4 found
Order:
See also
Alan L. T. Paterson
University of Colorado, Boulder
  1. Does Hegel Have Anything to Say to Modern Mathematical Philosophy?Alan L. T. Paterson - 2002 - Idealistic Studies 32 (2):143-158.
    This paper argues that Hegel has much to say to modern mathematical philosophy, although the Hegelian perspective needs to be substantially developed to incorporate within it the extensive advances in post-Hegelian mathematics and its logic. Key to that perspective is the self-referential character of the fundamental concepts of philosophy. The Hegelian approach provides a framework for answering the philosophical problems, discussed by Kurt Gödel in his paper on Bertrand Russell, which arise out of the existence in mathematics of self-referential, non-constructive (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  2.  95
    Towards a Hegelian Philosophy of Mathematics.Alan L. T. Paterson - 1997 - Idealistic Studies 27 (1/2):1-10.
    There is at present no intelligible account of what the statements of pure mathematics are about. The philosophy of mathematics is in a mess! Marvin J. Greenberg.
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  3.  12
    G. W. F. Hegel: Geometrical Studies Introduction.Alan L. T. Paterson - 2008 - Hegel Bulletin 29 (1-2):118-131.
    Throughout his life, Hegel showed great interest in physics and mathematics. His most sustained, surviving treatment of Euclidean geometry is his early work ‘Geometrische Studien’, which he completed while he was a private tutor [Hoffmeister] in Frankfurt, shortly before leaving for Jena to join Schelling.GSis not easy reading, but despite that, it seems to me that Hegel presents in it a remarkably erudite as well as interesting and insightful critique of geometry. He investigates some of the themes from the foundations (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  4.  66
    The Successor Function and Induction Principle in a Hegelian Philosophy of Mathematics.Alan L. T. Paterson - 2000 - Idealistic Studies 30 (1):25-60.