| 書目名稱 | Hilbert’s Program | | 副標(biāo)題 | An Essay on Mathemat | | 編輯 | Michael Detlefsen | | 視頻video | http://file.papertrans.cn/428/427082/427082.mp4 | | 叢書名稱 | Synthese Library | | 圖書封面 |  | | 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 | | 關(guān)鍵詞 | 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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