A Brief Philosophy of Mathematics
Buch, Englisch, 216 Seiten, Format (B × H): 155 mm x 235 mm
ISBN: 978-3-032-35320-7
Verlag: Birkhäuser
The sciences and humanities are often imagined as two entirely distinct fields with little overlap. In this book, Gordon Gillespie weaves together historical anecdotes, philosophical arguments, and scientific explanations to demonstrate how mathematics is the bridge that connects them. Gillespie constructs this case through a careful selection of thought-provoking vignettes that illustrate foundational topics, such as counting and geometry, as well as the philosophical ideas behind concepts like infinity. As the chapters progress, Gillespie gradually deconstructs the historical understanding of mathematics as a purely abstract discipline. In its place, readers will instead see it for what it really is: not the drudgery of uncreative number crunchers, but a unique art of thinking that builds intricate ideas from elementary notions deeply rooted in our everyday lives. Whether these ideas come from Special Relativity or the well-known story about Achilles and the tortoise, shows how mathematics operates across disciplines and opens up unique perspectives on the world and ourselves.
Reviews of the German edition:
"Gordon Gillespie captivates the reader with a very unique approach. What is impressive about Gillespie's book, apart from the wealth of examples, is his talent for clearly explaining abstract relationships. Here one learns that exact standards of reasoning and creative thinking are not mutually exclusive." André Behr,
"In his popular non-fiction book, the author succeeds in presenting key mathematical concepts in a way that can be understood even by those with no background in mathematics. Conclusion: Gordon Gillespie's is a very good and entertaining introduction to the philosophy of mathematics." Marcel Remme,
"The author has written a highly demanding work. [The reader] must be prepared to think deeply [...] but it is worth it: the confrontation leads [...] to a productive questioning and enrichment of one's own perspective and way of thinking." Hartmut Weber,
Zielgruppe
Popular/general
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
Counting and Numbers.- Points, Lines, Triangles & Co.- The Exploration of the Infinite.- The Geometry of Special Relativity.- World and Model.- Mind and (mathematical) Abstraction.
