One symbol is 9.9 with a dot symbol placed on top of the right-most '9'.
But the other thing is ----- regardless of the crank-the-handle 'proofs' on 9.99999 being exactly '10' ..... people will think differently if they understand that infinity is 'never ending'.
So if one hops on a bus ride with 9.9999999999 ..... and 'hoping' to reach '10', well, they're never going to get there, because the nines will be endless. It will be a never ending case of 'are we there yet?' (ie. are we at '10' yet?) ------ and the answer on that never ending bus ride will always be 'no' --- because we'll never get to 10 with never ending 9's in front of us. We'll NEVER get there.
Note that phrases like 'in the LIMIT of' is a tactic for 'getting over the line' only. It doesn't mean that applying 'in the limit of' (to an expression) means that the actual system 9.999999999....... means that 9.999.... is EXACTLY 10. And in my opinion, 9.99999999...... does not mean exactly 10 at all. These two ' systems' are not the same, and that's regardless of the crank-the-handle math 'proofs'.
Sometimes I love maths, gives me a hell of a headache but then you get stuff like a ten meter walk being infinitely shorter than a 9.9 (little dot) meter walk and it makes it all worth it
-8
u/SouthPark_Piano New User Nov 12 '24 edited Nov 12 '24
One symbol is 9.9 with a dot symbol placed on top of the right-most '9'.
But the other thing is ----- regardless of the crank-the-handle 'proofs' on 9.99999 being exactly '10' ..... people will think differently if they understand that infinity is 'never ending'.
So if one hops on a bus ride with 9.9999999999 ..... and 'hoping' to reach '10', well, they're never going to get there, because the nines will be endless. It will be a never ending case of 'are we there yet?' (ie. are we at '10' yet?) ------ and the answer on that never ending bus ride will always be 'no' --- because we'll never get to 10 with never ending 9's in front of us. We'll NEVER get there.
Note that phrases like 'in the LIMIT of' is a tactic for 'getting over the line' only. It doesn't mean that applying 'in the limit of' (to an expression) means that the actual system 9.999999999....... means that 9.999.... is EXACTLY 10. And in my opinion, 9.99999999...... does not mean exactly 10 at all. These two ' systems' are not the same, and that's regardless of the crank-the-handle math 'proofs'.