Math question involving probability - not homework!

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zebano

Diamond Member
Jun 15, 2005
4,042
0
0
This reminds of an anciet greek math problem:

You have human racing against a turtle. The turtle has a 10 meter head start and the human runs 10 times as fast as the turtle (for simplicity).

They start. By the time the human reaches the point where from the turtle started, the turtle is 1 meter a head. Now the human runs that one meter and the turtle is now 10 centimeters ahead. Human runs that 10 cm and the turtle is 1 cm ahead. And so on and so on. We know that the human passes the turtle but if you look at it, the human just gets infinitely closer but never passes the turtle...

yes, and time units continues to progress at 1/10 of the previous calculated unit and these move quickly towards 0. What's your point?
 

CoinOperatedBoy

Golden Member
Dec 11, 2008
1,809
0
76
This reminds of an anciet greek math problem:

You have human racing against a turtle. The turtle has a 10 meter head start and the human runs 10 times as fast as the turtle (for simplicity).

They start. By the time the human reaches the point where from the turtle started, the turtle is 1 meter a head. Now the human runs that one meter and the turtle is now 10 centimeters ahead. Human runs that 10 cm and the turtle is 1 cm ahead. And so on and so on. We know that the human passes the turtle but if you look at it, the human just gets infinitely closer but never passes the turtle...

This is a common philosophical question posed when teaching integration and differentiation for the first time.
 

Hacp

Lifer
Jun 8, 2005
13,923
2
81
This reminds of an anciet greek math problem:

You have human racing against a turtle. The turtle has a 10 meter head start and the human runs 10 times as fast as the turtle (for simplicity).

They start. By the time the human reaches the point where from the turtle started, the turtle is 1 meter a head. Now the human runs that one meter and the turtle is now 10 centimeters ahead. Human runs that 10 cm and the turtle is 1 cm ahead. And so on and so on. We know that the human passes the turtle but if you look at it, the human just gets infinitely closer but never passes the turtle...

WTF are you talking about? You make no sense.