[Guest]

Why is 1+1=2 an axiom? In other words prove that 1+1 does not equal 2

[Guest]

Thank you very much. That was quite informative.

No problem.

[phaze]

In algebra

ab = ac

can be simplified to

b=c

1 * 0 = 0

2 * 0 = 0

so

1 * 0 = 2 * 0

which can be simplified to

1 = 2 ??????

therefore we can rewrite the equation

1 + 1 = 2

as

1 + 2 = 1

and fundamentally change the structure of the universe (Muhahahahaha)

[Guest]

Actually, 1 = 0.999... is true.

Also, 0.999... + 0.999... = 1.999... = 2

How can 1 = 0.999... be true , considering no matter how you finish it

(and I realize you're not)

there must be a value e

where .999.... + e = 1

math was a long time ago...

steve

[Guest]

How can 1 = 0.999... be true , considering no matter how you finish it

(and I realize you're not)

there must be a value e

where .999.... + e = 1

math was a long time ago...

steve

He is talking about an infinite number of 9's.

If there are an infinite number of 9's then

it is true that 0.999.... = 1

Here is why:

Let's first not do an infinite number of 9's but rather n of them. Let X(n) be this number, so

X(1) = .9

X(2) = 0.99

X(3) = 0.999

X(4) = 0.9999

You get the idea.

It is not hard to verify that X(n) has the expression:

X(n) = 1-10^(-n)

Taking the limit of this expression as n goes to infinity makes 10^(-n) go to zero.

Lim as n-> infinity X(n) = 1 - 0 = 1

You might find it unbelievable to think about an infinite number of 9's in 0.9999...

but think about this:

why don't you find it unbelievable to think about an infinite number of 0's in 1.0000.....

Whenever you talk about the number 1 you are actually talking about a 1 with an infinite number of 0's in the decimal place.

It is just as much of a stretch --- infinite digits I mean.

Your argument could be turned to say no matter how many 0's you have, there will exist an e such that

1.0000... - e = 1

One would never argue this, but it is as valid of an argument as the infinite number of 9's.

Perhaps that will convince you to believe that 0.999... is actually 1.

[Guest]

How can 1 = 0.999... be true , considering no matter how you finish it

(and I realize you're not)

there must be a value e

where .999.... + e = 1

math was a long time ago...

steve

What is the value of e in .999...+e=1?

Is it e=.000...1? If so, isn't that just 0 meaning .999...=1?

If not, and you think that e>0, then please tell me how to write the number that is equal to 1-e/2. If e is greater than 0 then you must agree that 1>(1-e/2)>.999... So how does one write 1-e/2?

If you can't figure it out, the reason why is because e is actually 0 in this case. .999...=1.

[Guest]

a pair of pants + a pair of pants = a pair of pants