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Discussion in 'The OT' started by dorfd1, Mar 18, 2009.
I have a calculator!!!!
Actually, first was Zeno (490 BC) who wrote such paradox: http://uncyclopedia.wikia.com/wiki/Paradox_(Achilles_and_the_Tortoise).
If you are standing exactly 5' from a tree and with each step you walk precisely
half the distance toward the tree, how many steps will it take you to reach the tree?
You are standing at a place on the Planet Earth. You go south 1 mile, west 1 mile
and north 1 mile, finding yourself back at the exact same spot where you began.
Where are you?
What time is it?
If you are standing exactly 5' from a tree and with each step you walk precisely half the distance toward the tree, how many steps will it take you to reach the tree?
Answer: Technically, you won't. Practically, 3 steps.
You are standing at a place on the Planet Earth. You go south 1 mile, west 1 mile and north 1 mile, finding yourself back at the exact same spot where you began. Where are you?
Answer: North Pole
What time is it?
Answer: 15:08 in CA
Infinity is an illusion. A mathematical farce set forth to intimidate students and lesser men.
Any so-called infinite iteration of a number can be successfully and repeatedly calculated to it's absolute value at any point in time. Since infinity is a statement of time, no number is truly infinite.
Just pointing out both sides of the argument.
Actually, it doesn't. It's just the only way we can express it. No matter how many times you carry out the 3, it will still be a smaller number than 1/3. Just like .9999 (repeating) will always be a smaller number than 1. Always.
The number .99999... is unique in that mathmeticians have come to agree that it is indeed equal to 1. Although I tend to distrust Wikipedia, here is a reference:
Because fractions are rational numbers which are exact values and repeating decimals are irrational. Didn't anyone take algebra?
(ok, so I cheated and confirmed with the math teacher sitting to my left :lol
I was going to post something similar. Basically it is just one of the many flaws/glitches in our defined mathematical system.
By definition a ratio must be a rational number... however, we have many ratios that cannot be expressed as a rational number. This just exposes a flaw in the math, which no matter how you spin it, is a man-made constructed attempt to describe reality. It necessarily falls short from time to time.
I thought an irrational number was something like SQRT(-x).
10x ≠ 9.9; if x = 0.9; x = 9.9/10 in the second equation, or 0.99 = x ≠ 0.9, so I'm confused terribly. 0.9 x 10 = 9 not 9.9.
Its k dont be confused...just keep drinking your beer! :lol:
It all equal one.
There is an inherent error in significant digits and rounding.
Why does dividing by zero give your calculator and error and yet theoretical physicists use it all the time. BTW, it isn’t undefined, it equals infinity.
I was of the impression it was all relative.
Not any of my relatives.
<cough> I am trying too hard.
Repeating decimal are rational. It's the NON-repeating ones that are irrational. Remind me not to send any of my kids to the school where your math teacher teaches.
By definition, any ratio of natural numbers is a rational number. End of story.