{"id":251,"date":"2016-09-05T19:43:19","date_gmt":"2016-09-05T23:43:19","guid":{"rendered":"http:\/\/commons.trincoll.edu\/macecourses\/?page_id=251"},"modified":"2016-09-05T19:47:39","modified_gmt":"2016-09-05T23:47:39","slug":"meno-proof-with-diagrams","status":"publish","type":"page","link":"http:\/\/commons.trincoll.edu\/macecourses\/meno-proof-with-diagrams\/","title":{"rendered":"Meno proof with diagrams"},"content":{"rendered":"

Meno Proof with diagrams<\/span><\/p>\n

Soc. I know, Meno, what you mean; but just see what a tiresome dispute you are introducing. You argue that man cannot enquire either about that which he knows, or about that which he does not know; for if he knows, he has no need to enquire; and if not, he cannot; for he does not know the, very subject about which he is to enquire.<\/p>\n

Soc. Tell me, boy, do you know that a figure like this is a square?
\nBoy. I do.
\nSoc. And you know that a square figure has these four lines equal?<\/p>\n

\"\"Here is a figure to go with this part of the dialogue.<\/p>\n

LATER<\/p>\n

Soc. Observe him while he recalls the steps in regular order. (To the Boy.) Tell me, boy, do you assert that a double space comes from a double line? Remember that I am not speaking of an oblong, but of a figure equal every way, and twice the size of this-that is to say of eight feet; and I want to know whether you still say that a double square comes from double line?<\/p>\n

Boy. Yes.<\/p>\n

Soc. But does not this line become doubled if we add another such line here? [Add BJ to AB]<\/p>\n

Boy. Certainly.<\/p>\n

Soc. And four such lines will make a space containing eight feet?<\/p>\n

Boy. Yes.<\/p>\n

Soc. Let us describe such a figure: Would you not say that this is the figure of eight feet? [add JK, KL, and LA]<\/p>\n

Boy. Yes.<\/p>\n

Soc. And are there not these four divisions in the figure, each of which is equal to the figure of four feet?<\/p>\n

\"\"Here is a second figure to go with this part of the dialogue.<\/p>\n

LATER<\/p>\n

Soc. 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. Tell me, boy, is not this a square of four feet which I have drawn? [Draws ABCD]<\/p>\n

\"\"Here is the third figure to go with this part of the dialogue.<\/p>\n

Boy. Yes.<\/p>\n

Soc. And now I add another square equal to the former one?<\/p>\n

Boy. Yes.<\/p>\n

Soc. And a third, which is equal to either of them?<\/p>\n

Boy. Yes.<\/p>\n

Soc. Suppose that we fill up the vacant corner?<\/p>\n

Boy. Very good.<\/p>\n

Soc. Here, then, there are four equal spaces?<\/p>\n

Boy. Yes.<\/p>\n

Soc. And how many times larger is this space than this other?<\/p>\n

Boy. Four times.<\/p>\n

Soc. But it ought to have been twice only, as you will remember.<\/p>\n

Boy. True.<\/p>\n

Soc. And does not this line, reaching from corner to corner, bisect each of these spaces?<\/p>\n

Boy. Yes.<\/p>\n

Soc. And are there not here four equal lines which contain this space?<\/p>\n

Boy. There are.<\/p>\n

Soc. Look and see how much this space is.<\/p>\n

Boy. I do not understand.<\/p>\n

Soc. Has not each interior line cut off half of the four spaces?<\/p>\n

Boy. Yes.<\/p>\n

Soc. And how many spaces are there in this section?<\/p>\n

Boy. Four.<\/p>\n

Soc. And how many in this?<\/p>\n

Boy. Two.<\/p>\n

Soc. And four is how many times two?<\/p>\n

Boy. Twice.<\/p>\n

Soc. And this space is of how many feet?<\/p>\n

Boy. Of eight feet.<\/p>\n

Soc. And from what line do you get this figure?<\/p>\n

Boy. From this.<\/p>\n

Soc. That is, from the line which extends from corner to corner of the figure of four feet?<\/p>\n

History of Psych Syllabus<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Meno Proof with diagrams Soc. I know, Meno, what you mean; but just see what a tiresome dispute you are introducing. You argue that man cannot enquire either about that which he knows, or about that which he does not know; for if he knows, he has no need to enquire; and if not, he … Continue reading “Meno proof with diagrams”<\/span><\/a><\/p>\n","protected":false},"author":481,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ngg_post_thumbnail":0},"_links":{"self":[{"href":"http:\/\/commons.trincoll.edu\/macecourses\/wp-json\/wp\/v2\/pages\/251"}],"collection":[{"href":"http:\/\/commons.trincoll.edu\/macecourses\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/commons.trincoll.edu\/macecourses\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/commons.trincoll.edu\/macecourses\/wp-json\/wp\/v2\/users\/481"}],"replies":[{"embeddable":true,"href":"http:\/\/commons.trincoll.edu\/macecourses\/wp-json\/wp\/v2\/comments?post=251"}],"version-history":[{"count":2,"href":"http:\/\/commons.trincoll.edu\/macecourses\/wp-json\/wp\/v2\/pages\/251\/revisions"}],"predecessor-version":[{"id":254,"href":"http:\/\/commons.trincoll.edu\/macecourses\/wp-json\/wp\/v2\/pages\/251\/revisions\/254"}],"wp:attachment":[{"href":"http:\/\/commons.trincoll.edu\/macecourses\/wp-json\/wp\/v2\/media?parent=251"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}