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Selected Papers in Logic and Foundations, Didactics, Economics

  • Authors
  • Karl Menger

Part of the Vienna Circle Collection book series (VICC, volume 10)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Introduction

    1. Karl Menger
      Pages 1-7
  3. Paper Introducing Logical Tolerance

    1. Front Matter
      Pages 9-9
    2. Karl Menger
      Pages 11-16
    3. Karl Menger
      Pages 17-45
    4. Karl Menger
      Pages 46-58
  4. Opuscula Logica

  5. Fundamental Concepts in Pure and Applied Mathematics

    1. Front Matter
      Pages 103-103
    2. Karl Menger
      Pages 105-135
    3. Karl Menger
      Pages 144-152
    4. Karl Menger
      Pages 153-158
  6. Didactics of Mathematics

    1. Front Matter
      Pages 159-159
    2. Karl Menger
      Pages 161-162
    3. Karl Menger
      Pages 174-184
    4. Herbert J. Curtis, Karl Menger
      Pages 185-188
    5. Karl Menger
      Pages 199-204
  7. Philosophical Ramifications of some Geometric Ideas

    1. Front Matter
      Pages 205-205
    2. Karl Menger
      Pages 207-216
    3. Karl Menger
      Pages 217-219
    4. Karl Menger
      Pages 220-224
  8. L. E. J. Brouwer

    1. Front Matter
      Pages 235-235
    2. Karl Menger
      Pages 237-255
  9. Economics. Meta-Economics

    1. Front Matter
      Pages 257-257
    2. Karl Menger
      Pages 259-278
  10. Gulliver’s Interest in Mathematics

    1. Front Matter
      Pages 303-303
    2. Karl Menger
      Pages 320-323
  11. Back Matter
    Pages 324-344

About this book

Introduction

This volume brings together those papers of mine which may be of interest not only to various specialists but also to philosophers. Many of my writings in mathematics were motivated by epistemological considerations; some papers originated in the critique of certain views that at one time dominated the discussions of the Vienna Cirele; others grew out of problems in teaching fundamental ideas of mathematics; sti II others were occasioned by personal relations with economists. Hence a wide range of subjects will be discussed: epistemology, logic, basic concepts of pure and applied mathematics, philosophical ideas resulting from geometric studies, mathematical didactics and, finally, economics. The papers also span a period of more than fifty years. What unifies the various parts of the book is the spirit of searching for the elarification of basic concepts and methods and of articulating hidden ideas and tacit procedures. Part 1 ineludes papers published about 1930 which expound an idea that Carnap, after a short period of opposition in the Cirele, fully adopted ; and, under the name "Princip/e of To/erance", he eloquently formulated it in great generality in his book, Logica/ Syntax of Language (1934), through which it was widely disseminated. "The New Logic" in Chapter 1 furthermore ineludes the first report (I932) to a larger public of Godel's epochal discovery presented among the great logic results of ali time. Chapter 2 is a translation of an often quoted 1930 paper presenting a detailed exposition and critique of intuitionism.

Keywords

Ludwig Wittgenstein Vienna algebra bibliography concept design education foundation logic mathematics media structure tolerance

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-9347-1
  • Copyright Information Springer Science+Business Media B.V. 1979
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-277-0321-7
  • Online ISBN 978-94-009-9347-1
  • Buy this book on publisher's site