Erkenntnis:1-21 (forthcoming)

Authors
Alexander Reutlinger
Ludwig Maximilians Universität, München
Mark Colyvan
University of Sydney
Karolina Krzyżanowska
University of Amsterdam
Abstract
We explore the prospects of a monist account of explanation for both non-causal explanations in science and pure mathematics. Our starting point is the counterfactual theory of explanation (CTE) for explanations in science, as advocated in the recent literature on explanation. We argue that, despite the obvious differences between mathematical and scientific explanation, the CTE can be extended to cover both non-causal explanations in science and mathematical explanations. In particular, a successful application of the CTE to mathematical explanations requires us to rely on counterpossibles. We conclude that the CTE is a promising candidate for a monist account of explanation in both science and mathematics.
Keywords Explanation  Non-causal explanation  Mathematical explanation  Counterfactuals  Counterpossibles  Impossible worlds  Explanatory monism  Mathematics  Philosophy of Mathematics  Counterfactual theory of explanation
Categories (categorize this paper)
DOI 10.1007/s10670-020-00273-w
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Translate to english
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 60,750
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Counterfactuals.David Lewis - 1973 - Blackwell.

View all 40 references / Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Counterfactual Scheming.Sam Baron - 2020 - Mind 129 (514):535-562.
Against Mathematical Explanation.Mark Zelcer - 2013 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 44 (1):173-192.
Explanatory Abstractions.Lina Jansson & Juha Saatsi - 2019 - British Journal for the Philosophy of Science 70 (3):817–844.
Mathematical Explanation and Indispensability.Vineberg Susan - 2018 - Theoria : An International Journal for Theory, History and Fundations of Science 33 (2):233-247.

Analytics

Added to PP index
2020-02-23

Total views
66 ( #157,598 of 2,438,724 )

Recent downloads (6 months)
15 ( #45,127 of 2,438,724 )

How can I increase my downloads?

Downloads

My notes