please help me prove "I cannot prove this statement to be true'.?

Question

I have been trying to tackle this problem for quite a while. Just see if you guys and gals can help me through this.

Answer 1

I am assuming that "I" refers to the sentence; that is, the sentence is talking about itself. If it means you personally, there is no way to prove that, no matter how much I can get to know you. Humans are the biggest mystery.

Call your sentence G. If "I" refers to the sentence, this is a proof:

Suppose G is false.
Then it says of itself that it can be proved.
So G can be proved.
Therefore, G is true. Contradiction.
This contradiction shows that G is true.

That constitutes the proof. However, look at what G says. It says it can't be proved. Therefore, since G is true, G cannot be proved. So what was I just doing?

There are two things wrong with your sentence. It talks about itself, and it is not a sentence in any formal theory. If this sentence talks about sentences in number theory, then a mathematician named Kurt Gödel fixed up both those problems and actually proved that in any mathematical theory that contains number theory, there are statements that cannot be proved in that theory. The statement Gödel came up with that can't be proved in number theory was (in number theory language) "I cannot be proved in number theory."

So you can't prove your statement, and with suitable modification, your statement shows that you can't prove everything in mathematics either.

Answer 2

how are you able to assert "which all of us comprehend is authentic," i don't evaluate this a real assertion so what you state is then fake. Somethings won't be able to be completely proved. Can in simple terms be an thought yet some may well be proved. such because of the fact the atomic residences of count. What components they are produced from. So technology may well be proved incorrect faster or later yet additionally might have many truths which will continuously be authentic. At one time some issues are technology fiction till we get the certainty to lead them to technology data. do you get the place i pass with this? arewethere yet? some might neved be proved via technology yet then back many stuff are.

Answer 3

This is an english sentence. The mathematical equivalent is what Kurt Godel showed in 1935 (I think).

It showed that you cannot always prove true statements in mathematics, provided your initial axioms are consistent. You will always have an unprovable truth.

The statement under discussion is true. It just can't be proved.

Answer 4

Assume you could prove that the statement is true.

Then, if you could prove the statement to be true, then the statement itself would be false.

That's a contradiction, so your assumption was incorrect.

So the original assumption was false, and you cannot prove that the statement is true.

I thought it was a paradox, but I guess it isn't.

Answer 5

Statement: a sequence of some number n, where n is an integer between 0 and 10, of length x is encoded in the digits of pi, but not x+1.
Proof: easy.

i hope i helped....

Answer 6

I think it could be true but you have to decide if Bush was alive. Then if he was the rock slide in The Philippines was his fault but the accident on the Highway in Australia was not.

Answer 7

That's because it isn't. Neither is it false. It's a self-referential paradox ☺


Doug

Answer 8

So, what is your statement and problem?

Answer 9

u just did

Answer 10

i am confused