1. A Universal Approach to Self-Referential Paradoxes, Incompleteness and Fixed Points.Noson S. Yanofsky - 2003 - Bulletin of Symbolic Logic 9 (3):362-386.
    Following F. William Lawvere, we show that many self-referential paradoxes, incompleteness theorems and fixed point theorems fall out of the same simple scheme. We demonstrate these similarities by showing how this simple scheme encompasses the semantic paradoxes, and how they arise as diagonal arguments and fixed point theorems in logic, computability theory, complexity theory and formal language theory.
    Direct download (13 more)  
    Export citation  
    Bookmark   18 citations  
  2.  44
    The Role of Symmetry in Mathematics.Noson S. Yanofsky & Mark Zelcer - 2017 - Foundations of Science 22 (3):495-515.
    Over the past few decades the notion of symmetry has played a major role in physics and in the philosophy of physics. Philosophers have used symmetry to discuss the ontology and seeming objectivity of the laws of physics. We introduce several notions of symmetry in mathematics and explain how they can also be used in resolving different problems in the philosophy of mathematics. We use symmetry to discuss the objectivity of mathematics, the role of mathematical objects, the unreasonable effectiveness of (...)
    Direct download (4 more)  
    Export citation  
  3.  12
    Probably Approximately Correct: Nature's Algorithms for Learning and Prospering in a Complex World.Noson S. Yanofsky - 2015 - Common Knowledge 21 (2):340-340.
    No categories
    Direct download (3 more)  
    Export citation