PhilSci Archive

Mathematical Explanation and Understanding: A Noetic Account

D'Alessandro, William and Lehet, Ellen (2022) Mathematical Explanation and Understanding: A Noetic Account. In: UNSPECIFIED.

[img]
Preview
Text
Mathematical Understanding PSA.pdf

Download (314kB) | Preview

Abstract

We defend a noetic account of intramathematical explanation. On this view, a piece of mathematics is explanatory just in case it produces an appropriate type of understanding. We motivate the view by presenting some appealing features of noeticism. We then discuss and criticize the most prominent extant version of noeticism, due to Matthew Inglis and Juan-Pablo Mejía-Ramos, which identifies explanatory understanding with the possession of detailed cognitive schemas. Finally, we present a novel noetic account. On our view, explanatory understanding arises from meeting specific explanatory objectives, the theory of which we briefly set out.


Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Conference or Workshop Item (UNSPECIFIED)
Creators:
CreatorsEmailORCID
D'Alessandro, Williamd.william@lmu.de0000-0002-5451-079X
Lehet, Ellenelehet@nd.edu0000-0002-5102-1990
Keywords: understanding, explanation, mathematics, noeticism, proof, mathematical explanation
Subjects: Specific Sciences > Mathematics > Epistemology
Specific Sciences > Mathematics > Explanation
Specific Sciences > Mathematics > Practice
Specific Sciences > Mathematics > Proof
Specific Sciences > Mathematics > Values
General Issues > Explanation
Specific Sciences > Mathematics
Depositing User: Dr. William D'Alessandro
Date Deposited: 29 May 2022 19:42
Last Modified: 29 May 2022 19:42
Item ID: 20697
Subjects: Specific Sciences > Mathematics > Epistemology
Specific Sciences > Mathematics > Explanation
Specific Sciences > Mathematics > Practice
Specific Sciences > Mathematics > Proof
Specific Sciences > Mathematics > Values
General Issues > Explanation
Specific Sciences > Mathematics
Date: 2022
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/20697

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item