Solving mathematical logic puzzles: In a list of 100 statements. The nth statement is "in this list with just n statements as false" from the above statement to draw the knot

Best Answer

Write a few and try to deduce it. As

you can see, at most 1 of these 100 statements are true. Let's say that the

1th statement is true

: "In this list, just 1 statements are false" is true, then in the 2nd to 100th statement There is just one false, the other is true.

examine the 2nd sentence "In this list, just 2 statements are false". If it is true, then the 1th sentence is contradictory, then it is false.

similarly examine the 3rd sentence "In this list, just 3 statements are false". If it is true, then it contradicts the 1th sentence, if it is false, and the 1th sentence (because the 2nd sentence is already false).

So, the 1th sentence is false. Let's say that the

2nd statement is true

: "In this list, just 2 statements are false" is true, then in the 3rd to 100th statement there is just one false, the other is true. The

reasoning process is the same, but the 2nd sentence is also false.

by the way, let's examine the last two statements. Let's say that the

99th statement is true

: "In this list, just 99 statements are false" true, the 1th to 98th sentence has been known as false, then examine the 100th sentence.

If the 100th sentence is true, then it contradicts the 99th sentence. So the 100th sentence is false.

So, the 99th statement is true, and the rest of the statements are false.