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Michael Potter [38]Michael D. Potter [6]Michael K. Potter [5]
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Profile: Michael Potter (Cambridge University)
Profile: Michael K. Potter (University of Windsor)
Profile: Michael Potter
  1.  40
    Michael D. Potter (2004). Set Theory and its Philosophy: A Critical Introduction. Oxford University Press.
    Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set (...)
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  2.  29
    Michael D. Potter (2000). Reason's Nearest Kin: Philosophies of Arithmetic From Kant to Carnap. Oxford University Press.
    This is a critical examination of the astonishing progress made in the philosophical study of the properties of the natural numbers from the 1880s to the 1930s. Reassessing the brilliant innovations of Frege, Russell, Wittgenstein, and others, which transformed philosophy as well as our understanding of mathematics, Michael Potter places arithmetic at the interface between experience, language, thought, and the world.
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  3.  23
    Michael D. Potter (2009). Wittgenstein's Notes on Logic. Oxford University Press.
    The book features the complete text of the Notesi in a critical edition, with a detailed discussion of the circumstances in which they were compiled, leading to ...
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  4.  99
    Mary Leng, Alexander Paseau & Michael D. Potter (eds.) (2007). Mathematical Knowledge. Oxford University Press.
    What is the nature of mathematical knowledge? Is it anything like scientific knowledge or is it sui generis? How do we acquire it? Should we believe what mathematicians themselves tell us about it? Are mathematical concepts innate or acquired? Eight new essays offer answers to these and many other questions. Written by some of the world's leading philosophers of mathematics, psychologists, and mathematicians, Mathematical Knowledge gives a lively sense of the current state of debate in this fascinating field. Contents 1. (...)
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  5.  28
    Tom Ricketts & Michael D. Potter (eds.) (2010). The Cambridge Companion to Frege. Cambridge University Press.
    Gottlob Frege (1848-1925) was unquestionably one of the most important philosophers of all time. He trained as a mathematician, and his work in philosophy started as an attempt to provide an explanation of the truths of arithmetic, but in the course of this attempt he not only founded modern logic but also had to address fundamental questions in the philosophy of language and philosophical logic. Frege is generally seen (along with Russell and Wittgenstein) as one of the fathers of the (...)
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  6.  13
    Peter Sullivan & Michael Potter (eds.) (2013). Wittgenstein's Tractatus. History and Interpretation. OUP.
    This volume of newly written chapters on the history and interpretation of Wittgenstein's Tractatus represents a significant step beyond the polemical debate between broad interpretive approaches that has recently characterized the field. Some of the contributors might count their approach as "new" or "resolute," while others are more 'traditional', but all are here concerned primarily with understanding in detail the structure of argument that Wittgenstein presents within the Tractatus , rather than with its final self-renunciation, or with the character of (...)
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  7.  32
    Michael Potter & Timothy Smiley (2001). Abstraction by Recarving. Proceedings of the Aristotelian Society 101 (3):327–338.
    Explains why Bob Hale's proposed notion of weak sense cannot explain the analyticity of Hume's principle as he claims. Argues that no other notion of the sort Hale wants could do the job either.
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  8.  74
    Michael Potter (2010). Elucidating the Tractatus: Wittgenstein's Early Philosophy of Logic and Language – Marie McGinn. Philosophical Quarterly 60 (238):192-194.
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  9.  27
    Michael Potter & Timothy Smiley (2002). Recarving Content: Hale's Final Proposal. Proceedings of the Aristotelian Society 102 (3):301–304.
    A follow-up, showing why Bob Hale's revision of his notion of weak sense is still inadequate.
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  10.  31
    Michael Potter (2008). The Birth of Analytic Philosophy. In Dermot Moran (ed.), The Routledge Companion to Twentieth Century Philosophy. Routledge 43.
    Tries to identify some strands in the birth of analytic philosophy and to identify in consequence some of its distinctive features.
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  11.  66
    Peter Sullivan & Michael Potter (1997). Hale on Caesar. Philosophia Mathematica 5 (2):135--52.
    Crispin Wright and Bob Hale have defended the strategy of defining the natural numbers contextually against the objection which led Frege himself to reject it, namely the so-called ‘Julius Caesar problem’. To do this they have formulated principles (called sortal inclusion principles) designed to ensure that numbers are distinct from any objects, such as persons, a proper grasp of which could not be afforded by the contextual definition. We discuss whether either Hale or Wright has provided independent motivation for a (...)
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  12.  49
    Michael Potter & Peter Sullivan (2005). What Is Wrong with Abstraction? Philosophia Mathematica 13 (2):187-193.
    We correct a misunderstanding by Hale and Wright of an objection we raised earlier to their abstractionist programme for rehabilitating logicism in the foundations of mathematics.
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  13.  28
    Michael Potter (2009). The Logic of the Tractatus. In Dov M. Gabbay & John Woods (eds.), Handbook of the History of Logic. Volume 5: From Russell to Church. North Holland 255--304.
    Describes some of the main features of the logic and metaphysics of Wittgenstein's Tractatus.
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  14. Michael Potter (2004). Set Theory and its Philosopy: A Critical Introduction. Oxford University Press Uk.
    Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart.Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set theory. (...)
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  15. Michael Potter (2002). Reason's Nearest Kin: Philosophies of Arithmetic From Kant to Carnap. Oxford University Press Uk.
    'This is an excellent book: informative, suggestive, and a genuine pleasure to read.' -William Demopoulos, British Journal for the Philosophy of ScienceReason's Nearest Kin is a critical examination of the most exciting period there has been in the philosophical study of the properties of the natural numbers, from the 1880s to the 1930s. Reassessing the brilliant innovations of Frege, Russell, Wittgenstein, and others, which transformed philosophy as well as our understanding of mathematics, Michael Potter places arithmetic at the interface between (...)
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  16.  68
    Michael Potter (1996). Taming the Infinite. [REVIEW] British Journal for the Philosophy of Science 47 (4):609-619.
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  17.  49
    Michael Potter (1998). Classical Arithmetic as Part of Intuitionistic Arithmetic. Grazer Philosophische Studien 55:127-41.
    Argues that classical arithmetic can be viewed as a proper part of intuitionistic arithmetic. Suggests that this largely neutralizes Dummett's argument for intuitionism in the case of arithmetic.
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  18.  48
    Michael Potter (2009). Review of Michael Morris, Routledge Philosophy Guidebook to Wittgenstein and the Tractatus. [REVIEW] Notre Dame Philosophical Reviews 2009 (8).
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  19. Michael Potter (2010). Introduction. In Michael Potter Tom Ricketts (ed.), The Cambridge Companion to Frege. Cambridge University Press
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  20.  47
    Michael Potter (2001). Was Gödel a Gödelian Platonist? Philosophia Mathematica 9 (3):331-346.
    del's appeal to mathematical intuition to ground our grasp of the axioms of set theory, is notorious. I extract from his writings an account of this form of intuition which distinguishes it from the metaphorical platonism of which Gödel is sometimes accused and brings out the similarities between Gödel's views and Dummett's.
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  21.  12
    Michael Potter (2013). Wittgenstein's Pre—Tractatus Manuscripts: A New Appraisal. In Peter Sullivan Michael Potter (ed.), Wittgenstein's Tractatus. History and Interpretation. OUP 11.
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  22. Michael K. Potter (2007). Michael Martin, Ed. The Cambridge Companion to Atheism Reviewed By. Philosophy in Review 27 (4):277-279.
  23.  29
    Michael Potter (1999). Intuition and Reflection in Arithmetic: Michael Potter. Aristotelian Society Supplementary Volume 73 (1):63–73.
    Classifies accounts of arithmetic into four sorts according to the resources they appeal to in constructing its subject matter.
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  24.  9
    Michael Potter (1993). Proof and Knowledge in Mathematics. Philosophical Books 34 (3):188-191.
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  25. Michael Potter & Timothy Smiley (2001). Abstraction by Recarving. Proceedings of the Aristotelian Society 101 (3):327-338.
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  26. Michael Potter (2005). Ramsey's Transcendental Argument. In Hallvard Lillehammer & D. H. Mellor (eds.), Ramsey's Legacy. Oxford University Press 71--82.
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  27.  5
    Michael Potter (1996). Review: Taming the Infinite. [REVIEW] British Journal for the Philosophy of Science 47 (4):609 - 619.
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  28.  2
    Michael K. Potter (2012). Erica Benner , Machiavelli's Ethics . Reviewed By. Philosophy in Review 32 (6):443-446.
  29.  2
    Michael Potter (2010). Georg Brun, Ulvi Doguoglu and Dominique Kuenzle, Eds. Epistemology and Emotions Reviewed By. Philosophy in Review 30 (3):161-164.
  30. Michael Potter (2007). What is the Problem of Mathematical Knowledge? In Michael Potter, Mary Leng & Alexander Paseau (eds.), Mathematical Knowledge.
    Suggests that the recent emphasis on Benacerraf's access problem locates the peculiarity of mathematical knowledge in the wrong place. Instead we should focus on the sense in which mathematical concepts are or might be "armchair concepts" – concepts about which non-trivial knowledge is obtainable a priori.
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  31. Michael Potter, A Guide to the Tractatus (First Draft).
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  32. Jens Kjeldsen & Michael K. Potter, Visual Argumentation in an Al Gore Keynote Presentation on Climate Change.
    The use of digital presentation tools such as PowerPoint is ubiquitous; however we still do not know much about the persuasiveness of these programs. Examining the use of visual analogy and visual chronology, in particular, this paper explores the use of visual argumentation in a Keynote presentation by Al Gore. It illustrates how images function as an integrated part of Gores reasoning.
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  33. Michael Potter (2010). Abstractionist Class Theory : Is There Any Such Thing? In T. J. Smiley, Jonathan Lear & Alex Oliver (eds.), The Force of Argument: Essays in Honor of Timothy Smiley. Routledge
    A discussion of the philosophical prospects for basing a neo-Fregean theory of classes on a principle that attempts to articulate the limitation-of-size conception.
     
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  34. Michael Potter (2017). Early Analytic Philosophy: From Frege to Ramsey. Routledge.
    In this book, Michael Potter offers a fresh and compelling portrait of the birth and first several decades of analytic philosophy, one of the most important periods in philosophy’s long history. He focuses on the period between the publication of Gottlob Frege’s _Begriffsschrift _in 1879 and Frank Ramsey’s death in 1930. Potter--one of the most influential writers on late 19 th and early 20 th century philosophy--presents a deep but accessible account of the break with Absolute Idealism and Neo-Kantianism, specifically, (...)
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  35. Michael Potter (1993). Infinite Coincidences and Inaccessible Truths. In Philosophy of Mathematics, Proceedings of the 15th International Wittgenstein Symposium. Hölder-Pichler-Tempsky
    Argues, contra Dummett, that the platonist need not be any more committed than the intuitionist to the notion that there are arithmetical truths in principle inaccessible to any finite intelligence.
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  36. Michael Potter (1999). I–Michael Potter. Aristotelian Society Supplementary Volume 73 (1):63-73.
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  37. Michael Potter (1993). Inaccessible Truths and Infinite Coincidences. In J. Czermak (ed.), Philosophy of Mathematics. Hölder-Pichler-Tempsky
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  38. Michael K. Potter (2010). James H. Fetzer, Render Unto Darwin: Philosophical Aspects of the Christian Right's Crusade Reviewed By. Philosophy in Review 29 (3):179-182.
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  39. Michael K. Potter (2009). James H. Fetzer, Render Unto Darwin: Philosophical Aspects of the Christian Right's Crusade Against Science. Philosophy in Review 29 (3):179.
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  40. Michael Potter (2013). Manuscripts: A New Appraisal. In Peter Sullivan Michael Potter (ed.), Wittgenstein's Tractatus. History and Interpretation. OUP 13.
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  41. Michael Potter (2007). Michael Martin, Ed. The Cambridge Companion to Atheism. [REVIEW] Philosophy in Review 27:277-279.
  42. Michael Potter (1993). Philosophy of Mathematics, Proceedings of the 15th International Wittgenstein Symposium. Hölder-Pichler-Tempsky.
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  43. Michael Potter & Timothy Smiley (2002). Recarving Content: Hale's Final Proposal. Proceedings of the Aristotelian Society 102 (3):301-304.
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  44. Michael Potter (1993). The Metalinguistic Perspective in Mathematics. Acta Analytica 11:79-86.
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  45. Michael Potter (2011). Wittgenstein's Notes on Logic. Oxford University Press Uk.
    Wittgenstein's philosophical career began in 1911 when he went to Cambridge to work with Russell. He compiled the Notes on Logic two years later as a kind of summary of the work he had done so far. Russell thought that they were 'as good as anything that has ever been done in logic', but he had Wittgenstein himself to explain them to him. Without the benefit of Wittgenstein's explanations, most later scholars have preferred to treat the Notes solely as an (...)
     
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  46. Michael Potter (2011). Wittgenstein on Mathematics. In Marie McGinn & Oskari Kuusela (eds.), The Oxford Handbook of Wittgenstein. OUP Oxford
     
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  47. Tom Ricketts & Michael Potter (eds.) (2010). The Cambridge Companion to Frege. Cambridge University Press.
    Gottlob Frege was unquestionably one of the most important philosophers of all time. He trained as a mathematician, and his work in philosophy started as an attempt to provide an explanation of the truths of arithmetic, but in the course of this attempt he not only founded modern logic but also had to address fundamental questions in the philosophy of language and philosophical logic. Frege is generally seen as one of the fathers of the analytic method, which dominated philosophy in (...)
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  48. Tom Ricketts & Michael Potter (eds.) (2012). The Cambridge Companion to Frege. Cambridge University Press.
    Gottlob Frege was unquestionably one of the most important philosophers of all time. He trained as a mathematician, and his work in philosophy started as an attempt to provide an explanation of the truths of arithmetic, but in the course of this attempt he not only founded modern logic but also had to address fundamental questions in the philosophy of language and philosophical logic. Frege is generally seen as one of the fathers of the analytic method, which dominated philosophy in (...)
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  49.  18
    Peter M. Sullivan & Michael D. Potter (eds.) (2013). Wittgenstein's Tractatus: History and Interpretation. Oxford University Press.
    These new studies of Wittgenstein's Tractatus represent a significant step beyond recent polemical debate.
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