Social and Cultural History of Science DEp00W 10 March 2022 What is good science? • Karl Popper: falsification, questioning the result • Bruno Latour: possibility to repeat experiment • Positivism as a measure for the quality of science • Rational thinking gained importance over other kinds of thinking • Mathematics as an example of correct thinking (the?!? example?) • The process of mathematization: also done in school mathematics (word problems) • Physics and mathematics intimately connected, not other natural sciences, let alone social sciences and the humanities Tomáš Garrigue Masaryk (1850-1937) • First president of Czechoslovakia (68 years old) • Studied philosophy • Met Edmind Husserl – and influenced Husserl as an older friend and a co-patriot (both from Moravia) • Wife: Charlotte Garrigue, American pianist • 1882: professorship in Prague • Inaugural lecture: Theory of probability and sceptical thinking of Hume -- promoted new logic: based on probability calculus Edmund Husserl (1859-1938) • General Introduction to Pure Phenomenology (1913) Francis Bacon (1561-1626) • Classification of sciences • New Organon (ref. to Organon – Aristotle) • Instaurato Magna (1620) – a comprehensive plan to reorganise science • Politician, lawyer, philosopher, statement René Descartes (1596-1650) • Discourse on Method (1937) • Three essays: • Dioptrics • Geometry • Meteorology • NEW: not written in Latin, but in French • „Everyone could tell true or false by the natural light of REASON.“ • Cogito, ergo sum. / I think, therefore I am. Immanuel Kant (1724-1804) • Influenced by René Descartes and Francis Bacon (rationalism and empiricism) • Critique of Pure Reason (1781) – revised with further works Georg Wilhelm Friedrich Hegel • 1770-1831 • German philosopher Alexandre Koyré (1892-1964) • Russian-born French philosopher and historian of science • 1909 – went to Göttingen to study with Husserl • Later – Paris – Léon Brunschvig • Opposed the October 1917 revolution • 1919 left Russia permanently • Taught religion and philosophy in Paris • Worked on Hegel Robert K. Merton (1910-2003) • American sociologist • 1936 Ph.D. Harvard • 1938 Science, Technology and Society in 17th C. England • 1941 Columbia University – professor of sociology • 1942-1971 Bureau of Applied Social Research • 1949 Social Theory and Social Structure • Revised 1968 • 1946 Mass Persuasion • 1965 On the Shoulders of Giants • 1973 The Sociology of Science Boris Hessen (1893-1936) • 1931 – The Social and Economic Roots of Newton‘s Principia • A. N. Whitehead (mathematician) on Newton: „Newton was born in the year when Galileo died.“ (Science and Civilisation) Boris Hessen: technology, industry, communication, etc., including class struggle Social History of Mathematics Henk J. M. Bos (*1940) and Herbert Mehrtens (1946-2021) -historians of mathematics Role of history of mathematics (and also of science) – raise awareness, call for reflection Debates within history of science: internal vs. external – mathematics untouched New issues: The interactions of mathematics and society in history (1977) Social history of 19th Century Mathematics (1990)