PPT-History & Philosophy of Calculus, Session 4

The Integral In this session we meet integration which in a sense is one half of the thing called calculus In the next session we meet the other half so at that point we will at last have explained what calculus is. philosophy encourages introspection and relative isolation because philosophy is not seen as directly relevant to the scientific concerns which prevail in the wider world. As a result, once the main o Chinese Philosophy. Philosophy has had a tremendous effect on Chinese civilization, and East Asia as a whole. . Many of the great philosophical schools were formulated during the Spring and Autumn Period and Warring States Period, and came to be known as the Hundred Schools of Thought. . “. Krimskrams: Hegel and the Current Controversy about the Beginnings of Philosophy. ”. A Presentation for PHIL 317 by John Doe. The Thesis. In his article, . Bernasconi. sets out to examine the status of the . 8. Newton & Leibniz. History & Philosophy of Calculus, Session . 8. The invention of the calculus. Newton and Leibniz in 17. th. Century invented the algorithmic procedures underlying the calculus. Newton & Leibniz. Summary. Calculus seems to demand some concept of the infinitesimal. Magnitude. New number. Or both?. But infinitesimals lack . clarity . Concepts that are not mathematical being used to interpret mathematics?. 6. Conceptual Issues in the . deveopment. of the Calculus. Piecemeal technical breakthroughs over the centuries. Especially algebra & its logical power. Shifted the focus to new techniques & what could be accomplished. The Return of the Infinitesimal?. So far on this course we’ve stayed close to mainstream mathematics.. In this final session we look at some more “fancy” material, much of it very recent.. These aren’t just techniques for doing complicated calculations – they represent new ways to think about geometry and continuity, and so they promise to raise some old philosophical questions. . Week 10. Summary & Criticisms of analysis. History & Philosophy of Calculus. Week 10. The Story so Far. Classical inheritance of Calculus. Various methods for dealing with curves & conics. Conceptual Issues in the development of the Calculus. Piecemeal technical breakthroughs over the centuries. Especially algebra & its logical power. Shifted the focus to new techniques & what . Session 5. The Derivative. Integrals . Review. Plot a graph of the function f(x), where f represents how something is changing (e.g. it might be speed or acceleration). We write something like f(x) = x. Session 2. “Reformers”. Session 2 – “Reformers”. Gathering. 5 . Opening . Reading . & . Chalice Lighting. 5. Sharing. 10. Timeline – Reformers. 10. Opening . Discussion. 20. Break. 10. We’ve expanded. We can give ‘Merit and Potential’ offers. New for 2017-18: Greater freedom of module choice for students. Lots of joint-honours options. We are a gender balanced department. Diversity and Inclusion Group (DIG). of the Jazz Age Did the Beatles cause or only prefigure the political perturbations of the Sixties-or had politics simply become a form of art in that period at least the politics responsive to music HI2D5 week 3. 14 . October . 2019. Dr.. Michael Bycroft. Glass drops, as shown in Robert Hooke, . Micrographia. : or Some Physiological Descriptions of Minute Bodies Made by Magnifying Glasses . (London, 1665) .