The Instigator
Revolution
Pro (for)
Losing
0 Points
The Contender
wjmelements
Con (against)
Winning
56 Points

0.0(r)1=0.0

Do you like this debate?NoYes+3
Add this debate to Google Add this debate to Delicious Add this debate to FaceBook Add this debate to Digg  
Post Voting Period
The voting period for this debate has ended.
after 10 votes the winner is...
wjmelements
Voting Style: Open Point System: 7 Point
Started: 6/14/2009 Category: Miscellaneous
Updated: 8 years ago Status: Post Voting Period
Viewed: 2,067 times Debate No: 8624
Debate Rounds (3)
Comments (22)
Votes (10)

 

Revolution

Pro

I will prove my point on a single contention.

1.If 0 repeats infinitely, 1 never occurs. Thus, 0.0(R)1=0.0
wjmelements

Con

My opponent's claim doesn't really matter, as 0.0(r)1 cannot occur.

irrational- (mathematics) containing irrational number: describes a mathematical expression that contains an irrational number http://encarta.msn.com...

An irrational number is "any real number that cannot be expressed as the exact ratio of two integers". http://encarta.msn.com...

If, as my opponent claims, 1 never occurs because 0 repeats infinitely (I concede this point), then 0.0(r)1 is irrational.
Therefore, 0.0(r)1 cannot be equal to a rational number, such as 0.
Debate Round No. 1
Revolution

Pro

This number is not irrational. Rational numbers terminate or repeat, and this one does both. It repeats for infinity, adds a one and terminates.
wjmelements

Con

Repeat:
-Ending in zero means that it does not repeat indefinitely. Therefore, it is not rational.
Terminate:
-As already conceded by my opponent, the "1" never occurs. Therefore, the number never terminates and is irrational.

The statement that "rational numbers terminate or repeat" is true. They EITHER terminate OR repeat. Trying to make a number do both makes that number irrational.

Zero, however, is rational (0 divided by 1). A rational number cannot be declared to be equal to an irrational number, so the resolution is negated.
Debate Round No. 2
Revolution

Pro

This number IS rational. As we can agree that the one never occurs, the number simply repeats. 0.0(r) repeats and is rational. As the one never occurs, 0.0(r)1=0.0(r)=0.0. Thus, the resolution is proven.
wjmelements

Con

My opponent again says that the one never occurs. However, it does; otherwise, the number would be notated as 0.0(r). Instead, it is notated as 0.0(r)1. There being the 1 makes it irrational, as it is impossible to notate that a 1 could occur.

If the 1 occurs, then the zeros do not repeat.
If the zeros do not repeat, the one occurs.

So, the number is a paradox that cannot exist. This makes it irrational, as I have shown.

Therefore, the number 0.0(r)1 is irrational and not equal to 0.0.
The resolution is negated.

I thank my opponent for this debate and urge a CON vote.
Debate Round No. 3
22 comments have been posted on this debate. Showing 1 through 10 records.
Posted by tBoonePickens 8 years ago
tBoonePickens
What a tremendous butt whipping by CON!
Posted by Revolution 8 years ago
Revolution
Actually, my opponent's "paradox" is simply a mathematical statement.
Posted by Angrypants66 8 years ago
Angrypants66
Nah I read the whole thing and Con won. Caught me by surprise to see Con win, well played sir.
Posted by Revolution 8 years ago
Revolution
It was.
Posted by wjmelements 8 years ago
wjmelements
I hope that wasn't the only reason.
Posted by mongoose 8 years ago
mongoose
I voted CON, just like to told me to!
Posted by Conor 8 years ago
Conor
Massacre.
Posted by Revolution 8 years ago
Revolution
Correction, vote PRO.
Posted by Revolution 8 years ago
Revolution
Even so, I should win the vote.
Posted by rougeagent21 8 years ago
rougeagent21
Revolution:

You basically said 0(+0) = 0. You added on a non-occurring number that added nothing to the actual number. This wasn't much of a debate.
10 votes have been placed for this debate. Showing 1 through 10 records.
Vote Placed by Angrypants66 8 years ago
Angrypants66
RevolutionwjmelementsTied
Agreed with before the debate:Vote Checkmark--0 points
Agreed with after the debate:-Vote Checkmark-0 points
Who had better conduct:-Vote Checkmark-1 point
Had better spelling and grammar:-Vote Checkmark-1 point
Made more convincing arguments:-Vote Checkmark-3 points
Used the most reliable sources:-Vote Checkmark-2 points
Total points awarded:07 
Vote Placed by mongoose 8 years ago
mongoose
RevolutionwjmelementsTied
Agreed with before the debate:Vote Checkmark--0 points
Agreed with after the debate:-Vote Checkmark-0 points
Who had better conduct:--Vote Checkmark1 point
Had better spelling and grammar:-Vote Checkmark-1 point
Made more convincing arguments:-Vote Checkmark-3 points
Used the most reliable sources:-Vote Checkmark-2 points
Total points awarded:06 
Vote Placed by tBoonePickens 8 years ago
tBoonePickens
RevolutionwjmelementsTied
Agreed with before the debate:-Vote Checkmark-0 points
Agreed with after the debate:-Vote Checkmark-0 points
Who had better conduct:-Vote Checkmark-1 point
Had better spelling and grammar:-Vote Checkmark-1 point
Made more convincing arguments:-Vote Checkmark-3 points
Used the most reliable sources:-Vote Checkmark-2 points
Total points awarded:07 
Vote Placed by Lt.Zubin 8 years ago
Lt.Zubin
RevolutionwjmelementsTied
Agreed with before the debate:--Vote Checkmark0 points
Agreed with after the debate:--Vote Checkmark0 points
Who had better conduct:--Vote Checkmark1 point
Had better spelling and grammar:--Vote Checkmark1 point
Made more convincing arguments:-Vote Checkmark-3 points
Used the most reliable sources:--Vote Checkmark2 points
Total points awarded:03 
Vote Placed by mongeese 8 years ago
mongeese
RevolutionwjmelementsTied
Agreed with before the debate:-Vote Checkmark-0 points
Agreed with after the debate:-Vote Checkmark-0 points
Who had better conduct:--Vote Checkmark1 point
Had better spelling and grammar:-Vote Checkmark-1 point
Made more convincing arguments:-Vote Checkmark-3 points
Used the most reliable sources:-Vote Checkmark-2 points
Total points awarded:06 
Vote Placed by Conor 8 years ago
Conor
RevolutionwjmelementsTied
Agreed with before the debate:-Vote Checkmark-0 points
Agreed with after the debate:-Vote Checkmark-0 points
Who had better conduct:--Vote Checkmark1 point
Had better spelling and grammar:-Vote Checkmark-1 point
Made more convincing arguments:-Vote Checkmark-3 points
Used the most reliable sources:--Vote Checkmark2 points
Total points awarded:04 
Vote Placed by sk8jeff1 8 years ago
sk8jeff1
RevolutionwjmelementsTied
Agreed with before the debate:Vote Checkmark--0 points
Agreed with after the debate:-Vote Checkmark-0 points
Who had better conduct:-Vote Checkmark-1 point
Had better spelling and grammar:--Vote Checkmark1 point
Made more convincing arguments:-Vote Checkmark-3 points
Used the most reliable sources:-Vote Checkmark-2 points
Total points awarded:06 
Vote Placed by dvhoose 8 years ago
dvhoose
RevolutionwjmelementsTied
Agreed with before the debate:Vote Checkmark--0 points
Agreed with after the debate:-Vote Checkmark-0 points
Who had better conduct:-Vote Checkmark-1 point
Had better spelling and grammar:-Vote Checkmark-1 point
Made more convincing arguments:-Vote Checkmark-3 points
Used the most reliable sources:--Vote Checkmark2 points
Total points awarded:05 
Vote Placed by rougeagent21 8 years ago
rougeagent21
RevolutionwjmelementsTied
Agreed with before the debate:-Vote Checkmark-0 points
Agreed with after the debate:-Vote Checkmark-0 points
Who had better conduct:-Vote Checkmark-1 point
Had better spelling and grammar:-Vote Checkmark-1 point
Made more convincing arguments:-Vote Checkmark-3 points
Used the most reliable sources:-Vote Checkmark-2 points
Total points awarded:07 
Vote Placed by wjmelements 8 years ago
wjmelements
RevolutionwjmelementsTied
Agreed with before the debate:-Vote Checkmark-0 points
Agreed with after the debate:-Vote Checkmark-0 points
Who had better conduct:--Vote Checkmark1 point
Had better spelling and grammar:--Vote Checkmark1 point
Made more convincing arguments:-Vote Checkmark-3 points
Used the most reliable sources:-Vote Checkmark-2 points
Total points awarded:05