The Instigator
VenomousNinja
Pro (for)
Losing
3 Points
The Contender
skizzils
Con (against)
Winning
18 Points

The Digit "1" is in the Neither Category in Relation to Prime and Composite Numbers

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Voting Style: Open Point System: 7 Point
Started: 2/11/2008 Category: Education
Updated: 9 years ago Status: Voting Period
Viewed: 1,029 times Debate No: 2560
Debate Rounds (3)
Comments (2)
Votes (7)

 

VenomousNinja

Pro

OKay, this debate stemmed off a mini-debate that we had in math class. We were discussing prime and composite numbers, and my teacher told us that zero was special and was neither, and so the class argued for five minutes about whether one was in the neither category or the prime category.

We never reached a conclusion.

Anyway, I'll start my debate.

One is in the neither category of numbers instead of the prime category simply because to be a prime number the number in question must be divisible by one and itself only.

Well one's only divisible by one number, one. And, to back up that argument, I will point out that "and" means 'in addition to'.

Prove me wrong.
skizzils

Con

You say that one is in the category of neither prime nor composite. I believe it is prime. The number 1 is divisible by one and itself. Although itself and one are the same thing, the number IS in fact divisible by both, and therefore fits the requirments you have stated.

prime number-a positive integer that is not divisible without remainder by any integer except itself and 1.

The number 1 is divisible by itself. It is also divisible by one. Therefore, I believe it is a prime number.
Debate Round No. 1
VenomousNinja

Pro

"the number IS in fact divisible by both"

But both of the numbers are the same thing, therefore "they" are one, and as such "they" are not both and cannot be both, for "they" will always be one.

"and therefore fits the requirments you have stated."

But, in fact, it doesn't, for both of the numbers you have stated are the same thing, and are therefore one number in truth.

http://dictionary.reference.com... - "2. added to; plus: 2 and 2 are 4. "

This can simply be restated as "in addition to"

To have something "in additon to" another, those two things must be different.
skizzils

Con

skizzils forfeited this round.
Debate Round No. 2
VenomousNinja

Pro

Okay, since me opponent failed to respond within the time allotted, I shall restate my position upon the subject.

The number one is in the neither category in relation to prime and composite numbers. The reason being is simple: One is only one number, and therefore the statement "One and one" is invalid in cases relating to the same thing and number.

Prove me wrong.
skizzils

Con

"But both of the numbers are the same thing, therefore "they" are one, and as such "they" are not both and cannot be both, for "they" will always be one."

The number one is divisible by both one and itself. No matter whether or not the number one is noted as both or as one, it is in fact divisible by both, no matter if 'both' is the same number.

In the definition of and that you supplied, it says 'in addition to, also, etc'. The number one is divisible by itself, and also the number one.

The number one is divisible by both itself and the number one. Although both are the same, this does not qualify it to be placed in neither group.
Debate Round No. 3
2 comments have been posted on this debate. Showing 1 through 2 records.
Posted by VenomousNinja 9 years ago
VenomousNinja
Heh heh, that is not for me to decide, but for the voters to decide...

Just make sure you respond this time, though.
Posted by skizzils 9 years ago
skizzils
I very much apologize that I had not responded. I will make sure to respond this time. Please forgive me for my mistake.
7 votes have been placed for this debate. Showing 1 through 7 records.
Vote Placed by slammin 8 years ago
slammin
VenomousNinjaskizzilsTied
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Vote Placed by bluemooncowza 9 years ago
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Vote Placed by SportsGuru 9 years ago
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Vote Placed by polka-dots323 9 years ago
polka-dots323
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Vote Placed by EricW1001 9 years ago
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Vote Placed by Morty 9 years ago
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Vote Placed by skizzils 9 years ago
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