On July 26 2005 00:33 Tontow wrote:
Food for thought:
-500 meters is still equal to 500 meters no matter how you split it up. Kochen said it first and its basic math: What you do to one side or part of the equation you must do to the other side or part of the equation. If you divide distance an infinite amount of times, then you must divide time an infinite amount of times.
500M / infinitely = time to run 500M / infinitely
-However, It is also mathematically feasible to prove Zeno correct. Assuming that we are dividing “time” an infinite amount of times, then somewhere along the line there is bound to be a repeating decimal.
Now, here is where it gets tricky. The following formula stats that any that any decimal that repeats -- (and ,thus, is infinite) – will infinitely approach and equal the next highest whole number, thus rounding it up. (Note: the proof was confirmed by my college math teacher.)
http://www.blizzard.com/press/040401.shtml
lim(m --> ∞) sum(n = 1)^m (9)/(10^n) = 1
0.9999... = 1
Thus x = 0.9999...
10x = 9.9999...
10x - x = 9.9999... - 0.9999...
9x = 9
x = 1.
-You must also look at the perception point of view. You perceive a single grain of rice falling; if you use an amplifier you can perceive the sound that that grain makes. The same goes for a bag of rice.
In this case the question is, “Are we perceiving that the runner is going from point A to point B? Or is he actually moving from point A to point B? Is it possible that both could be true?”
I hope this helps with your essay.
Food for thought:
-500 meters is still equal to 500 meters no matter how you split it up. Kochen said it first and its basic math: What you do to one side or part of the equation you must do to the other side or part of the equation. If you divide distance an infinite amount of times, then you must divide time an infinite amount of times.
500M / infinitely = time to run 500M / infinitely
-However, It is also mathematically feasible to prove Zeno correct. Assuming that we are dividing “time” an infinite amount of times, then somewhere along the line there is bound to be a repeating decimal.
Now, here is where it gets tricky. The following formula stats that any that any decimal that repeats -- (and ,thus, is infinite) – will infinitely approach and equal the next highest whole number, thus rounding it up. (Note: the proof was confirmed by my college math teacher.)
http://www.blizzard.com/press/040401.shtml
lim(m --> ∞) sum(n = 1)^m (9)/(10^n) = 1
0.9999... = 1
Thus x = 0.9999...
10x = 9.9999...
10x - x = 9.9999... - 0.9999...
9x = 9
x = 1.
-You must also look at the perception point of view. You perceive a single grain of rice falling; if you use an amplifier you can perceive the sound that that grain makes. The same goes for a bag of rice.
In this case the question is, “Are we perceiving that the runner is going from point A to point B? Or is he actually moving from point A to point B? Is it possible that both could be true?”
I hope this helps with your essay.
my math teacher of first grade in high school proved that shit wrong a couple of years ago when I gave her that