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9 - Meditation Six (I) : The Meditator determines that he is apparently attached to a particular human body. His mind and this putative body are nevertheless distinct and separable, so that immortality is possible even if bodies in general are perishable

Published online by Cambridge University Press:  05 June 2012

Catherine Wilson
Affiliation:
University of British Columbia, Vancouver
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Summary

VISUAL IMAGINATION – THE MEDITATOR'S PUTATIVE BODY (AT VII:72–8)

It remains for me to examine whether material things exist … I now know they are capable of existing, in so far as they are the subject matter of pure mathematics, since I perceive them clearly and distinctly.

(vii:71)

Anything could exist, could be created by God, the Meditator decides, so long as there is no contradiction involved in the supposition that it is perceived distinctly. The notion of a material object that is regarded as the subject matter of pure mathematics is not self-contradictory, for there is no contradiction involved in my perceiving a geometrical object such as a triangle or a cube or a sphere distinctly. What is it, though, for a body to be regarded mathematically, to be “the subject matter of pure mathematics?”

Recall that the Meditator decided in Meditation Five that what was distinctly imagined in bodies was their “continuous quantity.” A body and its parts are characterized by the following attributes:

  1. Extension in length, breadth, and depth

  2. Division or divisibility into parts possessing various sizes, shapes, and positions

  3. Motion of these parts, of various intensities and durations

Mathematics treats of objects of certain dimensions, certain sizes, shapes, and relative positions. A formula such as x + y = 2 can be represented as a line on a graph, and we can write the formula for a circle.

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Descartes's Meditations
An Introduction
, pp. 170 - 194
Publisher: Cambridge University Press
Print publication year: 2003

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