Infinity Is Not a Real Number
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Subutai
Voting Style:  Open  Point System:  Select Winner  
Started:  6/21/2015  Category:  Miscellaneous  
Updated:  1 year ago  Status:  Post Voting Period  
Viewed:  994 times  Debate No:  55865 
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This debate will probably mark the end of my use of math debates. It's an old one I challenged someone to a while back, but they never accepted it. This debate is open to anyone, and lacks a formal structure. The first round will be for acceptance, and there'll be two rounds of debate. I will not define infinity itself, as any definition will confer an unfair advantage to one debater, but I will define what a real number is. A real number is a value that represents a quantity along a continuous line.[1] Sources [1]: https://en.wikipedia.org...
I feel I could of taken either side of this debate, and please link any sources as far as links to math related subjects. I plan on arguing from a basis of infinite recurring patterns such as Fibonacci or Pi, definition of infinity agreed as MATHEMATICS a number greater than any assignable quantity or countable number (symbol W34;). ? 

Returning to the definition of a real number, a real number is defined as "...a value that represents a quantity along a continuous line." The set of real numbers, along with the binary operation of addition, form a group called the reals. The reals obey certain axioms. Other rules can be deduced from those axioms. I will prove that if x and y are positive numbers, x+y is greater than both x and y.[1] I will do this by contradiction  suppose that if x and y were positive real numbers, the x+y was not greater than both x or y. By one of the order axioms, x+y is also positive, or (x+y)>0. Suppose that x is greater than x+y (substituting y makes no difference). Then (x+y)<x, implying y<0, which is a contradiction, since y was defined to as a positive number. Therefore, by contradiction, if x and y are positive real numbers, then x+y is greater than both x and y.[2] Using this, take the case of 1 and infinity. 1 is obviously positive and infinity is defined as positive. 1+infinity=infinity, but infinity is not greater than infinity. Therefore, either 1 or infinity is not a real number. 1 is defined to be a real number, so infinity must not be a real number. Therefore, infinity is not a real number. Sources [1]: https://en.wikipedia.org... [2]: http://wwwhistory.mcs.stand.ac.uk...;(see The Axioms  II The Order Axioms  (b)) thespiveyman forfeited this round. 

Well it seems like everyone has been abandoning my debates recently. Extend my arguments.
thespiveyman forfeited this round. 
It, I'll do it.
What defensible argument could Con present? A criticism of your treatment of 1+infinity=infinity might suffice for the first round of arguments, but this is easily rebutted by pointing out 1+infinity>infinity contradicts any typical definition of infinity (and the definition Con provides for that matter).
Usually, expressed by the tilted 8 which is a visica pisces or sometimes an 0 (zero) an elongated circle or simply a circle. Time is 360 degrees, a wheel, as is the zodiac as is the earth per depiction Another such symbol is ouborous, the snake eating its own tail. Which is why the mayan used circles to describe time, cycles and we use clocks or the zodiac.
Breaking the circle or loop breaks time, which is exactly why time drags on "forever'. Time is an enclosure, quantifying and imprisoning a piece of NOthing to create someTHING.
We use physical symbols to describe quantities, the physical realm per definition is a limitation.
I would look into the concept of the flower of life, shapes, sound in color.