On Meaningful Scientific Laws

  • Jean-Claude Falmagne
  • Christopher Doble
Book

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Jean-Claude Falmagne, Christopher Doble
    Pages 1-9
  3. Jean-Claude Falmagne, Christopher Doble
    Pages 11-26
  4. Jean-Claude Falmagne, Christopher Doble
    Pages 27-46
  5. Jean-Claude Falmagne, Christopher Doble
    Pages 47-57
  6. Jean-Claude Falmagne, Christopher Doble
    Pages 59-78
  7. Jean-Claude Falmagne, Christopher Doble
    Pages 79-84
  8. Jean-Claude Falmagne, Christopher Doble
    Pages 85-103
  9. Jean-Claude Falmagne, Christopher Doble
    Pages 105-135
  10. Jean-Claude Falmagne, Christopher Doble
    Pages 137-154
  11. Jean-Claude Falmagne, Christopher Doble
    Pages 155-157
  12. Back Matter
    Pages 159-170

About this book

Introduction

The authors describe systematic methods for uncovering scientific laws a priori, on the basis of intuition, or "gedanken experiments". Mathematical expressions of scientific laws are, by convention, constrained by the rule that their form must be invariant with changes of the units of their variables. This constraint makes it possible to narrow down the possible forms of the laws. It is closely related to, but different from, dimensional analysis. It is a mathematical book, largely based on solving functional equations. In fact, one chapter is an introduction to the theory of functional equations.

Keywords

abstract axioms dimensional analysis functional equations invariance under transformations mathematical representations meaningfulness measurement scientific code

Authors and affiliations

  • Jean-Claude Falmagne
    • 1
  • Christopher Doble
    • 2
  1. 1.Dept. Cognitive SciencesUniversity of California, Irvine School of Social SciencesIrvineUSA
  2. 2.MHE/ALEKS CorporationIrvineUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-46098-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2015
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Computer Science
  • Print ISBN 978-3-662-46097-9
  • Online ISBN 978-3-662-46098-6
  • About this book
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