图书标签: 哲学 集合论 超限数学 维特根斯坦 洛文海姆斯寇伦定理 时空论 康托 康德
发表于2024-11-08
The Infinite pdf epub mobi txt 电子书 下载 2024
This historical study of the infinite covers all its aspects from the mathematical to the mystical. Anyone who has ever pondered the limitlessness of space and time, or the endlessness of numbers, or the perfection of God will recognise the special fascination of the subject. Beginning with an entertaining account of the main paradoxes of the infinite, including those of Zeno, A.W. Moore traces the history of the topic from Aristotle to Kant, Hegel, Cantor, and Wittgenstein. Recent technical work is examined in the light of Cantor's remarkable discovery that infinity comes in degrees: some infinite sets are much bigger than others. Moore also gives a crisp sketch of Godel's celebrated proof, his clear presentation enabling the non-mathematical reader to grasp deep mathematical issues. Drawing on these technical results and on the early work of Wittgenstein, Moore outlines his own original account of the infinite. He argues that there are fundamental links between the infinite and the ineffable. In a final chapter on human finitude, these and other links are traced out, and the book concludes with a moving discussion of death and the poignancy of human finitude.
新年第一本,M佬介绍的书的确有趣。最后私货部分用集合论学到的inspiration来讲康德、维特根斯坦还有死亡哲学,居然一点不像在扯…
评分新年第一本,M佬介绍的书的确有趣。最后私货部分用集合论学到的inspiration来讲康德、维特根斯坦还有死亡哲学,居然一点不像在扯…
评分新年第一本,M佬介绍的书的确有趣。最后私货部分用集合论学到的inspiration来讲康德、维特根斯坦还有死亡哲学,居然一点不像在扯…
评分ISBN 0203724127(Adobe e Reader Format) p114中,“Frege (1848-4925)”,或应改为“1925”
评分ISBN 0203724127(Adobe e Reader Format) p114中,“Frege (1848-4925)”,或应改为“1925”
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The Infinite pdf epub mobi txt 电子书 下载 2024