The article “When experimental mathematics fails” at http://motls.blogspot.com/2012/05/when-experimental-mathematics-fails.html is actually a good article about mathematics. But, no average web reader can comprehend it. Its key point is about two numbers however close (even having 500 identical digits after the decimal point) can still be different. In fact, two numbers can have trillions*trillions*…*trillions identical digits after the decimal point while they still have different tails. Thus, the following statement can be practically true.
When a – b = 0, a can still be not equal to b.
Yet, the author of the above-mentioned article failed to reach this simple logic conclusion. If he has realized this fact, he will understand a new mathematics.