Великая математическая война. Как три блестящих ума сражались за основания математики - Джейсон Сократ Барди Страница 106
- Категория: Документальные книги / Биографии и Мемуары
- Автор: Джейсон Сократ Барди
- Страниц: 110
- Добавлено: 2026-07-03 00:57:01
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Великая математическая война. Как три блестящих ума сражались за основания математики - Джейсон Сократ Барди краткое содержание
Прочтите описание перед тем, как прочитать онлайн книгу «Великая математическая война. Как три блестящих ума сражались за основания математики - Джейсон Сократ Барди» бесплатно полную версию:К концу XIX века математики праздновали столетие триумфов, которые, как ни странно, ясно показали, как мало они знают на самом деле. Какова природа бесконечности? Свободна ли математика от внутренних противоречий? И какое отношение она имеет к реальности? Так начался Кризис оснований математики.
В книге «Великая математическая война» Джейсон Сократ Барди рассказывает историю трех соперничающих попыток разрешить этот кризис – и о разгоревшейся в результате битве. Бертран Рассел полагал, что мы достигнем определенности, если будем рассматривать математику как продолжение логики. Давид Гильберт верил, что спасение кроется в принятии математики как формальной игры по произвольным правилам, ничем не отличающейся от перестановки шахматных фигур. А Л. Э. Я. Брауэр утверждал, что математика всецело коренится в человеческой интуиции – и что не математика основана на логике, а, наоборот, логика основана на математике.
Это была ожесточенная борьба – и интеллектуальная, и личная, – в которой три гения состязались за право определить курс развития науки в XX веке. Разворачивающаяся на фоне Первой мировой войны, «Великая математическая война» ярко живописует «кризис оснований» и показывает, как он наложил неизгладимый отпечаток на интеллектуальную жизнь всего XX столетия.
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