Name: Gnomes in the Fog By Dennis E. Hesseling
SKU: 9783764365363
Price: 141.99 USD
Availability: InStock

Gnomes in the Fog Summary

Gnomes in the Fog: The Reception of Brouwers Intuitionism in the 1920s by Dennis E. Hesseling

The significance of foundational debate in mathematics that took place in the 1920s seems to have been recognized only in circles of mathematicians and philosophers. A period in the history of mathematics when mathematics and philosophy, usually so far away from each other, seemed to meet. The foundational debate is presented with all its brilliant contributions and its shortcomings, its new ideas and its misunderstandings.

Gnomes in the Fog Reviews

"L.E.J. Brouwer is best known to many mathematicians for his seminal contributions to topology. He is also the founder of mathematical intuitionism, and a key player in the debate on foundations of mathematics that raged for a brief decade in the 1920s, and then subsided. Gnomes in the Fog tells the story of that important and influential episode in the history of mathematics, in fascinating and delicious detail.... [A]nyone with an interest in mathematics and its history and philosophy, should enjoy this book. Mathematicians (especially logicians) may find some surprises in the first chapter, on Brouwer's predecessors; philosophers and science study scholars should especially appreciate the final chapter on the cultural context of the debate.... One of the many treasures to be discovered in reading this book is the rich collection of original quotes in the many languages in which the debate took place, along with the author's translations."

MAA Online

1 Kronecker, the semi-intuitionists, Poincare.- 1.1 Introduction.- 1.2 Kronecker.- 1.3 The French semi-intuitionists.- 1.4 Poincare.- 1.5 Conclusion.- 2 The genesis of Brouwers intuitionism.- 2.1 Introduction.- 2.2 The early years.- 2.3 The first act of intuitionism.- 2.4 Topology.- 2.5 Intuitionism and formalism.- 2.6 The second act of intuitionism.- 2.7 The Brouwer lectures.- 2.8 The Mathematische Annalen and afterwards.- 2.9 Brouwers personality.- 2.10 Conclusion.- 3 Overview of the foundational debate.- 3.1 Introduction.- 3.2 Quantitative inquiry.- 3.3 Qualitative inquiry.- 3.4 Conclusion.- 4 Reactions: existence and constructivity.- 4.1 Introduction.- 4.2 The beginning of the debate.- 4.3 The debate widened.- 4.4 Later reactions.- 4.5 Conclusion.- 5 Reactions: logic and the excluded middle.- 5.1 Introduction.- 5.2 The beginning of the debate.- 5.3 The debate widened.- 5.4 Later reactions.- 5.5 Conclusion.- 6 The foundational crisis in its context.- 6.1 Introduction.- 6.2 Metaphors.- 6.3 Philosophy.- 6.4 Physics.- 6.5 Art.- 6.6 Politics.- 6.7 Moderne and Gegenmoderne.- 6.8 Conclusion.- Conclusion.- A Chronology of the debate.- B Public reactions to Brouwers intuitionism.- C Logical notations.- Dankwoord/ Acknowledgements.

Additional information

Sku

NPB9783764365363

ISBN 13

9783764365363

ISBN 10

3764365366

Title

Gnomes in the Fog: The Reception of Brouwers Intuitionism in the 1920s by Dennis E. Hesseling

Author

Dennis E. Hesseling

Series

Science Networks. Historical Studies

Condition

New

Binding type

Hardback

Publisher

Birkhauser Verlag AG

Year published

2003-10-24

Number of pages

448

Prizes

N/A

Cover note

Book picture is for illustrative purposes only, actual binding, cover or edition may vary.

Note

This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Gnomes in the Fog Dennis E. Hesseling

Gnomes in the Fog by Dennis E. Hesseling

Summary

Gnomes in the Fog Summary

Gnomes in the Fog: The Reception of Brouwers Intuitionism in the 1920s by Dennis E. Hesseling

Gnomes in the Fog Reviews

Table of Contents

Additional information

Customer Reviews - Gnomes in the Fog