科学哲学
Online ISSN : 1883-6461
Print ISSN : 0289-3428
ISSN-L : 0289-3428
石本賞
第3 回石本基金若手研究助成・成果報告書 数学における問題と解決との関係と証明概念
-『論理哲学論考』から『数学の基礎』に至るウィトゲンシュタインの数学の哲学の展開の意味-
入江 俊夫
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ジャーナル フリー

2012 年 45 巻 2 号 p. 115-129

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抄録
This paper concerns so called ‘concept formation thesis' that we can find in Wittgenstein's philosophy of mathematics. I will deal with this topic by focusing on his view of the relation between a problem and its solution in mathematics. In his ‘middle' period, he had the view that some problems (or conjectures) expressed by the sentences involving quantification over infinite domains are senseless. This is very important because it suggests that the problem-solution relation is such that the solution gives the grammar to the problem. In a special sort of language activity, ‘riddle', words in the question also receives some new meanings from the answer. I will compare mathematics with riddle, which enables us to see the change of perspective that determines similarity and dissimilarity.
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© 2012 日本科学哲学会
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