Search found 81 matches

by PaulT
Wed Sep 24, 2008 7:00 pm UTC
Forum: Logic Puzzles
Topic: Unusual Cake Slicing
Replies: 84
Views: 20505

Re: Unusual Cake Slicing

MartianInvader wrote:Very interesting one. A question for clarification: Are we assuming that all the pieces must be connected? (i.e., if I divvied it up into 5 squares and 5 circles, could I claim 1 piece is a square + a circle?)

I'd say all the pieces have to be 'in one piece'.
by PaulT
Mon Sep 22, 2008 10:13 am UTC
Forum: Logic Puzzles
Topic: Unusual Cake Slicing
Replies: 84
Views: 20505

Re: Unusual Cake Slicing

The original question seems strange. If it should be possible to do with a real cake, it seems to me it's supposed to be about cutting a cake fairly without including the center in any piece, not having the center piece have the same shape as the other pieces. In which case the question is trivial ...
by PaulT
Fri Sep 19, 2008 2:23 pm UTC
Forum: Logic Puzzles
Topic: Unusual Cake Slicing
Replies: 84
Views: 20505

Re: Unusual Cake Slicing

I knew there was a condition I forgot to add... finitely many slices. I don't think it seems likely there's a solution either, but neither can I see that it's obviously impossible. An equilateral triangular cake has all its lines of symmetry passing through the centre, which is also the centre of ro...
by PaulT
Fri Sep 19, 2008 1:24 pm UTC
Forum: Logic Puzzles
Topic: Unusual Cake Slicing
Replies: 84
Views: 20505

Unusual Cake Slicing

Here's the puzzle: You have a circular cake. There is a spot of poison in the exact centre of the cake. You must cut the cake up into some number of pieces (greater than 1) so that each piece is the same size and shape (rotations and reflections fine) and so that the poison falls solely in one slice...
by PaulT
Fri Jul 18, 2008 1:39 pm UTC
Forum: Language/Linguistics
Topic: Confusion using predictive text.
Replies: 25
Views: 4943

Re: Confusion using predictive text.

'Smirnoff' is homonumeric(?) with 'poisoned'. That's the longest pair I know of. Doubtless not the longest there is though.
by PaulT
Wed Jul 02, 2008 11:12 am UTC
Forum: Movies and TV Shows
Topic: Doctor Whom
Replies: 4990
Views: 759797

Re: Doctor Who

Oh and as someone who doesn't watch Sarah Jane adventures; What. The. ****. Is that really what the show is like? She has a talking computer designed by the special effects people who worked on Fraggle Rock and drives around in her J337-Jane car solving alien crises with her son? Shit. Well, it is ...
by PaulT
Fri Jun 20, 2008 11:37 am UTC
Forum: Language/Linguistics
Topic: Homophone phrases/sentences?
Replies: 7
Views: 9288

Re: Homophone phrases/sentences?

These things are called holorimes.
by PaulT
Fri Mar 28, 2008 10:39 pm UTC
Forum: Language/Linguistics
Topic: Anagram question
Replies: 16
Views: 6449

Re: Anagram question

I've always considered 'stop' to be the most anagrammable four-letter-word (along with its anagrams of course). I have no corroborating evidence though.
by PaulT
Sat Jan 19, 2008 2:05 am UTC
Forum: Logic Puzzles
Topic: Higher or lower?
Replies: 4
Views: 2189

Re: Higher or lower?

This question's come up before though right? As I recall, it's plagued with difficulties about how Adam chooses the numbers and suchlike. In practise, I'm sure there's no way to increase your odds above 50% for the obvious reasons.
by PaulT
Mon Dec 24, 2007 4:00 pm UTC
Forum: Logic Puzzles
Topic: Simple Puzzle
Replies: 27
Views: 6094

Re: Simple Puzzle

This reminds me of a similar "missing entry" sequence: 1000, 1000000000, ???, 100, 1, 4, 8, 3, 5 which also stops just in the nick of time. I see the pattern, but I don't know the missing term. One thous a nd, one b illion, ?, one hun d red, on e , f our, ei g ht, t h ree, f i ve. n k = t...
by PaulT
Wed Nov 28, 2007 1:20 am UTC
Forum: Mathematics
Topic: 11x=x^x
Replies: 10
Views: 2140

Re: 11x=x^x

It's a little bit more than 3. I hope this has been helpful.
by PaulT
Mon Nov 26, 2007 9:56 pm UTC
Forum: Language/Linguistics
Topic: commonly used phrases
Replies: 41
Views: 5570

Re: commonly used phrases

Well I suppose "another thing coming" just means that you currently think such-and-such, but something is coming that will make you reassess.
by PaulT
Mon Nov 26, 2007 4:27 pm UTC
Forum: Language/Linguistics
Topic: commonly used phrases
Replies: 41
Views: 5570

Re: commonly used phrases

It's definitely "think". How so? Google disagrees on common usage. Both make perfectly good logical sense. "You've got another think coming" is much harder to say since you have to separately pronounce two consecutive hard k sounds. Even if it was originally 'think' (is there an...
by PaulT
Mon Nov 26, 2007 11:57 am UTC
Forum: Language/Linguistics
Topic: commonly used phrases
Replies: 41
Views: 5570

Re: commonly used phrases

The one I've always had trouble with is "If you think _____, you've got another thing/think coming". I've always thought of it as "thing", but I've seen it around as "think", which, while it makes sense, has always sounded needlessly awkward to me when you could just s...
by PaulT
Mon Nov 26, 2007 1:43 am UTC
Forum: Language/Linguistics
Topic: commonly used phrases
Replies: 41
Views: 5570

Re: commonly used phrases

Number3Pencils wrote:"For all intents and purposes"
"Part and parcel"

Not intensive, not partial.

Do people really get 'part and parcel' wrong? Do they say 'part and partial' or 'partial parcel'? I suppose the former, which is a shame. I think I'll have to start saying 'partial parcel'.
by PaulT
Fri Nov 23, 2007 1:51 am UTC
Forum: Mathematics
Topic: Favourite Erroneous "Proofs"
Replies: 194
Views: 43422

Re: Favourite Erroneous "Proofs"

If a relation is symmetric and transitive, then it is also reflexive. (I came up with this one myself during a lecture today, I was quite proud) a R b, b R c -> a R c that is transitivity. let c=a. a R b, b R a -> a R a since the first half of that proposition is true for a symmetric R , we can be ...
by PaulT
Thu Nov 22, 2007 7:35 pm UTC
Forum: Mathematics
Topic: Uh oh. My math teacher says .999... does not equal 1.
Replies: 9
Views: 3943

Re: Uh oh. My math teacher says .999... does not equal 1.

While there are indeed infinitely many values between any two distinct real numbers, that's only relevant if 0.999... and 1 are distinct numbers, which is what he's trying to show. That's begging the question, fallacy fans!

Also, the Intermediate Value Theorem is something else entirely isn't it?
by PaulT
Wed Nov 21, 2007 11:26 pm UTC
Forum: Mathematics
Topic: Amusing answers to tests
Replies: 393
Views: 60530

Re: Amusing answers to tests

By the way, the Niels Bohr story was missing my favourite method of determining the height of the building: you find the site manager and offer him this shiny new barometer if he'll tell you the height of the building. "But since we are constantly being exhorted to exercise independence of min...
by PaulT
Wed Nov 21, 2007 12:44 am UTC
Forum: Mathematics
Topic: Amusing answers to tests
Replies: 393
Views: 60530

Re: Amusing answers to tests

By the way, the Niels Bohr story was missing my favourite method of determining the height of the building: you find the site manager and offer him this shiny new barometer if he'll tell you the height of the building.
by PaulT
Sat Nov 17, 2007 10:52 pm UTC
Forum: Mathematics
Topic: Amusing answers to tests
Replies: 393
Views: 60530

Re: Amusing answers to tests

The guy officiating when I graduated told the Niels Bohr story in long and excruciating detail. So it must be true - he was wearing a robe! Anyhow, someone told me about a test they were marking, the question was to find the indefinite integral of 1 dx. One student, having obviously copied someone w...
by PaulT
Sun Oct 28, 2007 12:35 am UTC
Forum: Logic Puzzles
Topic: Subsets of Letters
Replies: 22
Views: 6804

Re: Subsets of Letters

Oh. I looked through them all as well to check. Darn.

Edit: on the plus side, nobody seems to have posted a solution to 10, so I guess that means I've inadvertently solved it. So:

10 (and by extenstion 28):

Spoiler:
letters that are represented by people's names in the phonetic alphabet
by PaulT
Sun Oct 28, 2007 12:15 am UTC
Forum: Logic Puzzles
Topic: Subsets of Letters
Replies: 22
Views: 6804

Re: Re:

AdrianaC wrote:
Hix wrote: #16: GJPQY (Difficulty 4/10)


Spoiler:
Letters that, when in lowercase, extend below the usual writing line (sorry, don't know how else to word it)


Spoiler:
I think the technical term for those things is 'descenders'.


Here, I'll do one:

28: CJMORV
by PaulT
Thu Oct 25, 2007 7:17 pm UTC
Forum: Logic Puzzles
Topic: "Auction" Problems
Replies: 14
Views: 2416

Re: "Auction" Problems

Well, on a first reading I don't know how to do any of them. Now they're going to annoy me for ever. Edit: I don't really understand what question 10 is asking. Edit Edit: question 11: you can take the permutation matrix corresponding to (12345)(678) which has order 15. Best I can do...
by PaulT
Thu Oct 25, 2007 9:37 am UTC
Forum: Mathematics
Topic: Your own arithmetic tricks
Replies: 57
Views: 6363

Re: Your own arithmetic tricks

I guess evilbeanfiend meant multiples of 3 which aren't multiples of 6. But then I suppose you should leave out the option that the digits recursively sum to 9 so as to also exclude multiples of 3 that are also multiples of 9.
by PaulT
Tue Aug 21, 2007 4:25 pm UTC
Forum: Logic Puzzles
Topic: Area of a Triangle!
Replies: 20
Views: 3792

Well, I don't know that it's really well known. I'm not sure I've ever been taught it. But yeah, plenty of people know about it.
by PaulT
Tue Aug 21, 2007 4:12 pm UTC
Forum: Logic Puzzles
Topic: Area of a Triangle!
Replies: 20
Views: 3792

It's well known. I had it on a pencil case once.
by PaulT
Tue Aug 21, 2007 4:04 pm UTC
Forum: Logic Puzzles
Topic: Area of a Triangle!
Replies: 20
Views: 3792

gmalivuk wrote:
Heron's Formula wrote:First let s = 1/2(a+b+c), then the area of the triangle is given by
Area = sqrt( s (s-a) (s-b) (s-c) )

Yeah. That thing.
by PaulT
Tue Aug 21, 2007 4:01 pm UTC
Forum: Logic Puzzles
Topic: Area of a Triangle!
Replies: 20
Views: 3792

Well if A B and C are just the lengths of the sides as real numbers, then the three equations are redundant since they hold for any triangle. In which case you can't say anything about the area of the triangle except for that equation for giving the area in terms of A B and C which is complicated an...
by PaulT
Tue Aug 21, 2007 3:41 pm UTC
Forum: Logic Puzzles
Topic: Area of a Triangle!
Replies: 20
Views: 3792

Clearly there's something funny going on with this question. Something is afoot.
by PaulT
Wed Aug 01, 2007 1:56 pm UTC
Forum: Mathematics
Topic: I suck at stats
Replies: 8
Views: 2253

Yeah, I was being thick back there. Well, I guess the brute-force approach is to add up the probabilities of nobody dying, of one person dying, up to of 42 people dying, and do one minus that. So it's 1 - [ 0.1^n * 0.9^(251-n) * 251Cn summed up from n=0 to 42 ] Or something. This topic makes me real...
by PaulT
Wed Aug 01, 2007 1:49 pm UTC
Forum: Mathematics
Topic: I suck at stats
Replies: 8
Views: 2253

Not enough information is there? I don't do stats either, but you'd have to assume that it kills in a normal distribution or something too, I'd have thought. Maybe that's always a given though, like I say I don't do stats.
by PaulT
Fri Jul 06, 2007 10:49 pm UTC
Forum: Serious Business
Topic: Death Penalty (You cannot "prove" a point of view)
Replies: 172
Views: 22380

But if you're only applying the death penalty in cases where there's no doubt at all, I don't see how it can possibly act as a deterrent to anything other than really sloppy murder. I mean, all anyone will have to do is conduct the murder in a way that isn't glaringly obvious and they'll be fine. A...
by PaulT
Fri Jul 06, 2007 10:16 pm UTC
Forum: Serious Business
Topic: Death Penalty (You cannot "prove" a point of view)
Replies: 172
Views: 22380

But if you're only applying the death penalty in cases where there's no doubt at all, I don't see how it can possibly act as a deterrent to anything other than really sloppy murder. I mean, all anyone will have to do is conduct the murder in a way that isn't glaringly obvious and they'll be fine. An...
by PaulT
Fri Jul 06, 2007 1:06 am UTC
Forum: Serious Business
Topic: Death Penalty (You cannot "prove" a point of view)
Replies: 172
Views: 22380

The justice system does not claim that it is perfect; that's why appeals exist. An argument that says "we shouldn't punish those found guilty of a crime with method X because they might be innocent" has the flaw of not being specific to a method; you may respond "but you cannot undo ...
by PaulT
Fri Jul 06, 2007 12:44 am UTC
Forum: Serious Business
Topic: Death Penalty (You cannot "prove" a point of view)
Replies: 172
Views: 22380

Rehab first, punishment second. Innocent people may be executed. That's no reason to abolish the entire method. What this argument doesn't allow is the fact that there are cases when we know the suspect isn't innocent. Show me doubt that Stanley Tookie Williams III did not commit the crimes he did....
by PaulT
Tue Jul 03, 2007 11:20 pm UTC
Forum: Mathematics
Topic: Sizes of infinite sets, also calculating Godel numbers
Replies: 15
Views: 3988

This Godel numbering puzzle thing is a bit of a minefield though. I mean, I did a course on Godel's Incompleteness Theorems, and we did Godel numbering completely differently to the way you seem to be doing (and the way Wikipedia mentions) with prime factorization. We did them with beta-functions an...
by PaulT
Tue Jul 03, 2007 12:39 am UTC
Forum: Mathematics
Topic: Alternate arithmetic algorithms
Replies: 41
Views: 7706

I wasn't very convinced by that video. Maybe I'm a bit of a math-hippy, but those 'crazy' algorithms seemed pretty nice to me. You don't necessarily learn much from being able to crank out the standard algorithms. I find it ironic really that the woman in that video says the word 'calculator' with s...
by PaulT
Sun Jun 17, 2007 3:19 pm UTC
Forum: Mathematics
Topic: What the crap is a Hypercube?
Replies: 23
Views: 5826

What does the question "how many parts in a hypercube" mean anyway? Depends what you mean by a 'part', surely?
by PaulT
Sat Jun 16, 2007 12:49 pm UTC
Forum: Mathematics
Topic: What's your favourite irrational number?
Replies: 78
Views: 22468

__Kit wrote:Does 0.9 reoccurring count?

Only because none of my friends understand the concept of it 8)

As an irrational number? 1? No, I don't think so.
by PaulT
Fri Jun 15, 2007 12:29 pm UTC
Forum: Mathematics
Topic: What's your favourite irrational number?
Replies: 78
Views: 22468

1 3 + ----------------------------- 1 1 + ------------------------- 1 4 + --------------------- 1 1 + ----------------- 1 5 + ------------- 1 9 + --------- 1 2 + ----- ... Which is about 3.828656 That's my favourite now too. Or maybe... 1 3 + ----------------------------- 1 8 + --------------------...

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