Search found 45 matches

by Poker
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...
by Poker
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...
by Poker
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...
by Poker
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...
by Poker
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...
by Poker
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.
by Poker
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...
by Poker
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. ...
by Poker
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...
by Poker
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...
by Poker
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...
by Poker
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...
by Poker
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...
by Poker
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 ...
by Poker
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 ...
by Poker
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...
by Poker
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...
by Poker
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...
by Poker
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...
by Poker
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?...
by Poker
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...
by Poker
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...
by Poker
Thu Jul 05, 2007 3:25 pm UTC
Forum: Forum Games
Topic: Count to one thousand
Replies: 361
Views: 28685

2*(6^2+1)
by Poker
Wed Jul 04, 2007 2:54 pm UTC
Forum: Logic Puzzles
Topic: Traveler's Dilemma
Replies: 833
Views: 60474

Actually, a little thing needs clearing up.

Does he pay each person what they said it was worth (possibly + or - 2), or does he pay each person the lower of the two values (possibly + or - 2)? Because we seem to have different members believing different situations.
by Poker
Mon Jul 02, 2007 11:26 pm UTC
Forum: Forum Games
Topic: Count to one thousand
Replies: 361
Views: 28685

Here is the skipped 37:

3^3+3^2+3^0

And 40:

3^3+3^2+3^1+3^0
by Poker
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...
by Poker
Thu Jun 28, 2007 12:45 pm UTC
Forum: Forum Games
Topic: Changing words
Replies: 296
Views: 23499

Curling iron
by Poker
Thu Jun 28, 2007 12:45 pm UTC
Forum: Forum Games
Topic: you're fired!!!!
Replies: 45
Views: 6065

^Fired for not saying instead that it was stunned or was "pining for the fjords."
by Poker
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...
by Poker
Wed Jun 27, 2007 9:14 pm UTC
Forum: Forum Games
Topic: Fibs
Replies: 32
Views: 3963

What?
Is
no one
going to
try to top that one?
I expect better from you guys.
Or can't you use one hundred forty-four syllables?
I'm stopping here. I'm not trying to tackle my record. Hypocritical? Maybe.
by Poker
Wed Jun 27, 2007 5:55 pm UTC
Forum: Forum Games
Topic: Text-based counterstrike
Replies: 41
Views: 10708

The only thing I'm unsure about physically is the Conservatory crashing down because of the stress the whip causes. Though I guess the force of the rain coming down from the storm could help nudge things along...
by Poker
Wed Jun 27, 2007 3:46 pm UTC
Forum: Forum Games
Topic: Good News, Bad News
Replies: 8729
Views: 581955

Bad News: This was a plane. The bathroom goes tumbling towards the ocean.
by Poker
Wed Jun 27, 2007 2:37 pm UTC
Forum: Forum Games
Topic: The Movie Quote Game!
Replies: 219
Views: 28834

Spaceballs!

If you shoot him, you'll just make him mad.
by Poker
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 ...
by Poker
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...
by Poker
Tue Jun 26, 2007 10:49 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...
by Poker
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. ...
by Poker
Tue Jun 26, 2007 12:01 pm UTC
Forum: Forum Games
Topic: Corrupt-a-wish
Replies: 25225
Views: 1327292

Sure, I won't say that word. But then later there is a revenge wish that you be completely unable to speak.

I wish that there was a wish that could not be corrupted no matter what.
by Poker
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...
by Poker
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...

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