Oops, you're right. My "red herring" turned out a little too greenish.Snark wrote:Unfortunately, that puzzle doesn't require use of Odd Man Out.

Here's a new try at using both "Odd Man Out" and "Sandwich" in a 4-by-4-with-4 matrix:

**Spoiler:**

- Sat Oct 13, 2012 6:15 pm UTC
- Forum: Logic Puzzles
- Topic: Hitori Composition
- Replies:
**10** - Views:
**4208**

Oops, you're right. My "red herring" turned out a little too greenish.Snark wrote:Unfortunately, that puzzle doesn't require use of Odd Man Out.

Here's a new try at using both "Odd Man Out" and "Sandwich" in a 4-by-4-with-4 matrix:

- Sat Oct 13, 2012 3:45 pm UTC
- Forum: Logic Puzzles
- Topic: Hitori Composition
- Replies:
**10** - Views:
**4208**

Since nobody's attempted it yet, maybe I'd better share my strategy for composing Hitori puzzles: Suppose that I wanted a Hitori puzzle that required both Heuristic 4 ("Odd Man Out") and Heuristic 5 ("Sandwich") to solve. I start with a blank matrix of the size I ...

- Thu Oct 11, 2012 11:41 pm UTC
- Forum: Serious Business
- Topic: General Economics Stuff
- Replies:
**118** - Views:
**39790**

Now, you'll note from the scale of the graph that debt, on a nation-state level, tends to be somewhat lower than what some people consider acceptable for an individual. Does it? I'm trying to picture what the individual analog of GDP is. All the business that is conducted on my property or by peopl...

- Tue Oct 09, 2012 8:35 pm UTC
- Forum: Mathematics
- Topic: Related Rates Help
- Replies:
**8** - Views:
**3482**

relative velocity is simply the difference of the vleocity vectors - since the velocity vector's directions are at right angles Pythagoras is adequate to find the magnitude: sqrt(9^2 + 10^2) - no need to decompose by componets - no need for calculus beyond finding the 2nd velocity The question didn...

- Tue Oct 09, 2012 5:06 am UTC
- Forum: Mathematics
- Topic: Related Rates Help
- Replies:
**8** - Views:
**3482**

I've forgotten everything I ever knew about calculus except how to take the derivative of a polynomial, so I had to find a solution to the problem that didn't require any of this "implicit differentiation" gobbledygook. Fortunately, this proved doable. First, we switch to a reference frame...

- Mon Oct 08, 2012 11:31 pm UTC
- Forum: Logic Puzzles
- Topic: Hitori Composition
- Replies:
**10** - Views:
**4208**

I'm wondering about how 'elegant' non-square puzzles are compared to square ones. A 7x5 matrix (or 14x5 matrix!) using integers 1 through 7 also scores -7.2 on your scale, but it seems like it should get a different score. Different in which direction? Hitori is a close cousin of Sudoku, and Sudoku...

- Mon Oct 08, 2012 2:46 am UTC
- Forum: Logic Puzzles
- Topic: Hitori Composition
- Replies:
**10** - Views:
**4208**

Oops, fixed the typo in H1. Not sure what you mean by H5 being a special case of H4, though. They're very different. (They do overlap in the case of three-of-a-kind-in-a-row, which can be treated as a special case of either, but that's the only overlap.) Edit: for example, here are two small puzzles...

- Sun Oct 07, 2012 10:26 pm UTC
- Forum: Logic Puzzles
- Topic: Hitori Composition
- Replies:
**10** - Views:
**4208**

I was playing some mindless computer-generated Hitori puzzles and started wondering whether I could make a "better" one than the ones the computer was generating. I had enough fun fiddling with the problem that I thought I might share. Definition of a Hitori puzzle: For our purposes, a Hit...

- Sun Oct 07, 2012 4:11 pm UTC
- Forum: Logic Puzzles
- Topic: I like cake and ice cream
- Replies:
**2** - Views:
**1597**

Here's my solution: I replace "I" with "J" throughout to avoid confusion with the numeral "1". The only thing that could get carried into the ten-thousands place is 1, so C=1. I decide to try R=0, because it can't be 1 and the thousands place looks unlikely to add u...

- Wed Oct 03, 2012 9:41 pm UTC
- Forum: Serious Business
- Topic: How did Israel come to exist?
- Replies:
**21** - Views:
**9925**

I mostly agree with BattleMoose's account, plus mosc's addendum that "Palestine" included the Transjordan, but I have a couple of additions regarding motivations. the Ottoman Empire was on the wrong side and basically after the war ceased to exist ... World War II happened You make the con...

- Mon Oct 01, 2012 4:00 am UTC
- Forum: General
- Topic: What world shattering disasters worry you?
- Replies:
**61** - Views:
**8049**

Political disaster. "Imagine a boot stamping on a human face, forever." Military technology at this point is sufficiently powerful that if a Taliban-esque government got control of the world, any rebellion could be easily suppressed and their ideology could be propagated indefinitely. For ...

- Mon Oct 01, 2012 3:47 am UTC
- Forum: Logic Puzzles
- Topic: Pennies in Boxes
- Replies:
**85** - Views:
**49106**

Here's an inefficient brute-force solution that recovers about a third of the value of the pennies without using any chemistry: Hire an intermodal shipping company to transport about 1000 cubic meters of little boxes from your back yard to Cambodia. Estimated cost: $25,000. Hire 4 million man-hours ...

- Sat Sep 29, 2012 7:10 pm UTC
- Forum: Language/Linguistics
- Topic: Would a "Mozart Effect" for languages work?
- Replies:
**8** - Views:
**5512**

What if instead of tapes the parents just quietly sneak some extra sounds into their household English, based on spellings? Off the top of my head: ⋅ Pronounce "wh" (as in "which") as /ʍ/ while pronouncing "w" (as in "witch") as /w/. (My dialect does...

- Thu Sep 27, 2012 4:28 am UTC
- Forum: Serious Business
- Topic: Atheism as a civil rights movement
- Replies:
**570** - Views:
**46056**

I think there are some important disanalogies between discrimination on the basis of religion and discrimination on the basis of things like race. At least in principle, religion is something one chooses, not something one's born with. If I successfully convince you that I'm God and that the best wa...

- Wed Sep 26, 2012 4:38 pm UTC
- Forum: Mathematics
- Topic: Complement of Infinite Union.
- Replies:
**7** - Views:
**3231**

Take the complement of the Union of A_n from 1 to infinity. Now take the intersection of the compliment of A_n from 1 to infinity. Are these sets equal? ... I have tried assuming that there is some non empty set C of {A_n} such that the equation is false. Forgive me, it's been a long time since I'v...

- Sat Sep 22, 2012 3:45 pm UTC
- Forum: General
- Topic: Paper People!
- Replies:
**13** - Views:
**1927**

Yes, of course they're real people. When I utter the statement "my favorite color is indigo", there are two possibilities: (1) my conscious experience of indigo-qualia has played a causal role in leading me to make that sentence; (2) I would have made that sentence regardless of whether I'...

- Fri Sep 21, 2012 11:43 pm UTC
- Forum: Logic Puzzles
- Topic: 5 Cards, Choose 4
- Replies:
**7** - Views:
**5322**

That thread includes a proof that this is possible with a pack of up to 124 cards (5!+4). After much squinting at Wikipedia (I don't know any graph theory) I've convinced myself of the proof's validity. So, can anyone come up with a simple method to solve this with more cards Could anyone dumb-down...

- Fri Sep 21, 2012 2:45 am UTC
- Forum: Language/Linguistics
- Topic: Words common to different languages with different meanings
- Replies:
**69** - Views:
**30142**

I remember back when I was learning Spanish, I kept getting thrown off by English color words being used as nouns. una "red" refers to a net . un "hielo" (pronounced "yellow") refers to an ice cube . I think there were others too, but I've forgotten what they were. Hace...

- Fri Sep 21, 2012 2:19 am UTC
- Forum: General
- Topic: INTRO THREAD THE THIRD
- Replies:
**10865** - Views:
**1959713**

Welcome! Do you prefer deontological, consequentialist or virtue ethics? Or something else? Thanks for the welcome! Since a large part of what attracts me to this forum is the Logic Puzzles section, I'll go ahead and share my analysis of the possible answers to your question: ⋅ If you ask...

- Thu Sep 20, 2012 11:40 pm UTC
- Forum: Mathematics
- Topic: Lottery Problem: "All or Nothing"
- Replies:
**8** - Views:
**6526**

Assuming that order doesn't matter and that repeated numbers are not allowed: The player's odds of winning with "all" are 100% if n≤12 and decrease as n increases beyond 12. The player's odds of winning with "none" are 0% if n≤23 and increase as n increases beyond 23. So n=23 giv...

- Thu Sep 20, 2012 1:18 pm UTC
- Forum: Language/Linguistics
- Topic: The Oxford Comma
- Replies:
**26** - Views:
**13295**

As Rizzo pointed out above, the Oxford comma is necessary in complex lists. "We ate pancakes, biscuits and gravy, and bread and jam" would be terribly ugly without the second comma. This is not necessarily true provdided we follow the convention of using ampersands within items in a list ...

- Wed Sep 19, 2012 11:20 pm UTC
- Forum: Logic Puzzles
- Topic: Code from my childhood
- Replies:
**14** - Views:
**5527**

Th bnks af prog jvj n givsuth fe pppp rtvn jty it pocr bck a th jsisjm plf ebvtu ffff ctjvfec pdf.

- Wed Sep 19, 2012 9:27 pm UTC
- Forum: Language/Linguistics
- Topic: The Oxford Comma
- Replies:
**26** - Views:
**13295**

I use it. As Rizzo pointed out above, the Oxford comma is necessary in complex lists. "We ate pancakes, biscuits and gravy, and bread and jam" would be terribly ugly without the second comma. So even if "We ate pancakes, biscuits and bread" isn't terribly ugly, I think it's prefe...

- Wed Sep 19, 2012 7:58 pm UTC
- Forum: General
- Topic: INTRO THREAD THE THIRD
- Replies:
**10865** - Views:
**1959713**

Hi, everyone. I'm a 29-year-old ethicist from the United States. I don't expect to be very active here, at least in the immediate future, but wanted to go ahead and stake out an account so that I'd have the option of posting if I wanted to.