## Search found 45 matches

- Fri Dec 16, 2016 7:41 pm UTC
- Forum: Logic Puzzles
- Topic: Infinite Balls and Jugs [solution]
- Replies:
**611** - Views:
**50441**

### Re: Infinite Balls and Jugs [solution]

I've been thinking some more about this (don't groan :) ), particularly in light of mward's post . I imagined an infinitely long train with numbered carriages, passing through a station. At any finite time it's possible to say which carriage is passing through - but after an infinite number of carr...

- Fri Dec 16, 2016 3:35 pm UTC
- Forum: Logic Puzzles
- Topic: Word Puzzle.
- Replies:
**6** - Views:
**1124**

### Re: Word Puzzle.

Regarding SOWPODS, I picked up the words from here to use. We only need to consider word pairs - i.e. pairs of words such that each is the other reversed. Additionally, we only need to consider word pairs where the three letters used are each unique - so eel/lee, for example, would be eliminated. Fr...

- Tue Dec 13, 2016 8:00 pm UTC
- Forum: Logic Puzzles
- Topic: Word Puzzle.
- Replies:
**6** - Views:
**1124**

### Re: Word Puzzle.

Yeah, with the word set jaap provided in the spoiler, it's not possible. Consider the word in the middle row. This word consists of the middle letter of the words in each of the three columns. Therefore, this word must be made entirely up of letters in the middle of some word. The only seven letters...

- Tue Dec 13, 2016 2:45 pm UTC
- Forum: Logic Puzzles
- Topic: Infinite Balls and Jugs [solution]
- Replies:
**611** - Views:
**50441**

### Re: Infinite Balls and Jugs [solution]

What happens when x is infinite? First, x cannot be part of Bj for any finite j, since since each finite Bj only contains finite values. So now, we need to do the same here... in order for L_inf to be non-empty there needs to be some specific I_j which is non-empty. What stops me from arguing the s...

- Sun Dec 11, 2016 7:43 pm UTC
- Forum: Logic Puzzles
- Topic: Infinite Balls and Jugs [solution]
- Replies:
**611** - Views:
**50441**

### Re: Infinite Balls and Jugs [solution]

You claim this is not one of those times. Are you making that claim just because the consequences of it being the natural numbers go against your finite-set-based intuition? Or is there some more concrete reason? I claim there are numbers that take an infinite number of steps to count to, for the v...

- Sat Dec 10, 2016 4:02 am UTC
- Forum: Logic Puzzles
- Topic: Infinite Balls and Jugs [solution]
- Replies:
**611** - Views:
**50441**

### Re: Infinite Balls and Jugs [solution]

Demki wrote:If they don't say that explicitly, they are using non-standard notation without informing about it, and are communicating badly.

And we all know what happens to people who communicate badly.

- Fri Dec 09, 2016 4:31 pm UTC
- Forum: Logic Puzzles
- Topic: Infinite Balls and Jugs [solution]
- Replies:
**611** - Views:
**50441**

### Re: Infinite Balls and Jugs [solution]

The puzzle starts " Suppose I have infinitely many balls, numbered 1,2,.. and so on. " It says nothing about finite numbers, or natural numbers. Just "infinitely many balls". If you actually count them all , it's no surprise you get an infinite number. If you try to model it usi...

- Fri Dec 09, 2016 2:44 pm UTC
- Forum: Logic Puzzles
- Topic: Infinite Balls and Jugs [solution]
- Replies:
**611** - Views:
**50441**

### Re: Infinite Balls and Jugs [solution]

In the original problem and the original problem only, what mechanism is used to create balls with infinite labels? By starting an infinite task and actually finishing it . We set out to count to infinity and we got there . We didn't just tend towards it , we really did it . The whole thing. Done. ...

- Fri Dec 09, 2016 1:53 pm UTC
- Forum: Logic Puzzles
- Topic: Infinite Balls and Jugs [solution]
- Replies:
**611** - Views:
**50441**

### Re: Infinite Balls and Jugs [solution]

Then let's try a different tactic. We are not merely dealing with a generic "fully instantiated infinite set of numbers" - we are dealing with a particular set: the natural numbers. So let's talk about those. How do you define the natural numbers? I ask "why are we dealing with an in...

- Thu Dec 08, 2016 3:08 pm UTC
- Forum: Logic Puzzles
- Topic: Infinite Balls and Jugs [solution]
- Replies:
**611** - Views:
**50441**

### Re: Infinite Balls and Jugs [solution]

We have differing opinions on whether a fully instantiated infinite set of numbers includes infinite numbers or not. So whatever I answer here will only lead to us going round in circles. Then let's try a different tactic. We are not merely dealing with a generic "fully instantiated infinite s...

- Tue Dec 06, 2016 1:10 am UTC
- Forum: Logic Puzzles
- Topic: Infinite Balls and Jugs [solution]
- Replies:
**611** - Views:
**50441**

### Re: Infinite Balls and Jugs [solution]

If L were merely infinite, then your argument might have some merit. However, L is not merely infinite - it contains ALL the natural numbers. There isn't any mapping going on here. ALL the natural numbers from 1 to where? The only way to compare them is to set up a 1:1 mapping. "ALL the natura...

- Mon Dec 05, 2016 2:43 pm UTC
- Forum: Logic Puzzles
- Topic: Infinite Balls and Jugs [solution]
- Replies:
**611** - Views:
**50441**

### Re: Infinite Balls and Jugs [solution]

Now consider the three-partition L-C-R scenario. At the end of the supertask, all the natural numbers are in L. It doesn't matter how it gets there, it just matters that it gets there. Now, we'll call set U the union of C and R. Set U contains all the natural numbers that are not in L. Do you agree...

- Wed Nov 30, 2016 7:22 pm UTC
- Forum: Logic Puzzles
- Topic: Infinite Balls and Jugs [solution]
- Replies:
**611** - Views:
**50441**

### Re: Infinite Balls and Jugs [solution]

But you can put the 10% of the naturals you took away in a bijection with the entire set of naturals, in their usual order. (For example, if you took out 1, 11, 21, etc. you could use 1 -> 1, 11 -> 2, 21 -> 3, etc.) 10% of the naturals is the exact same size as the naturals. And when you try to tak...

- Wed Nov 30, 2016 2:05 pm UTC
- Forum: Logic Puzzles
- Topic: Infinite Balls and Jugs [solution]
- Replies:
**611** - Views:
**50441**

### Re: Infinite Balls and Jugs [solution]

Can you prove that it's even possible to divide N this way? And can you prove that the puzzle does force this division? It's not possible to take set N and pick a specific number partway up the set. But it's possible to construct two sets simultaneously, using every member from N , but keeping the ...

- Tue Nov 29, 2016 7:28 pm UTC
- Forum: Logic Puzzles
- Topic: Infinite Balls and Jugs [solution]
- Replies:
**611** - Views:
**50441**

### Re: Infinite Balls and Jugs [solution]

And it's possible that I've missed your explanation on where the infinite numbered balls came from since they did not exist at the start. Would you mind pointing it out to me? They arise because the set N is divided in the way I just described, at a point relative to the size of N . The numbers in ...

- Tue Nov 29, 2016 5:06 pm UTC
- Forum: Logic Puzzles
- Topic: Infinite Balls and Jugs [solution]
- Replies:
**611** - Views:
**50441**

### Re: Infinite Balls and Jugs [solution]

The trouble is, what we're dealing with in the original problem is the natural numbers in their usual ascending order. In order for your "infinite numbers" to exist, there needs to be an infinite amount of numbers followed by something. This doesn't happen with the natural numbers in thei...

- Tue Nov 29, 2016 4:06 pm UTC
- Forum: Logic Puzzles
- Topic: Infinite Balls and Jugs [solution]
- Replies:
**611** - Views:
**50441**

### Re: Infinite Balls and Jugs [solution]

The only way for that tower to have nonzero size is if each piece decreases in size(say the size of the section halves with each step), so wherever you point, it is part of some finite section corresponding to a natural number, if you point from above straight down at the top, there is no number yo...

- Mon Nov 21, 2016 1:34 pm UTC
- Forum: Logic Puzzles
- Topic: Hidden Cards
- Replies:
**5** - Views:
**1176**

### Re: Hidden Cards

I see your 46 and raise you 47 with the following strategy: Rather than having a random uncertain logician guess the number on their blue card, the logician with the lowest remaining blue card should guess the number on their red card. This still makes it public knowledge what B(i 0 ) is, an...

- Fri Mar 11, 2016 5:46 am UTC
- Forum: Logic Puzzles
- Topic: Three Water Tanks
- Replies:
**7** - Views:
**2458**

### Re: Three Water Tanks

Two points towards curiosityspoon's solution: Minor point: All pumping activities can be finished in the 5 minutes it takes you to move from one tank to the other. So there's an epsilon for you - it takes 5 minutes to move between tanks. Major point, in response to your first paragraph: Let's take y...

- Thu Mar 10, 2016 10:40 pm UTC
- Forum: Logic Puzzles
- Topic: Three Water Tanks
- Replies:
**7** - Views:
**2458**

### Re: Three Water Tanks

Can there wind up being a non-integer amount of water in any given tank? For example, if the capacity was 40 liters, and first you request 15 liters from tank A, so the division is 25:40:40, and then an hour later you request 40 liters from tank A. Would it fill up so that the ratio is 40:32.5:32.5?...

- Fri Mar 04, 2016 2:50 pm UTC
- Forum: Logic Puzzles
- Topic: Optimize tiling for a 50x50 grid
- Replies:
**7** - Views:
**2370**

### Re: Optimize tiling for a 50x50 grid

Nice job filling in the whole grid. If I'm doing the math right, that's 1934 points. On the other hand, there's no penalty for leaving squares unfilled. Here's my solution: it leaves 2 squares unfilled and scores 1942 points. I used 8 5x5 tiles and discarded a 5x4 and a 5x3. http://i.imgur.com/DhpI0...

- Sun Jul 08, 2007 3:42 pm UTC
- Forum: Forum Games
- Topic: Text-based counterstrike
- Replies:
**41** - Views:
**10708**

>Y You are in the Library. You don't know who you are, but you must determine your character. There are closed doors to corridors to the North and to the West. You see Miss Scarlet out the window sneaking about. >OPEN NORTH DOOR You open the door. You spy Prof. Plum going into the Billiard Room thro...

- Thu Jul 05, 2007 3:25 pm UTC
- Forum: Forum Games
- Topic: Count to one thousand
- Replies:
**361** - Views:
**28685**

- Wed Jul 04, 2007 2:54 pm UTC
- Forum: Logic Puzzles
- Topic: Traveler's Dilemma
- Replies:
**833** - Views:
**60474**

- Mon Jul 02, 2007 11:26 pm UTC
- Forum: Forum Games
- Topic: Count to one thousand
- Replies:
**361** - Views:
**28685**

- Fri Jun 29, 2007 12:36 pm UTC
- Forum: Forum Games
- Topic: Fibs
- Replies:
**32** - Views:
**3963**

That one turns out longer than the one that I wrote. However, I don't think it counts. There's a change in count - letters instead of syllables. If someone could write a longer one using syllables instead of letters like him, please do so, so that I can say that you have completely broken the record...

- Thu Jun 28, 2007 12:45 pm UTC
- Forum: Forum Games
- Topic: Changing words
- Replies:
**296** - Views:
**23499**

- Thu Jun 28, 2007 12:45 pm UTC
- Forum: Forum Games
- Topic: you're fired!!!!
- Replies:
**45** - Views:
**6065**

- Thu Jun 28, 2007 12:43 pm UTC
- Forum: Forum Games
- Topic: Text-based counterstrike
- Replies:
**41** - Views:
**10708**

Would you believe I'm just making this up as I go along? I've got some interesting eliminations planned for later... Well, here goes Take 5: You are in the Library. You don't know who you are, but you must determine your character. There are closed doors to corridors to the North and to the West. Yo...

- Wed Jun 27, 2007 9:14 pm UTC
- Forum: Forum Games
- Topic: Fibs
- Replies:
**32** - Views:
**3963**

- Wed Jun 27, 2007 5:55 pm UTC
- Forum: Forum Games
- Topic: Text-based counterstrike
- Replies:
**41** - Views:
**10708**

- Wed Jun 27, 2007 3:46 pm UTC
- Forum: Forum Games
- Topic: Good News, Bad News
- Replies:
**8729** - Views:
**581955**

- Wed Jun 27, 2007 2:37 pm UTC
- Forum: Forum Games
- Topic: The Movie Quote Game!
- Replies:
**219** - Views:
**28834**

- Wed Jun 27, 2007 2:12 pm UTC
- Forum: Forum Games
- Topic: Text-based counterstrike
- Replies:
**41** - Views:
**10708**

>SHOOT LOCK WITH GUN The door is now unlocked, but still closed. BUSTED. the rest is awesome though. Forgot about that... fixed in this go-through. You are in the Library. You don't know who you are, but you must determine your character. There are closed doors to corridors to the North and to the ...

- Tue Jun 26, 2007 11:00 pm UTC
- Forum: Forum Games
- Topic: Text-based counterstrike
- Replies:
**41** - Views:
**10708**

You are in the Library. You don't know who you are, but you must determine your character. There are closed doors to corridors to the North and to the West. You see Miss Scarlet out the window sneaking about. >OPEN NORTH DOOR You open the door. You spy Prof. Plum going into the Billiard Room through...

- Tue Jun 26, 2007 10:49 pm UTC
- Forum: Forum Games
- Topic: Text-based counterstrike
- Replies:
**41** - Views:
**10708**

- Tue Jun 26, 2007 10:01 pm UTC
- Forum: Forum Games
- Topic: Text-based counterstrike
- Replies:
**41** - Views:
**10708**

You are in the Library. You don't know who you are, but you must determine your character. There are closed doors to corridors to the North and to the West. You see Miss Scarlet out the window sneaking about. >GO NORTH You try to go north, but the door is closed. >OPEN NORTH DOOR You open the door. ...

- Tue Jun 26, 2007 12:01 pm UTC
- Forum: Forum Games
- Topic: Corrupt-a-wish
- Replies:
**25225** - Views:
**1327292**

- Tue Jun 26, 2007 2:48 am UTC
- Forum: Forum Games
- Topic: Non-Sequitur Showdown.
- Replies:
**3813** - Views:
**357535**

You find yourself in a cavern. You cannot see, feel, hear, or taste anything, and are not even sure of who you are. >>SMELL You smell a wumpus. The wumpus ate you. You can't win this game, so don't even bother trying. >>UNDO Move undone. >>STUMBLE AROUND BLINDLY You somehow manage to avoid a pit and...

- Tue Jun 26, 2007 2:32 am UTC
- Forum: Forum Games
- Topic: Corrupt-a-wish
- Replies:
**25225** - Views:
**1327292**

Granted - you get the tracking device. Unfortunately, you only get your choice once, so that means you can only track one object. Even that wouldn't be so bad except that you misplaced it and the first thing you thought to choose was it - so now you have a tracker that tracks itself. Nice. I wish th...