Download Plato's mathematical imagination: the mathematical passages by Robert Sherrick Brumbaugh PDF

By Robert Sherrick Brumbaugh

Show description

Read or Download Plato's mathematical imagination: the mathematical passages in the dialogues and their interpretation PDF

Best humanities books

Balkan Transitions to Modernity and Nation-States: Through the Eyes of Three Generations of Merchants (1780s-1890s) (Balkan Studies Library, Book 6)

Drawing upon formerly unpublished advertisement ledgers and correspondence, this research deals a collective social biography of 3 generations of Balkan retailers. own bills humanize multiethnic networks that navigated a number of social structures aiding and opposing quite a few elements of nationalist ideologies.

Additional resources for Plato's mathematical imagination: the mathematical passages in the dialogues and their interpretation

Example text

Such a space then, will be made out of a line greater than this one, and less than that one? [greater than AB, less than AE, Fig. 6] BOY: Yes, I think so. : Very good; I like to hear you say what you think. And now tell me, is not this a line of two feet and that of four? BOY: Yes. : Then the line which forms the side of eight feet ought to be more than this line of two feet, and less than the other of four feet? BOY: It ought. : Try and see if you can tell me how much it will be. BOY: Three feet.

We have certainly, as would seem, assisted him in some degree to the discovery of the truth; and now he will wish to remedy his ignorance, but then he would have been ready to tell all the world again and again that the double space should have a double side. MENO: True. : But do you suppose that he would ever have enquired into or learned what he fancied that he knew, though he was really ignorant of it, until he had fallen into perplexity under the idea that he did not know, and had desired to know?

MENO: True. : But do you suppose that he would ever have enquired into or learned what he fancied that he knew, though he was really ignorant of it, until he had fallen into perplexity under the idea that he did not know, and had desired to know? MEND: I think not, Socrates. : Then he was the better for the torpedo's touch? MENO: I think so. : Mark now the farther development. I shall only ask him, and not teach him, and he shall share the enquiry with me: and do you watch and see if you find me telling or explaining anything to him, instead of eliciting his opinion.

Download PDF sample

Rated 4.67 of 5 – based on 20 votes