作为任意对象的布尔值集

IF 1.8 1区哲学 0 PHILOSOPHY

MIND Pub Date : 2023-09-17 DOI:10.1093/mind/fzad035

Leon Horsten

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引用次数: 0

摘要

本文探讨了集合论的布尔值类模型与基特·芬(Kit Fine)意义上的任意对象理论之间的联系。特别是，它探讨了一个假设，即集合论的宇宙作为一个整体可以被视为一个任意的实体。根据这种观点，集合论的宇宙可以有许多不同的状态。这些状态在结构上类似于布尔值模型，它们包含被视为变量或任意对象的集合。

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Boolean-Valued Sets as Arbitrary Objects

Abstract This article explores the connection between Boolean-valued class models of set theory and the theory of arbitrary objects in roughly Kit Fine’s sense of the word. In particular, it explores the hypothesis that the set-theoretic universe as a whole can be seen as an arbitrary entity. According to this view, the set-theoretic universe can be in many different states. These states are structurally like Boolean-valued models, and they contain sets conceived of as variable or arbitrary objects.

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来源期刊

MIND PHILOSOPHY-

CiteScore

3.10

自引率

5.60%

发文量

期刊介绍： Mind has long been a leading journal in philosophy. For well over 100 years it has presented the best of cutting edge thought from epistemology, metaphysics, philosophy of language, philosophy of logic, and philosophy of mind. Mind continues its tradition of excellence today. Mind has always enjoyed a strong reputation for the high standards established by its editors and receives around 350 submissions each year. The editor seeks advice from a large number of expert referees, including members of the network of Associate Editors and his international advisers. Mind is published quarterly.