Is there a solution to this?

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M

Miri

Guest
#1
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.
 

becc

Senior Member
Mar 4, 2018
6,534
2,955
113
21
#2
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
 
M

Miri

Guest
#3
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.

:eek:
 
7

7seasrekeyed

Guest
#4
sounds like a kit to help insomniacs fall asleep o_O

the egg chicken debate in a new format
 

becc

Senior Member
Mar 4, 2018
6,534
2,955
113
21
#5
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.

:eek:
It would surely confuse them, lol
 

tourist

Senior Member
Mar 13, 2014
42,595
17,062
113
69
Tennessee
#6
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.

:eek:
it would be perfect for the BDF. :)
 

cinder

Senior Member
Mar 26, 2014
4,433
2,418
113
#7
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.
My solution is going to be to reposition the statments like so:

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

I think that's the only solution to that one, but I do know if you ever only get one question to two people, one that always lies and one that always tells the truth, then you should ask what the other guy will say and know that the answer is a lie.
 
Aug 2, 2009
24,646
4,305
113
#8
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.
 

becc

Senior Member
Mar 4, 2018
6,534
2,955
113
21
#10
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
 

becc

Senior Member
Mar 4, 2018
6,534
2,955
113
21
#11
I finally get it and now my brain has just been stunned, lol
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
 

posthuman

Senior Member
Jul 31, 2013
37,844
13,558
113
#12
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:


Untitled drawing.jpg

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:

Untitled drawing (1).jpg

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.








"meaningless, a chasing after the wind"

;D
 

posthuman

Senior Member
Jul 31, 2013
37,844
13,558
113
#13
Maybe if all else fails it can be used to settle debates in the BDF.

:eek:
it would be perfect for the BDF. :)
it's the question, "what's the solution to two people contradicting each other?"
and i think i proved it's meaningless ((check the math?))

Much dreaming and many words are meaningless. Therefore fear God.
(Ecclesiastes 5:7)
 
7

7seasrekeyed

Guest
#14
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.








"meaningless, a chasing after the wind"

;D



..................I was just gonna say that...
 

G00WZ

Senior Member
May 16, 2014
1,318
453
83
38
#15
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.

My solution to both statements would be "agreed". There is no individual answer or an outcome, just a loop.
 
Aug 2, 2009
24,646
4,305
113
#16
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.








"meaningless, a chasing after the wind"

;D
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 :eek:

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

Miri

Guest
#17
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

My brain hurts even more now. But yeah I got something along the same lines.
Ps did it help you go to sleep!
 
M

Miri

Guest
#18
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.








"meaningless, a chasing after the wind"

;D

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

Miri

Guest
#19
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 :eek:

https://en.wikipedia.org/wiki/Liar_paradox
Maybe it was the original sin.
You eat the apple and die
The above statement is false lol
 

becc

Senior Member
Mar 4, 2018
6,534
2,955
113
21
#20
I don’t even have a brain to hurt now after reading all that. Lol
Same here.. I didn't even bother to read it when i saw the graph and >=0 nonsense, lol... I just left math, i don't want that back ,lol