Some Criteria for Acceptable Abstraction

Notre Dame Journal of Formal Logic 52 (3):331-338 (2011)
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Abstract

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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Author's Profile

Øystein Linnebo
University of Oslo

Citations of this work

Cardinality and Acceptable Abstraction.Roy T. Cook & Øystein Linnebo - 2018 - Notre Dame Journal of Formal Logic 59 (1):61-74.
Abstraction Reconceived.J. P. Studd - 2016 - British Journal for the Philosophy of Science 67 (2):579-615.
Conservativeness, Stability, and Abstraction.Roy T. Cook - 2012 - British Journal for the Philosophy of Science 63 (3):673-696.

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References found in this work

Neo-Fregeanism: An Embarrassment of Riches.Alan Weir - 2003 - Notre Dame Journal of Formal Logic 44 (1):13-48.
Reals by Abstraction.Bob Hale - 2000 - Philosophia Mathematica 8 (2):100--123.
Frege Meets Dedekind: A Neologicist Treatment of Real Analysis.Stewart Shapiro - 2000 - Notre Dame Journal of Formal Logic 41 (4):335--364.
Conservativeness, Stability, and Abstraction.Roy T. Cook - 2012 - British Journal for the Philosophy of Science 63 (3):673-696.
Introduction.Øystein Linnebo - 2009 - Synthese 170 (3):321-329.

View all 8 references / Add more references