Measuring Causal Invariance Formally

Invariance is one of several dimensions of causal relationships within the interventionist account. The more invariant a relationship between two variables, the more the relationship should be considered paradigmatically causal. In this paper, I propose two formal measures to estimate invariance, il...

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Main Author: Pierrick Bourrat
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/23/6/690
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author Pierrick Bourrat
author_facet Pierrick Bourrat
author_sort Pierrick Bourrat
collection DOAJ
description Invariance is one of several dimensions of causal relationships within the interventionist account. The more invariant a relationship between two variables, the more the relationship should be considered paradigmatically causal. In this paper, I propose two formal measures to estimate invariance, illustrated by a simple example. I then discuss the notion of invariance for causal relationships between non-nominal (i.e., ordinal and quantitative) variables, for which Information theory, and hence the formalism proposed here, is not well suited. Finally, I propose how invariance could be qualified for such variables.
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spelling doaj.art-c293cc1c27bc42da8c46087b474799fb2023-11-21T22:03:54ZengMDPI AGEntropy1099-43002021-05-0123669010.3390/e23060690Measuring Causal Invariance FormallyPierrick Bourrat0Department of Philosophy, Macquarie University, Balaclava Road, North Ryde, NSW 2109, AustraliaInvariance is one of several dimensions of causal relationships within the interventionist account. The more invariant a relationship between two variables, the more the relationship should be considered paradigmatically causal. In this paper, I propose two formal measures to estimate invariance, illustrated by a simple example. I then discuss the notion of invariance for causal relationships between non-nominal (i.e., ordinal and quantitative) variables, for which Information theory, and hence the formalism proposed here, is not well suited. Finally, I propose how invariance could be qualified for such variables.https://www.mdpi.com/1099-4300/23/6/690causationinvariancecausal specificityinformation theory
spellingShingle Pierrick Bourrat
Measuring Causal Invariance Formally
Entropy
causation
invariance
causal specificity
information theory
title Measuring Causal Invariance Formally
title_full Measuring Causal Invariance Formally
title_fullStr Measuring Causal Invariance Formally
title_full_unstemmed Measuring Causal Invariance Formally
title_short Measuring Causal Invariance Formally
title_sort measuring causal invariance formally
topic causation
invariance
causal specificity
information theory
url https://www.mdpi.com/1099-4300/23/6/690
work_keys_str_mv AT pierrickbourrat measuringcausalinvarianceformally