非算术环境中的亚布罗悖论

IF 0.3 4区哲学 0 PHILOSOPHY Filozofia Nauki Pub Date : 2019-06-30 DOI:10.14394/FILNAU.2019.0008

A. Karimi

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引用次数: 0

摘要

从非常弱的假设中证明一个悖论有助于我们揭示悖论的来源。我们用谓词逻辑的语言引入了一个弱的非算术理论，并在这个弱系统中给出了Yablo悖论的各种版本的证明。我们在所提出的弱公理系统中证明了Yablo悖论的Always、Some、Almost、Always和Infinitely Frequency版本，该系统比算术设置弱得多。

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Yablo’s Paradoxes in Non-arithmetical Setting

Proving a paradox from very weak assumptions helps us to reveal what the source of the paradox is. We introduce a weak non-arithmetical theory in a language of predicate logic and give proofs for various versions of Yablo’s paradox in this weak system. We prove Always, Sometimes, Almost ,Always, and Infinitely Often versions of Yablo’s paradox in the presented weak axiom system, which is much weaker than the arithmetical setting.

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来源期刊

Filozofia Nauki PHILOSOPHY-

CiteScore

0.50

自引率

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.