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Russell’s Paradox and the Theory of Propositional Functions in <i>The Principles of Mathematics</i>
Bibliographic Information
- Other Title
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- 『数学の原理』におけるラッセルのパラドクスと命題関数の理論
- 『 スウガク ノ ゲンリ 』 ニ オケル ラッセル ノ パラドクス ト メイダイ カンスウ ノ リロン
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Description
Bertrand Russell has found the paradox that bears his own name in the spring of 1901 and offered a version of the so-called “simple” theory of types as measures against it in an appendix to The Principles of Mathematics (1903). This theory was devised to deal with the class-version of that paradox. But he formulated it also in terms of “predicates” and the type theory has no effect to this formulation. In this paper, I shall show that Russell offered measures also against the “predicate”-version of that paradox in the Principles and it is very interesting in a sense that it enables to avoid the paradox without forbidding self-predications of predicates in general.
Journal
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- Kagaku tetsugaku
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Kagaku tetsugaku 46 (1), 17-33, 2012
The Philosophy of Science Society, Japan
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Details 詳細情報について
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- CRID
- 1390282680061271424
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- NII Article ID
- 130005119846
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- NII Book ID
- AN00037482
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- ISSN
- 18836461
- 02893428
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- NDL BIB ID
- 024915911
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL Search
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed