Stanford: Center for the Study of Language and Information. — 2001. — 200 p. ISBN10: 1575863332; ISBN13: 978-1575863337.
A fundamental reason for using formal methods in the philosophy of science is the desirability of having a fixed frame of reference that may be used to organize the variety of doctrines at hand. This book--Patrick Suppes's major work, and the result of several decades of research--examines how set-theoretical methods provide such a framework, covering issues of axiomatic method, representation, invariance, probability, mechanics, and language, including research on brain-wave representations of words and sentences. This is a groundbreaking, essential text from a distinguished philosopher.
Axiomatic Definition of Theories
Theory of Isomorphic Representation
Invariance
Representations of Probability
Representations of Space and Time
Representations in Mechanics
Representations of Language
Epilogue: Representation and Reduction in Science
Summary Table of Representation and Invariance Theorems by Chapter
Author Index