Cantitate/Preț
Produs

Gnomes in the Fog: The Reception of Brouwer’s Intuitionism in the 1920s: Science Networks. Historical Studies, cartea 28

Autor Dennis E. Hesseling
en Limba Engleză Hardback – 24 oct 2003
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.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 63062 lei  6-8 săpt.
  Birkhäuser Basel – 30 oct 2012 63062 lei  6-8 săpt.
Hardback (1) 63683 lei  6-8 săpt.
  Birkhäuser Basel – 24 oct 2003 63683 lei  6-8 săpt.

Din seria Science Networks. Historical Studies

Preț: 63683 lei

Preț vechi: 74921 lei
-15% Nou

Puncte Express: 955

Preț estimativ în valută:
12187 12818$ 10152£

Carte tipărită la comandă

Livrare economică 03-17 ianuarie 25

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783764365363
ISBN-10: 3764365366
Pagini: 476
Ilustrații: XXIII, 448 p.
Dimensiuni: 155 x 235 x 31 mm
Greutate: 0.84 kg
Ediția:2003
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria Science Networks. Historical Studies

Locul publicării:Basel, Switzerland

Public țintă

Research

Cuprins

1 Kronecker, the semi-intuitionists, Poincaré.- 1.1 Introduction.- 1.2 Kronecker.- 1.3 The French semi-intuitionists.- 1.4 Poincaré.- 1.5 Conclusion.- 2 The genesis of Brouwer’s 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 Brouwer’s 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 Brouwer’s intuitionism.- C Logical notations.- Dankwoord/ Acknowledgements.

Recenzii

"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

Caracteristici

Reveals a feature of mathematics that is often forgotten or neglected Shows historical roots of one of the important current philosophies of mathematics