A Concise History of Mathematics for Philosophers (Elements in the Philosophy of Mathematics)
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A Concise History of Mathematics for Philosophers (Elements in the Philosophy of Mathematics)
This Element aims to present an outline of mathematics and its history, with particular emphasis on events that shook up its philosophy.
A Concise History of Mathematics for Philosophers (Elements in the Philosophy of Mathematics)
Numéro d'article: 62204519

A Concise History of Mathematics for Philosophers (Elements in the Philosophy of Mathematics)

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Numéro d'article: 62204519

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This Element aims to present an outline of mathematics and its history, with particular emphasis on events that shook up its philosophy.
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Ce qui se démarque

Philosophical Insight
This book intertwines mathematical concepts with philosophical inquiry, offering readers a deeper understanding of how mathematics influences and shapes philosophical thought throughout history.
Historical Context
Provides a well-researched historical narrative that places mathematical developments within the broader context of philosophical evolution, making it accessible to both mathematicians and philosophers.
Focused Scope
Offers a concise yet comprehensive overview, tailored specifically for those in philosophical disciplines, ensuring clarity and relevance without overwhelming technical details.

Détails du produit

Explore the Elements in the Philosophy of Mathematics with this comprehensive book. Get the best deals and fast shipping at Ubuy, a Saint Pierre and Miquelon.
  • Presents an outline of mathematics and its history with a focus on its philosophical impact
  • Covers events from the discovery of irrational numbers to nineteenth- and twentieth-century discoveries on infinity and proof
  • Recurring themes include intuition and logic, meaning and existence, and the discrete and the continuous
  • Explores the evolution of these themes under new mathematical discoveries
  • Offers insight into the intertwined story of mathematics and philosophy
  • Part of the 'Elements in the Philosophy of Mathematics' series
Publisher Cambridge University Press
Publication date June 6, 2019
Language English
Print length 75 pages
ISBN-10 1108456235
ISBN-13 978-1108456234
Item Weight 3.53 ounces (100.08 grams)
Dimensions 6 x 0.18 x 9 inches (15.2 x 0.5 x 22.9 cm)
Part of series Elements in the Philosophy of Mathematics

À qui est-ce destiné ?

Suitable For
  • Philosophy Students

    Ideal for students studying philosophy, especially those exploring intersections with mathematics and its historical context.

  • Mathematics Educators

    Useful for educators wanting insights into the philosophical underpinnings of mathematics and its historical evolution.

  • Curious Readers

    Great for anyone with an interest in the philosophical aspects of mathematics beyond mere formulas and calculations.

Not Suitable For
  • Mathematics Practitioners

    Not suitable for professionals seeking practical applications or advanced technical methodologies in mathematics.

DESCRIPTION DU PRODUIT

A Concise History of Mathematics for Philosophers (Elements in the Philosophy of Mathematics)

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Questions et réponses des clients

  • question: What is 'A Concise History of Mathematics for Philosophers' about?

    répondre: This book explores the historical development of mathematical concepts and theories from a philosophical perspective. It delves into how mathematical thought has evolved over time, highlighting key figures and their contributions. By examining the intersections between mathematics and philosophy, readers can gain insights into how mathematical ideas influence and are influenced by philosophical discourse. This book is ideal for students or enthusiasts seeking to understand not just the history of mathematics, but also its broader implications in philosophy.
  • question: Who is the intended audience for this book?

    répondre: The book is primarily aimed at philosophers, mathematics students, and anyone interested in the philosophical implications of mathematical ideas. It serves as a valuable resource for scholars in both fields who wish to deepen their understanding of how mathematics interacts with philosophical themes. Additionally, it appeals to curious readers who value the historical context of mathematical thought, allowing them to explore complex ideas in a structured and approachable manner.
  • question: What are some key themes discussed in the book?

    répondre: Key themes in 'A Concise History of Mathematics for Philosophers' include the evolution of mathematical ideas, the influence of cultural and historical contexts on mathematical developments, and the philosophical debates surrounding mathematical truths and abstractions. The book discusses how concepts such as infinity, number theory, and geometry have shaped philosophical inquiries, ultimately showcasing the intricate relationship between these two fields. Readers will find rich discussions on important mathematicians and their philosophical influences throughout history.
  • question: How does this book differ from standard math history texts?

    répondre: Unlike standard history texts that often focus solely on mathematical developments and achievements, this book intertwines mathematical history with philosophical analysis. It emphasizes how philosophical questions shape mathematical theories and vice versa, providing a dual perspective that enriches the reader’s understanding of both disciplines. This approach makes it particularly useful for those who want a more nuanced appreciation of mathematics beyond numerical analysis and computation.
  • question: Are there any illustrations or diagrams in the book?

    répondre: Yes, 'A Concise History of Mathematics for Philosophers' includes illustrations and diagrams that help convey complex mathematical concepts and historical developments. This visual aid enhances the understanding of ideas discussed in the text, making it more engaging for readers. Diagrams may illustrate mathematical theories or highlight historical figures and their contributions, providing a clearer picture of the interplay between philosophy and mathematics.
  • question: What regions or historical contexts does the book cover?

    répondre: The book covers a wide range of regions and historical contexts, from ancient civilizations like the Greeks and Egyptians through to modern mathematical thought. It discusses contributions from various cultures, including Asian and Islamic mathematics, showcasing how these diverse influences have shaped mathematical philosophy over the ages. This broad perspective highlights the Saint Pierre and Miquelon evolution of mathematical ideas, making it a comprehensive resource.
  • question: Can this book be used as a textbook in academic settings?

    répondre: Yes, 'A Concise History of Mathematics for Philosophers' is well-suited for use as a textbook in philosophy of mathematics courses or history of mathematics classes. Its structured chapters, clear explanations, and critical discussions make it an ideal educational resource. Professors can utilize it to foster discussions about the philosophical implications of mathematical concepts, promoting interdisciplinary learning among students in both mathematics and philosophy.
  • question: What philosophical questions does the book explore regarding mathematics?

    répondre: The book tackles philosophical questions such as the nature of mathematical truth, the existence of mathematical objects, and the epistemological implications of mathematical knowledge. It invites readers to consider whether mathematical truths are discovered or invented, and how mathematical practices intersect with human cognition and belief systems. This exploration encourages critical thinking and provides a philosophical framework for understanding mathematical concepts, making it relevant for both academics and general readers.
  • question: Does the book provide a critical analysis of mathematical thinkers?

    répondre: Yes, the book offers critical analysis of key mathematical thinkers throughout history, examining their philosophical views and contributions to the discipline. It discusses figures such as Euclid, Galileo, Newton, and Cantor in relation to their influence on mathematical philosophy. By analyzing these thinkers' works and the contexts in which they operated, the book helps readers appreciate the philosophical dimensions of their mathematical inquiries and legacies.
  • question: Where can I buy 'A Concise History of Mathematics for Philosophers' in Saint Pierre and Miquelon?

    répondre: You can purchase 'A Concise History of Mathematics for Philosophers' at Ubuy, which provides a wide selection of books and academic materials. Ubuy is a reliable e-commerce platform that serves customers in Saint Pierre and Miquelon and ensures a convenient shopping experience, making it easy for you to find and order this insightful resource from the comfort of your home.

History & Philosophy Editorial Review

**** “A Concise History of Mathematics for Philosophers” is a thought-provoking exploration tailored for those interested in the intersection of mathematics and philosophy. The book offers readers a comprehensive overview of the development of mathematical thought from antiquity to the 19th century, deftly covering significant themes such as non-Euclidean geometry and set theory. Many reviewers appreciated its high-level perspective, suggesting that it successfully connects mathematical concepts with broader philosophical inquiries. However, some readers noted that the book lacks coverage of more contemporary developments in mathematics, such as chaos theory and computation, hinting at a desire for a more comprehensive narrative that encapsulates modern advancements. While respected figures within mathematical discourse, such as David Oker and John Stillwell, are referenced, the overarching Consensus remains that the book excellently synthesizes historical context without venturing into the technical depths typically explored in mathematical treatises. In essence, “A Concise History of Mathematics for Philosophers” effectively serves as a bridge for readers looking to understand how mathematical ideas have evolved alongside philosophical thought, even if some contemporary topics are absent. **

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Avantages

  • Comprehensive coverage of mathematical history from antiquity to the 19th century
  • Well-articulated themes including non-Euclidean geometry and set theory
  • Suitable for readers interested in the philosophical implications of mathematics
  • Acclaimed for its high-level perspective and engaging narrative

Les inconvénients

  • Lacks coverage of contemporary developments like chaos theory and computation

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Caractéristiques et avantages

  • Concise history of mathematics for philosophers
  • Emphasis on events that shook up its philosophy
  • Ranges from ancient Greece to the 19th and 20th century
  • Recurring themes are intuition and logic, meaning and existence, and the discrete and the continuous
  • The story of evolution is science and the story of philosophy of mathematics

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