The Truth Lies In The Other Card

Logic Level 1

On one side of the card it is written that
" The statement on the other side of this card is true "

And on the other side it is written that
" The statement on the other side of this card is false "

Which statements is/are true?

First statement is true Second side statement is true Both the statements are true This is an impossible scenario

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Krishna Kanth Dasari by Krishna Kanth Dasari , 29, India

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15 solutions

Jonathan Moore
Mar 20, 2016

This is a paradox, because the truth of one card changes the truth of the other, meaning they cannot be simultaneously resolved.

36 Helpful 6 Interesting 8 Brilliant 3 Confused

There are two cards, I guess. Look at the grabbing style.

Himel Nrg - 5 years ago

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Grabbing style is consistent witth flipping the same card :)

Raluca Popan - 2 years, 1 month ago

I think that it is something like liars paradox, when both sentences are true.

Jacek Karny - 4 years, 11 months ago

It is a circle paradox

Tianyu Liang - 1 year, 2 months ago

A paradox is a statement that contradicts itself or a situation which seems to defy logic. That's a simple definition of paradox. This above scenario is a paradox. This particular paradox is called " DOUBLE LIAR PARADOX " Or " JOURDAIN'S PARADOX " You can check this up in internet. And for the last time please dont change my problems without checking at-least once in internet.

9 Helpful 1 Interesting 2 Brilliant 0 Confused
Allen Yuan
Aug 24, 2016

The T/F state of a statement must match what is being pointed towards it to be a valid scenario.

First case: T points a T towards and F therefore thats not it.

Second case: T points an F to an F which points an F to the T so thats not it.

3rd case: The 2 statements are contradictory therefore at least 1 must be wrong.

If they are both false you have an F (2nd statement) pointed a T towards an F which is wrong.

Therefore the scenario is impossible.

Sorry if my solution isn't well written, I'm new to the site! Just wondering if there are more efficient ways of solving this problem than I did.

3 Helpful 0 Interesting 0 Brilliant 0 Confused

That's because a statement that is true and false is always false while a statement that is true or false is always true.😊😊😊😊😊

Xylene resha terminio - 3 years, 10 months ago
Colin Pitrat
Sep 17, 2018

This is not an impossible scenario. I can totally print a card with these statements on each side. The solution should rather read 'No true/false value can be given to each statement.'

1 Helpful 0 Interesting 1 Brilliant 0 Confused
A A
Mar 23, 2016

I don't find it to be a paradox , it is rather just a contradiction therefore being impossible to speak of the value of truth of any of these propositions being made in rather an irrational way.

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Mxjd Ultimate
Jun 4, 2021

This is a paradox. A paradox is a self-contradictory statement that is investigated. Here we see that "The statement on the other side of this card is true" and the other side says, "The statement on the other side of this card is false." You would have to turn it over and over again until they find out they are stuck in an endless loop. So its impossible to determine which is true and which is false.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

T H I S I S P A R A D O X

therefore its impossible to determine

0 Helpful 0 Interesting 0 Brilliant 0 Confused

The front said the back is telling the truth. If the front is telling the truth, then the back would be telling the truth, which said the front is lying which would make no sense so the answer is o p t i o n option 4

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Ken Falken
Jan 24, 2021

But I don't understand, people can just write it, they don't care if it's true or not you know

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Tariq Al-Bayer
Jul 12, 2020

Because both statements contradict each other, it is an impossible answer.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Both cannot be true, because the second statement would be true, and according to it, the first statement is not true. My brain hurts. XD

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Cc 6871
Apr 30, 2018

Both contradict each other, changing the truth as each side is read.

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Ruth Baram
Apr 25, 2018

as soon as i saw this i thout knew that it was a paradox & i new what it was called: grandfather paradox!

0 Helpful 0 Interesting 0 Brilliant 0 Confused

A paradox is a statement that contradicts itself or a situation which seems to defy logic. That's a simple definition of paradox. This above scenario is a paradox. This particular paradox is called "DOUBLE LIAR PARADOX" Or "JOURDAIN'S PARADOX" You can check this up in internet. And for the last time please dont change my problems without checking at-least once in internet.

0 Helpful 0 Interesting 0 Brilliant 1 Confused
Aarush Kumbhakern
Mar 25, 2016

It is not a paradox. a paradox goes on forever, this just contradicts both statements and is a contradiction

0 Helpful 0 Interesting 0 Brilliant 1 Confused

Paradox is not something goes on for ever, it is a situation that does not have any logical out come or something that contradicts itself.

Think first statement is true this implies that the second statement is true, but the second statement says the first statement is false, We have started with first statement to be true but ended up with false, so this is not possible.

Think first statement is false in this case the statement two is also false but second statement says that statement one is false, so statement one will be true. We have started with first statement to be false but ended up with first statement to be true.

You see this does not have a logical answer like @Jonathan Moore said...

Krishna Kanth Dasari - 5 years, 2 months ago

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