All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Island Adventure 2 (Posted on 2015-04-21)
You go to an island trying to find gold. Every inhabitant is either a knight or a liar. You meet two inhabitants, A and B.

A:Either B is a knight or there is gold on this island.
B:Either A is a liar or there is gold on this island.

What are A and B, and is there gold on the island?

 No Solution Yet Submitted by Math Man No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 Thoughts Comment 4 of 4 |
the problem seems to be more complicated than I originally thought, unless i am over-complicating it!

Here is how I see it:

In order for a given statement to be true, it must be true in it's entirety (i.e. there can be no part of the statement that is false)

However, it only takes one part of a statement to be false, for the entire thing to be considered a false statement overall.

The complication occurs in that there can be many different ways for the same statement to be made false, even though part of it may be true.

For example take the statement from A and assume it is true:
A: 'Either B is a knight or there is gold on this island' = True

The statement contains two parts and can be made false in different ways:

' Either B is a liar or there is gold on this island' = False
' Either B is a knight or there is no gold on this island' = False

thoughts?

 Posted by alex on 2015-08-21 15:51:18
Please log in:
 Login: Password: Remember me: Sign up! | Forgot password

 Search: Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information