Arquímedes y Hui Liu en torno a círculos y esferas

This article describes the mystery of a long lost codex of Archimedes that resurfaced briefly at the turn of the last century by Johan Ludwig Heiberg. Long enough for the Danish historian of mathematics Heiberg to identify, photograph and eventually transcribe “The Method” and several other works by Archimedes of considerable mathematical interest. In 1879 Heiberg completed his dissertation, Quaestiones Archimedeae, devoted to Archimedes’ life, works, and transmission of his texts.Este artículo describe el misterio de un códice de Arquímedes perdido hace mucho tiempo que reapareció brevemente a principios del siglo pasado de la mano de Johan Ludwig Heiberg. Tiempo suficiente para que el historiador danés de las matemáticas Heiberg pudiese identificar, fotografiar y, finalmente, transcribir “El Método” y varias otras obras de Arquímedes de interés matemático considerable. En 1879 Heiberg completó su tesis doctoral, Quaestiones Archimedeae, dedicado a la vida de Arquímedes, las obras, y la transmisión de sus textos

Archimedes and Liu Hui on Circles and Spheres

This article describes the mystery of a long lost codex of Archimedes that resurfaced briefly at the turn of the last century by Johan Ludwig Heiberg. Long enough for the Danish historian of mathematics Heiberg to identify, photograph and eventually transcribe "The Method" and several other works by Archimedes of considerable mathematical interest. In 1879 Heiberg completed his dissertation, Quaestiones Archimedeae, devoted to Archimedes' life, works, and transmission of his texts.Este artículo describe el misterio de un códice de Arquímedes perdido hace mucho tiempo que reapareció brevemente a principios del siglo pasado de la mano de Johan Ludwig Heiberg. Tiempo suficiente para que el historiador danés de las matemáticas Heiberg pudiese identificar, fotografiar y, finalmente, transcribir "El Método" y varias otras obras de Arquímedes de interés matemático considerable. En 1879 Heiberg completó su tesis doctoral, Quaestiones Archimedeae, dedicado a la vida de Arquímedes, las obras, y la transmisión de sus textos

The unreasonable effectiveness of mathematics: Cartesian linguistics, the mind-body problem and pragmatic evolution

Victor Gomez-Pin highlighted succincty one object of the second Congress on Ontology held in San Sebastián and Barcelona in March of 1996 -by raising two questions due to Husserl about Descartes, namely: is there a persistent value to Descarte's most basic ideas? And if so, can they stimulete new, powerful ideas in our era? Indeed, one of the most interesting and fundamental puzzles that Descartes was the first to face with any success is the nature of the connections between mind and body, and the relevance of mathematics to both. It was the physicist Eugene Wigner, however, who called it the "unreasonable" elfectiveness of mathematics, by which he had in mind above all the powerful applications of mathematics to physics, which have proven crucial for the advance of modem science.1 The Greeks showed and early interest in these most basic questions of ontology and eplstemology, and from the answers given by such ligures as the Pythagoreans and Plato in antiquity, it is clear that mathematics played a fundamental part in their analysis and understanding of nature

Stevin numbers and reality

We explore the potential of Simon Stevin's numbers, obscured by shifting foundational biases and by 19th century developments in the arithmetisation of analysis.Comment: 22 pages, 4 figures. arXiv admin note: text overlap with arXiv:1104.0375, arXiv:1108.2885, arXiv:1108.420

Leibnizian, Robinsonian, and Boolean Valued Monads

This is an overview of the present-day versions of monadology with some applications to vector lattices and linear inequalities.Comment: This is a talk prepared for the 20th St. Petersburg Summer Meeting in Mathematical Analysis, June 24-29, 201

Kohlenwasserstoffverbrückte Komplexe, XXV

Hydrocarbon-Bridged Complexes, XXV. - C-C Coupling of Anionic Tricarbonyl Manganese Complexes of Cyclic Polyenes with Cationic Tropylium Metal Compounds; Preparation and Structure of (OC)3Mn(-5:6-C7H8-C7H7)M(CO)3, (OC)3Mn(-5:6-C8H10-C7H7)M(CO)3, and (OC)3Mn(-5:5-C8H8-C7H7)M(CO)3 (M = Cr, Mo, W)[Note ] The addition of the anionic complexes [(4-C7H8)Mn(CO)3]-, [(4-C8H10)Mn(CO)3]- and [(4-C8H8)Mn(CO)3]- to the cations [(7-C7H7)M(CO)3]+ (M = Cr, Mo, W) gives the hydrocarbon-bridged complexes (OC)3Mn(-5:6-C7H8-C7H7)M(CO)3, (OC)3Mn(-5:6-C8H10-C7H7)M(CO)3, and (OC)3Mn(-5:6-C8H8-C7H7)M(CO)3 (M = Cr, Mo, W). The structures of 4b and 6a have been determined by X-ray diffraction