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Michael Potter [51]Michael K. Potter [4]
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Michael Potter
Cambridge University
Michael K. Potter
University of Windsor
  1. Set Theory and its Philosophy: A Critical Introduction.Michael Potter - 2004 - 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.  6
    Parts of Classes.Michael Potter - 1993 - Philosophical Quarterly 43 (172):362-366.
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  3.  53
    Reason’s Nearest Kin.Michael Potter - 2000 - 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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  4.  50
    Wittgenstein's Notes on Logic.Michael Potter - 2008 - 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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  5.  16
    Foundations Without Foundationalism: A Case for Second-Order Logic.Michael Potter - 1994 - Philosophical Quarterly 44 (174):127-129.
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  6. Mathematical Knowledge.Mary Leng, Alexander Paseau & Michael Potter (eds.) - 2007 - 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.
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  7.  52
    The Cambridge Companion to Frege.Michael Potter, Joan Weiner, Warren Goldfarb, Peter Sullivan, Alex Oliver & Thomas Ricketts (eds.) - 2010 - Cambridge University Press.
    Gottlob Freg 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 languageand philosophical logic. He is generally seen as one of the fathers of the analytic method, which dominated philosophy in English-speaking (...)
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  8.  6
    Reason’s Nearest Kin.Michael Potter - 2000 - History and Philosophy of Logic 21 (3):231-234.
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  9.  68
    Abstraction by Recarving.Michael Potter & Timothy Smiley - 2001 - 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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  10.  64
    The Logic of the Tractatus.Michael Potter - 2009 - In Dov M. Gabbay & John Woods (eds.), Handbook of the History of Logic. Volume 5: From Russell to Church. North Holland. pp. 255--304.
    Describes some of the main features of the logic and metaphysics of Wittgenstein's Tractatus.
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  11.  10
    Reason's Nearest Kin. Philosophies of Arithmetic From Kant to Carnap.Michael Potter - 2002 - Erkenntnis 56 (2):264-268.
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  12.  78
    Wittgenstein's Tractatus: History and Interpretation.Peter Sullivan & Michael Potter (eds.) - 2013 - Oxford University Press.
    These new studies of Wittgenstein's Tractatus represent a significant step beyond recent polemical debate.
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  13.  11
    Abstraction by Recarving.Michael Potter & Timothy Smiley - 2001 - Proceedings of the Aristotelian Society 101 (3):327-338.
  14.  20
    The Birth of Analytic Philosophy.Michael Potter - 2011 - Sententiae 24 (1):40-77.
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  15.  90
    Hale on Caesar.Peter Sullivan & Michael Potter - 1997 - 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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  16.  47
    Recarving Content: Hale's Final Proposal.Michael Potter & Timothy Smiley - 2002 - 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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  17.  71
    The Birth of Analytic Philosophy.Michael Potter - 2008 - In Dermot Moran (ed.), The Routledge Companion to Twentieth Century Philosophy. Routledge. pp. 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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  18.  22
    Wittgenstein's Pre—Tractatus Manuscripts: A New Appraisal.Michael Potter - 2013 - In Peter Sullivan Michael Potter (ed.), Wittgenstein's Tractatus. History and Interpretation. Oxford University Press. pp. 13-39.
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  19.  6
    Understanding the Infinite.Michael Potter - 1996 - British Journal for the Philosophy of Science 47 (4):609-619.
  20. What Is Wrong with Abstraction?Michael Potter & Peter Sullivan - 2005 - 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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  21.  94
    Was Gödel a Gödelian Platonist?Michael Potter - 2001 - 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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  22.  8
    Recarving Content: Hale's Final Proposal.Michael Potter & Timothy Smiley - 2002 - Proceedings of the Aristotelian Society 102 (3):301-304.
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  23. Elucidating the Tractatus: Wittgenstein's Early Philosophy of Logic and Language – Marie McGinn. [REVIEW]Michael Potter - 2010 - Philosophical Quarterly 60 (238):192-194.
  24.  16
    Intuition and Reflection in Arithmetic.Michael Potter & Bob Hale - 1999 - Proceedings of the Aristotelian Society, Supplementary Volumes( 73:63-98.
    [Michael Potter] If arithmetic is not analytic in Kant's sense, what is its subject matter? Answers to this question can be classified into four sorts according as they posit logic, experience, thought or the world as the source, but in each case we need to appeal to some further process if we are to generate a structure rich enough to represent arithmetic as standardly practised. I speculate that this further process is our reflection on the subject matter already obtained. This (...)
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  25. Infinite Coincidences and Inaccessible Truths.Michael Potter - 1993 - In Philosophy of Mathematics, Proceedings of the 15th International Wittgenstein Symposium. Hölder-Pichler-Tempsky. pp. 307-313.
    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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  26. What is the Problem of Mathematical Knowledge?Michael Potter - 2007 - 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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  27.  12
    Visual Argumentation in an Al Gore Keynote Presentation on Climate Change.Jens Kjeldsen & Michael K. Potter - unknown
    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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  28. Abstractionist Class Theory : Is There Any Such Thing?Michael Potter - 2010 - 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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  29. A Guide to the Tractatus (First Draft).Michael Potter - manuscript
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  30.  80
    Classical Arithmetic as Part of Intuitionistic Arithmetic.Michael Potter - 1998 - Grazer Philosophische Studien 55 (1):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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  31.  8
    Classical Arithmetic is Part of Intuitionistic Arithmetic.Michael Potter - 1998 - Grazer Philosophische Studien 55 (1):127-141.
    One of Michael Dummett's most striking contributions to the philosophy of mathematics is an argument to show that the correct logic to apply in mathematical reasoning is not classical but intuitionistic. In this article I wish to cast doubt on Dummett's conclusion by outlining an alternative, motivated by consideration of a well-known result of Kurt Gödel, to the standard view of the relationship between classical and intuitionistic arithmetic. I shall suggest that it is hard to find a perspective from which (...)
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  32.  25
    The Rise of Analytic Philosophy 1879-1930: From Frege to Ramsey.Michael Potter - forthcoming - 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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  33. Early Analytic Philosophy: From Frege to Ramsey.Michael Potter - 2018 - 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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  34.  21
    Erica Benner , Machiavelli's Ethics . Reviewed By.Michael K. Potter - 2012 - Philosophy in Review 32 (6):443-446.
  35.  7
    Georg Brun, Ulvi Doguoglu and Dominique Kuenzle, Eds. Epistemology and Emotions Reviewed By.Michael Potter - 2010 - Philosophy in Review 30 (3):161-164.
  36. Introduction.Michael Potter - 2010 - In Michael Potter Tom Ricketts (ed.), The Cambridge Companion to Frege. Cambridge University Press.
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  37.  50
    Intuition and Reflection in Arithmetic: Michael Potter.Michael Potter - 1999 - 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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  38.  15
    Intuition and Reflection in Arithmetic: Michael Potter.Michael Potter - 1999 - Supplement to the Proceedings of the Aristotelian Society 73 (1):63-73.
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  39.  19
    Intuitive and Regressive Justifications†.Michael Potter - 2020 - Philosophia Mathematica 28 (3):385-394.
    In his recent book, Quine, New Foundations, and the Philosophy of Set Theory, Sean Morris attempts to rehabilitate Quine’s NF as a possible foundation for mathematics. I explain why he does not succeed.
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  40.  5
    I–Michael Potter.Michael Potter - 1999 - Aristotelian Society Supplementary Volume 73 (1):63-73.
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  41. Inaccessible Truths and Infinite Coincidences.Michael Potter - 1993 - In J. Czermak (ed.), Philosophy of Mathematics. Hölder-Pichler-Tempsky.
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  42. James H. Fetzer, Render Unto Darwin: Philosophical Aspects of the Christian Right's Crusade Reviewed By.Michael K. Potter - 2009 - Philosophy in Review 29 (3):179-182.
     
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  43. Manuscripts: A New Appraisal.Michael Potter - 2013 - In Peter Sullivan Michael Potter (ed.), Wittgenstein's Tractatus. History and Interpretation. Oxford University Press. pp. 13.
     
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  44. Michael Martin, Ed. The Cambridge Companion to Atheism Reviewed By.Michael K. Potter - 2007 - Philosophy in Review 27 (4):277-279.
  45. Michael Martin, Ed. The Cambridge Companion to Atheism. [REVIEW]Michael Potter - 2007 - Philosophy in Review 27:277-279.
  46.  22
    Proof and Knowledge in Mathematics.Michael Potter - 1993 - Philosophical Books 34 (3):188-191.
  47. Propositions in Wittgenstein and Ramsey.Michael Potter - 2019 - In Gabriele M. Mras, Paul Weingartner & Bernhard Ritter (eds.), Philosophy of Logic and Mathematics. Berlin, Boston: De Gruyter. pp. 375-383.
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  48.  1
    Propositions in Wittgenstein and Ramsey.Michael Potter - 2019 - In Gabriele M. Mras, Paul Weingartner & Bernhard Ritter (eds.), Philosophy of Logic and Mathematics: Proceedings of the 41st International Ludwig Wittgenstein Symposium. De Gruyter. pp. 375-384.
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  49. Philosophy of Mathematics, Proceedings of the 15th International Wittgenstein Symposium.Michael Potter - 1993 - Hölder-Pichler-Tempsky.
  50. Taming the Infinite. [REVIEW]Michael Potter - 1996 - British Journal for the Philosophy of Science 47 (4):609-619.
    A critique of Shaughan Lavine's attempt in /Understanding the Infinite/ to reduce talk about the infinite to finitely comprehensible terms.
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