Thursday, November 6, 2014

10.3, Due on November 6

So the reading was not too difficult as it is simply the opposite of section 10.2.  By far the most difficult part was understanding the proof that an open interval is not a denumerable set.  I understand that it has to do with something being expressed as .40000 and .39999 and that not making it onto, but not sure the stuff in between.

The most interesting thing of course was simply that .40000 and .39999 are the same number.  That kind of blew my mind, but it makes sense.  By that reasoning is .40000000...1 also the same number?

No comments:

Post a Comment