### Abstract

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.

Original language | English |
---|---|

Pages (from-to) | 299-318 |

Number of pages | 20 |

Journal | Applied Mathematics and Computation |

Volume | 126 |

Issue number | 2-3 |

DOIs | |

Publication status | Published - 2002 Mar 10 |

Externally published | Yes |

### Fingerprint

### Keywords

- Barter exchange
- Corn-relation
- Dynamically changing structure
- Equivalent-relation
- Measurement-oriented physics
- Monetary exchange
- The form of value

### ASJC Scopus subject areas

- Applied Mathematics
- Computational Mathematics
- Numerical Analysis

### Cite this

**The dynamically changing model of exchange as interaction between cone-relation and equivalent-relation.** / Nakajima, Y.; Gunji, Yukio.

Research output: Contribution to journal › Article

*Applied Mathematics and Computation*, vol. 126, no. 2-3, pp. 299-318. https://doi.org/10.1016/S0096-3003(00)00159-4

}

TY - JOUR

T1 - The dynamically changing model of exchange as interaction between cone-relation and equivalent-relation

AU - Nakajima, Y.

AU - Gunji, Yukio

PY - 2002/3/10

Y1 - 2002/3/10

N2 - 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.

AB - 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.

KW - Barter exchange

KW - Corn-relation

KW - Dynamically changing structure

KW - Equivalent-relation

KW - Measurement-oriented physics

KW - Monetary exchange

KW - The form of value

UR - http://www.scopus.com/inward/record.url?scp=0037051049&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037051049&partnerID=8YFLogxK

U2 - 10.1016/S0096-3003(00)00159-4

DO - 10.1016/S0096-3003(00)00159-4

M3 - Article

AN - SCOPUS:0037051049

VL - 126

SP - 299

EP - 318

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

IS - 2-3

ER -