By request of Wiseman.

The Lawn Mower Man

Imagine a lawn mower with a stop/start switch. One click of the switch turns the lawn mower on

the next click turns it off the next click turns it on and so on. Now imagine a person able to turn

it on and off as quickly as necessary.

He turns the mower on, then after exactly 1 minute he turns it off. He turns the mower back on after half a minute then off after another quarter minute.

He repeats this process but always reducing the time interval by exactly half each time. The sum of all these progressively smaller times is exactly two minutes.

The question now comes in 2 parts:

1.) After exactly 2 minutes is the lawn mower switched on or switched off?

2.) If the the the lawn mower had already been switched on to start with would the outcome still be the same?