the ugly contradiction at the heart of High School Geometry #35.3 Uni-text 8th ed.: TRUE CALCULUS
On Friday, November 1, 2013 4:23:16 AM UTC-5, Wizard-Of-Oz wrote: > Archimedes Plutonium <firstname.lastname@example.org> wrote in > > news:email@example.com: >
> > > There is no empty space between the points that lie on a line in > > geometry. None. > > > > > > > So you have Point, Empty Space, > > > Next Point, which gives the line its length. > > > > Nope. That's not geoemtry. >
Someone said this fool of Wizard of Oz is Eric Gisse. Can someone verify?
Now I do not write this to teach a fool for they are unteachable.
I write this for the readers that know logic. That know a contradiction when it is pointed out.
So you have in Old Geometry that a line is a set of points, and that points are without length, without width and without depth. But you are told a line has length. So how can a line have length if points never have length?
Well that is a logical contradiction.
The only remedy is to insert empty-space between one point and its successor point. The Naturals have length because the distance between 0 and 1 or 1 and 2 is empty space of 1 unit distance. The length of 0 to 2 is 2 because of 2 units of empty space.
So in Old Geometry, their entire subject was deeply, internally flawed, all because they never had **empty space** between successor points.
And the way to remedy or solve "What is empty space?" is to find out what the borderline is between finite and infinite, such as 10^603 which thus makes 10^-603 the microinfinity and the smallest empty space.
So, a fool like the above poster will never learn anything but the hatred he wallows in; but the reader who is objective and a modicum of logic will instantly understand how High School and College Geometry is a sewer of contradiction and how much of a fool they themselves were for sucking in that contradiction rather than protest to the teacher that to have real geometry, you need Point, Empty Space and Line.
Now, the only decent search for AP posts on Google, is a author search which eliminates hate spam but sad to say, as of 30 October, Google eliminated a Newsgroup author search because AP likes it so much. Whenever Google finds out that AP likes something, they are quick to eliminate it.
So the only search engine today doing author searches is Drexel.
All the other types of Google searches of AP are just top heavy in hate-spam posts due to search-engine-bombing practices by thousands of hatemongers who have nothing constructive to do in their lives but attack other people.