科学哲学
Online ISSN : 1883-6461
Print ISSN : 0289-3428
ISSN-L : 0289-3428
置き換え理論,そしてラッセルの数学の哲学についてまだわかっていないこと
戸田山 和久
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ジャーナル フリー

2003 年 36 巻 2 号 p. 1-19

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There seems to be a consensus among philosophers who are interested in Russell's early philosophy of mathematics. They hold that we can best understand the process of its development on the assumption that Russell kept trying to reconcile a type-theoretical solution to the paradoxes with the doctrine of univocality of being. This assumption have worked well in so far as to reconstruct the history of Russell's endearvor from Principles of Mathematics (1903) through the invention of substitutional theory (1905-7). Taking Principia Mathematica (1910) into consideration, however, this assumption seems to fail. There are many questions left unanswerable concerning the relation between PM and his former position. In this paper, I will survey some of the recent findings in the Russell Archives and Gregory Landini's works based on these findings, and clarify the relevance they could have to the "unanswered questions" mentioned above.
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