Where do Mathematical Symbols Come From? - Sarah Hart

00:00 // Introduction: The Language of Mathematics 01:26 // Mathematics as a Written Language 03:39 // Historical Notation and Interpretive Challenges 07:16 // Greek and Babylonian Mathematical Traditions 10:53 // Algebra and Its Linguistic Roots 15:34 // The Islamic Golden Age and Mathematical Innovation 18:37 // The Introduction of Algebra to Europe 22:52 // The Emergence of Symbolic Algebra 27:11 // The Invention of the Equal Sign 30:13 // Symbolic Shorthand and Mathematical Efficiency 34:47 // The Rise of Notation in Calculus 39:06 // Leibniz vs. Newton: Competing Notational Systems 42:30 // Why Notation Matters in Mathematics 47:01 // Symbols and Mathematical Abstraction 50:45 // Modern Notation and Its Influence 54:23 // Cultural Differences in Mathematical Symbols 58:17 // How Notation Shapes Thought 01:02:11 // The Future of Mathematical Symbols 01:05:39 // Final Reflections and Conclusions Where do we get our mathematical symbols from? Why is the set of integers called ℤ ? When was the equals sign first used? How about zero? Good notation tends to catch on quickly, whereas bad notation can obscure beautiful theory. The lecture explores how the introduction of new notation has paved the way for new leaps in understanding, and considers some mathematical quirks of language, such as what the number 4 in English has in common with the number 11 in Russian. A lecture by Sarah Hart The transcript and downloadable versions of the lecture are available from the Gresham College website: http://www.gresham.ac.uk/lectures-and... Gresham College has offered free public lectures for over 400 years, thanks to the generosity of our supporters. There are currently over 2,500 lectures free to access. We believe that everyone should have the opportunity to learn from some of the greatest minds. To support Gresham's mission, please consider making a donation: https://gresham.ac.uk/support/ Website: https://gresham.ac.uk Twitter:   / greshamcollege   Facebook:   / greshamcollege   Instagram:   / greshamcollege