# Homogenousness and Specificity

## TL;DR

This paper explores the concept of homogenousness as a second order property, applying principles from nonmonotonic logic to analyze defeasible inheritance systems and discussing the core of model sets.

## Contribution

It introduces a novel interpretation of homogenousness based on nonmonotonic logic principles and applies it to fundamental questions in defeasible inheritance systems.

## Key findings

- Homogenousness is modeled as a second order property with exceptions.
- Analysis of defeasible inheritance systems using this framework.
- Discussion on the concept of the core of a model set.

## Abstract

We interpret homogenousness as a second order property and base it on the same principle as nonmonotonic logic: there might be a small set of exceptions. We use this idea to analyse fundamental questions about defeasible inheritance systems. In an appendix, we discuss the concept of the core of a (model) set.