Ordinalism and Cardinalism Re-Examined

Diego Lanzi

Rivista Internazionale di Scienze Sociali, 2022, vol. 130, issue 3, 293-310

Abstract: 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 (search for similar items in EconPapers)
JEL-codes: B21 D01 (search for similar items in EconPapers)
Date: 2022
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