A Mathematical Model of Deductive and Non-Deductive Inferences

• KIKUCHI Makoto

  Department of Computer Science and Systems Engineering Kobe University

抄録

Induction and abduction are well known non-deductive inferences. We shall propose a view that design is also another form of non-deductive inference, and give a mathematical model of deductive and non-deductive inferences based on Barwise and Seligman's mathematical theory of information flow. In our model, inferences are classified into three categories, and we can show that deduction and abduction are in the same category, although induction is different. Furthermore, we shall show also that non-deductive inferences are interpretable mutually, and investigate also mathematical properties of the model. In particular, we shall prove a generalized version of the Abstract Completeness Theorem by Barwise and Seligman.

収録刊行物

• Ａｎｎａｌｓ　ｏｆ　ｔｈｅ　Ｊａｐａｎ　Ａｓｓｏｃｉａｔｉｏｎ　ｆｏｒ　Ｐｈｉｌｏｓｏｐｈｙ　ｏｆ　Ｓｃｉｅｎｃｅ

  Ａｎｎａｌｓ　ｏｆ　ｔｈｅ　Ｊａｐａｎ　Ａｓｓｏｃｉａｔｉｏｎ　ｆｏｒ　Ｐｈｉｌｏｓｏｐｈｙ　ｏｆ　Ｓｃｉｅｎｃｅ 17 (0), 1-11, 2009

  科学基礎論学会

キーワード

• Deduction
• Induction
• Abduction
• Channel Theory

詳細情報

• CRID: 1390282680247644160
• NII論文ID: 110007387651
• NII書誌ID: AA00026247
• DOI: 10.4288/jafpos.17.0_1
• ISSN: 18841228
• ISSN: 04530691
• Web Site: https://www.jstage.jst.go.jp/article/jafpos/17/0/17_KJ00005757520/_pdf
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可