## Search found 765 matches

- Thu Jan 08, 2015 9:20 pm UTC
- Forum: Mathematics
- Topic: What is the biggest PWND you can get?
- Replies:
**10** - Views:
**2354**

### Re: What is the biggest PWND you can get?

Doesn't jaap's construction give as many points as you want, no three of which lie on the same circle (since all but one of them are co-linear)?

- Wed Dec 17, 2014 12:02 am UTC
- Forum: Mathematics
- Topic: Sizes of Infinity
- Replies:
**60** - Views:
**11530**

### Re: Sizes of Infinity

The "size" of the real set in [1,2] is on the order of 10 n where n is the size of the counting set. The size of the real set in [0.5,1] is necessarily half of that because one of the digits is now restricted to be >=5, eliminating half the degree of freedom. Under the "bijection&quo...

- Thu Dec 11, 2014 10:56 pm UTC
- Forum: Mathematics
- Topic: Sizes of Infinity
- Replies:
**60** - Views:
**11530**

### Re: Sizes of Infinity

0x783czar, the main issue here is that we need to nail down what we mean by "size". Size is really an abstract concept, and if we want to speak mathematically then we need to pin down this concept with a mathematical definition. The usual definition people use for the "size" of s...

- Wed Dec 03, 2014 5:48 pm UTC
- Forum: News & Articles
- Topic: The Thread To Remind Me We're Living In The Future
- Replies:
**1553** - Views:
**217803**

### Re: The Thread To Remind Me We're Living In The Future

The "bots: no lying" form of captcha has now become a reality:

http://www.pcmag.com/article2/0,2817,2473062,00.asp

http://www.pcmag.com/article2/0,2817,2473062,00.asp

- Fri Oct 24, 2014 11:08 pm UTC
- Forum: Mathematics
- Topic: Axis & Allies dice probability
- Replies:
**9** - Views:
**4939**

### Re: Axis & Allies dice probability

The chance of rolling 1,2, or 3 with no dice is .7^4

The chance of rolling 1,2, or 3 with exactly one die is (.3)(.7^3)*4

So the chance of rolling with at least two dice is 1 - .7^4 - (.3)(.7^3)*4 = .3483

The chance of rolling 1,2, or 3 with exactly one die is (.3)(.7^3)*4

So the chance of rolling with at least two dice is 1 - .7^4 - (.3)(.7^3)*4 = .3483

- Thu Oct 23, 2014 8:49 pm UTC
- Forum: Mathematics
- Topic: Non-contractible, simply connected subsets of R^n
- Replies:
**4** - Views:
**2007**

### Re: Non-contractible, simply connected subsets of R^n

I'm not sure I'm reading your notation correctly. Are you just ripping the end off the topologist's sine curve and pulling it around the circle? If so, keep in mind that at every stage of the homotopy, the image of every convergent sequence should converge to the image of its limit. For example, tak...

- Wed Oct 15, 2014 9:56 pm UTC
- Forum: Mathematics
- Topic: fooling around with points on a plane and optimization
- Replies:
**7** - Views:
**2837**

### Re: fooling around with points on a plane and optimization

It'd be interesting to see how this problem behaved in higher dimensions. For example, in three dimensions, you can have 4 points with zero error, arranged in a tetrahedron. Similarly you can put n+1 points into an n-dimensional space with zero error, but I have no idea what the minimum error become...

- Wed Oct 08, 2014 11:43 pm UTC
- Forum: News & Articles
- Topic: Microsoft to buy Mojang (aka Minecraft) for $2.5 Billion
- Replies:
**31** - Views:
**6081**

### Re: Microsoft to buy Mojang (aka Minecraft) for $2.5 Billion

Like when Google grabbed Motorola, before selling it overseas to the Chinese firm Lenovo? Google bought Motorola for $12 Billion, and sold it for $3 Billion. IE: Motorola is now worth around the same as Mojang. It's worth noting that Google sold the Motorola Home division separately to ARRIS for $2...

- Tue Oct 07, 2014 7:01 pm UTC
- Forum: News & Articles
- Topic: Same-sex marriage now legal in 24 states
- Replies:
**54** - Views:
**11668**

### Re: Same-sex marriage now legal in 24 states

The argument, as I understand it, was that even though homosexuals have/had the same right to marry someone of the opposite gender as heterosexuals do, that they are being shorted because they can only be fulfilled, or can only love someone of the same gender. Well, let's stop there, since that's c...

- Mon Oct 06, 2014 11:27 pm UTC
- Forum: News & Articles
- Topic: In other news... (humorous news items)
- Replies:
**14036** - Views:
**1920789**

### Re: In other news... (humorous news items, etc)

Yablo wrote: That's kinda like ignoring the zombies and guns in Resident Evil because they want the movie to be a romantic comedy, or ignoring the cars in Need For Speed and Gran Turismo because, damn it, those need to be westerns..

Obligatory link.

- Mon Oct 06, 2014 11:23 pm UTC
- Forum: News & Articles
- Topic: Same-sex marriage now legal in 24 states
- Replies:
**54** - Views:
**11668**

### Re: Same-sex marriage now legal in 24 states

Notice how Right, and no one was previously allowed to marry the same sex, and everyone was allowed to marry the opposite sex. Equality for everyone! Notice how this argument implicitly relies on the person's gender, which is why it was considered unconstitutional under the 14th amendment? Where in ...

- Tue Jul 22, 2014 4:19 pm UTC
- Forum: News & Articles
- Topic: Google tells music magazine to censor album covers
- Replies:
**44** - Views:
**9070**

### Re: Google tells music magazine to censor album covers

Well, it's not just protecting their brand, it's protecting their revenue stream. A lot of the advertisers who advertise with Google don't want their ads to run next to pictures of butts, and Google has chosen to keep their business (and, indirectly, provide more money for their safe-content partner...

- Thu Jul 10, 2014 4:40 pm UTC
- Forum: Gaming
- Topic: Hearthstone
- Replies:
**588** - Views:
**95950**

### Re: Hearthstone

Oh I know it's used in other games - but in pretty much every one of those games, the mechanics you get out of the second deck are far more interesting than what you would get out of replacing lands with mana crystals. If you're going to add the complexity of a second deck to your game, you should b...

- Wed Jul 09, 2014 9:15 pm UTC
- Forum: Gaming
- Topic: Hearthstone
- Replies:
**588** - Views:
**95950**

### Re: Hearthstone

I didn't mean it would be hard to *implement* in a physical game, just that it would be a pain to use. If you used a separate set of 10 cards for mana crystals, you're essentially now carrying around two decks. You'd have to be careful to keep them separate and not to accidentally shuffle a mana cry...

- Tue Jul 08, 2014 11:04 pm UTC
- Forum: Mathematics
- Topic: Bad math
- Replies:
**88** - Views:
**14811**

### Re: Bad math

Wait, too many solutions to a polynomial implies there are zero divisors? I don't think that's true... what about the quaternions, where there are like 6 solutions to x^2+1=0?

- Wed Jul 02, 2014 7:27 pm UTC
- Forum: Gaming
- Topic: Hearthstone
- Replies:
**588** - Views:
**95950**

### Re: Hearthstone

I've been playing this for a little while, and as a longtime player of Magic: The Gathering, I've gotta say I love how Hearthstone embraces the fact that it's played on a computer and not with physical cards. It drops things from Magic that don't work as well on a computer and adds things that would...

- Wed Jun 11, 2014 12:33 am UTC
- Forum: Mathematics
- Topic: Vectors without components
- Replies:
**19** - Views:
**4117**

### Re: Vectors without components

Since no one has mentioned it, I'll throw in my favorite example of a vector space that has no "obvious" basis (and indeed requires AoC to even show there is one): The real numbers as a vector space over the rationals. It's pretty tough to think of that one in terms of "coordinates&qu...

- Sun May 18, 2014 3:21 pm UTC
- Forum: News & Articles
- Topic: Google loses privacy case
- Replies:
**79** - Views:
**14792**

### Re: Google loses privacy case

There are special exceptions to the law for newspapers and other journalistic entities. Part of this ruling was that Google is not enough of a "journalistic entity" for these exceptions to apply. That's why the original paper didn't have to take down the notice but Google has to take down ...

- Thu May 15, 2014 11:52 pm UTC
- Forum: Mathematics
- Topic: Bad math
- Replies:
**88** - Views:
**14811**

### Re: Bad math

Twistar: You are correct, the induction step fails at n=2. The language gets just a bit vague at that point (of course), so it's tricky to say exactly which statement is false. You could interpret "h has the same color as the other horses" to mean all horses besides the one tha...

- Thu May 15, 2014 8:39 pm UTC
- Forum: News & Articles
- Topic: Google loses privacy case
- Replies:
**79** - Views:
**14792**

### Re: Google loses privacy case

I remember reading somewhere that Google has like 90% of the search market in Europe, so pulling out would definitely be felt. But it would be felt by Google, too, as they make huge amounts of money by showing ads to people in these countries. All in all, it would probably be easier for the EU to re...

- Thu May 15, 2014 4:55 pm UTC
- Forum: News & Articles
- Topic: Google loses privacy case
- Replies:
**79** - Views:
**14792**

### Re: Google loses privacy case

The biggest danger in my mind is that it really threatens to just plain shut search engines down. If every request needs to be looked at by a lawyer to determine whether it's legit, even Google can't afford the huge number of lawyers it would need to process the claims from everyone in the world, le...

- Wed May 14, 2014 9:59 pm UTC
- Forum: Mathematics
- Topic: Bad math
- Replies:
**88** - Views:
**14811**

### Re: Bad math

I've always liked the proof by induction that all horses are white: Theorem: For any (finite) set of horses, all of the horses are the same color. We prove this by induction on n, the size of the set of horses. Base case: n=1, obviously since there's only one horse in the set it has just one color. ...

- Tue Apr 08, 2014 9:11 pm UTC
- Forum: News & Articles
- Topic: Brendan Eich steps down as Mozilla CEO
- Replies:
**874** - Views:
**68660**

### Re: Brendan Eich steps down as Mozilla CEO

What exactly is Heisenberg advocating here? A law that would force people to continue using a product if the only thing that's changed is their perception of an employee? Or a law that prevents companies from firing an employee if that employee's employment is hurting their business? Or some way of ...

- Tue Apr 08, 2014 12:26 am UTC
- Forum: News & Articles
- Topic: US Supreme Court - Brought to you by Koch Industries
- Replies:
**84** - Views:
**10412**

### Re: US Supreme Court - Brought to you by Koch Industries

I wouldn't say dumping toxic waste chemicals into a river is an attempt to cause immediate harm either, but as more and more people do it, they damage and destroy important systems our country relies on. That's why you've got to regulate these things.

- Sat Apr 05, 2014 11:08 pm UTC
- Forum: News & Articles
- Topic: US Supreme Court - Brought to you by Koch Industries
- Replies:
**84** - Views:
**10412**

### Re: US Supreme Court - Brought to you by Koch Industries

Guys... Free speech does not mean, and never has meant, that you can say whatever you want whenever you want. You can't threaten someone, you can't slander someone, you can't conspire to commit a crime, you can't yell "fire" in a crowded theater, and you can't spend more than a certain amo...

- Tue Mar 18, 2014 5:02 pm UTC
- Forum: News & Articles
- Topic: Ukraine Crisis [New Title]
- Replies:
**891** - Views:
**137152**

### Re: Ukraine Crisis [New Title]

I think I mentioned it earlier, but the forced migrations/ethnic cleansings of the Crimean Tatars wasn't unjustified. There were constant uprisings since then; violence and hatred often breeds more violence and hatred. By the time of Stalin, sure, no Tatar had been around when they were enslaving E...

- Mon Feb 24, 2014 4:54 am UTC
- Forum: Mathematics
- Topic: Axiomatic mathematics has no foundation
- Replies:
**158** - Views:
**30290**

### Re: Axiomatic mathematics has no foundation

I just wanted to correct a misconception you seem to have - around 99% of mathematicians don't really care about the foundational crisis, other than as an interesting story. As one of my professors put it, "If ZFC is proved inconsistent tomorrow, the logicians will sort it out and replace it wi...

- Sun Feb 16, 2014 4:22 am UTC
- Forum: Mathematics
- Topic: Meta fundamental theorem.
- Replies:
**7** - Views:
**2780**

### Re: Meta fundamental theorem.

Do I need to know the fundamental theorem of fundamental theorems for the test?

- Mon Feb 10, 2014 6:10 pm UTC
- Forum: News & Articles
- Topic: In other news... (humorous news items)
- Replies:
**14036** - Views:
**1920789**

### Re: In other news... (humorous news items, etc)

I guess they could have released the giraffe in the city. No lions there. Come on, you know no giraffe will be able to hold down a city job for more than a couple months. If we followed your advice, pretty soon all our streets would be lined with panhandling, crack-addicted giraffe hobos. In other ...

- Fri Feb 07, 2014 9:43 pm UTC
- Forum: Mathematics
- Topic: Axiomatic mathematics has no foundation
- Replies:
**158** - Views:
**30290**

### Re: Axiomatic mathematics has no foundation

I agree that physics is no better founded than mathematics. My point was simply that physics doesn't claim to be well founded, whereas I was under the illusion that mathematics had loftier ideals. I even thought that mathematics might strive to reveal "universal truths". As it turns out, ...

- Fri Feb 07, 2014 7:23 pm UTC
- Forum: Mathematics
- Topic: Axiomatic mathematics has no foundation
- Replies:
**158** - Views:
**30290**

### Re: Axiomatic mathematics has no foundation

I think my issue is/was expectation. I don't expect physics to aim for lofty ideals. Physics is only relevant to the degree it can predict the universe. No matter how elegant/beautiful/compelling something is in physics - the ultimate arbiter is whether it predicts the universe accurately. "It...

- Thu Feb 06, 2014 11:22 pm UTC
- Forum: Mathematics
- Topic: Axiomatic mathematics has no foundation
- Replies:
**158** - Views:
**30290**

### Re: Axiomatic mathematics has no foundation

Because otherwise my response to "it isn't possible to state a set of axioms without first creating an axiomatic system to define the axioms" is: Who cares? This is, of course, what the refutation really boils down to. Of course math can't be shown to be some universal, perfect truth beyo...

- Thu Feb 06, 2014 9:45 pm UTC
- Forum: Mathematics
- Topic: Axiomatic mathematics has no foundation
- Replies:
**158** - Views:
**30290**

### Re: Axiomatic mathematics has no foundation

And yet, here you are, using a computer, sending millions of bits of encoded and encrypted data across the world, that is processed, routed, and translated automatically by machines, and it all works because the people who designed and built them used mathematics.

It works, bitches.

It works, bitches.

- Tue Jan 21, 2014 10:48 pm UTC
- Forum: News & Articles
- Topic: The Thread To Remind Me We're Living In The Future
- Replies:
**1553** - Views:
**217803**

### Re: The future is NOW!

I had a feeling that the idea would be that you would see them flashing, because they would be within your visual field in the contact... I got the impression that it'd be something that you might look in the mirror to check, perhaps a couple of times a day. But either could be the case. Anyway, th...

- Thu Jan 16, 2014 11:11 pm UTC
- Forum: Mathematics
- Topic: i as an Infinitely Tiered Exponent
- Replies:
**14** - Views:
**3156**

### Re: i as an Infinitely Tiered Exponent

You also have to be very careful when turning a repeated operation into a limit, *especially* if you're doing something at the end of the operation that gets "pushed out to infinity" (in your case, multiplying by i). After all, I could just as easily say: 0 = 1*0 0 = 1*1*0 0 = 1*1*1*...*0 ...

- Tue Jan 07, 2014 1:55 am UTC
- Forum: Mathematics
- Topic: Determinism and P=NP
- Replies:
**7** - Views:
**2270**

### Re: Determinism and P=NP

P and NP are defined by what abstract Turing machines can do, and their properties are deterministic and have nothing to do with physical laws. And we don't know whether they are equal. I think what you mean to do is to define computing rules that are not those of Turing machines but instead are bas...

- Fri Jan 03, 2014 10:52 pm UTC
- Forum: Mathematics
- Topic: Strange constant. Apparently useless.
- Replies:
**33** - Views:
**7697**

### Re: Strange constant. Apparently useless.

Heh, someone confused the computable numbers with the definable numbers.

- Thu Jan 02, 2014 7:29 pm UTC
- Forum: News & Articles
- Topic: In other news... (humorous news items)
- Replies:
**14036** - Views:
**1920789**

### Re: In other news... (humorous news items, etc)

Actually, dehydration is a major factor in hangovers, so taking a pill with a glass of water probably will make you feel somewhat better. Doesn't have much to do with the pill, though.

- Mon Dec 30, 2013 10:46 pm UTC
- Forum: News & Articles
- Topic: NSA tracking cell phone locations
- Replies:
**98** - Views:
**12728**

### Re: NSA tracking cell phone locations

The NSA is only authorized to do these collections in foreign countries. None of these revelations should be a concern at all to any US Citizen. I just need to respond to this. Separately from the other discussions in this thread about whether the NSA is allowed to spy on US Citizens, and about whe...

- Tue Dec 17, 2013 6:35 pm UTC
- Forum: Mathematics
- Topic: Idea for using pi approximations to get close to 1
- Replies:
**24** - Views:
**5321**

### Re: Idea for using pi approximations to get close to 1

I don't think the term "geometry" is well-defined in mathematics.