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edit approved Apr 16, 2015 at 8:16
user74714
edit approved Apr 16, 2015 at 8:16
user74714

if iIf I was at point A$A$ and iI wanted to walk directly to point B$B$, iI would have to walk half way to point B$B$, but before that iI would have to walk half way to halfway to halfway to point B$B$ and half of that again and so on and so fourth. if iI halved this distance an infinite amount of times then there would be an infinite amount of actions iI would need to perform in order to cross from A$A$ to B$B$. thereforeTherefore, if each action took any quantity of time at all, then it would take me an infinite amount of time to cross from A$A$ to B$B$, even if A$A$ and B$B$ were only a few centimetres apart!

because iBecause I am not infinitely old and iI can move, there must be a flaw in this logic. whereWhere is it?

if i was at point A and i wanted to walk directly to point B, i would have to walk half way to point B, but before that i would have to walk half way to halfway to halfway to point B and half of that again and so on and so fourth. if i halved this distance an infinite amount of times then there would be an infinite amount of actions i would need to perform in order to cross from A to B. therefore if each action took any quantity of time at all, then it would take me an infinite amount of time to cross from A to B, even if A and B were only a few centimetres apart!

because i am not infinitely old and i can move, there must be a flaw in this logic. where is it?

If I was at point $A$ and I wanted to walk directly to point $B$, I would have to walk half way to point $B$, but before that I would have to walk half way to halfway to halfway to point $B$ and half of that again and so on and so fourth. if I halved this distance an infinite amount of times then there would be an infinite amount of actions I would need to perform in order to cross from $A$ to $B$. Therefore, if each action took any quantity of time at all, then it would take me an infinite amount of time to cross from $A$ to $B$, even if $A$ and $B$ were only a few centimetres apart!

Because I am not infinitely old and I can move, there must be a flaw in this logic. Where is it?

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How can an object move from point A to point B?

if i was at point A and i wanted to walk directly to point B, i would have to walk half way to point B, but before that i would have to walk half way to halfway to halfway to point B and half of that again and so on and so fourth. if i halved this distance an infinite amount of times then there would be an infinite amount of actions i would need to perform in order to cross from A to B. therefore if each action took any quantity of time at all, then it would take me an infinite amount of time to cross from A to B, even if A and B were only a few centimetres apart!

because i am not infinitely old and i can move, there must be a flaw in this logic. where is it?