Abstract
The heap paradox is an enduring problem in complex systems, and it has many variations. One variation of the heap paradox considers how many parts of a whole are required to generate group behaviour. The initial heap paradox indicates that the recursive adding grain process finally makes a heap at a certain point. In this study, we point out the hidden assumption of this paradox, which a recursive operation involves ontological commitment (i.e. anticipation for the forthcoming heap from non-heap in every procedure). The aim of this study is to show the existence of the ontological commitment in a real fish school via IIT 3.0. We analysed the behaviour of Plecoglossus altivelis with group sizes ranging from 2 to 5 fish. Consequently, the subschool embedded in the whole group has a qualitatively different causal structure compared with a whole group of the same size. That is, 2-fish subschools lose the chasing property, but gain the leadership property, which has never been observed in a 2-fish whole school. Accordingly, 3- and 4-fish subschools also show a completely different property from the same sized whole school. Our results suggest that a real fish school contains the ontological commitment to maintain their group behaviour.
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Niizato, T., Sakamoto, K., Mototake, Yi. et al. Revealing the existence of the ontological commitment in fish schools. Artif Life Robotics 25, 633–642 (2020). https://doi.org/10.1007/s10015-020-00658-8
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Keywords
- The paradox of the heap
- Collective behaviour
- Integrated information theory 3.0