Gnomes in the Fog

Name: Gnomes in the Fog
Brand: Springer, Birkhäuser, Birkhäuser Basel
SKU: 11239449
Price: 131.99 EUR
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The Reception of Brouwer's Intuitionism in the 1920s (Sprache: Englisch)

Autor: Dennis E. Hesseling

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Produktbeschreibung
Inhaltsverzeichnis
Biblio. Angaben / Produktdetails
Rezension

Produktinformationen zu „Gnomes in the Fog “

Klappentext zu „Gnomes in the Fog “

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.

Inhaltsverzeichnis zu „Gnomes in the Fog “

- Kronecker, the semi-intuitionists, Poincaré

- The genesis of Brouwer's intuitionism

- Description of the foundational debate

- Reactions: existence and constructivity

- Reactions: logic and the excluded middle

- The foundational crisis in its context.

Bibliographische Angaben

Autor: Dennis E. Hesseling
2003, 2003, 448 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
Verlag: Springer
ISBN-10: 3764365366
ISBN-13: 9783764365363
Erscheinungsdatum: 24.10.2003

Sprache:

Englisch

Rezension zu „Gnomes in the Fog “

"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."

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