On classical set-compatibility

El Jardín de Senderos Que Se Bifurcan y Confluyen: Filosofía, Lógica y Matemáticas (2020)
  Copy   BIBTEX

Abstract

In this paper, I generalise the logical concept of compatibility into a broader set-theoretical one. The basic idea is that two sets are incompatible if they produce at least one pair of opposite objects under some operation. I formalise opposition as an operation ′ ∶ E → E, where E is the set of opposable elements of our universe U, and I propose some models. From this, I define a relation ℘U × ℘U × ℘U^℘U, which has (mutual) logical compatibility as its more natural interpretation.

Author's Profile

Luis F. Bartolo Alegre
Ludwig Maximilians Universität, München

Analytics

Added to PP
2020-01-25

Downloads
156 (#73,276)

6 months
36 (#84,740)

Historical graph of downloads since first upload
This graph includes both downloads from PhilArchive and clicks on external links on PhilPapers.
How can I increase my downloads?