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

Foundations and Methods from Mathematics to Neuroscience
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Edited by Colleen E. Crangle, Adolfo García de la Sienra, and Helen E. Longino

Distributed for Center for the Study of Language and Information

350 pages | 6 x 9
Cloth $70.00 ISBN: 9781575867441 Published May 2015
Paper $35.00 ISBN: 9781575867458 Published April 2015
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’s 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.
Contents

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

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