Plato's Problem An Introduction to Mathematical Platonism
by Panza, Marco; Sereni, AndreaFormat: Hardcover
Pub. Date: 2013-01-21
Publisher(s): Palgrave Macmillan
Other versions by this Author
-
This Item Qualifies for Free Shipping!*
*Excludes marketplace orders.
List Price: $110.25
Buy New
Arriving Soon. Will ship when available.
$105.00
Rent Textbook
Select for Price
Rent Digital
$46.80
Used Textbook
We're Sorry
Sold Out
How Marketplace Works:
- This item is offered by an independent seller and not shipped from our warehouse
- Item details like edition and cover design may differ from our description; see seller's comments before ordering.
- Sellers much confirm and ship within two business days; otherwise, the order will be cancelled and refunded.
- Marketplace purchases cannot be returned to eCampus.com. Contact the seller directly for inquiries; if no response within two days, contact customer service.
- Additional shipping costs apply to Marketplace purchases. Review shipping costs at checkout.
Summary
What is mathematics about? And if it is about some sort of mathematical reality, how can we have access to it? This is the problem raised by Plato, which still today is the subject of lively philosophical disputes. This book traces the history of the problem, from its origins to its contemporary treatment. It discusses the answers given by Aristotle, Proclus and Kant, through Frege's and Russell's versions of logicism, Hilbert's formalism, Gödel's platonism, up to the the current debate on Benacerraf's dilemma and the indispensability argument. Through the considerations of themes in the philosophy of language, ontology, and the philosophy of science, the book aims at offering an historically-informed introduction to the philosophy of mathematics, approached through the lenses of its most fundamental problem.
Author Biography
MARCO PANZA is research Professor at the CNRS. He is the author and editor of several books and papers in the domains of history and philosophy of mathematics. Including Analysis and sinthesis in Mathematics (ed., with M. Otte), 1997; Isaac Newton, 2003; Newton et l'origine de l'analyse, 1664-1666, 2005; Nombres. Eléments de mathématiques pour philosophes, 2007.
ANDREA SERENI is Lecturer at San Raffaele University, Milan. He has been a visiting scholar at Arché Centre at the University of St. Andrews. He has taught courses at the Universities of Modena and Reggio Emilia, Parma, and Bologna. His teaching, research and publications cover philosophy of mathematics, epistemology, and philosophy of language.
ANDREA SERENI is Lecturer at San Raffaele University, Milan. He has been a visiting scholar at Arché Centre at the University of St. Andrews. He has taught courses at the Universities of Modena and Reggio Emilia, Parma, and Bologna. His teaching, research and publications cover philosophy of mathematics, epistemology, and philosophy of language.
Table of Contents
Preface
Terminological Conventions
Introduction
The Origins
From Frege to Gödel (through Hilbert)
Benacerraf's Arguments
Non-conservative Responses to Benacerraf's Dilemma
Conservative Responses to Benacerraf's Dilemma
The Indispensability Argument: Structure and Basic Notions
The Indispensability Argument: The Debate
Conclusion
Notes
References
Index
Terminological Conventions
Introduction
The Origins
From Frege to Gödel (through Hilbert)
Benacerraf's Arguments
Non-conservative Responses to Benacerraf's Dilemma
Conservative Responses to Benacerraf's Dilemma
The Indispensability Argument: Structure and Basic Notions
The Indispensability Argument: The Debate
Conclusion
Notes
References
Index
An electronic version of this book is available through VitalSource.
This book is viewable on PC, Mac, iPhone, iPad, iPod Touch, and most smartphones.
By purchasing, you will be able to view this book online, as well as download it, for the chosen number of days.
Digital License
You are licensing a digital product for a set duration. Durations are set forth in the product description, with "Lifetime" typically meaning five (5) years of online access and permanent download to a supported device. All licenses are non-transferable.
More details can be found here.
A downloadable version of this book is available through the eCampus Reader or compatible Adobe readers.
Applications are available on iOS, Android, PC, Mac, and Windows Mobile platforms.
Please view the compatibility matrix prior to purchase.