Is there a solution to this?

Hi I’ve just spent 10 mins trying to work out if there is a solution to this and
now my brain is hurting!

Does anyone know if there is a solution or is it a revolving unsolvable thingy.
The idea is to try to work out which is true and false so here goes. Maybe the answer
lies in some sort of maths equation? So here goes!

The following statement is false.
The above statement is true.

I'm surprised oncefallen didn't comment on this, lol.. I have no idea what this is, lol

I’ve even tried drawing it out on paper to see if I can figure it out.
I wonder if it was one of those where one or the other can be proven to be true!

Maybe if all else fails it can be used to settle debates in the BDF.

I’ve even tried drawing it out on paper to see if I can figure it out.
I wonder if it was one of those where one or the other can be proven to be true!

Maybe if all else fails it can be used to settle debates in the BDF.

Hi I’ve just spent 10 mins trying to work out if there is a solution to this and
now my brain is hurting!

Does anyone know if there is a solution or is it a revolving unsolvable thingy.
The idea is to try to work out which is true and false so here goes. Maybe the answer
lies in some sort of maths equation? So here goes!

The following statement is false.
The above statement is true.

Hi I’ve just spent 10 mins trying to work out if there is a solution to this and
now my brain is hurting!

Does anyone know if there is a solution or is it a revolving unsolvable thingy.
The idea is to try to work out which is true and false so here goes. Maybe the answer
lies in some sort of maths equation? So here goes!

The following statement is false.
The above statement is true.

Ok... I first heard about this in one of my college english classes. It originally comes from these two very respected professors (I think they were professors, maybe philosphers?) who were confounding the best and the brightest by touring the country's campuses and saying that but they did it like this: One professor would get up on the podium and he says "What you are about to hear is a lie." Then the second professor gets up and says "What he said was true." (I'm paraphrasing)

So anyway, it has perplexed many for years. Its from like the 18th century.

I finally get it and now my brain has just been stunned, lol

The following statement is false.
The above statement is true.

Maybe if all else fails it can be used to settle debates in the BDF.

it would be perfect for the BDF.

a type of math called 'operations research' deals with things like this, typically seeking an optimal solution to a system of that satisfies a set of 'constraints; in the form of inequality equations.

let x < 0 = 'false' and x > 0 = 'true' for any x

the statement can be written as an ordered pair, (A, B) where A is the first statement and B is the second:

(B < 0 , A > 0) = (A, B)

if B > 0, then A > 0, but if B < 0, then A < 0
since they both have the same sign their product is positive:

AB > 0

indicating both are true or both are false. we could graph the solution like this:

View attachment 187975

the green part being solutions.

but if A > 0 then B < 0 ((because A = "B < 0"))
likewise if A < 0 then B > 0, so their product is negative:

AB < 0

which has a solution graphed like this:

View attachment 187976

we're trying to solve this system of equations:
AB > 0
AB < 0
it doesn't have a solution.

*however*
if we solve the slightly less strict problem ((called a relaxation )),
AB ≥ 0
AB ≤ 0
this system has a solution set

• A = 0, B > 0
• A = 0, B < 0
• A < 0, B = 0
• A > 0, B = 0
• A = 0, B = 0

consider {A = 0, B > 0}. this means B is true. remember,
B = "the above statement is true" = {A > 0}
but this contradicts A = 0, therefore B = 0
a similar argument reduces the next three solutions, so the only viable solution is A = 0, B = 0


Q.E.D.
the two statements, they're both nothing.

Hi I’ve just spent 10 mins trying to work out if there is a solution to this and
now my brain is hurting!

Does anyone know if there is a solution or is it a revolving unsolvable thingy.
The idea is to try to work out which is true and false so here goes. Maybe the answer
lies in some sort of maths equation? So here goes!

The following statement is false.
The above statement is true.

a type of math called 'operations research' deals with things like this, typically seeking an optimal solution to a system of that satisfies a set of 'constraints; in the form of inequality equations.

let x < 0 = 'false' and x > 0 = 'true' for any x

the statement can be written as an ordered pair, (A, B) where A is the first statement and B is the second:

(B < 0 , A > 0) = (A, B)

if B > 0, then A > 0, but if B < 0, then A < 0
since they both have the same sign their product is positive:

AB > 0

indicating both are true or both are false. we could graph the solution like this:

View attachment 187975

the green part being solutions.

but if A > 0 then B < 0 ((because A = "B < 0"))
likewise if A < 0 then B > 0, so their product is negative:

AB < 0

which has a solution graphed like this:

View attachment 187976

we're trying to solve this system of equations:
AB > 0
AB < 0
it doesn't have a solution.

*however*
if we solve the slightly less strict problem ((called a relaxation )),
AB ≥ 0
AB ≤ 0
this system has a solution set

• A = 0, B > 0
• A = 0, B < 0
• A < 0, B = 0
• A > 0, B = 0
• A = 0, B = 0

consider {A = 0, B > 0}. this means B is true. remember,
B = "the above statement is true" = {A > 0}
but this contradicts A = 0, therefore B = 0
a similar argument reduces the next three solutions, so the only viable solution is A = 0, B = 0


Q.E.D.
the two statements, they're both nothing.

Ok, so after minutes of calculation and thinking i got it. let's put it like this.
Statement 1- What you're about to hear is a lie.
Statement 2- what he said was true.

Meaning statement 2 is a lie and should be arranged as "what he said was a lie" which will result in statement 1 being a lie and should be arranged as "what your'e about to hear is true". The impact of this will lead to the statements being this:
statement 1-What you're about to hear is true
Statement 2- What he said was a lie.

The new arrangement will result in the first solution being invalid and will have to be written in the opposite and that will lead to the first set of statements.

Conclusion: The solution will keep on ending as the first and second, a continuous cycle which means that both statements can either be both true or one false and one true.

Wow, talk bout mentally challenging, this is the solution in my opinion

a type of math called 'operations research' deals with things like this, typically seeking an optimal solution to a system of that satisfies a set of 'constraints; in the form of inequality equations.

let x < 0 = 'false' and x > 0 = 'true' for any x

the statement can be written as an ordered pair, (A, B) where A is the first statement and B is the second:

(B < 0 , A > 0) = (A, B)

if B > 0, then A > 0, but if B < 0, then A < 0
since they both have the same sign their product is positive:

AB > 0

indicating both are true or both are false. we could graph the solution like this:

View attachment 187975

the green part being solutions.

but if A > 0 then B < 0 ((because A = "B < 0"))
likewise if A < 0 then B > 0, so their product is negative:

AB < 0

which has a solution graphed like this:

View attachment 187976

we're trying to solve this system of equations:
AB > 0
AB < 0
it doesn't have a solution.

*however*
if we solve the slightly less strict problem ((called a relaxation )),
AB ≥ 0
AB ≤ 0
this system has a solution set

• A = 0, B > 0
• A = 0, B < 0
• A < 0, B = 0
• A > 0, B = 0
• A = 0, B = 0

consider {A = 0, B > 0}. this means B is true. remember,
B = "the above statement is true" = {A > 0}
but this contradicts A = 0, therefore B = 0
a similar argument reduces the next three solutions, so the only viable solution is A = 0, B = 0


Q.E.D.
the two statements, they're both nothing.

I am very impressed!! I think I saw you mention once that you're a mathmetician? Anyway, that's a lot like what's posted on the wiki page about this, so that's why I was impressed, but I know that you came up with all that yourself because I remember you posting complex math stuff before.

Apparently this paradox has been around since 600 BC

https://en.wikipedia.org/wiki/Liar_paradox

I don’t even have a brain to hurt now after reading all that. Lol