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Related Experiment Video

Updated: Aug 11, 2025

Creating Objects and Object Categories for Studying Perception and Perceptual Learning

Creating Objects and Object Categories for Studying Perception and Perceptual Learning

Published on: November 2, 2012

Categorial modal realism.

Tyler D P Brunet^1,2

¹Egenis, The Center for the Study of the Life Sciences, University of Exeter, Byrne House, St German's Road, Exeter, Devon EX4 4PJ UK.

|February 3, 2023

Summary

This summary is machine-generated.

This study introduces a category theory approach to understanding the plurality of worlds, offering an alternative to the traditional set theory model. This new framework incorporates possible changes and transformations, enhancing our grasp of modal realism.

Keywords:

Category theory Humility Modal logic Modality Possible worlds

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Area of Science:

Philosophy of Mathematics
Metaphysics
Modal Logic

Background:

Current understanding of the plurality of worlds relies on set theory and the concept of possibilia.
Set theoretic modal realism views possibilia as possible objects or individuals.

Purpose of the Study:

To propose and validate an alternative category theoretic conception of the plurality of worlds.
To demonstrate the serviceability of category theory in understanding possibilia and modal realism.
To offer a new perspective beyond traditional set-theoretic approaches.

Main Methods:

Developing a category theoretic framework for possibilia.
Introducing the concept of possible morphisms (changes, processes, transformations).
Applying the category theoretic account to modal logic and paradoxes of size.

Main Results:

The category theoretic account is shown to be as serviceable as the set theoretic account for understanding possibilia.
The new framework provides novel insights into modal logic and paradoxes of size.
Specific avenues of inquiry, previously obscured by set theory, become apparent.

Conclusions:

A category theoretic approach offers a viable and potentially advantageous alternative to set theoretic modal realism.
The framework highlights the importance of possible changes and transformations in understanding modality.
Advocates for epistemological humility regarding realist ontologies of modality.