Name: From Foundations to Philosophy of Mathematics: An Historical Account of Their Development in the XX Century and Beyond (en Inglés)
SKU: 57728679
Price: 295.01 PEN
Availability: InStock
Author: Rosellã3 Joan
ISBN: 9781443834599

portada From Foundations to Philosophy of Mathematics: An Historical Account of Their Development in the XX Century and Beyond (en Inglés)

From Foundations to Philosophy of Mathematics: An Historical Account of Their Development in the XX Century and Beyond (en Inglés)

Formato

Libro Físico

Autor

Rosellã3 Joan

Editorial

Cambridge Scholars Publishing

Idioma

Inglés

N° páginas

230

Encuadernación

Tapa Dura

ISBN13

9781443834599

Categorías

Matemáticas

From Foundations to Philosophy of Mathematics: An Historical Account of Their Development in the XX Century and Beyond (en Inglés)

Rosellã3 Joan (Autor) · Cambridge Scholars Publishing · Tapa Dura

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Reseña del libro "From Foundations to Philosophy of Mathematics: An Historical Account of Their Development in the XX Century and Beyond (en Inglés)"

From Foundations to Philosophy of Mathematics provides an historical introduction to the most exciting period in the foundations of mathematics, starting with the discovery of the paradoxes of logic and set theory at the beginning of the twentieth century and continuing with the great foundational debate that took place in the 1920s. As a result of the efforts of several mathematicians and philosophers during this period to ground mathematics and to clarify its nature from a certain philosophical standpoint, the four main schools in the philosophy of mathematics that have largely dominated the twentieth century arose, namely, logicism, intuitionism, formalism and predicativism. It was due precisely to the insufficiencies of the first three foundational programs and the objections raised against them, that interest in Platonism was renewed in the 1940s, mainly by Godel. Not only does this book pay special attention to the foundational programs of these philosophies of mathematics, but also to some technical accomplishments that were developed in close connection with them and have largely shaped our understanding of the nature of mathematics, such as Russell's type theory, Zermelo's set theory and Godel's incompleteness theorems. Finally, it also examines some current research programs that have been pursued in the last decades and have tried, at least to some extent, to show the feasibility of the foundational programs developed in the schools mentioned above. This is the case of neologicism, constructivism, and predicativist and finitist reductionism, this last one developed closely with the research program of reverse mathematics.