Tool and Object

Name: Tool and Object
Brand: Birkhauser Verlag AG
SKU: 9783764375232
Price: 733.11 RON
Availability: InStock

A Historic-Philosophical Account

Autor: Ralf Krömer

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Legare: Copertă tare

Editura: Birkhauser Verlag AG

Disponibilitate: În depozitul extern în cantități mici

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733.11 lei

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

Informații despre carte

Autor

Ralf Krömer

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2007

Pagini

367

EAN

9783764375232

ISBN

376437523X

Enbook ID

01716803

Editura

Birkhauser Verlag AG

Greutate

1640

Dimensiuni

170 x 244 x 30

Descriere completă

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

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Descriere completă

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