User blog:MachineGunSuper/Supertasks

I've got a few things to cover in this blog bost:

I already know what they mean, but in case you don't, it means doing an infinite amount of stuff in a finite amount of time.

A great example is with a cake:

Cut a cake in half, then wait 30 seconds before cutting the half in half. Then wait 15 seconds and cut again. and if you keep cutting into half and each time wait half as much, you would in a finite amount of time cut and infinite amount of slices and place them in a finite space.

My favourite examples are these:

If we built a machine that could display the digits of pi like this: Start with the 3, then in 30 seconds the 1 then in 15 the 4 and so on, we would display all the digits of pi. What would be on the screen now?

Second, if on a monitor we displayed the colors red and blue, if we did the same thing what color would be displayed?

A way to solve a simpler supertask is with a ball:If it bounced it on a table the same way as I described the other supertasks, after bouncing an infinite amount of times it will obviously be on the table and not bouncing

My main 2 questions are:

a) Will we ever be able to solve the harder ones?

b) This questions the whole concept of a supertask, is it even possible to do it an infinite amount of times? I mean, we could fit an infinite amount of lines in a finite space using a supertask but for the other examples could we reach infinity? Wouldn't it just be a big finite amount rather than infinity?