Solution for ›Statements‹

Again the statements:

1. The statements 3, 4 and 7 are false.
2. The statements 1 and 7 are true.
3. The statements 2, 4 and 6 are false.
4. The statements 2 and 8 are false.
5. The statements 6 and 8 are true.
6. The statements 1, 2 and 3 are false.
7. The statements 5 and 8 are false.
8. The statements 3 and 7 are true.

I will shorten true and false to T and F. For example 7F means that statement 7 is false.

Assuming 8T, then 7T and 8W which contradicts the assumtion. So 8F and 5F. If 2T, then 7T and 1T. But then 7F which doesn’t work. So 2F. The rest follows directly: 4T, 7T, 1F, 3F and 6T.

Only statements 4, 6, and 7 are true.