A simple inference

Logic Level 1

Consider the following three statements:
1) Statement 2 is false.
2) Statement 3 is false.
3) Statement 1 is true.

Which of the following is consistent with the given statements?

1 true, #2 true, #3 false

All three statements are true

1 false, #2 false, #3 true

1 true, #2 false, #3 true

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Denton Young by Denton Young , 47, USA

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2 solutions

Denton Young
Jun 4, 2015

1 and 2 have to have opposite truth values. If 2 is true, then 3 is false, which makes 1 false. And if 2 is false, then 3 is true, so 1 is true.

4 Helpful 0 Interesting 0 Brilliant 0 Confused
Gem Rose
Jun 9, 2015

If statement 2 is false, that means statement 3 is true. Which means 1 is true which supports that 2 is false.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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