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Gottfried Wilhelm von Leibniz
Transcript of Gottfried Wilhelm von Leibniz
mathematics, physics, geology, jurisprudence, and history Had the 2nd highest IQ in history Unlike most philosophers, he never wrote a magnum opus one single work containing the core of his philosopy Principle of Contradiction Principle of Sufficient Reason The Principle of The Best Predicate-In-Notion Principle Principle of the Identity of Indiscernibles Principle of Continuity Aristotle and Plato influenced his beliefs and thinking greatly His principles: He contributed greatly in Metaphysics with his belief of "substance" (monads) and in calculus with his invention of symbols Contributions to Math 1st to denote "function" as something derived from a curve Firsts 1st to see that the coefficients of a system of linear equations could be put in a matrix to find solutions 1st to use integral calculus to find the area under a curve Introduced several symbols including the integral sign and the d used for differentials Leibniz's Law-The Product Rule Leibniz integral rule-theorem that tells how and when to differentiate under the integral sign Infinitesimal-word used for things too small to be measured or seen The controversy of who really discovered infinitesimal calculus: Some say Newton was first, some say Leibniz was first. The only real evidence is that Leibniz was first to publish his methods In their days, this controversy was only soothed by Leibniz's death Today they are both credited with the invention. He became one of the most prolific inventors of mechanical calculators He used dx and dy to represent "infinitely small" He refined the binary number system (the fondation of all digital computers) To Liebniz this meant this Leibniz Notation Who's first? Leibniz was involved in many ideas and discoveries that are still around and used today. http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Leibniz.html Sources http://plato.stanford.edu/entries/leibniz/ http://www.nndb.com/people/666/000087405/ http://www.kerryr.net/pioneers/leibniz.htm