Из-за периодической блокировки нашего сайта РКН сервисами, просим воспользоваться резервным адресом:
Загрузить через ClipSave.ruУ нас вы можете посмотреть бесплатно The Problem of Modelling the Mathematical Mind или скачать в максимальном доступном качестве, которое было загружено на ютуб. Для скачивания выберите вариант из формы ниже:
Если кнопки скачивания не
загрузились
НАЖМИТЕ ЗДЕСЬ или обновите страницу
Если возникают проблемы со скачиванием, пожалуйста напишите в поддержку по адресу внизу
страницы.
Спасибо за использование сервиса savevideohd.ru
VideoLectures.Net View the talk in context: http://videolectures.net/turing100_pe... View the complete Alan Turing Centenary Conference Manchester, 2012: http://videolectures.net/turing100_co... Speaker: Sir Roger Penrose, Mathematical Institute, University of Oxford License: Creative Commons CC BY-NC-ND 3.0 More information at http://videolectures.net/site/about/ More talks at http://videolectures.net/ Following Alan Turing's ground-breaking 1937 paper, which introduced his notion of the Universal Turing machine, he suggested, in 1939, generalizations based on ordinal logic and oracle machines, these being apparently motivated by attempts to model the mathematical mind in a way that could evade the apparent limitations presented by Gödel's incompleteness theorems. In this talk, I introduce the idea of a "cautious oracle" as a more human version of Turing's oracles. Nevertheless, I show that even this fails to capture the essence of the full capabilities of our understanding. I raise the issue of possible physical processes that would appear to be needed in order to circumvent these Gödel-type restrictions. At the end of the talk, I report on some startling new experiments, which appear to point to new insights into the possible physical processes underlying conscious brain activity, and I speculate on how this might relate to the power of human understanding.