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Foundations and Methods from Mathematics to Neuroscience cover

Foundations and Methods from Mathematics to Neuroscience

Essays Inspired by Patrick Suppes

edited by Colleen E. Crangle, Adolfo García de la Sienra, and Helen E. Longino

During his long and continuing scholarly career, Patrick Suppes has contributed significantly both to the sciences and to scientific philosophies. In this volume, an international group of Suppes's colleagues, collaborators, and students seeks to build upon Suppes' insights. Each of their essays is accompanied by a response from Suppes himself, which together create a uniquely engaging dialogue. Suppes and his peers explore a diverse array of topics including the relationship between science and philosophy; the philosophy of physics; problems in the foundations of mathematics; theory of measurement, decision theory, and probability; the foundations of economics and political theory; psychology, language, and the philosophy of language; Suppes's most recent research in neurobiology; and the alignment (or misalignment) of method and policy.

Colleen E. Crangle is a former student of Patrick Suppes and a long-time collaborator at Stanford University. They are coauthors of Language and Learning for Robots. Adolfo García de la Sienra is professor and chairman in the Institute of Philosophy of Universidad Veracruzana, Mexico. He is a former student of Patrick Suppes. Helen E. Longino is the clarence Irving Lewis Professor in the Department of Philosophy at Stanford University. She is the author of Science as Social Knowledge and The Fate of Knowledge.


  • Contributors
  • Foundations and Methods from Mathematics to Neuroscience: Essays Inspired by Patrick Suppes
    Foreword by Helen E. Longino
  • An Overview: Suppes as Scientific Philosopher
    Michael Friedman
  • I Foundations of Mathematics
  • 1 What Numbers Are
    Jens Erik Fenstad
  • 2 The “Axiom” of Choice is not an Axiom of Choice
    Jaako Hintakka
  • 3 Invariant Maximality and Incompleteness
    Harvey M. Friedman
  • II Philosophy of Science
  • 4 The Structure, the Whole Structure, but not Nothing but the Structure
    Thomas Ryckman
  • 5 Models of Data and Inverse Methods
    Paul Humphreys
  • 6 Representational Measurement in Economics
    Adolfo García de la Sienra
  • 7 Imprecise Probabilities in Quantum Mechanics
    Stephan Hartmann
  • III Mathematical Representation (across disciplines)
  • 8 The Incompleteness Of Hölder's Theorem During Most of The 20th Century
    R. Duncan Luce
  • 9 The Economic System as Trade in Information
    Kenneth J. Arrow
  • 10 On a Class of Meaningful Permutable Laws
    Jean-Claude Falmange
  • Belief as Qualitative Probability
    Hannes Leitgeb
  • IV Language, Mind, and Learning Theory
  • 12 Learning to Signal with Two Kinds of Trial and Error
    Brian Skyrms
  • 13 From Rousseau to Suppes: On Diaries and Probabilistic Grammars
    Willem J. M. Levelt
  • 14 Suppes and Husserl
    Dafinn Føllesdal
  • 15 Mirroring and Moral Psychology
    Russell Hardin
  • V Neuroscience
  • 16 Response Selection Using Neural Phase Oscillators
    José Acacio de Barros and Gary Oas
  • 17 Using the Scalp Electric Field to Recognize Brainwaves
    Claudio G. Carvalhaes
  • 18 Similarity Trees Derived from Pairwise Classifications
    Marcos Perreau-Guimaraes
  • 19 Representation, Isomorphism and Invariance in the Study of Language and the Brain
    Colleen E. Crangle
  • IV Science in Practice
  • 20 The Psychiatrist's Dilemmas
    Anne Fagot-Largeault
  • 21 Illusions of Memory
    Elizabeth F. Loftus
  • 22 EBP: Where Rigor Matters
    Nancy Cartwright and Alexandre Marcellesi
  • V Commentaries
  • 23 Commentaries
    Patrick Suppes

March 2015

ISBN (Paperback): 1575867451 (9781575867458)
ISBN (Cloth): 1575867443 (9781575867441)

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