Eight buttons are arranged in a single column. From the top they read
1. Statements on pressed buttons are false; statements on unpressed buttons are true.
2. Exactly one button adjacent to this one is pressed.
3. No two adjacent buttons are pressed.
4. The sum of pressed buttons is not prime.
5. More than half the buttons are pressed.
6. The order of button numbers is reversed (but not the statements).
7. Less than two odd buttons are pressed.
8. The number of pressed buttons is odd.
Which button numbers do you press?
The hell it is a simple puzzle. I still can't solve it as of now. Been trying for an hour and counting. Whoever can solve it, tell me. Guys I'll kill, girls I'll marry.
For believe me! — the secret for harvesting from existence the greatest fruitfulness and the greatest enjoyment is: to live dangerously! Build your cities on the slopes of Vesuvius! Send your ships into uncharted seas! Live at war with your peers and yourselves! Be robbers and conquerors as long as you cannot be rulers and possessors, you seekers of knowledge! — Nietzsche, The Gay Science
10 comments:
woot i solved it! After 14hrs! those interested in it, can ask me for the answer.
is the answer:
1,2,4,5,8?
lishx
Nice try. But button 1 cannot be pressed, or it will lead to a contradiction.
If button 1 is pressed, then according to the statement 1, the statement itself will be false. But if the statement itself is false, then statements on pressed buttons have to be true. But if statements on pressed button are true, then statements on pressed buttons are false...
If we start with assuming that statement 1 is false, then if button 1 is pressed, statements on pressed buttons will be true. Hence statement 1 which is on a pressed button will be true. But if statement 1 is true... then statement 1 is false.
Right? It seems to me that way, not really sure though.
Hmm, is your first statement the problem? For clearly you don't mean indicatively that if button 1 is pressed, then according to the statement 1, the statement itself is false. So there isn't a genuine contradiction.
l.
I don't mean "Nice try"! Literally, I mean the third statement.
I refer to the third statement, damn this bloody need for clarity!
I don't understand what you mean by "indicatively". What I mean is, Statement 1 either is true or false. Let us suppose the case that Statement 1 is false (which is what a normal interpretation would give; since statements on pressed buttons are false).
If Statement 1 is false, then statements on pressed buttons have to be true. Button 1 is pressed, therefore Statement 1 is true. Now we have a contradiction: if Statement 1 is false, then Statement 1 is true.
If Statement 1 is true, however, then statements on pressed buttons are false. Button 1 is pressed, therefore Statement 1 is false. Again, a contradiction.
It seems that whichever way you approach it, button 1 cannot be pressed.
Again, not sure that it's a genuine contradiction. If it is false that 1, 'it is false that 1' is true. But if it is true that 1, 'it is false that 1' is false.
S: The statement that statements on unpressed buttons are false is unpressed.
S is a version of the liar paradox, issit?
If the statement is unpressed, then the statement is false. But if the statement is false, then the statement is pressed, wherein, it follows that the statement is true.
lish
yup, it is. =)
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