9780691136103
Plato's Ghost - The Modernist Transformation Of Mathematics - Jeremy Gray
Princeton University Press (2008)
In Collection
#5123

Read It:
Yes
Aesthetics, Modern, Aesthetics, Modern/ 19th Century, Mathematics, Mathematics/ History/ 19th Century, Mathematics/ Philosophy

Plato's Ghostis the first book to examine the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music. Jeremy Gray traces the growth of mathematical modernism from its roots in problem solving and theory to its interactions with physics, philosophy, theology, psychology, and ideas about real and artificial languages. He shows how mathematics was popularized, and explains how mathematical modernism not only gave expression to the work of mathematicians and the professional image they sought to create for themselves, but how modernism also introduced deeper and ultimately unanswerable questions. Plato's Ghostevokes Yeats's lament that any claim to worldly perfection inevitably is proven wrong by the philosopher's ghost; Gray demonstrates how modernist mathematicians believed they had advanced further than anyone before them, only to make more profound mistakes. He tells for the first time the story of these ambitious and brilliant mathematicians, including Julius Dedekind, Henri Lebesgue, Jules Henri Poincareacute;, and many others. He describes the lively debates surrounding novel objects, definitions, and proofs in mathematics arising from the use of naiuml;ve set theory and the revived axiomatic method--debates that spilled over into contemporary arguments in philosophy and the sciences and drove an upsurge of popular writing on mathematics. And he looks at mathematics after World War I, including the foundational crisis and mathematical Platonism. Plato's Ghostis essential reading for mathematicians and historians, and will appeal to anyone interested in the development of modern mathematics.

Product Details
LoC Classification QA26 .G73 2008
Dewey 510.9034
Format Hardcover
Cover Price 45,00 €
No. of Pages 526
Height x Width 260 x 178 mm