previous next
[510d] from these, and pursuing the inquiry from this point on consistently, conclude with that for the investigation of which they set out.” “Certainly,” he said, “I know that.” “And do you not also know that they further make use of the visible forms and talk about them, though they are not thinking of them but of those things of which they are a likeness, pursuing their inquiry for the sake of the square as such and the diagonal as such, and not for the sake of the image of it which they draw1?

1 Cf. 527 A-B. This explanation of mathematical reasoning does not differ at all from that of Aristotle and Berkely and the moderns who praise Aristotle, except that the metaphysical doctrine of ideas is in the background to be asserted if challenged.

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 3.0 United States License.

An XML version of this text is available for download, with the additional restriction that you offer Perseus any modifications you make. Perseus provides credit for all accepted changes, storing new additions in a versioning system.

load focus Notes (James Adam)
load focus Greek (1903)
hide Places (automatically extracted)

View a map of the most frequently mentioned places in this document.

Download Pleiades ancient places geospacial dataset for this text.

hide Display Preferences
Greek Display:
Arabic Display:
View by Default:
Browse Bar: