The great influence of Georg Cantor's theory of sets and transfinite arithmetic has led to a considerable interest in his life. It is well known that he had a remarkable and unusual personality, and that he suffered from attacks of mental illness; but the ‘popular’ account of his life is richer in falsehood and distortion than in factual content. This paper attempts to correct these misrepresentations by drawing on a wide variety of manuscript sources concerning Cantor's life and career, including (...) the texts of some important documents. An appendix describes the most important collection of missing manuscripts, whose location would help further the preparation of a biographical study of Cantor. (shrink)

One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfinite sets.

avec de nombreux textes inédits Pierre Dugac. APPENDICE XVII Wilhelm WEBER : Brie)'e an Richard Dedekind (Cod. Ms. Richard Dedekind 14, II; Niedersàchsische Staats- und Universitàts- bibliothek Gôttingen) Gôttingen 10. Aug.

Hermann Grassmann's ideas on the nature and foundations of mathematics were published as an integral part of his mathematical treatise, the Ausdehnungslehre, in 1844. In spite of its notoriously obscure style we can better understand the work if we view it as an expression of the dialectical philosophy of his mentor, the theologian F. Schleiermacher. The relation to Schleiermacher is presented here through an analysis of the principal ideas of the Ausdehnungslehre.

Introduction: the age of reflexion Part I. Romanticism: 1. Romanticism and the sciences David Knight 2. Schelling and the origins of his Naturphilosophie S. R. Morgan 3. Romantic philosophy and the organization of the disciplines: the founding of the Humboldt University of Berlin Elinor S. Shaffer 4. Historical consciousness in the German Romantic Naturforschung Dietrich Von Engelhardt 5. Theology and the sciences in the German Romantic period Frederick Gregory 6. Genius in Romantic natural philosophy Simon Shaffer Part II. Sciences of (...) the Organic: 7. Doctors contra clysters and feudalism: the consequences of a Romantic revolution Nelly Tsouyopoulos 8. Morphotypes and the historical-genetic method in Romantic biology Timothy Lenoir 9. ’Metaphorical mystifications’: the Romantic gestation of nature in British biology Evelleen Richards 10. Transcendental anatomy Philip F. Rehbock 11. Romantic thought and the origins of cell theory L. S. Jacyna 12. Alexander von Humbolt and the geography of vegetation Malcolm Nicholson Part III. Sciences of the Inorganic: 13. Goethe, colour, and the science of seeing Dennis L. Sepper 14. Johann Wilhelm Ritter: Romantic physics in Germany Walter D. Wetzels 15. The power and the glory: Humphrey Davy and Romanticism Christopher Lawrence 16. Oersted’s discovery of electromagnetism H. A. M. Snelders 17. Caves, fossils and the history of the earth Nicholas A. Rupke Part IV. Literature and the Sciences: 18. Goethe’s use of chemical theory in his Elective Affinities Jeremy Adler 19. Kleist’s bedlam: abnormal psychology and psychiatry in the works of Heinrich von Kleist Nigel Reeves 20. Coleridge and the sciences Trevor H. Levere 21. Nature’s book: the language of science in the American Renaissance David van Leer 22. The shattered whole: Georg Buchner and Naturphilosophie John Reddick. (shrink)