可能有读者会问 type theory 里这套 Programming 和 Mathematics 的对应和所谓的Curry-Howard Isomorphism有什么区别和联系, 实际上上述对应相当于把 Curry-Howard isomorphism 扩展到了 dependent type theory. 相当于 Curry–Howard isomorphism 加上了谓词逻辑的的强化版。 集合论的 extensionality 公理的推论之一是,对...
Mathematical intuitionism is still being intensively developed. The stress placed by intuitionism on the effectiveness of its results agrees well with the computational tendency in modern mathematics and has drawn a great number of creative mathematicians to the study of intuitionist logic. In the USS...
直觉主义分析:Bishop's constructive mathematics 编辑于 2021-03-20 03:32 数理逻辑(Mathematical Logic) 数学哲学 证明论 赞同295 条评论 分享喜欢收藏申请转载 写下你的评论... 5 条评论 默认 最新 知乎用户FEbhnA 期待继续 2020-10-16 回复喜欢 Cistus Albidus 点...
可能有读者会问 type theory 里这套 Programming 和 Mathematics 的对应和所谓的 Curry-Howard Isomorphism 有什么区别和联系, 实际上上述对应相当于把 Curry-Howard isomorphism 扩展到了 dependent type theory. 相当于 Curry–Howard isomorphism 加上了谓词逻辑的的强化版。 集合论的 extensionality ...
This chapter presents and illustrates fundamental principles of the intuitionistic mathematics devised by L.E.J. Brouwer and then describes in largely nontechnical terms metamathematical results that shed light on the logical character of that mathematics. The fundamental principles, such as Uniformity ...
Share on Facebook intuitionism (redirected fromIntuitionism (philosophy of mathematics)) Thesaurus Encyclopedia in·tu·i·tion·ism (ĭn′to͞o-ĭsh′ə-nĭz′əm, -tyo͞o-) n.Philosophy 1.The theory that certain truths or ethical principles are known by intuition rather than reaso...
As I will show in the coming section, this conclusion is consistent with a proposal that the best analogy between philosophy of language and philosophy of mathematics relates the foundations of linguistics not to Mathematical Platonism, as Katz defends, but rather to Mathematical Intuitionism. How ...
MathematicsKatz, K., Katz, M.: Meaning in classical mathematics: is it at odds with Intu- itionism?. Intellectica 56(2), 223-302. http://arxiv.org/abs/1110.5456Katz, K.; Katz, M.: Meaning in classical mathematics: is it at odds with Intuitionism? Intellectica, 56 (2011), no....
Logic, Mathematics.the doctrine, propounded by L. E. J. Brouwer, that a mathematical object is considered to exist only if a method for constructing it can be given. Discover More Other Words From in tu·i tion·istnoun adjective
直觉主义分析:Bishop's constructive mathematics 编辑于 2020-04-18 18:33 数理逻辑(Mathematical Logic) 数学哲学 证明论 赞同171 条评论 分享喜欢收藏申请转载 写下你的评论... 1 条评论 默认 最新 Alice 快写快写(Alice好期待～ 2020-04-18 回复2关于...