Behavioral Mereology: A Modal Logic for Passing Constraints
Abstract
Mereology is the study of parts and the relationships that hold between them. We introduce a behavioral approach to mereology, in which systems and their parts are known only by the types of behavior they can exhibit. Our discussion is formally topos-theoretic, and agnostic to the topos, providing maximal generality; however, by using only its internal logic we can hide the details and readers may assume a completely elementary set-theoretic discussion. We consider the relationship between various parts of a whole in terms of how behavioral constraints are passed between them, and give an inter-modal logic that generalizes the usual alethic modalities in the setting of symmetric accessibility.
Cite
@article{arxiv.2101.10490,
title = {Behavioral Mereology: A Modal Logic for Passing Constraints},
author = {Brendan Fong and David Jaz Myers and David I. Spivak},
journal= {arXiv preprint arXiv:2101.10490},
year = {2021}
}
Comments
In Proceedings ACT 2020, arXiv:2101.07888. arXiv admin note: substantial text overlap with arXiv:1811.00420