Paracomplete Probabilities
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909677100466176 |
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| author | Basu, Sankha S. Jain, Esha |
| author_facet | Basu, Sankha S. Jain, Esha |
| contents | This paper presents an advance in the direction of working with probabilities in a paracomplete setting using Logics of Formal Undeterminedness (LFUs). The undeterminedness is interpreted here as missing evidence. A theorem of total paracomplete probability and a paracomplete Bayes' rule have been proved using this setup. We end with a definition of a paracomplete probability space illustrating a way to define probabilities on sets in the presence of undeterminedness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_04312 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Paracomplete Probabilities Basu, Sankha S. Jain, Esha Logic 03B60, 60A99 This paper presents an advance in the direction of working with probabilities in a paracomplete setting using Logics of Formal Undeterminedness (LFUs). The undeterminedness is interpreted here as missing evidence. A theorem of total paracomplete probability and a paracomplete Bayes' rule have been proved using this setup. We end with a definition of a paracomplete probability space illustrating a way to define probabilities on sets in the presence of undeterminedness. |
| title | Paracomplete Probabilities |
| topic | Logic 03B60, 60A99 |
| url | https://arxiv.org/abs/2507.04312 |