Ordinalism and Cardinalism Re-Examined - Diego Lanzi - Vita e Pensiero - Articolo Rivista internazionale di Scienze Sociali

Ordinalism and Cardinalism Re-Examined

newdigital Ordinalism and Cardinalism Re-Examined
Article
Journal RIVISTA INTERNAZIONALE DI SCIENZE SOCIALI
Issue RIVISTA INTERNAZIONALE DI SCIENZE SOCIALI - 2022 - 3
Title Ordinalism and Cardinalism Re-Examined
Author
Publisher Vita e Pensiero
Format Article | Pdf
Online da 11-2022
Doi 10.26350/000518_000101
Issn 0035-676X (print) | 1827-7918 (digital)
€ 6.00

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Using the concepts of category theory, we re-examine ordinalism and cardinalism. We illustrate why cardinal and ordinal assumptions constitute two levels of measurability, but other cases may exist. Finally, we suggest the notion of relative ordinalism, i.e., a weaker (less demanding) form of ordinalism in which preference orderings are not isomorphic and not description-invariant.

keywords

Preferences, Morphisms, Ordinalism, Cardinalism.

Author biography

Diego Lanzi, Department of Management and Department of Statistical Sciences, Universityof Bologna. Email: diego.lanzi@unibo.it.

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