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AN00150430-00000083-0001  
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Title
Title パラドックスから真理の理論へ  
Kana パラドックス カラ シンリ ノ リロン エ  
Romanization Paradokkusu kara shinri no riron e  
Other Title
Title From paradoxes to a theory of truth  
Kana  
Romanization  
Creator
Name 西脇, 与作  
Kana ニシワキ, ヨサク  
Romanization Nishiwaki, Yosaku  
Affiliation 慶應義塾大学文学部  
Affiliation (Translated)  
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Place
東京  
Publisher
Name 三田哲學會  
Kana ミタ テツガクカイ  
Romanization Mita tetsugakukai  
Date
Issued (from:yyyy) 1986  
Issued (to:yyyy)  
Created (yyyy-mm-dd)  
Updated (yyyy-mm-dd)  
Captured (yyyy-mm-dd)  
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Source Title
Name 哲學  
Name (Translated)  
Volume  
Issue 83  
Year 1986  
Month 11  
Start page 1  
End page 31  
ISSN
05632099  
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Abstract
In the fourth century BC our ancestors found the so called reflexive paradoxes. And all through the time these paradoxes have embarrassed our rational thinking persistently. The Liar paradox, among them, and Russell's paradox, a late comer, have had the crucial role when we think over the concept of truth and the foundation of modern mathematics. As a matter of fact, Russell's paradox was the first step to modify set theory and to construct several axiomatic set theories, despite his type theory could not get a honor of the theory of foundation. As to the Liar paradox, Tarski taught us convincingly that we were not able to represent 'true in a language L' in L. Here we will pay attention on these two papadoxes and find their common logical structures. And then by using them, we will try to construct a theory of truth, by which we mean a way of defining the predicate 'true (false)'. Our main interest is how to define 'true in a language L' in L. However, what we will find is that we have to restrict Convention (T) to avoid the inconsistency of our system like the limitation of the abstraction principle in the case of Russell's paradox. Moreover, the restricted Convention (T) forces us to use 'true' and 'false' strangely. This means that we are still very far from possessing the true theory of truth. However, we suppose our step here in this paper is certainly one step toward the theory.
 
Table of contents
1. はじめに
2. 問題
 2.1. Russellのパラドックス
 2.2. Grellingのパラドックス
 2.3. Liar(嘘つき)
3. LiarとRussellのパラドックスの共通性
 3.1. Liar
 3.2. Russellのパラドックス
4. パラドックスの解決法とその影響
5. いくつかの原理
 5.1. Feferman
 5.2. van Fraassen
 5.3. Herzberger
6. モデル論的構成から論理システムへ
 6.1. モデルの構成
 6.2. 論理システムの構成
7. 再度二つのパラドックスの共通性について
 
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日本語  
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Last modified date
Sep 30, 2010 09:00:00  
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Sep 30, 2010 09:00:00  
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Index
/ Public / Faculty of Letters / Philosophy / 83 (198611)
 
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