The Birth of Mathematics in the Age of Plato
Author : François Lasserre
Publisher :
Page : 200 pages
File Size : 33,62 MB
Release : 1966
Category : Mathematics
ISBN :
Author : François Lasserre
Publisher :
Page : 200 pages
File Size : 33,62 MB
Release : 1966
Category : Mathematics
ISBN :
Author : Roger Sworder
Publisher :
Page : 130 pages
File Size : 11,60 MB
Release : 2013
Category : Philosophy
ISBN : 9781597311380
Plato is the first scientist whose work we still possess. He is our first writer to interpret the natural world mathematically, and also the first theorist of mathematics in the natural sciences. As no one else before or after, he set out why we should suppose a link between nature and mathematics, a link that has never been stronger than it is today. Mathematical Plato examines how Plato organized and justified the principles, terms, and methods of our mathematical, natural science. "Roger Sworder deserves our gratitude for drawing attention to the significance of mathematics in Plato's thought and writings. He lays the principal discussions out before us with clarity. He also presents Plato as a theorist of nature: of physics and not just metaphysics, to use Aristotle's distinction. Not all readers, we should admit, will be equally convinced of the usefulness of Plato's science for today, but they will all be led more deeply into Plato's vision of reality."--ANDREW DAVISON, Westcott House, Cambridge "Here is Plato for an anti-Platonic age. The author gives careful attention to some of the most important passages in the Platonic dialogues and offers new solutions to some of Plato's most famous mathematical puzzles. He then considers the implications of these penetrating studies for the philosophy of science, and the natural sciences especially. This is a book that revivifies the core themes of Platonism and restores science to worship. It shows Roger Sworder to be one of the foremost students of Plato writing today, and places him in the noble tradition of Thomas Taylor."--RODNEY BLACKHIRST, author of Primordial Alchemy and Modern Religion: Essays on Traditional Cosmology
Author : Morris Kline
Publisher : Oxford University Press
Page : 434 pages
File Size : 46,61 MB
Release : 1990-03-01
Category : Mathematics
ISBN : 0199770468
The major creations and developments in mathematics from the beginnings in Babylonia and Egypt through the first few decades of the twentieth century are presented with clarity and precision in this comprehensive historical study.
Author : Mary Gow
Publisher : Enslow Publishing, LLC
Page : 132 pages
File Size : 24,93 MB
Release : 2010-07-01
Category : Juvenile Nonfiction
ISBN : 9780766031197
Follows the life and teachings of the philosopher Plato, one of the world's greatest thinkers, who in his writings taught us to question what we think we know.
Author : Jeremy Gray
Publisher : Princeton University Press
Page : 528 pages
File Size : 41,81 MB
Release : 2008-09-02
Category : Mathematics
ISBN : 1400829046
Plato's Ghost is 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 Ghost evokes 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 Richard Dedekind, Henri Lebesgue, Henri Poincaré, and many others. He describes the lively debates surrounding novel objects, definitions, and proofs in mathematics arising from the use of naïve 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 Ghost is essential reading for mathematicians and historians, and will appeal to anyone interested in the development of modern mathematics.
Author : John Joseph Cleary
Publisher : BRILL
Page : 640 pages
File Size : 31,9 MB
Release : 2013
Category : Philosophy
ISBN : 9004233237
John J. Cleary (1949 2009) was an internationally recognised authority in ancient Greek philosophy. This volume of penetrating studies of Plato, Aristotle, and Proclus, philosophy of mathematics, and ancient theories of education, display Cleary s range of expertise and originality of approach.
Author : Euclid
Publisher :
Page : 544 pages
File Size : 10,78 MB
Release : 2002
Category : Mathematics
ISBN :
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Author : Jan von Plato
Publisher : Princeton University Press
Page : 400 pages
File Size : 40,2 MB
Release : 2017-08-02
Category : Science
ISBN : 1400885035
The information age owes its existence to a little-known but crucial development, the theoretical study of logic and the foundations of mathematics. The Great Formal Machinery Works draws on original sources and rare archival materials to trace the history of the theories of deduction and computation that laid the logical foundations for the digital revolution. Jan von Plato examines the contributions of figures such as Aristotle; the nineteenth-century German polymath Hermann Grassmann; George Boole, whose Boolean logic would prove essential to programming languages and computing; Ernst Schröder, best known for his work on algebraic logic; and Giuseppe Peano, cofounder of mathematical logic. Von Plato shows how the idea of a formal proof in mathematics emerged gradually in the second half of the nineteenth century, hand in hand with the notion of a formal process of computation. A turning point was reached by 1930, when Kurt Gödel conceived his celebrated incompleteness theorems. They were an enormous boost to the study of formal languages and computability, which were brought to perfection by the end of the 1930s with precise theories of formal languages and formal deduction and parallel theories of algorithmic computability. Von Plato describes how the first theoretical ideas of a computer soon emerged in the work of Alan Turing in 1936 and John von Neumann some years later. Shedding new light on this crucial chapter in the history of science, The Great Formal Machinery Works is essential reading for students and researchers in logic, mathematics, and computer science.
Author : Bharath Sriraman
Publisher : Birkhäuser
Page : 357 pages
File Size : 28,82 MB
Release : 2017-11-07
Category : Mathematics
ISBN : 331961231X
This Festschrift contains numerous colorful and eclectic essays from well-known mathematicians, philosophers, logicians, and linguists celebrating the 90th birthday of Reuben Hersh. The essays offer, in part, attempts to answer the following questions set forth by Reuben himself as a focus for this volume: Can practicing mathematicians, as such, contribute anything to the philosophy of math? Can or should philosophers of math, as such, say anything to practicing mathematicians? Twenty or fifty years from now, what will be similar, and what will, or could, or should be altogether different: About the philosophy of math? About math education? About math research institutions? About data processing and scientific computing? The essays also offer glimpses into Reuben’s fertile mind and his lasting influence on the mathematical community, as well as revealing the diverse roots, obstacles and philosophical dispositions that characterize the working lives of mathematicians. With contributions from a veritable “who’s who” list of 20th century luminaries from mathematics and philosophy, as well as from Reuben himself, this volume will appeal to a wide variety of readers from curious undergraduates to prominent mathematicians.
Author : Jacob Klein
Publisher : Courier Corporation
Page : 246 pages
File Size : 20,45 MB
Release : 2013-04-22
Category : Mathematics
ISBN : 0486319814
Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.