Felix Klein Quotes
Projective geometry has opened up for us with the greatest facility new territories in our science, and has rightly been called the royal road to our particular field of knowledge.
Klein, Felix. "A Comparative Review of Recent Researches in Geometry." Translated by M. W. Haskell, Bulletin of the New York Mathematical Society, vol. 2, no. 10, 1893, p. 216.
Modern science with its mathematical structures allows more and more predictions of the world and in some ways is like seeing into the future.
This quotation illustrates one of the major reasons politicians and laymen have difficulty making educational policy on mathematics education. It is the laws that govern mathematics and their structure that is most critical, not the ability to calculate and measure although the latter are important and useful by products.
The study of Geometry was considered fundamental and a prerequisite to the study of all science and philosophy.
Snow was one of the first people to call attention to problem of the intellectual gulf between most educated people and scientists. See {635971}. As politicians generally fall into the former group, they have had a particularly difficult dealing with scientific issues since the scientific revolution of the 20th century produced this cultural chasm.
This quotation was a milestone on scientific and technological development. For the first time in human history the smartest and most creative and visionary people, could not understand or comprehend the direction in which science and technology was moving. It now took people with specialized mathematical capability. Experience and intuitive insight was actually counter-productive in understanding the world as it was being revealed. Intelligence, creativity, perseverance and hard work, for the first time was insufficient. Education and training was the new requirement in addition to the others.
Spinoza’s ideas were considered so radical and dangerous that he was the only man in history who was excommunicated by the Catholics, the Jews and the Muslims.
Spinoza’s ideas were considered so radical and dangerous that he was the only man in history who was excommunicated by the Catholics, the Jews and the Muslims.
Christian Felix Klein was a German mathematician and mathematics educator, known for his work with group theory, complex analysis, non-Euclidean geometry, and on the associations between geometry and group theory. His 1872 Erlangen program, classifying geometries by their basic symmetry groups, was an influential synthesis of much of the mathematics of the time.
