skysight-inc/HackerNews huggingface dataset:
Calculus is pretty tough without infinity. Most of the theory behind fluid dynamics is pretty tough without infinity.

Not knowing that there is an unlimited number of numbers becomes a problem. Trying to do any math without allowing that between any two numbers there's another number is pretty difficult.

There are people who derive a mathematics without the axiom of infinity, but it's weird, distorted, unnatural and doesn't turn out to be as useful as often as the regular variety of math.

Feel free not to believe. Just don't expect to do much advanced math.

Oh, and if you use proof techniques in programming, such as loop invariants or transformation theory, you are using infinity, you just didn't realise it.
I don't believe in infinity. And most probably the reason is because it doesn't exist.

How about the number three? Does it exist? Or the square root of 2? I can't touch it, that's for sure.

People don't want infinity per se. We want a number system where you can do nice things to numbers and get out other numbers... and have nice theorems like "a continuous graph that goes from negative to positive must cross the zero line somewhere"... and then it turns out that the number system that fulfills our need consists of infinite sequences of digits, and finite sequences won't suffice.
Metaprogramming using Scheme
Etihad Airways
Not really; pigs in particular have been bred to contain much, much less fat and more muscle than what is typical in wild boars and ancient pig breeds. The relatively rare mangalitsa hog is a perfect example of a fatty breed. Although I note that this preference of lean pigs started only in the 20th century with the anti-fat craze and the advent of vegetable oil production.
If facebook failed, what stocks will be affected?
Consider the situation where facebook ended up like any of the number of social websites and failing. What stocks will go up and what stocks will go down?
Would it even have any impact on investors like microsoft[microsoft invested 240m in facebook-http://www.msnbc.msn.com/id/21458486/]?
Microsoft Advertising Exec Goes A(w)OL
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Does anybody that has used both have an idea of how this compares to the Ubuntu Notebook Remix default UI?

I've been using it on a small acer netbook with a 3G card in it and it has worked pretty well in that configuration for me, I'm curious how they compare but I'm loathe to install stuff on it without some idea of what I'm getting in to because it is a machine I rely on in emergencies (on the road, server down).
Yes, the top of that screenshot looks messy. If they are moving in this direction, they could also get rid of the top panel. Or at least redesign it.

I have been working in a similar desktop on my wide-screen laptop for nearly a year now. I feel much more productive. It took me some time and skills to configure it, but the tools are already available. I use Openbox+Tint2+Conky and some other lightweight utilities. Also Tree Style Tab extension for Firefox:
https://addons.mozilla.org/en-US/firefox/addon/5890
Since they are talking about getting users to the browser faster, they may as well tweak the browser to work better in this environment.

It is more natural when window/tab hierarchy flows from left to right, than from left and then from top.
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Yes, for example unrefined pure granulated sugar has about half the glycemic index of white pure granulated sugar. Lots of places around the world use it (often called jaggeree or jaggery) in all kinds of cooking and they often use it so unrefined you have to boil it and skim off the impurities before adding it to the food.

It might be possible to suggest that it is not in the interest of large corporations to have it known that doing nothing with food is better for you than having them do things to it and then sell it on for a decent markup. If you were to believe that we live in societies where Governments treat corporate interest ahead of that of their general population of course.
I was just teaching a class on this topic (Hilbert's Hotel, and the cardinality of infinite sets) to a group of elementary-age learners last Saturday morning. These ideas have a lot of appeal, and if young learners find out early that infinity is not a number, but is a very deep concept, they can gain a lot of motivation for thorough study of math.
In Mobile Age, Sound Quality Steps Back
David Hilbert's response:

"No one shall expel us from the Paradise that Cantor has created."

http://en.wikipedia.org/wiki/Georg_Cantor
Dock on the left, title bar and sys tray at the top, window controls on the left side... this vaguely reminds me of some other OS, and I don't think that's at all a bad thing. People like OS X's UI. It makes sense to go with what works.

If they wanted to save more vertical screen real estate, Ubuntu could take another hint from Apple and enable Global Menu Bar by default ( http://code.google.com/p/gnome2-globalmenu/ )
Two mostly factual items:

- E-ink readers seem to be coming down in price - Borders will be selling the 6 inch Kobo for 150 USD ( http://news.ycombinator.com/item?id=1328438 ). There are also various recent, cheaper, models with 5-inch e-ink screens, but same 800x600 pixels, which I think will do fine for fiction.

- Elsewhere in these comments, jacoblyles said "I really can't wait until someone releases an eInk reader that can handle academic books and PDFs". In my opinion, the 10-inch e-ink readers do an acceptable job. I have a KindleDX, and PDFs of books, papers and theses can be read sequentially fine. Skipping around and jotting annotations are not so convenient ...

Handy overview of devices: http://wiki.mobileread.com/wiki/E-book_Reader_Matrix
+ many to what is written above, except the issue with acidity, which is as of now an excessively dubious hypothesis, see:

http://www.imminst.org/forum/Acid-base-hypothesis-t40269.htm...

Also, I shall point out that oat is a glaring exception to the grain rule; it has NO gluten and lectin, it has a relatively mild impact on blood sugar and has a lot of fiber, with special mention of beta-glucan, an immunoprotectant, anti-cancer and blood sugar regulating fiber. However, make sure that it is plain rolled oats, steel-cut oats or oat bran; Cheerios is not a towering source of oat.
You can now make Gantt charts with Preceden
well the prevailing view of cosmologists is pretty much all we have on that..
I think that your insight, while simple, is profound. Yes, I think it's the mind state, to a large degree.

With that insight, what does a teacher have to do? She has to find a way to change their minds. She has to make it feel interesting also to them, and most of all inspire them. She has to be a leader for that class, in an exploration of the world.

Anytime a student asks why (anytime! In any context) that's an opportunity to take that student, and her question, seriously. Have a discussion on why, the reasons, perhaps the history of the subject matter.

Create a special environment. Let the student's know that even if the rest of the school is boring, with teachers that just don't understand or seem grey and dull, this is not that, it's different. Spark curiosity.

Don't argue with those who say they're not interested, cater to those who are, and make it easy to join in.

But most of all, take the children seriously, create a culture of trust in the class, and read the six lesson school teacher by John Gatto: http://www.cantrip.org/gatto.html
Sorry for the confusion. I meant infinity, not the limit of infinity.

I have no problem with the concept of infinity in terms of limits, but that's not what this article is about. It's about the concept of infinity itself. And that is what I disagree with.
"Refined" is actually only a heuristic in regards to carbs, not an all by itself meaningful distinguishing feature. Refined carbs that are bad are bad for reasons having little to do with being refined; there are also thoroughly refined foods that are harmless.

Potato in particular is bad because it is a concentrated source of very high GI starch,
I'll repeat what I said above here:

I meant infinity, not the limit of infinity.

I have no problem with the concept of infinity in terms of limits, but that's not what this article is about. It's about the concept of infinity itself. And that is what I disagree with.
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Sucrose is what you speak of; sugar is a general term used to cover a variety of molecules. Sucrose though is often referred to as table sugar.
That seems to make the case for not needing such a large machine to do the delete since you're being rate limited. Was your delete CPU intensive? What setup did you use?
Because, to me at least, it sounds like crap.
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I'd go with... try teaching something different that has a real impact on their lives and work from there.

In reality... a lot of people will forget what they were taught in school. They really do not care about education as presented by school. And it might shock some, but yes - they will never need any of their school knowledge per se and you can live a happy life without being able to read. If you'd like to make a difference: it doesn't matter if those 20% can pass any maths exam; it matters if they can read their electricity bill and bank statement.

An old joke comes to mind: "- 5*5? ; - I don't know ; - If you steal 5 pounds of lunch money from 5 other students, how much do you have? ; - 25 pounds!"
The Wikipedia article

http://en.wikipedia.org/wiki/Hilbert%27s_paradox_of_the_Gran...

relates one method of numbering passengers on the buses to count them (which I found in another source,

http://faculty.cua.edu/glenn/187f09/hilbert_hotel.pdf

which I used to teach my elementary-age class last Saturday the same trick), which shows that countably infinite buses with countably infinite passengers in each bus can still be accommodated by Hilbert's Hotel, even if all rooms are occupied when the buses arrive.
Don't Throw the Baby out with the Bath Water
An issue that is just as great as that ^ is that fructose is a glycating agent potentially reaching high concentrations is the liver, causing direct damage to it, elevating liver enzymes and contributing to non-alcoholic fatty liver syndrome.

http://wholehealthsource.blogspot.com/search/label/liver
There are not only different sizes of infinity, as this article is trying to show, but also different types of infinity?

In fact, I'm coming to believe that the usual methods of teaching infinity are wrong (not the concepts, just the presentation).

People have this intuition that there can't be anything bigger than infinity. We reinforce that by showing that the rationals are countable, that Q^2 is countable, in fact Q^n is countable. Even the algebraics are countable. We create the intuition that anything infinite is countable.

Then we present 2^N and everything goes bizarre. Some people like that, but others decide that it's all meaningless. I think this method of presentation does the majority of people a disservice.

But not only is there the set-theoretic infinity, there is also the geometric infinity. That actually better matches people's intuition. Separating the ideas of the set theoretic and the geometric versions of infinity has, I'm finding, huge benefits when trying to help people understand what's going on.

Of course, there's also cardinal versus ordinal infinities as well. That's fun.
Leave it - this is the way it needs to be
I didn't down-vote you, by the way, even though I think you are mis-guided, and probably have been badly taught. From other things you've said I think you could, if it were presented well, find the whole topic intriguing.

Because, in part, you can't have the one without the other. You can't talk about limits without having a model for infinity. They are inextricably entwined, each idea leading to the other.

It's sounds to me like you've simply been put off by loads of badly written Pop-Math articles that attempt to boggle and astound, without showing the real truths as to why the whole subject is really, really cool, and simultaneously, useful and practical.
More detailed answer:

There is no correlation with what you about to teach them and their happiness.
Wall Street should give priority for investors over traders.
I think this is the beginning of the new generation of project management tools that focus on communication instead of planning and reporting.
Whose fault is it?
Why I love the web.
> but i want to ask you to consider something without any incredulity about my seriousness:

Ok, that's fine with me.

> if you had not been born, you would not be bothered by not existing. and when eventually your parents die, they would no longer be bothered by not having had children.

That's a statement, not a question.
Interesting.

what sizes of computer monitors are you talking about ?

Doesn't latency sensitive applications use short packets , so the difference in latency from the connection is small relative to the total path ?
http://news.ycombinator.com/item?id=1334034

Whole wheat, now matter how "unrefined" it is, is still an extremely crap food. You get a bit more minerals and proteins, but get more harmful phytates along with it. In general, it is like adding an ounce of quality wine to a barrel of sewage to beef it up, but the endproduct remains pretty much sewage.

"Refined" is not the word we're looking for, we're looking for specific compositions and chemicals that pose risks to our health. Much like the natural/unnatural dichotomy refinedness provides almost zero explaining power in regards to the normative question of what is good for you.
I think the biggest reason why absorbing new knowledge quickly is a must when you are a programmer is that you are working for other people to be more productive in what they already know how to do, and if you can't understand their 'domain specific knowledge' as they try to impart it to you then you will have a hard time implementing something that will make them happy.
http://www.quackwatch.org/01QuackeryRelatedTopics/holisticde...
The only thing that I would miss from Pivotal is velocity-tracking.
I have no problem conceding that. Do you have anything I could read that might enlighten me on this?
http://www.sciencebasedmedicine.org/?p=385
I'd suggest not lowering exam standards year on year as well as allowing respected qualifications like GCSEs to be replaced with vocational GNVQs or similar.

Also what's very important is a work environment conducive towards learning at school and at home.
I think it's because Facebook opened a "backdoor" to our information. Let's say I have my employer listed on my profile and my profile set to friends only. If Joe Random goes to my page, it's private, all good. But if the same person goes to my employer's public page, then they'll see my name listed there.

Now you might say, what's the problem, they'd already have to know to find you there. But what if they're just speculatively looking for someone from that company for a social engineering attack? Or worse, a real-world attack, for anyone who works for any "controversial" company - say an energy company, or a bank, or in pharma, or... Well there'll be someone with a grievance against them, no matter what it is.

That's why I've deleted all of that now, which a) makes FB less useful for me and b) makes me a less valuable set of eyeballs to show ads to. It's lose-lose. And even my non-tech friends are cottoning onto this - everyone knows that you can Google someone, this is only different because there's no single interface to search it... Yet.
Simple advice which can help break down perceived cost/difficulty barriers of usability testing is very important.

I like.
Separating the ideas of the set theoretic and the geometric versions of infinity has, I'm finding, huge benefits when trying to help people understand what's going on.

Expand on that please, so I can make sure I understand what you are writing here.
How about yourself gaining an understanding of facts and statistics and not presenting the findings of a study as you did when it suggests that 17% of UK school leavers are functionally innumerate (limited to “very basic competence in maths, mainly limited to arithmetical computations and some ability to comprehend and use other forms of mathematical information”) and 22% are functionally illiterate (i.e. have "less than the functional literacy needed to partake fully in employment, family life and citizenship and to enjoy reading for its own sake"). NOR for that matter does it suggest that 20% are both illiterate AND innumerate. There may be some overlap but instinctively I'd guess that the % of people that are both is significantly below 20%.

For me this is a prime example of the real failings of our educational system - school leavers have completely deficient bullshit-radars, zero healthy skepticism, and a complete inability to spot false inferences. Coupled with a total reticence to go to the source of so-called 'facts'.

The worst thing is that our media (which, in this day and age, you are now part of, in broadcasting these findings) is amongst the worst culprit (and thus in my eyes, most educationally deficient), as are our politicians (save for a few brave souls like Dr Evan Harris, sadly voted OUT of his seat as an Oxford MP last week), who even if they aren't, are slaves to the media in any case.
Just wondering, is she stuck to the British classroom, and how flexible are the rules for what happens in the British classroom? What if the traditional system simply doesn't work at all? How do alternative school systems like Montessori compare?
One problem with any new technology is that the 'get rich quick' crowd and their marketeers will jump on it to avoid missing the next possibility to easy riches. They'll over-hype the product, create unrealistic expectations and move on to the next hot thing when they've given it a bad name.

Modern day locusts is what they are.
It would have been better if it didn't read like an infomercial.
Wasn't there a blog post by someone within the last few weeks re: some sort of "hacker workout schedule" involving x pushups, y crunches and z something else?

That looked intriguing to me, but I forget where it was.
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Placing out of a boringly paced class into a different boringly paced class doesn't help.

True, as I discovered after my grade skip from fifth grade to seventh grade. That's why my involvement in nonprofit organizations is all about finding better curricula for gifted learners, even if I have to write the curricula myself.
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(Apologies to any Zen Buddhists from Southern California. "Southern Californian branch" was meant as a slightly-snarky term for "Relaxation exercises for busy people, marketed as Zen Buddhism")
He claims to need to delete "billions of objects": http://one.valeski.org/2010/03/amazon-s3-file-deletion-fail....

Would it be naive of me to assume that no single person/company is making up a few percentage points of all S3 objects?
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Agreed (I use ubuntu too), but normal users won't do this. Surely there must be a good solution by default?
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Give them the internet and a problem to get to the bottom of - then back off unless they have a question. And if they're not interested in your task, give them some other problem to investigate. Just because one child doesn't care about writing a Freedom of Information request to a public authority (even if it's to ask how much their teacher gets paid, their MP spends on expenses, time coppers spend filling in forms, times the local power station has been reported for environmental infractions, or whatever) then find something else they would - maybe it's looking up new techniques for computer graphics - introduce them to modelling and show them how maths plays a role in that. Or show kids the stock market. Get them to read up about how rich people avoid paying taxes. Whatever.

Just make them feel confident, once they find a direction. Don't forget to round them out, and teach them to be balanced, skeptical and sustainable. Teach them to make parallels between systems - e.g. a balanced ecosystem is resilient to change and challenge, so too is a balanced education, a balanced portfolio, a balanced diet, a balanced peer group, and a balanced political sphere.

The idea that we can ram 'knowledge' down young throats through rote learning, and get anything useful out of the end product, is NONSENSE.
Have a browse through the table of contents of the International Journal and you might get the same impression as me.

http://www.oldcitypublishing.com/IJUC/IJUC.html

Basically it is too unconventional (chemical), faddy and not focussed on producing something usable by the average geek.

That sort of stuff is still interesting (for computing in odd situations) but is not what I am looking for. I suppose I wondering why there isn't the computer equivalent of a space elevator. That is something most people know about that can't be done with current tech but is physically plausible (but might still might be too hard to do). Something that might spark the equivalent of the spaceward foundation, but for computers.

The fleet architecture represents a different face of unconventional computing. One that geeks can get behind. However it concentrates on speed of processing. Looking at the costs of computing, increasing computational power per watt or flops is useful but does not address the dominant cost of owning and running a computer. The dominant costs, I think, are the costs of learning the system, administering them and programming them. This is not addressed by either of the above threads of research.

I have my own odd-ball ideas. Which I'm excited about. I just wanted to gauge opinion of HN type people.
The detection of duplicate URLs could be improved, for example removing trailing # like in

http://news.ycombinator.com/item?id=1329998
http://news.ycombinator.com/item?id=1329090
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