A logical framework for data-driven reasoning

Fuente: arXiv
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Hauptverfasser: Baldi, Paolo, Corsi, Esther Anna, Hosni, Hykel
Format: Preprint
Veröffentlicht: 2024
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author Baldi, Paolo
Corsi, Esther Anna
Hosni, Hykel
author_facet Baldi, Paolo
Corsi, Esther Anna
Hosni, Hykel
contents We introduce and investigate a family of consequence relations with the goal of capturing certain important patterns of data-driven inference. The inspiring idea for our framework is the fact that data may reject, possibly to some degree, and possibly by mistake, any given scientific hypothesis. There is no general agreement in science about how to do this, which motivates putting forward a logical formulation of the problem. We do so by investigating distinct definitions of "rejection degrees" each yielding a consequence relation. Our investigation leads to novel variations on the theme of rational consequence relations, prominent among non-monotonic logics.
format Preprint
id arxiv_https___arxiv_org_abs_2408_12346
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A logical framework for data-driven reasoning
Baldi, Paolo
Corsi, Esther Anna
Hosni, Hykel
Logic
Methodology
03A10, 62A01
F.4.1; F.4.3
We introduce and investigate a family of consequence relations with the goal of capturing certain important patterns of data-driven inference. The inspiring idea for our framework is the fact that data may reject, possibly to some degree, and possibly by mistake, any given scientific hypothesis. There is no general agreement in science about how to do this, which motivates putting forward a logical formulation of the problem. We do so by investigating distinct definitions of "rejection degrees" each yielding a consequence relation. Our investigation leads to novel variations on the theme of rational consequence relations, prominent among non-monotonic logics.
title A logical framework for data-driven reasoning
topic Logic
Methodology
03A10, 62A01
F.4.1; F.4.3
url https://arxiv.org/abs/2408.12346