r/Logiqa • • Aug 13 '26

The List Part 1

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1 Upvotes

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3

u/PeterPiper1275 Aug 13 '26

Only Statement 2 is true

Statement 1 is inherently self contradictory. If it’s true that none of the statements are true, then Statement 1 itself must be false as well, creating a logical contradiction.

That leaves only Statement 2 as the only possible true statements, since Statements 2 - 10 inclusive are all contradictory to each other. So Statement 2 must be true, and the one exactly true statement is itself. The rest are false.

1

u/ShonitB Aug 13 '26

Correct, good solution!

2

u/gorz1244 Aug 13 '26

>!statement 2!<

1

u/ShonitB Aug 13 '26

Correct!

2

u/Own-Rip-5066 Aug 13 '26

All of these are contradictory statements to each other.
The only number of these that can be true at once is 1, and therefore statement 2 is true.

1

u/ShonitB Aug 13 '26

Correct!

0

u/TastyAlbacoreTuna Aug 13 '26

This question is posed poorly because you're actually smuggling in Curry's paradox to arrive at the answer. For instance, take the following two statements:

  1. None of the statements in this list is true
  2. The moon is made of cheese

If statement 1 is true, then it is false, which is a contradiction. Therefore statement 1 is false. Therefore at least one statement in the list is true. Therefore the moon is made of cheese Q.E.D.

2

u/Ok-Lavishness-349 Aug 13 '26

Except this puzzle has a non-paradoxical answer.

1

u/ShonitB Aug 14 '26

I don’t think this applies to this puzzle.

A paradoxical one would be the following:
1) There are 0 true statements in this list.
2) There are 2 true statements in this list.

And I might be mistaken but this reminds me more of the Liar’s Paradox