Name: Godel's Disjunction: The Scope and Limits of Mathematical Knowledge (en Inglés)
SKU: 48518398
Price: 208.27 EUR
Availability: InStock
Author: Philip (Editor) Horsten Leon (Editor)/ Welch
ISBN: 9780198759591

portada Godel's Disjunction: The Scope and Limits of Mathematical Knowledge (en Inglés)

Godel's Disjunction: The Scope and Limits of Mathematical Knowledge (en Inglés)

Formato

Libro Físico

Editorial

Oxford University Press

Autor

Philip (Editor) Horsten Leon (Editor)/ Welch

Categoría

Ciencia y Matemáticas , Matemáticas , Matemáticas Puras , Lógica

Año

2016

Idioma

Inglés

N° páginas

288

Encuadernación

Tapa Dura

ISBN13

9780198759591

Godel's Disjunction: The Scope and Limits of Mathematical Knowledge (en Inglés)

Philip (Editor) Horsten Leon (Editor)/ Welch (Autor) · Oxford University Press · Tapa Dura

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Reseña del libro "Godel's Disjunction: The Scope and Limits of Mathematical Knowledge (en Inglés)"

The logician Kurt Godel in 1951 established a disjunctive thesis about the scope and limits of mathematical knowledge: either the mathematical mind is not equivalent to a Turing machine (i.e., a computer), or there are absolutely undecidable mathematical problems. In the second half of the twentieth century, attempts have been made to arrive at a stronger conclusion. In particular, arguments have been produced by the philosopher J.R. Lucas and by the physicist and mathematician Roger Penrose that intend to show that the mathematical mind is more powerful than any computer. These arguments, and counterarguments to them, have not convinced the logical and philosophical community. The reason for this is an insufficiency if rigour in the debate. The contributions in this volume move the debate forward by formulating rigorous frameworks and formally spelling out and evaluating arguments that bear on Godel's disjunction in these frameworks. The contributions in this volume have been written by world leading experts in the field.