The philosophy of mathematics has been accused of paying insufficient attention to mathematical practice: one way to cope with the problem, the one we will follow in this paper on extensive magnitudes, is to combine the `history of ideas' and the `philosophy of models' in a logical and epistemological perspective. The history of ideas allows the reconstruction of the theory of extensive magnitudes as a theory of ordered algebraic structures; the philosophy of models allows an investigation into the way epistemology (...) might affect relevant mathematical notions. The article takes two historical examples as a starting point for the investigation of the role of numerical models in the construction of a system of non-Archimedean magnitudes. A brief exposition of the theories developed by Giuseppe Veronese and by Rodolfo Bettazzi at the end of the 19th century will throw new light on the role played by magnitudes and numbers in the development of the concept of a non-Archimedean order. Different ways of introducing non-Archimedean models will be compared and the influence of epistemological models will be evaluated. Particular attention will be devoted to the comparison between the models that oriented Veronese's and Bettazzi's works and the mathematical theories they developed, but also to the analysis of the way epistemological beliefs affected the concepts of continuity and measurement. (shrink)

Diaristic, mixed notes on: John Ruskin's The Poetry of Architecture (1837) and Modern Painters (1885); Caravaggio, Victorian Aesthetes, G.K. Chesterton, and Tacita Dean; Jay Fellows' Ruskin’s Maze: Mastery and Madness in His Art (1981); Slavoj Žižek at Jack Tilton Gallery, New York, New York, USA, April 23, 2009, “Architectural Parallax: Spandrels and Other Phenomena of Class Struggle”; “Titian, Tintoretto, Veronese: Rivals in Renaissance Venice”, Museum of Fine Arts, Boston, Massachusetts, USA, March 15-August 16, 2009; Janet Harbord, Chris Marker: La (...) Jetée (2009); The Politics of the Envelope, Princeton Envelope Group (PEG), ARC504, Princeton School of Architecture, Princeton, New Jersey, USA, Friday, May 8, 2009; Rhode Island School of Design, Degree Project Reviews, Division of Architecture & Design, Providence, Rhode Island, USA, May 16, 2009; etc. (shrink)

The Louvre Museum is the largest of the world's art museums by its exhibition surface. These represent the Western art of the Middle Ages in 1848, those of the ancient civilizations that preceded and influenced it (Oriental, Egyptian, Greek, Etruscan and Roman), and the arts of early Christians and Islam. At the origin of the Louvre existed a castle, built by King Philip Augustus in 1190, and occupying the southwest quarter of the current Cour Carrée. In 1594, Henri IV decided (...) to unite the palace of the Louvre with the palace of the Tuileries built by Catherine de Medicis. The Cour Carrée was built by the architects Lemercier and then Le Vau, under the reign of Louis XIII and Louis XIV. The Department of Paintings currently has about 7,500 paintings (of which 3,400 are exposed), covering a period that goes from the Middle Ages to 1848 (date of the beginning of the Second Republic). By including the deposits, the collection is, with 12,660 works, the largest collection of ancient paintings in the world. With rare exceptions, the works after 1848 were transferred to the Musée d'Orsay when it was created in 1986. CONTENTS: Louvre Museum - Variety of exhibited works - The Royal Palace - The collections - - Eastern antiquities - - Arts of Islam - - Egyptian Antiquities - - Greek, Etruscan and Roman Antiquities - - Paintings - - - French school - - - Northern Schools (Flanders, Netherlands, Germany) - - - Italian School - - - Other schools Painting - Definitions - Painting genres - - The landscape - - Still life Paintings - FRANCOIS BOUCHER - - Vulcan presenting arms to Venus for Aeneas - RAPHAEL - - Portrait of Baldassare Castiglione - RUBENS - - Helena Fourment with children - LOUIS DAVID - - Madame Récamier - REMBRANDT - - Portrait of Heindrickje Stoffels - VELAZQUEZ - - Portrait of the Infanta Margarita - SIMONE MEMMI - - Jesus Christ walking on Calvary - JAN STEEN - - The Bad Company - HANS HOLBEIN - - Erasmus - CORREGGIO - - Mystic Marriage of Saint Catherine - LANCRET - - Conversation - JAN VAN DER MEER (VERMEER) - - The Lacemaker - VAN DYCK - - Charles I at the Hunt - FRANÇOIS CLOUET - - Elisabeth of Austria (1554-1592), Wife of Charles IX and Queen of France (1570 - 1574) - DELACROIX - - The Barque of Dante - EL GRECO - - Saint Louis, King of France, and a page - REMBRANDT - - Pilgrims at Emmaus (The Supper at Emmaus) - GERARD DAVID - - Marriage at Cana - RAPHAEL - - Portrait of Dona Isabel de Requesens, Vice-Queen of Naples - RUBENS - - La Kermesse (The Village Fête, or Noce de village) - FRANS HALS - - The Gypsy Girl - DECAMPS - - The Sonneurs - HOLBEIN THE YOUNGER - - Anne of Cleves - P. PRUD’HON - - Psyche transported to Heaven - PHILIPPE DE CHAMPAIGNE - - Portrait of Richelieu - LANCRET - - The Autumn - L. DAVID - - Madame Seriziat - COROT - - Recollection of Mortefontaine - LEONARDO DA VINCI - - La belle ferronnière - CORREGGIO - - Venus and Cupid with a Satyr - WATTEAU - - Pilgrimage to Cythera (The Embarkation for Cythera) - NICOLAS POUSSIN - - The Inspiration of the Poet - PRUD’HON - - The Empress Josephine (1763-1814) - FRAGONARD - - The Bathers - H. RIGAUD - - Louis XIV (1638–1715) - TERBURG - - The Concert - LEOPOLD ROBERT - - The Pilgrimage to the Madonna of the Arch - LARGILLIERE - - Family Portrait - MANTEGNA - - Parnassus - MEMLING - - The Virgin and Child between St James and St Dominic - FRAGONARD - - The Music Lesson - JEAN VAN EYCK - - The Virgin of chancellor Rolin - PAOLO VERONESE - - Susannah and the Elders - FRANÇOIS BOUCHER - - Diana leaving her bath - GÉRICAULT - - The Raft of the Medusa - MURILLO - - Assumption of the Virgin - CLAUDE GELLEE (LORRAIN) - - Ulysses returning Chryseis to her father (Marine, setting sun) - INGRES - - Madame Riviere - E. MURILLO - - The Young Beggar - GREUZE - - The Broken Pitcher - PIETER DE HOOCH - - Card players in an opulent interior - POUSSIN - - Et in Arcadia ego - QUENTIN MATSYS - - The moneylender and his wife - ANDREA SOLARIO - - Madonna with the Green Cushion - TITIEN - - Woman with a Mirror - DAVID TENIERS (the Younger) - - The Works of Mercy - LEONARDO DA VINCI - - Mona Lisa (La Gioconda) - Armand Dayot . (shrink)