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The notion of number line was formed in XX c. We consider the generation of this conception in works by M. Stiefel (1544), Galilei (1633), Euler (1748), Lambert (1766), Bolzano (1830-1834), Meray (1869-1872), Cantor (1872), Dedekind (1872),…

History and Overview · Mathematics 2017-10-17 Galina Sinkevich

This is an annotated translation from German of Untersuchung einer nach den Euler'schen Vorschlagen (1754) gebauten Wasserturbine [Investigation of a water turbine built according to Euler's proposals (1754)] that reports the tests results…

History and Philosophy of Physics · Physics 2021-08-30 Sylvio R Bistafa

In 1905 the well-known physicist Max Planck was coeditor of the Annalen der Physik, and he accepted Einstein's paper on light quanta for publication, even though he disliked the idea of "light quanta". Einstein's relativity paper was…

History and Philosophy of Physics · Physics 2013-07-09 Galina Weinstein

Professor Sir Karl Popper (1902-1994) was one of the most influential philosophers of science of the twentieth century. However, in his most famous work he displays misunderstandings of science and mathematics at a basic level.

History and Philosophy of Physics · Physics 2012-02-23 Alan B. Whiting

An account of the careers of the five women who completed a doctorate in mathematics in France before 1960 and became internationally known scientists, followed by a more general description of the place of women on the mathematical scene…

History and Overview · Mathematics 2015-02-27 Yvette Kosmann-Schwarzbach

This is a translation of Leonhard Euler's ``De quadratis magicis'' . It is E795 in the Enestrom index. This paper studies how to construct magic squares with certain numbers of cells, in particular 9, 16, 25 and 36. It considers some…

Combinatorics · Mathematics 2007-05-23 Leonhard Euler

Detlef D\"urr (1951-2021) was a theoretical and mathematical physicist who worked particularly on the foundations of quantum mechanics, electromagnetism, and statistical mechanics. This piece is a rather personal look back at him and his…

History and Philosophy of Physics · Physics 2024-05-08 Roderich Tumulka

In his monumental discoveries, the driving force for Einstein was, I believe, consistency of concept and principle rather than conflict with experiment. In this spirit, I would like to look at the journey from the classical to the…

General Physics · Physics 2007-05-23 Naresh Dadhich

I first met Louis Nirenberg in person in 1972 when I became a Courant Instructor. He was already a celebrated mathematician and a suave sophisticated New Yorker, even though he was born in Hamilton, Canada and grew up in Montreal. In this…

History and Overview · Mathematics 2021-05-19 Joel Spruck

The information-theoretic point of view proposed by Leibniz in 1686 and developed by algorithmic information theory (AIT) suggests that mathematics and physics are not that different. This will be a first-person account of some doubts and…

History and Overview · Mathematics 2007-05-23 G. J. Chaitin

J{\'e}r{\^o}me Lalande, a famous French astronomer in the 18th century, collaborated throughout his career with several female calculators in astronomy: Nicole Reine Lepaute, Marie Louise Dupi{\'e}ry and Marie Jeanne Lefran{\c c}ois. Taking…

History and Philosophy of Physics · Physics 2021-11-16 Isabelle Lémonon-Waxin

We describe an initiative at the University of Bonn, where the students develop and perform a 2 hour physics show for school classes and the general public. The show is entertaining and educational and is aimed at children aged 10 and…

Physics Education · Physics 2009-11-13 Herbert K. Dreiner

In the fall of 1924, Enrico Fermi visited Paul Ehrenfest at Leyden on a 3-month fellowship from the International Education Board (IEB). Fermi was 23 years old. In his trip report to the IEB, Fermi says he learned a lot about cryogenics and…

High Energy Physics - Theory · Physics 2017-08-23 Enrico Fermi

On November 18, 1915 Einstein reported to the Prussian Academy that the perihelion motion of Mercury is explained by his new General Theory of Relativity: Einstein found approximate solutions to his November 11, 1915 field equations.…

History and Philosophy of Physics · Physics 2014-12-02 Galina Weinstein

Johann Kepler (1571-1630) is sometimes considered as a precursor of science-fiction novels with the writing of "Somnium, sive opus posthumum of astronomia lunaris". In this work published posthumously in 1634 by his son Ludwig, Kepler…

History and Philosophy of Physics · Physics 2011-06-21 Jean-Pierre Luminet

The question of the authorship of Shakespeare's plays has long been debated. The two leading contenders are W. Shakspere (1564-1616) and Edward de Vere the 13th Earl of Oxford (1550-1604). Here I note that Shakespeare's references to…

History and Philosophy of Physics · Physics 2007-05-23 Eric Lewin Altschuler

We review the physics at the end of the nineteenth century and summarize the process of the establishment of Special Relativity by Albert Einstein in brief. Following in the giant's footsteps, we outline the scientific method which helps to…

History and Philosophy of Physics · Physics 2007-05-23 Y. H. Yuan

When Kurt Goedel layed the foundations of theoretical computer science in 1931, he also introduced essential concepts of the theory of Artificial Intelligence (AI). Although much of subsequent AI research has focused on heuristics, which…

Artificial Intelligence · Computer Science 2007-09-03 Juergen Schmidhuber

Childhood and Schooldays: Albert Einstein, and the family members seemed to have exaggerated the story of Albert who developed slowly, learned to talk late, and whose parents thought he was abnormal. These and other stories were adopted by…

History and Philosophy of Physics · Physics 2012-05-22 Galina Weinstein

One of the mayor topics in astronomy at the beginning of the 19th century was the interpretation of the observations of the first asteroids. In 1810 Christian Ludwig Gerling at the age of twenty two came to G\"ottingen University to…

History and Philosophy of Physics · Physics 2019-04-01 Julia Remchin , Andreas Schrimpf