# Mathematics ends in contradiction - an integer = a non-integer

#### bas

Hi. You might find this paper interesting and controversial. It proves

1) Mathematics/science end in contradiction - an integer = a non-integer. When mathematics/science end in contradiction, it is proven in logic that you can prove anything you want in mathematics, i.e. you can prove Fermat's last theorem and you can disprove Fermat's last theorem.

The paper proves

1 is a finite number it stops
A finite decimal is one that stops, like 0.157
A non-finite decimal like 0.999... does not stop
when a finite number 1 = a non-finite number 0.999..., maths ends in contradiction.

Another way

1 is an integer a whole number
0.888... is a non-integer it is not a whole number
0.999... is a non-integer not a whole number
when an integer 1 = a non-integer 0.999..., maths ends in contradiction.

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#### v8archie

Math Team
I reckon I'll find that the author doesn't understand real numbers, decimal notation, and more specifically limits.

Edit: I was wrong. The author is just messing around with language without demonstrating any understanding of mathematics at all.

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#### topsquark

Math Team
You know, I'm pretty amazed that someone not in the field has even heard of Brans-Dicke theory, but the rest of it? I am struck speachless. And that doesn't happen often.

@bas: Are you subscribing to this point of view? That paper proves nothing.

-Dan

#### SDK

Cocaine is a helluva drug.

#### idontknow

I don't know what your point is, but
Infinity is a concept of continuity, not a number or value.

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#### [email protected]

I don't know what your point is, but
Infinity is a concept of continuity, not a number or value.
There are things like transfinite numbers you know. Surreal numbers. Hyperreal numbers. I can't stand it if people say infinity is not a number of a value. It is. Just not a real number.

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2 people

#### JeffM1

There are things like transfinite numbers you know. Surreal numbers. Hyperreal numbers. I can't stand it if people say infinity is not a number of a value. It is. Just not a real number.
According to a number of posters here, there is no such thing as a transfinite number. Cantor did not exist, and zylo has a proof.

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#### idontknow

I don't know what your point is, but
Infinity is a concept of continuity, not a number or value.
The reason I posted it, is to know one example:
$$\displaystyle \infty -1=\infty \; \;$$
If we leave -1 alone then $$\displaystyle -1=\infty - \infty$$ which is not true.
So we can't take it as a number.

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#### greg1313

Forum Staff
Not using the standard field axioms but that doesn't mean infinity isn't a number in other systems.