PhilSci Archive

Demarcating Descartes's Geometry with Clarity and Distinctness

Moon, Stella S (2023) Demarcating Descartes's Geometry with Clarity and Distinctness. [Preprint]

[img]
Preview
Other (pdf)
Descartes_Final_Submission_2__deanonymised.pdf - Accepted Version

Download (696kB) | Preview

Abstract

Descartes’s doctrine of clarity and distinctness states that whatever is clearly and distinctly perceived is true. This paper looks at his early doctrine from Rules for the Direction of the Mind, and its application to the demarcation problem of curves in Descartes’s Geometry. This paper offers and defends a novel account of the demarcation criterion of curves: a curve is geometrical just in case it is clearly and distinctly perceivable. This account connects Descartes’s rationalist epistemological programme with his ontological views about mathematics.


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

Item Type: Preprint
Creators:
CreatorsEmailORCID
Moon, Stella Smoon@flu.cas.cz0009-0009-9883-1518
Keywords: Descartes, Clarity and Distinctness, Geometry, Demarcation Problem
Subjects: Specific Sciences > Mathematics > History
General Issues > History of Philosophy of Science
Specific Sciences > Mathematics
Depositing User: Dr. Stella S Moon
Date Deposited: 18 Sep 2023 18:47
Last Modified: 18 Sep 2023 18:47
Item ID: 22554
Subjects: Specific Sciences > Mathematics > History
General Issues > History of Philosophy of Science
Specific Sciences > Mathematics
Date: 2023
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/22554

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item