Suspension of judgment, non-additivity, and additivity of possibilities

Acta Analytica:1-22 (forthcoming)
  Copy   BIBTEX

Abstract

In situations where we ignore everything but the space of possibilities, we ought to suspend judgment—that is, remain agnostic—about which of these possibilities is the case. This means that we cannot sum our degrees of belief in different possibilities, something that has been formalized as an axiom of non-additivity. Consistent with this way of representing our ignorance, I defend a doxastic norm that recommends that we should nevertheless follow a certain additivity of possibilities: even if we cannot sum degrees of belief in different possibilities, we should be more confident in larger groups of possibilities. It is thus shown that, in the type of situation considered (in so-called ‘classical ignorance’, i.e. “behind a thin veil of ignorance”), it is epistemically rational for advocates of suspending judgment to endorse this comparative confidence; while on the other hand it is shown that, even in classical ignorance, no stronger belief—such as a precise uniform probability distribution—is warranted.

Similar books and articles

Why Countable Additivity?Kenny Easwaran - 2013 - Thought: A Journal of Philosophy 2 (1):53-61.
Countable Additivity, Idealization, and Conceptual Realism.Yang Liu - 2020 - Economics and Philosophy 36 (1):127-147.
The Significance of Value Additivity.Campbell Brown - 2022 - Erkenntnis 87 (6):2547-2570.
Countable additivity and subjective probability.Jon Williamson - 1999 - British Journal for the Philosophy of Science 50 (3):401-416.
Realism, Convergence, and Additivity.Cory Juhl & Kevin T. Kelly - 1994 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1994:181 - 189.
Accuracy-First Epistemology Without Additivity.Richard Pettigrew - 2022 - Philosophy of Science 89 (1):128-151.
All roads lead to violations of countable additivity.Jacob Ross - 2012 - Philosophical Studies 161 (3):381-390.

Analytics

Added to PP
2024-02-16

Downloads
138 (#133,265)

6 months
138 (#26,444)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Aldo Filomeno
Universidad Catolica de Valparaiso

Citations of this work

No citations found.

Add more citations

References found in this work

Why Suspend Judging?Jane Friedman - 2017 - Noûs 51 (2):302-326.
Evidential Symmetry and Mushy Credence.Roger White - 2009 - Oxford Studies in Epistemology 3:161-186.
Accuracy, Risk, and the Principle of Indifference.Richard Pettigrew - 2016 - Philosophy and Phenomenological Research 92 (1):35-59.

View all 41 references / Add more references