| 書目名稱 | Constructivity and Computability in Historical and Philosophical Perspective |
| 編輯 | Jacques Dubucs,Michel Bourdeau |
| 視頻video | http://file.papertrans.cn/237/236142/236142.mp4 |
| 概述 | Offers an in depth look at the relationship between computability and constructivity.Follows the developments from Turing‘s ground-breaking linkage between computation and the machine and the final re |
| 叢書名稱 | Logic, Epistemology, and the Unity of Science |
| 圖書封面 |  |
| 描述 | .Ranging from Alan Turing’s seminal 1936 paper to the latest work on Kolmogorov complexity and linear logic, this comprehensive new work clarifies the relationship between computability on the one hand and constructivity on the other. The authors argue that even though constructivists have largely shed Brouwer’s solipsistic attitude to logic, there remain points of disagreement to this day..Focusing on the growing pains computability experienced as it was forced to address the demands of rapidly expanding applications, the content maps the developments following Turing’s ground-breaking linkage of computation and the machine, the resulting birth of complexity theory, the innovations of Kolmogorov complexity and resolving the dissonances between proof theoretical semantics and canonical proof feasibility. Finally, it explores one of the most fundamental questions concerning the interface between constructivity and computability: whether the theory of recursive functions is needed for a rigorous development of constructive mathematics..This volume contributes to the unity of science by overcoming disunities rather than offering an overarching framework. It posits that computability’s |
| 出版日期 | Book 2014 |
| 關(guān)鍵詞 | BHK interpretation; Canonical Proof; Classification theory; Computing machines; Contructive mathematics; |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-94-017-9217-2 |
| isbn_softcover | 978-94-024-0707-5 |
| isbn_ebook | 978-94-017-9217-2Series ISSN 2214-9775 Series E-ISSN 2214-9783 |
| issn_series | 2214-9775 |
| copyright | Springer Science+Business Media Dordrecht 2014 |
|Archiver|手機版|小黑屋|
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