- #1

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2. The previous statement is false.

3. If the first statement is true, then the second statement is false.

4. Is the third statement true or false?

Answer to be published in the future

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- Thread starter tsberry901
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- #1

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2. The previous statement is false.

3. If the first statement is true, then the second statement is false.

4. Is the third statement true or false?

Answer to be published in the future

- #2

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it's false

- #3

Galileo

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It's true...

- #4

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What about: If the first statement is false, then the second statement is true.

- #5

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The answer to the original question is 'no'.

- #6

Galileo

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The first statement cannot be true, therefore the third one is true.

- #7

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my paradox detector went off, so I assume this is one.

- #8

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I think it's true...

- #9

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tsberry901 said:

2. The previous statement is false.

3. If the first statement is true, then the second statement is false.

4. Is the third statement true or false?

Answer to be published in the future

The third statement is "If the first statement...". It has no conditions on it so its true in that sense.

- #10

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1. The following statement is true:

2. The previous statement is false.

3. If the first statement is true, then the second statement is false.

4. Is the third statement true or false?

I'd say it's false. If the first statement is true, then so is the second - that's the whole first statement. If the seconds statement wasn't reveiled then this would be a no brainer. With the second statement as it stands, the first and second are paradoxal and neither true nor false (0.5 if one is allowed to be fuzzy) but this doesn't really affect the third statement, if the first statement is true then the second is too and the third states the opposite.

What about: If the first statement is false, then the second statement is true.

Also false, if the first statement is false, then the second is false. Again, neither of them actually is due to the paradox, but if it were false (which it isn't) then the second would be as well by it's definition.

- #11

AKG

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On the other hand, if you ignore the paradox, then you can basically say that either both of the first two sentences are true, both are false, only the first is true, or only the second is true. In all four of these cases, you will be able to deduce the third sentence. If we call sentence one A and sentence two B, then we have:

A --> B

B --> ~A

and we want to say whether the following is true or false:

A --> ~B

If A is false, then A implies anything, so A --> ~B. If A is true, then if B is also true, we have A --> B and B --> ~A, so we get both A and ~A, a contradiction. Seeing as how we have a contradiction, we can derive anything, in particular, we can derive A --> ~B. Finally, if A is true and B is false, then we naturally have A --> ~B.

- #12

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these statements dont correlate with each other......

if u try working them out u'll find that if the first is true, then second is true, thus first is false, but we assumed that first is true.

if first is assumed to be false then second is false, thus first is true, but is assumed to be false.

so, any ways we take it, the third statement does not satisfy the conditions of either being true or false.........

- #13

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B=A

A=1-B

Is B=1-A?

In the classic liar paradox, both statements are 50% true (as can clearly be seen, nothing else would satisfy it and it can be trivially solved, B=1-B => 2B=1 => B=1/2) should partially true statements be allowed. Thus, A=1-B is 100% true.

I realize that this was probably intended to be a classic rather then fuzzy problem, but I'll mention it anyway as an interesting sidebar.

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I think it's false........i think.........i think...... i think................

- #15

jammieg

Interesting puzzle, but it would be very kind to define "true" and "false" and "following" without a clear defintion anything is possible within ambiguity.

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It is true

- #17

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It's a fun time to think about this paradox, though.......

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1- The following statement is true

2 - The previous statement is false

3- If the first statement is true, then the second statement is false

If clause failure; The first statement is not True, thus the second part of the statement is irrelevant. -Requirements not met-

4- Is the third statement true or false?

Corrupted Line; 3 :

The statement doesn't support the first statement as False, IF clause fails to answer anything And Line 4 asks something unknown..

ERROR##

2 - The previous statement is false

3- If the first statement is true, then the second statement is false

If clause failure; The first statement is not True, thus the second part of the statement is irrelevant. -Requirements not met-

4- Is the third statement true or false?

Corrupted Line; 3 :

The statement doesn't support the first statement as False, IF clause fails to answer anything And Line 4 asks something unknown..

ERROR##

Last edited:

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- #20

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So here goes the dialogue: the first person says," The second one is telling the truth." Then, the second person says, " The first one is lying!" With these statements, we are sure that one of them is lying, and one is telling the truth because they are contradicting with each other.

And since we have a conditional statement that if the first person is telling the truth, then we can conclude that the second one is lying.

Going back to the problem, so I would say that statement 3 is

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- #22

xJuggleboy

tsberry901 said:

2. The previous statement is false.

3. If the first statement is true, then the second statement is false.

4. Is the third statement true or false?

Answer to be published in the future

3 is a simple If Then statement.

If the first statment is true (wich it may or not be) and the seccond statement contridicts the first (wich it does), then the third statement must be true.

Last edited by a moderator:

- #23

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Galileo said:The first statement cannot be true, therefore the third one is true.

- #24

closure

My answer is "true"

- #25

AKG

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