User blog:Swooped me in one hit/Supertask.

Today I am writing about something not connected to Googology instead I am going to talk about super tasks in other words a task with a countably infinite ammount of steps but the task it self takes a finite length of time. For example imagine that you have a cake ready for your friends birthday celebration and there is an infinite number of people at the celebration is it possible to give all those people a slice of cake. Well to prove that you can cut a cake into an infinite number of pieces in just two pieces I will use a simple thought experiment first take the sharpest knife you have and cut the cake in half. Next wait 1 minute or half the time to cut the cake in half again wait 30 seconds or half of that to cut the cake in half again wait half of that or 15 seconds to cut the cake in half again wait half of that of 7.5 seconds to cut the cake in half again. The trick to doing this is to wait half the time between each cut and seeing as you could divide the time in half and infinite number of times you can cut the cake into an infinite number of pieces in just 2 minutes.

In reality a super task is impossible for the following reasons one time cannot be broken down into an infinite number of segments and 2 and object cannot be cut in half an infinite number of times as this would mean that you would never stop cutting the cake in half. 3 a true supertask would require someone to count at an infinite speed due to having to count how many times they cut it in half during the 2 minutes. 4 a supertask could never be compeltely as the task would never end meaning no cake for anyone. There are other examples of supertasks but that is probably the most simple of them all in my opinion.

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