Tool and Object

Name: Tool and Object
Brand: Birkhauser Verlag AG
SKU: 9783764375232
Price: 133.27 EUR
Availability: InStock

A Historic-Philosophical Account

Autor: Ralf Krömer

Jazyk:

Väzba: Pevná

Vydavateľ: Birkhauser Verlag AG

Dostupnosť: Skladom u dodávateľa v malom množstve

Odosielame za 11-15 dní

133.27 €

The book is first of all a history of category theory from the beginnings to A. Grothendieck and F.W...

Informácie o knihe

Autor

Ralf Krömer

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2007

Stránok

367

EAN

9783764375232

ISBN

376437523X

Enbook ID

01716803

Vydavateľ

Birkhauser Verlag AG

Hmotnosť

1640

Rozmery

170 x 244 x 30

Kompletný popis

The book is first of all a history of category theory from the beginnings to A. Grothendieck and F.W. Lawvere. Category theory was an important conceptual tool in 20th century mathematics whose influence on some mathematical subdisciplines (above all algebraic topology and algebraic geometry) is analyzed. Category theory also has an important philosophical aspect: on the one hand its set-theoretical foundation is less obvious than for other mathematical theories, and on the other hand it unifies conceptually a large part of modern mathematics and may therefore be considered as somewhat fundamental itself. The role of this philosophical aspect in the historical development is the second focus of the book. Relying on the historical analysis, the author develops a philosophical interpretation of the theory of his own, intending to get closer to how mathematicians conceive the significance of their activity than traditional schools of philosophy of science. §The book is the first monography exclusively devoted to the history of category theory. To a substantial extent it considers aspects never studied before. The author uses (and justifies the use of) a methodology combining historical and philosophical approaches. The analysis is not confined to general remarks, but goes into considerable mathematical detail. Hence, the book provides an exceptionally thorough case study compared with other works on history or philosophy of mathematics. The philosophical position developed here (inspired by Peircean pragmatism and Wittgenstein) is an interesting alternative to traditional approaches in philosophy of mathematics like platonism, formalism and intuitionism.

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Tool and Object

A Historic-Philosophical Account

Informácie o knihe

Kompletný popis

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Zákazníci, ktorí si kúpili túto knihu, kúpili tiež