早期希尔伯特数学本体论

IF 0.3 4区哲学 0 PHILOSOPHY Filozofia Nauki Pub Date : 2018-12-31 DOI:10.14394/FILNAU.2018.0025

J. Dadaczyński

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引用次数: 0

摘要

希尔伯特对数学本体论的看法在1891年至1904年间发生了重大变化。尽管他在1899-1904年间对数学基础的贡献为他后来的形式主义计划铺平了道路，但在数学本体论方面，他离与他成熟的形式主义相联系的方法论唯名论还很远。矛盾的是，希尔伯特在数学本体论中的最初立场(从1891年开始)是概念主义与建构主义相结合的立场。这两种观点是布劳威尔在20世纪20年代对希尔伯特关于数学基础的描述进行直觉主义攻击的哲学基础。

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Ontologia matematyki wczesnego Hilberta

Hilbert’s views on the ontology of mathematics changed significantly between 1891 and 1904. Although his contributions to the foundations of mathematics in the years 1899-1904 paved the way for his later program of formalism, in the ontology of mathematics he was then still far from methodological nominalism associated with his mature formalism. Paradoxically, Hilbert’s original position in the ontology of mathematics (from 1891) was that of conceptualism combinedwith constructivism. These two views were the philosophical basis for Brouwer’s intuitionist attacks on Hilbert’s account of the foundations of mathematics in the 1920s.

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Filozofia Nauki PHILOSOPHY-

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0.50

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0.00%

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期刊介绍： Filozofia Nauki (The Philosophy of Science) is a double-blind peer-reviewed academic quarterly published by the Institute of Philosophy, University of Warsaw. It publishes articles, notes, and reviews covering the whole range of analytic philosophy, including among others: epistemology, ontology, general philosophy of science, philosophy of physics, philosophy of biology, philosophy of mathematics, philosophical logic, philosophy of language, philosophy of action, philosophy of mind, cognitive sciences, experimental philosophy. We invite papers not only from professional philosophers but also from specialists in different areas, interested in generalizing their scientific experiences towards more foundational issues.