The Cartesian Cafe

Justin Clarke-Doane | Mathematics, Reality, and Morality


Listen Later

Justin Clarke-Doane is a professor of philosophy at Columbia University, whose interests span metaethics, epistemology, and the philosophy of logic & mathematics.

In this thought provoking-discussion, Justin and I go deep into topics that are typically neglected by most mathematicians and scientists, namely the philosophy of mathematics and morality. Justin has contributed to both these areas via his book Morality and Mathematics, which takes the view that the standard position of being both a mathematical realist and moral antirealist is incoherent. Perhaps the most novel aspect of Justin's work is the treatment of the philosophy of mathematics and morality side-by-side, showing how these two topics, which are usually thought of as being unrelated, in fact have strong analogies. Along the way, we discuss many other foundational topics in epistemology and ethics, with elements of set theory, metaphysics, and logic sprinkled in.

Patreon (bonus materials + video chat): https://www.patreon.com/timothynguyen

Part I. Introduction

  • 00:00 : Preview
  • 01:56 : Naturalism & Mathematical vs Moral Realism
  • 05:34 : Outline of the Discussion
  • Part II. Philosophy of Mathematics

    • 13:25 : Mathematical Realism
    • 18:36 : The Reality of Numbers
    • 27:58 : Anti-Realist Positions in Mathematics
    • 41:49 : Fictionalism in Mathematics
    • 44:06 : Distinguishing Metaphysics from Epistemology
    • 45:39 : The Role of Naturalism and Fictionalism
    • Part III. Philosophy of Morality (vs Mathematics)

      • 50:24 : Moral Realism and Anti-Realism
      • 58:31 : Analogies Between Mathematical and Moral Realism
      • 01:05:30 : Kant's Constructivism and Ethical Contextualism
      • 01:10:40 : Error Theory in Ethics
      • 01:16:02 : Mathematical Realism and Moral Anti-Realism
      • 01:17:22 : Contextualism and Moral Realism
      • Part IV. Select Topics from Justin's Book

        • 01:19:11 : Justification and Self-Evidence
        • 01:21:24 : The Practice of Axiomatization: Mathematics vs Ethics
        • 01:24:51 : Pushback: Is there really controversy in math?
        • 01:30:24 : Justification and Belief: Quinean Empiricism and Harman's Thesis
        • 01:41:44 : Observations, Explanations, and Moral Facts
        • 01:48:41 : Supervenience and High-Level Descriptions
        • 02:00:43 : Justification vs Truth: Reliability Challenge in Mathematics and Morality
        • 02:03:53 : 2+2 not equaling 4: Accidental Truth vs Truth per se
        • 02:13:10 : Pluralism in Mathematics and Ethics
        • 02:31:27 : Concluding Thoughts
        • 02:32:49 : Correction: "relativism" should be "realism"
        • Further reading:

          Justin Clarke-Doane. Morality and Mathematics.

           

          X: @iamtimnguyen

           

          Webpage: http://www.timothynguyen.org

          ...more
          View all episodesView all episodes
          Download on the App Store

          The Cartesian CafeBy Timothy Nguyen

          • 4.7
          • 4.7
          • 4.7
          • 4.7
          • 4.7

          4.7

          51 ratings


          More shows like The Cartesian Cafe

          View all
          StarTalk Radio by Neil deGrasse Tyson

          StarTalk Radio

          13,994 Listeners

          The Daily by The New York Times

          The Daily

          112,758 Listeners

          Our Opinions Are Correct by Our Opinions Are Correct

          Our Opinions Are Correct

          379 Listeners

          Sean Carroll's Mindscape: Science, Society, Philosophy, Culture, Arts, and Ideas by Sean Carroll | Wondery

          Sean Carroll's Mindscape: Science, Society, Philosophy, Culture, Arts, and Ideas

          4,097 Listeners

          Theories of Everything with Curt Jaimungal by Theories of Everything

          Theories of Everything with Curt Jaimungal

          35 Listeners

          The Art of Mathematics by Carol Jacoby

          The Art of Mathematics

          21 Listeners

          The Ezra Klein Show by New York Times Opinion

          The Ezra Klein Show

          14,859 Listeners

          The Joy of Why by Steven Strogatz, Janna Levin and Quanta Magazine

          The Joy of Why

          424 Listeners

          Sherlock Holmes Short Stories by NOISER

          Sherlock Holmes Short Stories

          557 Listeners