Geometrie Und Erfahrung

More than fifty years after his death, Albert Einstein's vital engagement with the world continues to inspire others, spurring conversations, projects, and research, in the sciences as well as the humanities. Einstein for the 21st Century shows us why he remains a figure of fascination. In this wide-ranging collection, eminent artists, historians, scientists, and social scientists describe Einstein's influence on their work, and consider his relevance for the future. Scientists discuss how Einstein's vision continues to motivate them, whether in their quest for a fundamental description of nature or in their investigations in chaos theory; art scholars and artists explore his ties to modern aesthetics; a music historian probes Einstein's musical tastes and relates them to his outlook in science; historians explore the interconnections between Einstein's politics, physics, and philosophy; and other contributors examine his impact on the innovations of our time. Uniquely cross-disciplinary, Einstein for the 21st Century serves as a testament to his legacy and speaks to everyone with an interest in his work. The contributors are Leon Botstein, Lorraine Daston, E. L. Doctorow, Yehuda Elkana, Yaron Ezrahi, Michael L. Friedman, Jürg Fröhlich, Peter L. Galison, David Gross, Hanoch Gutfreund, Linda D. Henderson, Dudley Herschbach, Gerald Holton, Caroline Jones, Susan Neiman, Lisa Randall, Jürgen Renn, Matthew Ritchie, Silvan S. Schweber, and A. Douglas Stone.

Solo quiero referir a una opinión de Einstein, este magnífico matemático y hombre de bien. Se le preguntó por qué la mayoría de los estudiantes se les dificultaba el estudio de las matemáticas. Einstein se concretó a decir "La dificultad de las mentes juveniles para entender la matemática estriba en que no han sido suficientemente educadas en el sentimiento del ritmo" Ciertamente, las matemáticas, llevan un ritmo interior, el más profundo que sólo la visión del universo puede entregar a la mente y a la contemplación del intelecto. El arte ornamental siempre se ha proyectado hacia fuera, en cambio, el arte ornamental en la matemática, corresponde únicamente al campo interno del espíritu, a la región de los pensamientos en su más pura manifestación. Las matemáticas son un elemento vital en la vida del hombre, están relacionadas con su producción artística filosófica y en el transcurrir de los siglos pueden interpretarse como una manifestación pura y diáfana de ese ritmo que ha dominado a los pensamientos. DR. ADALBERTO GARCÍA DE MENDOZA

"Edgar Wind was one of the most distinguished art historians and philosophers of the twentieth century. He made crucial contributions to debates on aesthetics and on the interdisciplinary nature of cultural history involving such other leading figures as Ernst Cassirer and Erwin Panofsky. It is not always realised, however, that his early thinking was moulded by a concern with the German philosophical tradition, culminating in the analysis of the meaning and function of scientific experimentation and proof. This first edition in English of Edgar Wind's important work Das Experiment und die Metaphysik: Zur Auflosung der kosmologischen Antinomien (1934) also carries a new introduction by Matthew Rampley, placing Wind's philosophical thinking in context. The work is being published to coincide with the opening in 2000 of the Sackler Library at Oxford, which will include a Wind Reading Room."

This volume contains contributions to the "systematic study of knowledge." They suggest both an extension and a new path for classical epistemology. The topics in the first volume are the following: concepts and forms of knowledge, epistemic perspectivism, knowledge and world-views, perceptual knowledge, scientific knowledge, models in science, distributed and integrated knowledge, interaction of forms of knowledge, and relation between forms of knowledge and forms of representation.

[1977] Hermann von Helmholtz in the History of Scientific Method In 1921, the centenary of Helmholtz' birth, Paul Hertz, a physicist, and Moritz Schlick, a philosopher, published a selection of his papers and lectures on the philosophical foundations of the sciences, under the title Schriften zur Erkenntnistheorie. Combining qualities of respect and criticism that Helmholtz would have demanded, Hertz and Schlick scrupulously annotated the texts. Their edition of Helmholtz was of historical influence, comparable to the influence among contemporary mathematicians and philosophers of Hermann Weyl's annotated edition in 1919 of Riemann's great dissertation of 1854 on the foundations of geometry. For several reasons, we are pleased to be able to bring this Schlick/ Hertz edition to the English-reading world: first, and primary, to honor the memory of Hermann von Helmholtz; second, as writings of historical value, to deepen the understanding of mathematics and the natural sciences, as well as of psychology and philosophy, in the 19th centur- for Helmholtz must be comprehended within at least that wide a range; third, with Schlick, to understand the developing empiricist philosophy of science in the early 20th century; and fourth, to bring the contributions of Schlick, Hertz, and Helmholtz to methodological debate in our own time, a half century later, long after the rise and consolidation of logical empiricism, the explosion of physics since Planck and Einstein, and the development of psychology since Freud and Pavlov.

Henri Poincare (1854-1912) was one of the greatest scientists of his time, perhaps the last one to have mastered and expanded almost all areas in mathematics and theoretical physics. In this book, twenty world experts present one part of Poincare's extraordinary work. Each chapter treats one theme, presenting Poincare's approach, and achievements.

Logical empiricism remains a strong influence in the philosophy of science, despite the discipline's shift toward more historical and naturalistic approaches. This latest volume in the eminent Minnesota Studies in the Philosophy of Science series examines the main features of the intellectual milieu from which logical empiricism sprang, providing the first critical exploration of this context by authors within the Anglo-American analytic tradition of philosophy. These articles challenge the idea that logical empiricism has its origins in traditional British empiricism, pointing instead to a movement of scientific philosophy that flourished in the German-speaking areas of Europe in the first four decades of the twentieth century. The intellectual refugees from the Third Reich who brought logical empiricism to North America did so in an environment influenced by Einstein's new physics, the ascension of modern logic, the birth of the social sciences as rivals to traditional humanistic philosophy, and other large-scale social, political, and cultural themes.