- #71
davee123
- 672
- 4
jimmysnyder said:Are you saying that the puzzle has a solution and the solution is "The puzzle does not have a solution.". I reject this.
So, you HAVEN'T been reading. See my prior post:
davee123 said:The valid answers to this problem ARE, quite definitively one of:
A) The German owns the fish
B) If anyone of the 5 people does own the fish, it is the German
C) There is no solution
jimmysnyder said:1) is explicitly wrong because if the German could own a fish, yet it is also the case that the German might not own a fish. Then the puzzle would indeed be unsolvable. The puzzle is not unsolvable. Therefore, reductio ad absurdum, the German does not own a fish.
Ok, I'm going to stop after this because you're just not listening. Seriously, if I don't post again, it means go back and re-read my posts, because I already addressed this.
Maybe the order is confusing you. I'll state this two different ways, according to what appears to be your logic, and get two different conclusions. Observe the difference:
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There are two possibilities:
A) The German owns the fish
B) There is no fish
If A) were the answer, we would need to assume that a fish definitely exists. However, we cannot make that determination. Hence, because the solution MUST exist as defined by the problem, A) is incorrect. Therefore, the only option left is B).
Answer: There is no fish.
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Now, I'll use the SAME EXACT LOGIC, but in the reverse order:
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There are two possibilities:
A) There is no fish
B) The German owns the fish
If A) were the answer, we would need to assume that no fish exists. However, we cannot make that determination. Hence, because the solution MUST exist as defined by the problem, A) is incorrect. Therefore, the only option left is B).
Answer: The German owns the fish
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As I've said before, the valid answers to this problem ARE:
a) The German owns the fish
b) If anyone of the 5 people does own the fish, it is the German
c) There is no solution
The answer depends on your particular interpretation of the problem.
a) is correct if you assume that the word "the" is a statement officially declaring the fish's existence.
b) is correct if you define "solution" as allowing a certain degree of ambiguity.
c) is correct if you assume the word "the" does NOT establish the fish's existence, and you define "solution" as being totally unambiguous.
DaveE