Grounding and auto-abstraction

Synthese 198 (11):10187-10205 (2020)
  Copy   BIBTEX

Abstract

Abstraction principles and grounding can be combined in a natural way Modality: metaphysics, logic, and epistemology, Oxford University Press, Oxford, pp 109–136, 2010; Schwartzkopff in Grazer philosophische studien 82:353–373, 2011). However, some ground-theoretic abstraction principles entail that there are circles of partial ground :775–801, 2017). I call this problem auto-abstraction. In this paper I sketch a solution. Sections 1 and 2 are introductory. In Sect. 3 I start comparing different solutions to the problem. In Sect. 4 I contend that the thesis that the right-hand side of an abstraction principle is prior to its left-hand side motivates an independence constraint, and that this constraint leads to predicative restrictions on the acceptable instances of ground-theoretic abstraction principles. In Sect. 5 I argue that auto-abstraction is acceptable unless the left-hand side is essentially grounded by the right-hand side. In Sect. 6 I highlight several parallelisms between auto-abstraction and the puzzles of ground. I finally compare my solution with the strategies listed in Sect. 3.

Similar books and articles

Abstraction Relations Need Not Be Reflexive.Jonathan Payne - 2013 - Thought: A Journal of Philosophy 2 (2):137-147.
Abstraction Reconceived.J. P. Studd - 2016 - British Journal for the Philosophy of Science 67 (2):579-615.
Bad company and neo-Fregean philosophy.Matti Eklund - 2009 - Synthese 170 (3):393-414.
Bad company tamed.Øystein Linnebo - 2009 - Synthese 170 (3):371 - 391.
Structural-Abstraction Principles.Graham Leach-Krouse - 2015 - Philosophia Mathematica:nkv033.
Which abstraction principles are acceptable? Some limitative results.Øystein Linnebo & Gabriel Uzquiano - 2009 - British Journal for the Philosophy of Science 60 (2):239-252.
Cardinality and Acceptable Abstraction.Roy T. Cook & Øystein Linnebo - 2018 - Notre Dame Journal of Formal Logic 59 (1):61-74.
A New Approach to the Grounding of Abstract Concepts.Tim Seuchter - 2011 - Kriterion - Journal of Philosophy 25 (1):53-63.
Neologicist Nominalism.Rafal Urbaniak - 2010 - Studia Logica 96 (2):149-173.
Conservativeness, Stability, and Abstraction.Roy T. Cook - 2012 - British Journal for the Philosophy of Science 63 (3):673-696.
Presentism and the grounding of truth.Alex Baia - 2012 - Philosophical Studies 159 (3):341-356.
Abstraction and Four Kinds of Invariance.Roy T. Cook - 2017 - Philosophia Mathematica 25 (1):3–25.
Care and Abstract Principles.Ornaith O'Dowd - 2012 - Hypatia 27 (2):407-422.

Analytics

Added to PP
2020-06-05

Downloads
47 (#330,788)

6 months
13 (#182,749)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Luca Zanetti
Scuola Universitaria Superiore IUSS Pavia

Citations of this work

Collective Abstraction.Jon Erling Litland - 2022 - Philosophical Review 131 (4):453-497.

Add more citations

References found in this work

On what grounds what.Jonathan Schaffer - 2009 - In David Manley, David J. Chalmers & Ryan Wasserman (eds.), Metametaphysics: New Essays on the Foundations of Ontology. Oxford University Press. pp. 347-383.
No Work for a Theory of Grounding.Jessica M. Wilson - 2014 - Inquiry: An Interdisciplinary Journal of Philosophy 57 (5-6):535-579.
Guide to Ground.Kit Fine - 2012 - In Fabrice Correia & Benjamin Schnieder (eds.), Metaphysical Grounding. Cambridge University Press. pp. 37--80.
Metaphysical Dependence: Grounding and Reduction.Gideon Rosen - 2010 - In Bob Hale & Aviv Hoffmann (eds.), Modality: Metaphysics, Logic, and Epistemology. Oxford University Press. pp. 109-135.
Grounding: Toward a Theory of the I n-Virtue-Of Relation.Paul Audi - 2012 - Journal of Philosophy 109 (12):685-711.

View all 28 references / Add more references