The Oracle of Numbers
A Brief Philosophy of Mathematics
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Beschreibung
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, The Oracle of Numbers 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, Neue Zürcher Zeitung am Sonntag
"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 The Oracle of Numbers is a very good and entertaining introduction to the philosophy of mathematics." Marcel Remme, Zeitschrift für Didaktik der Philosophie und Ethik
"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, Spektrum der Wissenschaft
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, The Oracle of Numbers 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, Neue Zürcher Zeitung am Sonntag
"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 The Oracle of Numbers is a very good and entertaining introduction to the philosophy of mathematics." Marcel Remme, Zeitschrift für Didaktik der Philosophie und Ethik
"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, Spektrum der Wissenschaft
Weaves historical, philosophical, and scientific arguments to show how mathematics bridges the sciences and humanities Builds a case through vignettes on counting, geometry, and infinity to reveal math’s conceptual foundations Redefines mathematics as an intellectual art that builds intricate ideas from elementary notions, spanning disciplines
Autor*in
Gordon Gillespie
Themen in »The Oracle of Numbers«
Rational numbers Irrational numbers Georg Candor Leibniz Special Relativity General Relativity Achilles tortoise Godel Continuum hypothesis Classical mechanics Newtonian mechanics Infinity