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Item #:
189938962
Proofs and Refutations: The Logic of Mathematical Discovery (Cambridge Philosophy Classics)
87% of respondents would recommend this to a friend
Item #:
189938962
XCD 99
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Lakatos shows that mathematics grows through a process of improvement by attempts at proofs and critiques of these attempts.
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What Stands Out
Philosophical Insight
Explores the intricate relationship between logic and mathematics, offering profound insights into the philosophy of mathematical discovery and problem-solving techniques.
Historical Context
Presents a historical perspective, showcasing how mathematical ideas have evolved, enriching readers' understanding of the subject and its narrative throughout time.
Educational Value
Ideal for both students and educators, this book serves as a comprehensive resource for teaching and understanding the logic behind mathematical debates and discoveries.
Product Details
- Imre Lakatos's Proofs and Refutations is an enduring classic, which has never lost its relevance. Taking the form of a dialogue between a teacher and some students, the book considers various solutions to mathematical problems and, in the process, raises important questions about the nature of mathematical discovery and methodology. Lakatos shows that mathematics grows through a process of improvement by attempts at proofs and critiques of these attempts, and his work continues to inspire mathematicians and philosophers aspiring to develop a philosophy of mathematics that accounts for both the static and the dynamic complexity of mathematical practice. With a specially commissioned Preface written by Paolo Mancosu, this book has been revived for a new generation of readers.
| Publisher | Cambridge University Press |
| Publication date | 15 Oct. 2015 |
| Edition | Reissue |
| Language | English |
| Print length | 196 pages |
| ISBN-10 | 1107534054 |
| ISBN-13 | 978-1107534056 |
| Item weight | 300 g |
| Dimensions | 15.24 x 1.14 x 22.86 cm |
| Part of series | Cambridge Philosophy Classics |
Who Should Buy?
-
Mathematics Students
Ideal for undergraduate and graduate students pursuing deeper understanding of mathematical reasoning and proofs.
-
Philosophy Enthusiasts
Beneficial for those exploring the philosophy of mathematics and the nature of mathematical discovery.
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Educators and Teachers
A valuable resource for educators seeking to enhance their teaching methodologies in mathematics.
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Casual Readers
Not suitable for those seeking light reading or casual engagement with mathematics.
Product Description
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Customer Questions & Answers
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Question:
What is the main theme of 'Proofs and Refutations'?
Answer: The main theme is the nature of mathematical discovery and the process by which mathematics develops through proofs and critiques. -
Question:
Who is the author of the book?
Answer: The author is Imre Lakatos, a renowned philosopher of mathematics. -
Question:
Is this edition different from previous ones?
Answer: Yes, this reissue edition includes a specially commissioned Preface by Paolo Mancosu.
Mathematical Logic Editorial Review
Proofs And Refutations The Logic Of Mathematical Discovery Cambridge Philosophy Classics is a captivating exploration of mathematical thought, presented through engaging dialogues within a high school classroom focused on polyhedra. The text offers readers a profound insight into the philosophy of mathematics, sidestepping complex equations for a more conceptual understanding. Characterized by its lively humor and accessible writing style, it encourages readers to rethink conventional definitions and engage with mathematical inquiry. This book serves as a remarkable introduction to the dynamic nature of mathematical discovery, appealing not only to mathematicians but also to anyone interested in the intricacies of mathematical logic and philosophy.
Customer Reviews & Ratings
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Pros
- Engaging narrative that explores mathematical thought
- Humorous and relatable dialogues enhance understanding
- Accessible writing suitable for broad audiences
- Encourages critical thinking about mathematical definitions
- Rich philosophical context about mathematics
Cons
- Might include dense appendices not for everyone
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Features & Benefits
- Discover the dynamic nature of mathematical discovery.
- Engaging dialogue format enhances understanding of complex concepts.
- Essential reading for aspiring mathematicians and philosophers.
- Revived edition features a new Preface by Paolo Mancosu.
- Explore the balance between static and dynamic complexities in mathematics.
- An enduring classic that remains relevant in today's philosophical discussions.
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