Behavioral Mereology (Proofs and Properties)

Brendan Fong; David Jaz Myers; David I. Spivak

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arXiv · 1811.00420

Behavioral Mereology (Proofs and Properties)

Brendan Fong·David Jaz Myers·David I. Spivak

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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.

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BibTeX RIS

Brendan Fong, David Jaz Myers, David I. Spivak. 2018-11-01. Behavioral Mereology (Proofs and Properties). https://arxiv.org/abs/1811.00420

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