On the Axiom of Canonicity

IF 0.6 Q2 LOGIC Logic and Logical Philosophy Pub Date : 2022-07-07 DOI:10.12775/llp.2022.022
J. Pogonowski
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引用次数: 0

Abstract

The axiom of canonicity was introduced by the famous Polish logician Roman Suszko in 1951 as an explication of Skolem's Paradox (without reference to the L\"{o}wenheim-Skolem theorem) and a precise representation of the axiom of restriction in set theory proposed much earlier by Abraham Fraenkel. We discuss the main features of Suszko's contribution and hint at its possible further applications.
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论规范性的公理
正统性公理是由著名的波兰逻辑学家Roman Suszko在1951年引入的,作为对Skolem悖论的解释(没有参考L\ \ {o}wenheim-Skolem定理)和更早由Abraham Fraenkel提出的集合论中限制公理的精确表示。我们讨论Suszko贡献的主要特征,并暗示其可能的进一步应用。
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来源期刊
CiteScore
1.00
自引率
40.00%
发文量
29
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