What is this?

Okay, the question is simple, but I don't know the answer.

"The statement that this sentence is a paradox is a paradox."

What is this? True? False? Paradox? Or something else?

#Logic

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
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Comments

First divide the statement in two parts:

Statement 1"Statement 2 is a paradox"

Statement 2"statement1 is a paradox"

now a paradox is something that is neither true nor false

But if you take statement 2 as true it will led to contradiction

But if you take statement 2 as false there will be no contradiction

So obviously statement 2 is false this means that statement 1 is also false. So answer to your question is false

Sahar Bano - 1 year ago

I'm sorry I can't help you, but I just wanted to say. Logic is very confusing, even the simplest questions can have great power. Just reading this question makes me confused...Well, that makes two of us.

William Huang - 3 years, 10 months ago

Yeah...

Boi (보이) - 3 years, 10 months ago

Apparantly, there are 2 contradictory definitions of 'paradox' (as if it wasn't complicated enough) 1.a seemingly absurd or contradictory statement or proposition which when investigated may prove to be well founded or true. 2.a statement or proposition which, despite sound (or apparently sound) reasoning from acceptable premises, leads to a conclusion that seems logically unacceptable or self-contradictory. I think the famous paradoxes all come under definition 2.

'Paradox' is usually used to describe a sentence/belief/theory that leads to a contradiction, but in these the word itself is not used eg the liar's paradox 'everything I say is false' or Russell's paradox which is generally stated as the "set of all sets that do not contain themselves" would be impossible, as if it existed, it would have to include itself, therefore its definition is contradictory.

So I wonder if your sentence is more in the realms of linguistic philosophy (the mere thought of which sends me running to hide under the duvet till it's safe to come out) rather than maths-facing logic.

Katherine barker - 3 years, 9 months ago

I think it's a tough question. I ask my friends this question and a part says true,the other ones no.

Marcel Probst - 3 years, 8 months ago

I would say it isn't a paradox because it's referred to the statement. Also something can't be a paradox when you call it like that.

Marie Abendroth - 3 years, 8 months ago

Going back to linguistic philosophy - just because a sentence follows rules of grammar, and each word in it has a definite meaning, that doesn't mean that the sentence itself has any meaning whatsoever. I venture up from beneath the duvet to quote Chomsky's 'Colourless green ideas sleep furiously'. Perhaps this sentence is neither true nor false, but simply linguistic nonsense.

Katherine barker - 3 years, 8 months ago

True

Ram Mohith - 3 years, 2 months ago

i don't thing this can be true or false or anything else, when you ask "what is this?" i can assume is just a sentence, with a "true fact" meaning, but that doesn't mean it must be a paradox, that just mean that for the person who said it, believe it is a paradox, therefore, i can trust him and said he is right or i can deny it, and try to prove it wrong,.. or u can ignore the call and go home lol after all in this case doesn't look like there must be a correct answer

Renzo Riscica - 2 years, 10 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$