
Title

Platonism And Antiplatonism In Mathematics
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In This Highly Absorbing Work, Balaguer Demonstrates That No Good Arguments Exist Either For Or Against Mathematical Platonismfor Example, The View That Abstract Mathematical Objects Do Exist And That Mathematical Theories Are Descriptions Of Such Objects. Balaguer Does This By Establishing That Both Platonism And Antiplatonism Are Justifiable Views. Introducing A Form Of Platonism, Called Fullblooded Platonism, That Solves All Problems Traditionally Associated With The View, He Proceeds To Defend Antiplatonism (In Particular, Mathematical Fictionalism) Against Various Attacksmost Notably The Quineputnam Indispensability Attack. He Concludes By Arguing That It Is Not Simply That We Do Not Currently Have Any Good Arguments For Or Against Platonism But That We Could Never Have Such An Argument. This Lucid And Accessible Book Breaks New Ground In Its Area Of Engagement And Makes Vital Reading For Both Specialists And All Those Intrigued By The Philosophy Of Mathematics, Or Metaphysics In General.
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This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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Frequently Asked Questions
- Q: What is the main topic of 'Platonism and Anti-Platonism in Mathematics'? A: 'Platonism and Anti-Platonism in Mathematics' by Mark Balaguer explores the arguments for and against mathematical platonism, discussing the existence of abstract mathematical objects and the justifiability of both platonism and anti-platonism.
- Q: Who is the author of this book? A: The author of 'Platonism and Anti-Platonism in Mathematics' is Mark Balaguer.
- Q: How many pages does this book have? A: 'Platonism and Anti-Platonism in Mathematics' has a total of 240 pages.
- Q: When was 'Platonism and Anti-Platonism in Mathematics' published? A: This book was published on July 19, 2001.
- Q: What is the binding type of this book? A: 'Platonism and Anti-Platonism in Mathematics' is available in paperback binding.
- Q: Is this book suitable for beginners in philosophy? A: Yes, the book is described as lucid and accessible, making it suitable for both specialists and those new to the philosophy of mathematics.
- Q: What are the key arguments presented in the book? A: The book presents key arguments regarding the lack of good arguments for or against mathematical platonism, introduces 'full-blooded platonism,' and defends anti-platonism against common critiques.
- Q: Does the book address mathematical fictionalism? A: Yes, the book specifically defends anti-platonism, including mathematical fictionalism, against various criticisms.
- Q: What philosophical issues does the book engage with? A: The book engages with significant philosophical issues related to the existence of abstract mathematical objects, the nature of mathematical theories, and the broader implications for metaphysics.
- Q: Is any prior knowledge of mathematics required to understand this book? A: While a background in philosophy may be beneficial, the book is written to be accessible and does not require extensive prior knowledge of mathematics.