Notre Dame Journal of Formal Logic

Some Criteria for Acceptable Abstraction

Øystein Linnebo


Which abstraction principles are acceptable? A variety of criteria have been proposed, in particular irenicity, stability, conservativeness, and unboundedness. This note charts their logical relations. This answers some open questions and corrects some old answers.

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Notre Dame J. Formal Logic Volume 52, Number 3 (2011), 331-338.

First available in Project Euclid: 28 July 2011

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Zentralblatt MATH identifier

Primary: 00A30: Philosophy of mathematics [See also 03A05] 03A05: Philosophical and critical {For philosophy of mathematics, see also 00A30} 03C65: Models of other mathematical theories

abstraction bad company problem conservativeness unboundedness stability irenicity


Linnebo, Øystein. Some Criteria for Acceptable Abstraction. Notre Dame J. Formal Logic 52 (2011), no. 3, 331--338. doi:10.1215/00294527-1435492.

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