### Abstract

Asynchronous tuning is the interface between state at a moment and process in duration, and this interface cannot be prepared in advance. That is why asynchronous tuning involves decision making, or a choice from the outside of the domain of choice. Because it allows a choice from the outside, boundary of the domain of choice is changed after a choice. Our model of a process of dynamic indefinite boundary is expressed as iterated alternations of a particular operation (crossing the boundary toward outside) and invalidation of this operation, in using a category theory, while invalidation is outside a category theory. The notion of emergent property can be grasped in science by this key idea.

Original language | English |
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Pages (from-to) | 71-80 |

Number of pages | 10 |

Journal | Acta Polytechnica Scandinavica Mathematics and Computing Series |

Volume | 91 |

Publication status | Published - 1998 Dec 1 |

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### Keywords

- Category theory
- Emergent property
- Inside vs. Outside
- Invalidation of distinction
- Zeno's paradox

### ASJC Scopus subject areas

- Hardware and Architecture
- Industrial and Manufacturing Engineering
- Applied Mathematics