Hi posters !
Many a time, I use this expression : "paradigm shift".
I would like to show you a simple example of what it is.
I think that like everybody, you have been told that the circumference of a circle is 2xPIxR. That is, the diameter of the circle multiplied by
3.14159....
Well follow me on this image :
On Fig#1, you see a circle, and a square in it.
Obviously, the circumference of the circle is longer than the perimeter of the square !
So, like in Fig#2, let us divide each side of the square so the figure ACB fits more to the circle than the side AB.
Obviously, the length of ACB is longer than the length of AB : are we approaching the length of the circumference ?
You see in Fig3 that we continue this process : ADC is longer than AC.
So, each time we divide a segment, the resulting length is longer than the original length.
If we repeat that many many times, the resulting length will be ever longer than the original length.
That means that the circumference of the circle is INFINITE !
This is one of the examples given by MANDELBROT, a mathematician, who invented and promoted the FRACTALS.
He gave as an other example this question : what is the length of the coasts of Britany ?
As you guess it, the answer is : INFINiTE.
You may figure the logic of such an answer if you search the surface of a sponge, or a very porous stone.
Same answer : INFINITE !
Paradigm shift is like the shock you're feeling there.
Considering the certain things under an other angle.
Example of "certainty" : "one may never travel between galaxies, because C (the speed of light) is the limit speed of everything"
But here, explaining the paradigm shift is less trivial ...