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Charles Parsons - Philosophy of Mathematics in the Twentieth Century Selected Essays [2014][A]

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 							Product Details
  Book Title: Philosophy
of Mathematics in the Twentieth Century: Selected Essays	 	
  Book Author:  Charles Parsons (Author) 
   Hardcover: 368 pages
   Publisher: Harvard
University Press (March 3, 2014)
   Language: English
   ISBN-10: 0674728068
   ISBN-13:
978-0674728066
  
  Book Description
  Publication Date: March 3, 2014
  In this illuminating collection, Charles Parsons surveys
the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the course of the
past century.
  Parsons begins with a discussion of the Kantian legacy in the work of L. E. J. Brouwer, David
Hilbert, and Paul Bernays, shedding light on how Bernays revised his philosophy after his collaboration with Hilbert. He
considers Hermann Weyl's idea of a "vicious circle" in the foundations of mathematics, a radical claim that elicited
many challenges. Turning to Kurt Gödel, whose incompleteness theorem transformed debate on the foundations of
mathematics and brought mathematical logic to maturity, Parsons discusses his essay on Bertrand Russell's mathematical
logic--Gödel's first mature philosophical statement and an avowal of his Platonistic view.
  Philosophy of
Mathematics in the Twentieth Century insightfully treats the contributions of figures the author knew personally: W. V.
Quine, Hilary Putnam, Hao Wang, and William Tait. Quine's early work on ontology is explored, as is his nominalistic
view of predication and his use of the genetic method of explanation in the late work The Roots of Reference. Parsons
attempts to tease out Putnam's views on existence and ontology, especially in relation to logic and mathematics. Wang's
contributions to subjects ranging from the concept of set, minds, and machines to the interpretation of Gödel are
examined, as are Tait's axiomatic conception of mathematics, his minimalist realism, and his thoughts on historical
figures.
  
  Reviews
  Parsons is a much admired and highly respected philosopher of mathematics and logic, well known for his thoughtful
and careful reflections on both the great historical figures and on work of the previous century. He is also an astute
commentator on the current literature, engaging the contemporary debates and offering illuminating insights about its
content and direction. This volume offers a unique opportunity for those not fortunate enough to have attended classes
of Parsons’s to form some idea of what such an experience would be like. (William
Demopoulos, University of Western Ontario)
  
  This is a truly superb book. Parsons is quite
possibly the most distinguished writer on philosophy of mathematics now working and certainly the most careful and
probing. These essays examine a rather wide range of historical opinion on mathematical matters, both with an eye to
demanding more careful interpretations and formulations from important writers such as Kant or Gödel while remaining
sympathetic to their overall philosophical ambitions. Parsons’s treatments are unsurpassed. (Mark Wilson, University of Pittsburgh)
  
  About the Author
  Charles Parsons is Edgar
Pierce Professor of Philosophy, Emeritus, at Harvard University. 						

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