Patterns of Change: Linguistic Innovations in the Development of Classical Mathematics (Science Networks. Historical Studies Book 36) 2008th Edition by Ladislav Kvasz (PDF)

Description

Kvasz’s book is a contribution to the history and philosophy of mat- matics, or, as one might say, the historical approach to the philosophy of mathematics. This approach is for mathematics what the history and philosophy of science is for science. Yet the historical approach to the philosophy of science appeared much earlier than the historical approach to the philosophy of mathematics. The ?rst signi?cant work in the history and philosophy of science is perhaps William Whewell’s Philosophy of the Inductive Sciences, founded upon their History. This was originally published in 1840, a second, enlarged edition appeared in 1847, and the third edition appeared as three separate works p- lished between 1858 and 1860. Ernst Mach’s The Science of Mech- ics: A Critical and Historical Account of Its Development is certainly a work of history and philosophy of science. It ?rst appeared in 1883, and had six further editions in Mach’s lifetime (1888, 1897, 1901, 1904, 1908, and 1912). Duhem’s Aim and Structure of Physical Theory appeared in 1906 and had a second enlarged edition in 1914. So we can say that history and philosophy of science was a well-established ?eld th th by the end of the 19 and the beginning of the 20 century. By contrast the ?rst signi?cant work in the history and philosophy of mathematics is Lakatos’s Proofs and Refutations, which was p- lished as a series of papers in the years 1963 and 1964.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I give three stars not because this book is bad, but because I want to warn ambitious readers.I believe this book has a very important insight to offer about the philosophy of math. So, if you are interested in the topic, you should come across it sometime in your academic career. But you should be aware that, to fully grasp and appreciate this book, you may have to already have a strong (or at least competent) background in math and should have been reflecting on the issues in the phil. of math yourself for a while. A mere ambition wouldn’t get you anywhere with this book.This book is very fast-paced and assumes that you already know enough math and phil. of science to get with its program. Especially, after it begins talking about iterative (fractal) geometry, things could go south at a rapid rate.This book is not undergraduate or even master’s student friendly because most of us ordinary philosophy majors are not properly trained in higher math. Naturally, this book is mostly suitable for upper division graduate courses (3rd-4th year seminars) or PhD level researches, not for a general introduction to phil. of math.Apart from this pedagogical issue, the book seems to say something very important. I am barely trained up to some basic notions of calculus. (That is, I am competent enough in math to joke about basic logical concepts with math and physics students.) So, it is very difficult me to understand everything. But, at the same time, if you are truly ambitious, this book may open your eyes to what you should be “catching up” with in order to meaningfully participate in the topics. For that purpose, this book deserves 5 stars.

⭐I could recommend the professor Kvasz’s book. I believe that it is an exciting and stimulating one. More, professor Kvasz’s book is a winner of the prestige Fernando Gil International Prize. More on […]

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