| 书目名称 | Hilbert’s Program | | 副标题 | An Essay on Mathemat | | 编辑 | Michael Detlefsen | | 视频video | | | 丛书名称 | Synthese Library | | 图书封面 |  | | 描述 | Hilbert‘s Program was founded on a concern for the phenomenon of paradox in mathematics. To Hilbert, the paradoxes, which are at once both absurd and irresistible, revealed a deep philosophical truth: namely, that there is a discrepancy between the laws accord ing to which the mind of homo mathematicus works, and the laws governing objective mathematical fact. Mathematical epistemology is, therefore, to be seen as a struggle between a mind that naturally works in one way and a reality that works in another. Knowledge occurs when the two cooperate. Conceived in this way, there are two basic alternatives for mathematical epistemology: a skeptical position which maintains either that mind and reality seldom or never come to agreement, or that we have no very reliable way of telling when they do; and a non-skeptical position which holds that there is significant agree ment between mind and reality, and that their potential discrepan cies can be detected, avoided, and thus kept in check. Of these two, Hilbert clearly embraced the latter, and proposed a program designed to vindicate the epistemological riches represented by our natural, if non-literal, ways of thinking. Brouwer, on th | | 出版日期 | Book 1986 | | 关键词 | design; epistemology; knowledge; mathematics; mind; opera; truth | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-015-7731-1 | | isbn_softcover | 978-90-481-8420-0 | | isbn_ebook | 978-94-015-7731-1Series ISSN 0166-6991 Series E-ISSN 2542-8292 | | issn_series | 0166-6991 | | copyright | Springer Science+Business Media Dordrecht 1986 |
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发表于 2025-3-21 17:14:05
