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arXiv · 2606.25290

A note on $\text{ded }\kappa$ and the part-whole principle

Yuanshan Li
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Abstract

We establish a connection between the part-whole principle and the quantity $\text{ded }\kappa$ -- a generalized cardinal characteristic related to the number of Dedekind cuts of a linear order. As consequences, we improve a result of Mancosu and Massas on generalized probability functions and propose some questions.

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Yuanshan Li. 2026-06-24. A note on $\text{ded }\kappa$ and the part-whole principle. https://arxiv.org/abs/2606.25290

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