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Century Quotes

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Century Quotes

“The increased abstraction in mathematics that took place during the early part of this century was paralleled by a similar trend in the arts. In both cases, the increased level of abstraction demands greater effort on the part of anyone who wants to understand the work.”

Want Art Levels Effort Cases Greater Century Demand Logic Mathematics Certainty Uncertainty Reasoning Trends Abstraction Ontology

Author:Keith Devlin

“Toward the end of his life, Gödel feared that he was being poisoned, and he starved himself to death. His theorem is one of the most extraordinary results in mathematics, or in any intellectual field in this century. If ever potential mental instability is detectable by genetic analysis, an embryo of someone with Kurt Gödel's gifts might be aborted.”

Ifs Ends Might Results Century Fields Intellectual Mathematics Extraordinary Analysis Instability Theorems Embryos

Book:The Ascent of Science

Source: The Ascent of Science

“It took the mob only a moment to remove his head; a century will not suffice to reproduce it.”

Moments Century Mathematics Math Mathematical Remove

Author:Joseph-Louis Lagrange

“Over the centuries, monumental upheavals in science have emerged time and again from following the leads set out by mathematics.”

Century Mathematics Following Upheaval

Author:Brian Greene

“There is plenty of room left for exact experiment in art, and the gate has been opened for some time. What had been accomplished in music by the end of the eighteenth century has only begun in the fine arts. Mathematics and physics have given us a clue in the form of rules to be strictly observed or departed from, as the case may be. Here salutary discipline is come to grips first of all with the function of forms, and not with form as the final result … in this way we learn how to look beyond the surface and get to the root of things.”

“The three main medieval points of view regarding universals are designated by historians as realism, conceptualism, and nominalism. Essentially these same three doctrines reappear in twentieth-century surveys of the philosophy of mathematics under the new names logicism, intuitionism, and formalism.”

Philosophy Reality Three Names Views Century Mathematics Point Of View Doctrine Historian Realism Twentieth Century Medieval Surveys

Author:Willard Van Orman Quine

“Two centuries ago Carl Friedrich Gauss, one of the greatest mathematicians and a founder of number theory, described his brainchild as "the queen of mathematics." Queens are regal, but they are also largely decorative, and this nuance was not lost on Gauss.”

Art Two Lost Numbers Beauty Century Theory Mathematics Queens Aesthetic Founders Mathematician Nuance Regal

Author:Ian Stewart

“The proof of Fermat's Last Theorem underscores how stable mathematics is through the centuries - how mathematics is one of humanity's long continuous conversations with itself.”

Long Lasts Humanity Century Conversation Mathematics Proof Stable Theorems

Author:Barry Mazur

“Music, for centuries and centuries, was used to teach everything. It was used to teach language, mathematics, history. The news was music. Everything traveled by song. It was used to teach ethics. It was used to create conscience, probably more than anything.”

Used Song Language Teach Century News Ethics Conscience Mathematics Traveled

Author:T Bone Burnett

“Is mathematics doomed to suffer the same fate as other sciences that have split into separate branches?... Mathematics is, in my opinion, an indivisible whole... May the new century bring with it ingenious champions and many zealous and enthusiastic disciples.”

May Whole Suffering Opinion Fate Century Mathematics Champion Branches Splits Doomed Disciple Enthusiastic Ingenious Indivisible Zealous

Author:David Hilbert

“Though determinants and matrices received a great deal of attention in the nineteenth century and thousands of papers were written on these subjects, they do not constitute great innovations in mathematics.... Neither determinants nor matrices have influenced deeply the course of mathematics despite their utility as compact expressions and despite the suggestiveness of matrices as concrete groups for the discernment of general theorems of group theory.”

Source: Mathematical Thought From Ancient to Modern Times

“For centuries, everything was taught through music. History was taught through music; language and mathematics were taught through music.”

Language Century Taught Mathematics

Author:T Bone Burnett