- Tapa blanda: 304 páginas
- Editor: Cambridge University Press (31 de marzo de 2014)
- Idioma: Inglés
- ISBN-10: 1107658152
- ISBN-13: 978-1107658158
- Valoración media de los clientes: Sé el primero en opinar sobre este producto
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nº185.771 en Libros en idiomas extranjeros (Ver el Top 100 en Libros en idiomas extranjeros)
- n.° 242 en Libros en idiomas extranjeros > Ciencias, tecnología y medicina > Matemáticas > Filosofía e historia de las matemáticas
- n.° 514 en Libros en idiomas extranjeros > Ciencias, tecnología y medicina > Matemáticas > Teoría matemática
- n.° 5290 en Libros en idiomas extranjeros > Sociedad y ciencias sociales > Filosofía
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Why Is There Philosophy of Mathematics At All? (Inglés) Tapa blanda – 31 mar 2014
Descripción del producto
'Hacking does not restrict himself to the foundations of mathematics, but dares to cover both the breadth and the depth of mathematical philosophy.' Literary Review of Canada
'… readable, presented in easily digestible chunks, clearly explained, and just a lot of fun …' Danny Yee's Book Reviews
'Show[s] non-specialists … the sort of distinctive contribution to science and maths that a brilliant, very well-informed, philosopher can bring … I thoroughly recommend this book.' Alan Weir, The Times Literary Supplement
'Hacking has composed a great overview of our understanding of mathematics and of the historical turning points and philosophical basics.' Peeter Müürsepp, Mathematical Reviews
Reseña del editor
This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both immersed in the past and unusually attuned to the competing philosophical ideas of contemporary mathematicians, it shows that proof and other forms of mathematical exploration continue to be living, evolving practices - responsive to new technologies, yet embedded in permanent (and astonishing) facts about human beings. It distinguishes several distinct types of application of mathematics, and shows how each leads to a different philosophical conundrum. Here is a remarkable body of new philosophical thinking about proofs, applications, and other mathematical activities.Ver Descripción del producto
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Judging by the other reviews the book may not be for everyone, but as someone fairly new to philosophy of mathematics I love it. If you're feeling a little hesitant because of the other reviews I would suggest downloading the kindle sample (if you can). If you enjoy the sample, I think you will enjoy the rest of the book as well.
Geometry, physics and logics are all examined with attention, and those facts are seen particularly in relation with the more important phylosophers.
They are Kant, Pierce, Wittengstein, Plato, who have been valid for their contribute to the science world. Shortly this book gives a model for learning particular informations, but also it is a lecture made with pleasure, because the style is surely elegant and the analysis is sufficiently complex to understand it.
Amazon please listen!! Add a separate rating method for the eBook presentation and / or print edition production: binding, paper, printing and so on.
Books need to be reviewed in terms of content and increasingly due to variable quality of eBook production separately in terms of format / production quality.
I have purchased the PDF eBook version of this book elsewhere since I prefer "print replica" eBooks which I read on an iPad. As far as I can tell from the Kindle sample that I have downloaded, the Table of Contents is appropriately hierarchical and the rest of the content appears quite in line with the PDF version. This is unusual for technical material but this book is not heavy on equations and so on. Generally, mathematical texts are not at all set well in Kindle (or ePub). I disagree with Dabs' rating and comments on the Kindle version.
This is a pleasant read that surveys the breadth of the history of ideas about what mathematics is up to the present. Langlands and Grothendieck as well as Gowers and the economist von Mises and Kant all make appearances and insert their comments on the nature of mathematics as a human activity and its relation to the world around us.
I have thus far skimmed the contents and dipped in here and there so I'll return with a more detail review after I complete reading. I just wanted to put my comments in regarding Amazon's broken review system.