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189938962
Proofs and Refutations: The Logic of Mathematical Discovery (Cambridge Philosophy Classics)
87% of respondents would recommend this to a friend
Nº de artículo:
189938962
HNL 952
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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.
Detalles de producto
| 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?
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Mathematics Students
Ideal for undergraduate and graduate students pursuing deeper understanding of mathematical reasoning and proofs.
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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.
DESCRIPCIÓN DEL PRODUCTO
Proofs and Refutations: The Logic of Mathematical Discovery (Cambridge Philosophy Classics)
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Preguntas y respuestas de los clientes
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Pregunta:
What is the main theme of 'Proofs and Refutations'?
Respuesta: The main theme is the nature of mathematical discovery and the process by which mathematics develops through proofs and critiques. -
Pregunta:
Who is the author of the book?
Respuesta: The author is Imre Lakatos, a renowned philosopher of mathematics. -
Pregunta:
Is this edition different from previous ones?
Respuesta: Yes, this reissue edition includes a specially commissioned Preface by Paolo Mancosu.
Mathematical Logic Editorial Review
**** "Proofs and Refutations: The Logic of Mathematical Discovery" by Imre Lakatos is both an engaging narrative and a profound exploration of mathematical philosophy. The book, set against the backdrop of a high school classroom, presents a series of lively dialogues as a teacher guides students through the intricate world of polyhedra. It cleverly navigates the complexities of mathematical definitions while sparking curiosity and critical thinking about the nature of proofs. Readers are drawn into the story not only for the characters' interactions but also for how these discussions reveal the underlying philosophical questions about the foundations of mathematics. Lakatos challenges conventional views, illustrating that mathematics is not a static compilation of knowledge but an evolving discipline, continuously refined through debate and counterexamples. This approach makes the subject matter accessible, appealing to those who may find traditional mathematical texts dense or uninspiring. What sets this book apart is its unique Socratic method, which sheds light on the process of defining concepts rather than simply mastering equations. While the main narrative is engaging, the appendices offer deeper insights for those willing to delve further into the philosophical aspects of mathematical research. The book has been praised as an essential read for mathematics enthusiasts, educators, and philosophers, though some readers mention a slightly dated style. Overall, "Proofs and Refutations" serves not only as a lively story but as an invaluable resource for those wanting to understand the interplay between intuition and formal proofs. Lakatos’ work is an enduring classic that captivates and educates on the profound nature of mathematical inquiry. **
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ventajas
- Engaging narrative through a classroom dialogue about mathematics
- Promotes critical thinking and curiosity about mathematical definitions
- Explores the philosophy of mathematics rather than just technical proofs
- Accessible writing style that is easy to understand
- Encourages discussions about the evolving nature of mathematical knowledge
Contras
- Some readers may find the style somewhat dated
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características y beneficios
- 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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