Puzzles & Paradoxes

Originally posted by Storm
The fox, goose and bag of beans puzzle was correctly solved by all of you.

[b]Burning rope

There are two lengths of rope. Each one can burn in exactly one hour. They are not necessarily of the same length or width as each other. They also are not of uniform width (may be wider in middle than on the end), thus burning half of the rope is not necessarily 1/2 hour.

By burning the ropes, how do you measure exactly 45 minutes worth of time? [/B]

The real problem is, when you are done how do you tell time?

Light both ends of one rope, and one end of the other.
When both ends of one meet it has been half an hour, immediately light the unlit end of the second rope.
When the two ends meet it has been half of a half hour, 15 minutes.

It has thus been 45 minutes.

at t=0, light both ends of one rope (rope A) and one end of the other (rope B).

at t=30, the double lit rope A will completely burn up, the single lit rope Bwill be half burned. at this point, you light the other end of the single lit rope B (making it double lit)

at t=45, rope B will be completely burnt up

😄

Originally posted by Storm
The fox, goose and bag of beans puzzle was correctly solved by all of you.

[b]Burning rope

There are two lengths of rope. Each one can burn in exactly one hour. They are not necessarily of the same length or width as each other. They also are not of uniform width (may be wider in middle than on the end), thus burning half of the rope is not necessarily 1/2 hour.

By burning the ropes, how do you measure exactly 45 minutes worth of time? [/B]

If you light both ends of one rope, it will burn in exactly a 1/2 hour. Thus, burn one rope from both ends and the other rope from only one end. Once the one rope (which is burning from both ends) finally burns out (and you know a 1/2 hour has elapsed), you also know that the other rope (which is buring from only one end) has exactly 1/2 hour left to burn. Since you only want 45 minutes, light the second end of the rope. This remaining piece will burn in 15 minutes. Thus, totaling 45 minutes.

but I guess I'm a little late...

Originally posted by AOR
but I guess I'm a little late...

Here is one paradox :

Is the sentence "This sentence is false" true or false ???

Its niether because it does not pose a question 😛

Originally posted by Alliance
Thats ok, it'll be a party.

w00t cheers mate 🍺

Originally posted by Atlantis001
Here is one paradox :

Is the sentence "This sentence is false" true or false ???

It's both ermm

You need that drink.

Originally posted by Alliance
You need that drink.

Would you care to see my reasoning?

Sure, but I can see reason in both options and therfore your point is techically correct. But something cannot be entirely true and false at the same time.

Originally posted by Atlantis001
Here is one paradox :

Is the sentence "This sentence is false" true or false ???

Well, there is no true answer to this question, it is a real logic paradox that even lead mathematicians to create other kinds of logic called paraconsistent logic.

First remember that one sentence must be either true, or false, it can´t be both at the same time or neither. If you consider it to be true, you can prove that it is false. What is contradictory. If you say that the sentence is false, then you can prove that it is true what is also contradictory. This means that this sentence shows a flaw in logic. Thats why it lead to the creation of other kinds of logic.

Regret, Alliance and AOR you all correctly solved the previous puzzle.

No brainteaser now.

Socrates: [Anyone] who leaves behind him a written manuscript ... on the supposition that such writing will provide something reliable and permanent, must be exceedingly simple minded... [That' s] the strange thing about writing that makes it truly analogous to painting. The painter' s products stand before us as though they were alive, but if you question them, they maintain the most majestic silence. It is the same with written words; they seem to talk to you as though they were intelligent, but if you ask them anything about what they say, from a desire to be instructed, they go on saying the same thing forever. And once a thing is put into writing, the composition... drifts all over the place... And when it is ill treated and unfairly abused it always needs its parent to come to its help, being unable to defend or help itself... But now tell me, is there another sort of discourse that is the brother to the written speech, but of unquestioned legitimacy? ...

Speech!

Correct. The living speech.

Zebra Puzzle
[list]1. There are five houses.
2. The Englishman lives in the red house.
3. The Spaniard owns the dog.
4. Coffee is drunk in the green house.
5. The Ukrainian drinks tea.
6. The green house is immediately to the right of the ivory house.
7. The Old Gold smoker owns snails.
8. Kools are smoked in the yellow house.
9. Milk is drunk in the middle house.
10. The Norwegian lives in the first house.
11. The man who smokes Chesterfields lives in the house next to the man with the fox.
12. Kools are smoked in the house next to the house where the horse is kept.
13. The Lucky Strike smoker drinks orange juice.
14. The Japanese smokes Parliaments.
15. The Norwegian lives next to the blue house.[/list]Now, who drinks water? Who owns the zebra?

In the interest of clarity, it must be added that each of the five houses is painted a different color, and their inhabitants are of different national extractions, own different pets, drink different beverages and smoke different brands of American cigarettes. One other thing: in statement 6, right means your right.

Originally posted by Storm
Now, who drinks water?

The Norwegian man.

Originally posted by Storm
Who owns the zebra?

The Japanese man.

Originally posted by Adam_PoE
The Norwegian man.

The Japanese man.

I concur....

Which method did you follow to derive the solution?

There was one part where I had to guess between two places, I chose correctly. 😛

Anyway, it took me a good 10 minutes...

Originally posted by Storm
Which method did you follow to derive the solution?

Deduction.