Geometrical Objects as Properties of Sensibles: Aristotle’s Philosophy of Geometry

In: Phronesis
Author: Emily Katz1
View More View Less
  • 1 Department of Philosophy, Michigan State University, 368 Farm Lane, Room 503, East LansingMI 48824, USA
Download Citation Get Permissions

Access options

Get access to the full article by using one of the access options below.

Institutional Login

Log in with Open Athens, Shibboleth, or your institutional credentials

Login via Institution


Buy instant access (PDF download and unlimited online access):



There is little agreement about Aristotle’s philosophy of geometry, partly due to the textual evidence and partly part to disagreement over what constitutes a plausible view. I keep separate the questions ‘What is Aristotle’s philosophy of geometry?’ and ‘Is Aristotle right?’, and consider the textual evidence in the context of Greek geometrical practice, and show that, for Aristotle, plane geometry is about properties of certain sensible objects—specifically, dimensional continuity—and certain properties possessed by actual and potential compass-and-straightedge drawings qua quantitative and continuous. For their part, the objects of stereometry are potential sensible three-dimensional figures qua quantitative and continuous.

Content Metrics

All Time Past Year Past 30 Days
Abstract Views 534 150 12
Full Text Views 136 21 0
PDF Views & Downloads 187 70 0