Stewart Shapiro

Stewart Shapiro ( born June 15, 1951 in USA) is an American scientist. He is O'Donnell Professor of Philosophy at the Ohio State University and Professorial Fellow at the Ark Centre of the University of St. Andrews.

Life

He has held a visiting professorship at the University of St Andrews in Scotland. He works on various areas of the ontology and the philosophy of mathematics. He is known as a representative of a mathematical structuralism - a position which does not hold substantial mathematical objects and their intrinsic properties of the object of mathematics, but the mathematical structures, the individual objects occupy only certain locations within which.

He studied Mathematics and Philosophy at Case Western Reserve University in 1973. He received his MA in mathematics at the University at Buffalo, The State University of New York in 1975. Three years later he obtained a Ph.D. there ( Doctoral degree with distinction ).

Publications

  • Philosophy of Mathematics: Structure and Ontology. Oxford University Press, 1997. ISBN 0-19-513930-5
  • Thinking about Mathematics: The Philosophy of Mathematics. Oxford University Press, 2000. ISBN 0-19-289306-8
  • Foundations without Foundationalism: A Case for Second -Order Logic. Oxford University Press, 1991. ISBN 0-19-853391-8
  • Vagueness in Context. Oxford University Press, 2006. ISBN 0-19-928039-8

Editorial Boards

  • The Oxford Handbook of Philosophy of Mathematics and Logic. Oxford University Press, 2005. ISBN 0-19-514877-0
  • Special issue of " Philosophia Mathematica ", devoted to structuralism. Posts by: P. Benacerraf, G. Hellman, B. Hale, C. Parsons, M. Reznik, S. Shapiro,
  • " The limits of logic: Second order logic and the Skolem paradox ", The International research library of philosophy, Dartmouth Publishing Company,
  • Intensional Mathematics, Studies in Logic and the Foundations of Mathematics 113, Amsterdam, North Holland Publishing Company, 1985 posted by:. S. Shapiro, J. Myhill, ND Goodman, A. Scedrov, V. Lifschitz, R. Flagg, R. Smullyan.
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