Synergy as the failure of distributivity
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910570772430848 |
|---|---|
| author | Sevostianov, Ivan A. Feinerman, Ofer |
| author_facet | Sevostianov, Ivan A. Feinerman, Ofer |
| contents | The concept of emergence, or synergy in its simplest form, is widely used but lacks a rigorous definition. Our work connects information and set theory to uncover the mathematical nature of synergy as the failure of distributivity. It resolves the persistent self-contradiction of information decomposition theory and reinstates it as a primary route toward a rigorous definition of emergence. Our results suggest that non-distributive variants of set theory may be used to describe emergent physical systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_03455 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Synergy as the failure of distributivity Sevostianov, Ivan A. Feinerman, Ofer Information Theory Biological Physics Data Analysis, Statistics and Probability The concept of emergence, or synergy in its simplest form, is widely used but lacks a rigorous definition. Our work connects information and set theory to uncover the mathematical nature of synergy as the failure of distributivity. It resolves the persistent self-contradiction of information decomposition theory and reinstates it as a primary route toward a rigorous definition of emergence. Our results suggest that non-distributive variants of set theory may be used to describe emergent physical systems. |
| title | Synergy as the failure of distributivity |
| topic | Information Theory Biological Physics Data Analysis, Statistics and Probability |
| url | https://arxiv.org/abs/2404.03455 |