Square root of 2

  • Thread starter Cheman
  • Start date
  • #26
42
0
counting meters is like counting space. counting space is counting time and counting velocity. if you started counting exactly when you started and finish exactly when you finish, and counting steadily exactly as you go, you will be exactly on track.
 
  • #27
It is my opinion that all infinitly represented decimal values represent a definite region, length or space. It is this presumption that leads me to believe that it is possible to have a square root of two hypotenuse when compared approximatley, relativley and yes, even exactly to the length 1 legs.
 
  • #28
1,679
3
You must not confuse the mathematical operation you perform with the reality you
want to model. This is how you fall into Zeno's paradox.

There is nothing mathematically special about the mapping between an irrational
or trancendental number and a physical quantity like a length.

To convince yourself, merely change your number base from 10 to 12. Then 1/3
is no longer an infinite repeating representation.

Of course root 2 is still infinite and non-repeating in any base, but
that's incidental.
 

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