## 抄録

Marx's argument on 'the form of value' is based on state-oriented physics (SOP) and has 'the problem of transitivity.' This problem is inevitably led by an assumption of SOP that observer is able to identify a rule of exchange, so we cannot solve this problem directly. If we hold a standpoint of measurement-oriented physics (MOP), this problem is not a pardox but can be treated as the possibility to get a new outlook for understanding an aspect of exchange as a movement. The problem of transitivity arises because an observer who can describe individual exchanges only as specific parts of the whole exchange tries to describe a general rule. If we take it as a measurement problem, we can positively use the problem of transitivity and construct an internal measurement model in which exchange has the duality, operator and operand. We construct an internal measurement model of exchange as an interaction between cone-relation and equivalent-relation. Then we get patterns named 'particle' that can be interpreted as a rule that can be regarded adaptable for the whole process of exchange, and the particle also has the duality of stability and instability.

本文言語 | English |
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ページ（範囲） | 299-318 |

ページ数 | 20 |

ジャーナル | Applied Mathematics and Computation |

巻 | 126 |

号 | 2-3 |

DOI | |

出版ステータス | Published - 2002 3 10 |

外部発表 | はい |

## ASJC Scopus subject areas

- Computational Mathematics
- Applied Mathematics