Vicky Neale on 'Why Study Mathematics?' and the Twin Prime Conjecture | Philosophical Trials #11 скачать в хорошем качестве

Vicky Neale on 'Why Study Mathematics?' and the Twin Prime Conjecture | Philosophical Trials #11

Dr Vicky Neale is the Whitehead Lecturer at the Mathematical Institute and Balliol College at the University of Oxford. She is also a Supernumerary Fellow at Balliol and the author of two great books aimed at general audiences, namely ‘Closing the Gap’ and ‘Why Study Mathematics?’. Vicky Neale is a great communicator of Mathematics. She was given an MPLS Teaching Award in 2016 and she also won an award for being the Most Acclaimed Lecturer in MPLS in the student-led Oxford University Student Union Teaching Awards 2015. Follow her on Twitter: @VickyMaths1729 For some clear proofs of a selection of mathematical theorems, check out her YouTube channel:    / @hedgehogmaths8935   and her blog https://theoremoftheweek.wordpress.com/ Conversation Outline: 00:00 Guest Introduction 01:05 Vicky’s mathematical background 04:13 Motivations for writing a book on reasons to study mathematics 07:11 Are good reasons for studying Mathematics timeless? Would this book have more or less the same contents, had it been written many years ago? 10:10 Is the job of pure mathematicians safe from AI developments? 12:13 What are the benefits (for the non-mathematician) of knowing about mathematical notions such as integrals, derivatives, matrices and so on? 15:39 Are some people more mathematically talented than others? 18:45 Does the discussion of talent change when we are talking about research-level Mathematics? Douglas Hofstadter’s experience. 22:45 Aesthetics of Mathematics 25:00 Is Number Theory more beautiful than other mathematical subfields? 25:52 A mathematician’s view of the metaphysics of numbers 27:58 Fermat’s Last Theorem, Andrew Wiles and finding meaning in Mathematics 29:26 FLT and the Twin Prime Conjecture 32:27 Should graduate students tackle famous open problems? 33:41 Closing the Gap: significant progress towards solving the Twin Prime Conjecture 35:10 Polymath: an example of collaborative Mathematics 39:40 Do we have reasons to believe that the Twin Prime Conjecture is actually true? Enjoy! X (formerly Twitter): https://x.com/tedynenu Apple Podcasts: https://podcasts.apple.com/gb/podcast... Spotify: https://open.spotify.com/show/3Sz88le... Google Podcasts: https://podcasts.google.com/?q=philos...