Philosophy of Mathematics

• 18 Unconventional Essays on the Nature of Mathematics, ed. by Reuben Hersh. Reviewed by William J. Satzer
  
• The Advent of the Algorithm, by David Berlinski. Reviewed by Allen B. Downey
  
• Angles of Reflection: Logic and Mother's Love, by Joan Richards. Reviewed by Libby Krussel
  
• Conversations with a Mathematician, by Gregory J. Chaitin. Reviewed by Mark Johnson
  
• The Divine Challenge, by John Byl. Reviewed by Russell W. Howell
  
• Doing Mathematics, by Martin H. Krieger. Reviewed by David P. Roberts
  
• Drawbridge Up: Mathematics — A Cultural Anathema, by Hans Magnus Enzensberger. Reviewed by Agnes Tuska
  
• Emblems of Mind, by Edward Rothstein. Reviewed by Shai Simonson
  
• Essays in Constructive Mathematics, by Harold M. Edwards. Reviewed by Bonnie Shulman
  
• The Essential Turing, ed. by B. Jack Copeland. Briefly noted
  
• Experimentation in Mathematics: Computational Paths to Discovery, by Jonathan Borwein, David Bailey, and Roland Girgensohn. Reviewed by David P. Roberts
  
• An Introduction to Probability and Inductive Logic, by Ian Hacking. Reviewed by Ramachandran Bharath
  
• From Kant to Hilbert: a Source Book in the Foundations of Mathematics, ed by William Ewald. Briefly noted.
  
• Gnomes in the Fog, by Dennis E. Hesseling. Reviewed by Bonnie Shulman
  
• Gödel's Theorem: An Incomplete Guide to its Use and Abuse, by Torkel Franzén. Reviewed by Don Vestal
  
• Incompleteness: The Proof and Paradox of Kurt Gödel, by Rebecca Goldstein. Reviewed by John Martin
  
• The Little Book of Time, by Klaus Mainzer. Briefly noted
  
• The Math Gene: How Mathematical Thinking Evolved and Why Numbers Are Like Gossip, by Keith Devlin. Reviewed by Carl D. Mueller
  
• Mathematics and the Divine, ed. by T. Koetsier and L. Bergmans. Reviewed by Calvin Jongsma
  
• Mathematics by Experiment: Plausible Reasoning in the 21st Century, by Jonathan Borwein and David Bailey. Reviewed by David P. Roberts
  
• Mathematics in a Postmodern Age: A Christian Perspective, ed. by Russell W. Howell and W. James Bradley. Reviewed by Bonnie Gold
  
• Meta Math! The Search for Omega, by Gregory Chaitin. Reviewed by Marion Cohen
  
• Musings of the Masters: An Anthology of Mathematical Reflections, ed. by Raymond G. Ayoub. Reviewed by Annalisa Crannell
  
• On Numbers and Games, by John Conway. Second Edition. Briefly noted.
  
• The One True Platonic Heaven: a Scientific Fiction of the Limits of Knowledge, by John L. Casti. Reviewed by Jeremy Case
  
• Philosophies of Mathematics, by Alexander George and Daniel J. Velleman. Reviewed by Bonnie Gold
  
• Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjecture, by David M. Bressoud. Reviewed by Michele Intermont
  
• The Provenance of Pure Reason: Essays in the Philosophy of Mathematics and Its History, by William Tait. Reviewed by Bonnie Gold
  
• The Quest for Unity, by Éttienne Klein and Marc Lachièze-Rey. Briefly noted.
  
• Science in Translation: Movements of Knowledge Through Cultures and Time, by Scott L. Montgomery. Reviewed by William R. Everdell
  
• The Search for Mathematical Roots, 1870-1940: Logics, Set Theories and the Foundations of Mathematics from Cantor through Russell to Gödel, by I. Grattan-Guinness. Reviewed by Marvin Schaefer
  
• Squaring the Circle: The War Between Hobbes and Wallis, by Douglas M. Jesseph. Reviewed by David Graves
  
• The Structural Theory of Probability: New Ideas from Computer Science on the Ancient Problem of Probability Interpretation, by Paolo Rocchi. Briefly noted
  
• Towards a Philosophy of Real Mathematics, by David Corfield. Reviewed by Dennis Lomas
  
• What is Mathematics, Really?, by Reuben Hersh. Reviewed by Fernando Q. Gouvêa
  
• Where Mathematics Comes From: How the Embodied Mind Brings Mathematics Into Being, by George Lakoff and Rafael E. Núñez. Reviewed by Bonnie Gold