I Science Around 1800: Cognitive and Social Change.- Some Patterns of Change in the Baconian Sciences of the Early 19th Century Germany.- From Celestial Mechanics to Social Physics: Discontinuity in the Development of the Sciences in the Early Nineteenth Century.- 1802 - "Biologie" et Médecine.- Ontologic Foundation of Scientific Knowledge in Seventeenth- and Eighteenth-Century Rationalism.- Hermann von Helmholtz: A Physiological Approach to the Theory of Knowledge.- On "Science as a Language".- The Historical Conditions and Features of the Development of Natural Science in Russia in the First Half of the 19th Century.- The Prussian Professoriate and the Research Imperative, 1790 - 1840.- European Natural Science. (The Beginning of the 19th Century).- Science, Knowledge, and the Reproduction of the Social Capacity For Labour.- II Science and Education.- Teaching Method and Justification of Knowledge: C. Ritter - J.H. Pestalozzi.- Possibilities and Limits of the Prussian School Reform at the Beginning of the 19th Century.- Qualitative and Quantitative Aspects of Curricula in Prussian Grammar Schools During the Late 18th and Early 19th Centuries and Their Relation to the Development of the Sciences.- Some Aspects of the Development of Mathematics at the University of Halle-Wittenberg in the Early 19th Century.- Justus Grassmann's School Programs as Mathematical Antecedents of Hermann Grassmann's 1844 'Ausdehnungslehre'.- On Education as a Mediating Element Between Development and Application: The Plans For the Berlin Polytechnical Institute (1817 - 1850).- III Mathematics in the Early 19th Century.- Mathematics and the Moral Sciences: The Rise and Fall of the Probability of Judgments, 1785 - 1840.- Changing Attitudes Toward Mathematical Rigor:Lagrange and Analysis in the Eighteenth and Nineteenth Centuries.- The Origins of Pure Mathematics.- Mathematical Physics in France, 1800 - 1835.- Mathematics in Germany and France in the Early 19th Century: Transmission and Transformation.- Mathematicians in Germany Circa 1800.- Name Index.- List of Participants.