206311

Springer, Dordrecht

1979

344 Pages

ISBN 978-90-277-0321-7

Vienna Circle Collection
vol. 10

Selected papers in logic and foundations, didactics, economics

Karl Menger

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 subjectswill 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.

Publication details

DOI: 10.1007/978-94-009-9347-1

Full citation:

Menger, K. (1979). Selected papers in logic and foundations, didactics, economics, Springer, Dordrecht.

Table of Contents

Introduction

Menger Karl

1-7

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The new logic

Menger Karl

17-45

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On intuitionism

Menger Karl

46-58

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Meaningfulness and structure

Menger Karl

61-67

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A counterpart of Occam's razor

Menger Karl

105-135

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Variables, constants, fluents

Menger Karl

144-152

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Introduction

Menger Karl

161-162

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Why Johnny hates math

Menger Karl

174-184

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On the formulation of certain questions in arithmetic

Curtis Herbert J.; Menger Karl

185-188

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The algebra of geometry

Menger Karl

220-224

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My memories of L. E. J. Brouwer

Menger Karl

237-255

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Gulliver in applyland

Menger Karl

320-323

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