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arXiv · 2605.14182

The modal theory of linear orders

Wojciech Aleksander Wołoszyn
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Abstract

I study the modal theory of linear orders under embeddings, monotone maps, condensations, and end-extensions. I prove modality elimination for embeddings and monotone maps, show that condensations make scatteredness modally definable, and compute exact propositional modal validities in the main cases.

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Wojciech Aleksander Wołoszyn. 2026-05-13. The modal theory of linear orders. https://arxiv.org/abs/2605.14182

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