Foliation-Like Structure in Metaphysics

Abstract

I argue that a recognisable class of metaphysical posits shares a formal structure with the postulation of a privileged global present in special relativity. In both cases one starts with a genuine invariant partial order—causal precedence for events, metaphysical dependence for entities or facts—and then selects a particular total structure (a foliation, a hierarchy of levels) from among many that are equally compatible with the invariant. By Szpilrajn’s theorem, non-trivial partial orders admit multiple linear extensions; so the selection is strictly additional information. I call a posit foliation-like when it (F1) commits to such a selection, (F2) does so within a domain whose admissible extensions form a non-singleton class, and (F3) cannot be distinguished by any further invariant or by explanatory work unavailable to its rivals. The relativistic case is not an analogy for this diagnostic but an instance of it. I argue that some contemporary uses of “priority”, “fundamentality”, and “levels of reality”—most visibly Schaffer-style priority monism and graded-fundamentality proposals—are foliation-like in precisely this sense, while local dependence relations (constitution, realisation, determinate–determinable, mereological composition) are not. The proposal is diagnostic rather than eliminativist: it identifies a specific argumentative burden that defenders of global stratification must discharge, without requiring anti-realism about grounding, explanation, or asymmetric dependence.

Other Versions

No versions found

Links

PhilArchive

External links

  • This entry has no external links. Add one.
Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

  • Only published works are available at libraries.

Similar books and articles

The unity and priority arguments for Grounding.Jessica M. Wilson - 2016 - In Ken Aizawa & Carl Gillett, Scientific Composition and Metaphysical Ground. London: Palgrave-Macmillan. pp. 171-204.
What is priority monism?David Mark Kovacs - 2021 - Philosophical Studies 178 (9):2873-2893.
Symmetric Dependence.Elizabeth Barnes - 2018 - In Ricki Bliss & Graham Priest, Reality and its Structure: Essays in Fundamentality. Oxford, UK: Oxford University Press. pp. 50-69.
Grounding Relations Are Not Unified.James Dominic Rooney - 2019 - International Philosophical Quarterly 59 (1):57-64.
No work for a theory of Grounding.Jessica M. Wilson - 2014 - Inquiry: An Interdisciplinary Journal of Philosophy 57 (5):535-579.
Flat Spacetime Gravitation with a Preferred Foliation.J. B. Pitts & W. C. Schieve - 2001 - Foundations of Physics 31 (7):1083-1104.

Analytics

Added to PP
2026-04-20

Downloads
90 (#600,346)

6 months
90 (#129,948)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Samuel Fernando Faria da Silva
University of São Paulo

Citations of this work

No citations found.

Add more citations

References found in this work

Monism: The Priority of the Whole.Jonathan Schaffer - 2010 - Philosophical Review 119 (1):31-76.
The privileged present : Defending an "a-theory" of time.Dean W. Zimmerman - 2008 - In Theodore Sider, John Hawthorne & Dean W. Zimmerman, Contemporary debates in metaphysics. Malden, MA: Blackwell. pp. 211--225.

Add more references