hdm245
April 14, 2006, 7:24pm
41
<p>
i still don't know how that works. does x+2 ever equal x?
</p>
<p>No, simply because any number plus a non-zero number cannot and will not be the same number. 0 is the only additive identity. To see this visually graph y=x and y=x+2. The curves (obviously) never cross. The fact that the first statement is false is what makes the rest of the "proof" work.</p>
surge
April 14, 2006, 7:27pm
42
<p>The "difference" in notation between 1 and .999 is (1/oo)</p>
<p>If everyone remembers there properties of infinity...</p>
<p>(1/oo)=0
1-(1/oo)=.9999=1-0=1</p>
<p>(oo=infinity, btw)</p>
Gospy
April 14, 2006, 7:30pm
43
<p>^I don't know if I would say that surge.</p>
surge
April 14, 2006, 7:38pm
44
<p>Of course, that's an informal flawed proof (just trying to make it easier to understand).</p>
<p>Since x/(oo)=0, you could say that .9999....7=.9999....</p>
<p>That is sooooo cool! I'm going to have to share that in math class. (I'm really really good in math and never saw this... I'm a dodo brain.)</p>
<p>No stuff; someone needs to prove here how to square the volume of a cube...</p>
surge
April 14, 2006, 9:19pm
48
<p>^^^^????</p>
<p>Volume of a cube= x
Volume of the cube squared=y</p>
<p>x^2=y</p>
<p>x^2 will always equal the volume a cube squared, therefore x^2 is the volume of a cube squared</p>
<p>Q.E.D.</p>
<p>Two numbers a and b are different IF AND ONLY IF there is a number n such that a<n<b or="" a="">n>b</n<b></p>
<p>With 0.999~ and 1, this is clearly not the case.</p>
<p>Proof: 1-0.999~=0.000~=0</p>
<p>Therefore, no number n between 1 and 0.999~ exists. 0.999~=1.</p>
<p>
[quote]
Two numbers a and b are different IF AND ONLY IF there is a number n such that a<n<b or="" a="">n>b</n<b></p>
<p>With 0.999~ and 1, this is clearly not the case.</p>
<p>Proof: 1-0.999~=0.000~=0</p>
<p>Therefore, no number n between 1 and 0.999~ exists. 0.999~=1.
[/quote]
I like this proof.
[quote]
^^^^????</p>
<p>Volume of a cube= x
Volume of the cube squared=y</p>
<p>x^2=y</p>
<p>x^2 will always equal the volume a cube squared, therefore x^2 is the volume of a cube squared</p>
<p>Q.E.D.
[/quote]
What is the point of this?!</p>