You cannot set x to .9 repeating. That is not a constant not matter what x has to be an exact number. That is the flaw in your equation.
-reply by Isaac Smith
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#42 Guest_questioneverything_*
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Posted 27 May 2011 - 11:55 PM
Circles only exist as symbols within the mind of the observer. Mathmatically they do not exist, every possible concieved formula for calculating the area of a circle is an approximation, even the calculation for the perimeter of a circle is an approximation. In order for someone to prove to me they do exist, that person would have had to create a new measurement system entirely, luckily the mayans had a jump start(they could measure planetary orbits more accurate then us until we finally invented lasers.. put that in your pipe and smoke it.), unfortunately most of their mathmatics have been lost in time. And sadly I have found many mathmatical forumlas to be quite flawed and incomplete in my opinion; another such flaw I believe math to have is the understanding of i. But we'll talk about that perhaps another time.
#43 Guest_Nezumi_*
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Posted 01 June 2011 - 01:03 PM
questioneverything, on 27 May 2011 - 11:55 PM, said:
Circles only exist as symbols within the mind of the observer. Mathmatically they do not exist, every possible concieved formula for calculating the area of a circle is an approximation, even the calculation for the perimeter of a circle is an approximation. In order for someone to prove to me they do exist, that person would have had to create a new measurement system entirely, luckily the mayans had a jump start(they could measure planetary orbits more accurate then us until we finally invented lasers.. put that in your pipe and smoke it.), unfortunately most of their mathmatics have been lost in time. And sadly I have found many mathmatical forumlas to be quite flawed and incomplete in my opinion; another such flaw I believe math to have is the understanding of i. But we'll talk about that perhaps another time.
Finally someone who is talking sense. It are all approximations, 1/9 is approximate 0.111(infinite). That's why you were (or at least I was) thought that fractions are for maths and decimals are for physics and other practical things. Also we had to leave fractions and roots at the end of our calculation to show that its not approximate but accurate.
Concluding: math is all about theory and perfection, just like a circle!
#44 Guest_Chris Turnbull_*
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Posted 01 August 2011 - 11:21 AM
Nezumi, on 01 June 2011 - 01:03 PM, said:
Finally someone who is talking sense. It are all approximations, 1/9 is approximate 0.111(infinite). That's why you were (or at least I was) thought that fractions are for maths and decimals are for physics and other practical things. Also we had to leave fractions and roots at the end of our calculation to show that its not approximate but accurate.
Concluding: math is all about theory and perfection, just like a circle!
Concluding: math is all about theory and perfection, just like a circle!
Math IS all about theory and perfection. Circles, on the otherhand...
They are a completely different branch of mathematics then algebra. You may be able to prove that 0.9999~ = 1 algebraicly, but in our 3-dimesional world it will never hold true. Our minds think in 3 dimensions, and cannot comprehend infinity. Then arises the question does infinity actually exist? I am not compenent enough to answer, yet.
A circle is a polygon with an infinite amount of sides. Therefore, circles do not exist in our 3-dimensional world. Maybe they exist on some higher plane of beings with greater intelligence than us, but if you take any 'circle', no matter how 'curved' its circumference is, you will always be able to break it down into an incredibly huge number of straight lines, but not an infinite number of straight lines.
So, every cirlce in our universe therefore cannot be perfectly circular. All the cirlce theorems, and all properties of a circle are hypothetically applied to perfect cirles, yet perfect circles don't exist. The length of a circles diameter is Pi x the diameter, and here we discover something very interesting.
Now, lets assume there is no flaw in my arguement that circles don't exist. So, assume that a perfect circle does not exist.
Therefore, does Pi exist? No, it does not.
Why have we got a transcendential number that infinitely produces a long string of decimals with no pattern of any kind? Because we have derived this number from an impossible shape.
Again, I will refer to our 3-dimensional world. Because circles here will be extremely close to perfect roundness (this term is used loosely, as no matter how close circles are to perfect roundness it is never achieveable), the ratio of their circumference to their diameter will be extremely close to Pi, but never exactly reach it either.
From my memory, Pi is:
3.14159265358979323846264338327950288419716939937510582097497759230781640628620899862603421134825... (i think), yet a ratio between a circles cirumference and diameter may only equal:-
3.1415926535897932384626433832795028841972 and we logically cannot rule out this possibility now. Do you see?
Back do the question. Do cirles exist?
Circles are something man has created for amusement, amoung other things. But saying 'do cirles exist' really depends on your own definition of a circle. Therefore, based on your own veiws, beleifs and logic, you decide whether or not they exist. I have shared my veiws with you.
If you wish to dicuss this statement with me any further, you can contact me on 07784207942, which is my phone number... as i do not plan on returning to this thread again. Farewell.
#45 Guest_Urban_*
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Posted 14 December 2011 - 04:32 AM
Quote
"Then arises the question does infinity actually exist?"
This is precisely where the problem lies! What is infinity? Does infinity truly exist? Are there as many prime numbers as there are numbers? Of course. But if the number of prime numbers equals the number of numbers because both are infinite, there will always be an extra item beyond the last. There is no completeness. It turns ad nauseam - I say there is no such thing as infinity. It cannot be defined as it becomes equivocal. A mathematician rambles on about a "number series" when the question of infinity is raised. There can theoretically be an infinite number by counting sets. But still, there will always only be large numbers or small numbers, logically, physically, and in reality. It all goes back to Spinoza's sixth axiom, and Zeno before him, and even Heraclitus before him. We haven't really learned anything since, just learned how to apply everything...almost everything.
If infinity exists, a perfect circle can exist. But it doesn't.
#46
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Posted 28 December 2011 - 10:33 AM
All I can add is that circle and wheel for that same reason is really an interesting invention or creation, because as I know where is nothing round in nature and it was created by human mind, so it's really a good invention 
the Wheel
If you ask me, there can't be a perfect line or circle, but with current technology it can look quite like perfect circle and with quite high accuracy.
the Wheel If you ask me, there can't be a perfect line or circle, but with current technology it can look quite like perfect circle and with quite high accuracy.
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