Holes in mathematics

This is for people to explore/explain the many holes in the mathematical system. (one of my favorite topics )

1. 0.9999 repeating...my personal favorite, a repeating decimal that cannot be expressed as a fraction. my 8th grade math teacher, when asked said that it was so close to 1 that it just was 1..bs >_<

2. 0 = X divide either side by X and you get 0 = 1

also, i'd have to get the exact equation from him, but my friend found an equation that starts out logical and ends in all numbers being equal lol

 

0 cannot be divided by anything, because it is nothing. Try taking no apples and giving them to your friends.

Just because a number can't be a fraction, doesn't mean there is a loop in mathematics. And it is possible: 0.9999999.../1.
Also some people consider 0.9999... as 1 because it is so close to it. This doesn't mean it is 1.

and in your last sentance, I think you mean the numbers on both sides are illogical, and then end up the same. If something is logical, then is the same on both sides, it's still logical.

 

true unless X = 0, which it does.

>_> mindfuck

 

I don't really understand #2. 0 = X is the same as X = 0 meaning X is equal to 0 not 1.

 

You cannot divide by zero.

 

Yeh I've seen that as well. Can't explain it though...
This is different to the thread owners one though.

 

Owned.

 

The amount of fractions contained between two integers is infinite. Simply because the denominator contains an integer.

 

Or, you could just express it as a fraction.

.111111111 = 1/9
.222222222 = 2/9
.999999999 = 9/9 = 1

Tada!

nothing special about either equations, dividing by 0 (when X = 0 ) will give you a no solution answer. Multiplying by X on both sides may give you extraneous answers, as in the 1 = 2 proof.

 

Yeh I understand it, but it doesn't make sense that it makes sense
It's cool. Most of the other ones people show us are ones where you devide by 0 or 0 devide by X.

 

He used a mathematical fallacy. Dividing by 0 is the most common one, multiplying X on both sides is the other.

 

u got it rong in ure first bit...0 can be divided, thats why it works when u put it in a calculator...and i didnt say x = 1 (other people)
i said x/x is 1...even if u wanna change it u can make x =2, so that x - 2 = 0 and divide either side by the phrase x-2 and still get 1=0, and tbh u rlly can divide variablees, in any case you get conflicting rules of math, because x/x = 1 but x/0= undefined, so if x=0 then in essence u come out with 1 = undefined >_<

and as for ur explanation of 9 repeating, every other rational number can be expressed as a faction with no decimal....if you put pi over 1, does that make it rational? not exactly.

and a lot of u are making equations to make 0.9999... equal 1, but that doesnt make any sense in it's own right, being 0.999... < 1

and my friend's proof starts with variables and ends with 1=2, which can be continued just by adding/multiplying etc. either side

 

.111111111 = 1/9
.222222222 = 2/9
.999999999 = 9/9 = 1

YOU CAN EXPRESS IT AS A FRACTION IF YOU USE YOUR HEAD A BIT>>>

 

my head hurts.

our math system is okay i mean we don't need it to be perfect as long as 2 + 2 = 4.

 

...too much math. My brain hurts.

 

Well, here's a good list for mind boggling

http://en.wikipedia.org/wiki/Invalid_proof

 

I almost linked that

Decided not to, since I don't really like this thread.

It doesn't really give any insight or question anything.

 

What Sythe said a few posts up.

...

Because X = 0, dividing by X is dividing by zero. You cannot divide by zero, therefore, you cannot divide by X because X = 0. Fail.

If it's that 1 = 2 thing, that's a fallacy as well - it has a divide by zero error somewhere in the chain of steps.