| 书目名称 | Epistemology versus Ontology |
| 副标题 | Essays on the Philos |
| 编辑 | P. Dybjer,Sten Lindström,G. Sundholm |
| 视频video | |
| 概述 | Comprehensive overview of the philosophical problems of the foundational framework in current mathematics.Demonstrates the impact of the work of the eminent academic: Per Martin-Löf.Contains contribut |
| 丛书名称 | Logic, Epistemology, and the Unity of Science |
| 图书封面 |  |
| 描述 | This book brings together philosophers, mathematicians and logicians to penetrate important problems in the philosophy and foundations of mathematics. In philosophy, one has been concerned with the opposition between constructivism and classical mathematics and the different ontological and epistemological views that are reflected in this opposition. The dominant foundational framework for current mathematics is classical logic and set theory with the axiom of choice (ZFC). This framework is, however, laden with philosophical difficulties. One important alternative foundational programme that is actively pursued today is predicativistic constructivism based on Martin-Löf type theory. Associated philosophical foundations are meaning theories in the tradition of Wittgenstein, Dummett, Prawitz and Martin-Löf. What is the relation between proof-theoretical semantics in the tradition of Gentzen, Prawitz, and Martin-Löf and Wittgensteinian or other accounts of meaning-as-use? What can proof-theoretical analyses tell us about the scope and limits of constructive and predicative mathematics? |
| 出版日期 | Book 2012 |
| 关键词 | Constructive Type Theory; Dummett; Gentzen; Intuitionism; Martin-Löf; Martin-Löf‘s type theory; Mathematic |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-94-007-4435-6 |
| isbn_softcover | 978-94-017-8238-8 |
| isbn_ebook | 978-94-007-4435-6Series ISSN 2214-9775 Series E-ISSN 2214-9783 |
| issn_series | 2214-9775 |
| copyright | Springer Science+Business Media Dordrecht. 2012 |
发表于 2025-3-21 18:07:15
