar and Sorites Paradoxes: Toward a Unified Treatment. Journal of Philosophy 60 (11):551-577.