July 29, 2009

How Wolfram Alpha could change software

The upstart "computational knowledge engine" claims its results are original works, raising important questions about software and intellectual property

Don't call Wolfram Alpha a search engine. Billed by its creators at Wolfram Research as a "computational knowledge engine," Wolfram Alpha uses mathematical techniques to cross-reference myriad specialized databases, producing unique results for each query. For example, query Wolfram Alpha for "San Francisco New York elevation" and you get back a page explaining that, at 52 feet above sea level, San Francisco is 60 percent higher than New York. (The same query at Google yields links to airline ticketing sites, a review of a pilates studio in San Francisco, and a blurb about a New York burger joint.)

But that's not all that separates Wolfram Alpha from traditional search engines. Try cutting and pasting from the results page. You can't, and with good reason. According to Wolfram Alpha's terms of use, its knowledge engine is "an authoritative source of information," because "in many cases the data you are shown never existed before in exactly that way until you asked for it." Therefore, "failure to properly attribute results from Wolfram Alpha is not only a violation of [its license terms], but may also constitute academic plagiarism or a violation of copyright law."

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In other words, Wolfram Research is claiming that each page of results returned by the Wolfram Alpha engine is a unique, copyrightable work, like a report or term paper. That makes Wolfram Alpha different not just from classic search engines, but from most software. While software companies routinely retain sole ownership of their software and license it to users, Wolfram Research has taken the additional step of claiming ownership of the output of the software itself. It's a bold assertion, and one that could have significant ramifications for the software industry as a whole.

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quark gluon plasma 30-Jul-09 9:00am
Wolfram Alpha is unimpressive in its performance. For example, it can tell you approximately how many stars are in our galaxy, but not how many G2 stars (like our sun) are in the Milky Way. If you ask for annual US energy use (just over 100 quadrillion BTU's), it can't tell you. It dropped off my radar very quickly, and I predict that potential users will quickly go elsewhere.
DanFromPA 30-Jul-09 9:08am

Until this is resolved in favor of sanity, include me among the non-users. I just don't appreciate "services" provided by those who a priori consider their users to be likely criminals. This does not make the world a better place. It doesn't hurt, of course, that in my one attempt to use it it returned gibberish.

ct_gman 30-Jul-09 9:13am
Wolframs problem, whether he acknowledges it or not, is that we have a choice, and thus we can simply refuse to be bullied by his tactics of "output" copyrighting.
philosopher 30-Jul-09 9:17am
2 replies

The phrase "can't cut and paste" reflects capability, not permission. Because I could copy (ok, not actually cut) the page from Firefox and paste it into a Gmail message I was composing. No problem! In fact, the information pasted into that Gmail message including what was on the page and much more. I could also use their link to download the page in PDF form which rendered quite nicely. And of course, good old screen capture would allow copy and paste regardless of any other mechanisms present. So can definitely copy and paste foolishness. You most definitely can. (Disclaimer: I discarded that Gmail message and the PDF so I didn't actually steal their precious intellectual property.)

And what was their precious intellectual property? I asked Wolfrom Alpha "where is the north pole". And it showed me: A city in Alaksa!

Now, if I wanted cities, I would have asked for cities. And I would have expected North Pole, New York to be included in the list too. But, no, I asked for the north pole. Which is not in Alaska. In fact, it's not on any land mass, at least not a land mass that protrudes above the ocean's surface.

Google and Bing queries for "where is the north pole" resulted in vastly more useful, but far less legally restricted, responses.

My second query to Wolfram Alpha was "where is wolfram's rear end". They couldn't find it. Even using both hands, apparently. But I won't tell you their response, because it's precious and valuable copyrighted intellectual property. You'll need to ask them for yourself.

alces 30-Jul-09 12:45pm
1 reply
"My second query to Wolfram Alpha was 'where is wolfram's rear end'. They couldn't find it" You could only find the rear end if it was in a database, and it only gets in the database if you are going to sit on the copy machine and push the button. And scientists don't do that, only bored office people where the boss is on vacation do that. But taking into account that the actual piece of art (i.e. the paper shooting out) is created by a machine, which nowadays is very much digital and controlled by software, we're back at the question if software output is copyrightable (which would mean that Xerox owns the rights to my rear end??) Maybe some lawyers ought to be sitting on some copy machines to figure this one out.
DanFromPA 30-Jul-09 2:05pm
As someone who once worked for the referenced company, I would recommend that we repeat the act of photocopying our derrieres until we have left no stern untoned.
Neil McAllister 31-Jul-09 1:45pm
The cut-and-paste capability is actually a minor point, but since people have been asking about it, I'll explain further. What Wolfram Alpha does is generate all its text, tables, etc. as GIF images. Even if your answer is simple, e.g. "300 feet is 9144 centimeters," the output is a graphic, while other Web apps would normally output HTML. I interpret this behavior as a countermeasure against wholesale cut-and-pasting from Wolfram Alpha into other documents. But yes, if you Select All and paste the contents into various documents/applications, you do see the results. What you're seeing, however, are the interpolated image files, not actual text. It's still in the same generated fonts and formats that Wolfram Alpha output. Another reader pointed out that if you Select All and then paste into a text editor, such as Notepad, you also see the text. What you're seeing there is the ALT text from the IMG tags. What you cannot do, however, is get a normal text cursor and cherry-pick text from a Wolfram Alpha results page.
Gray_Hair 30-Jul-09 10:00am

While I have the greatest respect for Stephen Wolfram's intellect, I fear he may be trying to push a string uphill. The question of copyright of machine generated output does not have much legal footing footing pro or con, but it does have some. In the halcyon days of AI hype (late 80s) there were a small handful of "Commercial Expert Systems" that attempted to express such a concept (attempting to reserve copyright of output to licensor rather than licensee) in their sales contracts. I wish I could remember the details, but I do know that more than one of these became involved in litigation. It would be nice to know IF the copyright question ever became a "question before the court" in one or more of those proceedings. I doubt judges of that era would have been very supportive of the idea.

However, regardless of prior rulings, I do remember quite clearly a project in which I was involved, attempting to include such language in a Defense Contract we negotiated. The governments lawyers did not just remove the clause, they reversed the sense of the language and asserted customer (government) control of any possible copyright over the output of the system by explicitly making it inherit the classification level of the producing code.

Now, my take-away has less to do with the contract, (I mean who looks up arcane military contracts for prior art in business dealings?) than it does with the attitude of the lawyers involved. Lawyers on both sides seemed to tacitly agree that copyright for computer output was a long shot, which was why the government attorneys wrapped their assertion in the language of security classification.

Just two cents, who knows what current courts would do or what the DMCA defenders would push for.

ASwingler 30-Jul-09 10:11am
I suspect that the notion that computerised output is copyrightable by the processing-system's hardware has no validity at all. As the author points out, it's possible to copyright works produced by a computer (after all, much of the music and probably all of the books created nowadays are created on a computer), but the thing that's missing is that the person who owns the copyright is the person that INPUT the data, not the person that processed it for them. In the case of this website, I would argue that the person who submits the query is actually the owner of the result. Unless the website creates result sets on its' own and we simply read those results, I don't see how Wolfram can have any claim to the result set - without the unique input of the submitor their would have been no output.
amercer 30-Jul-09 10:34am
I'm not sure what to do with your input... Paraphrased, but copyrighted? I doubt it. But it seems the response acknowledges the input is your's. Personal favorite, ask Wolfram this: why isn't wolfram sure what to do with your input. A redundant answer is given.
BojanglesPaladin 30-Jul-09 11:39am
1 reply
"Wolfram Research has taken the additional step of claiming ownership of the output of the software itself. It's a bold assertion, and one that could have significant ramifications for the software industry as a whole." Not really, no. Not unless anyone actually grants credence to this idiocy.
Neil McAllister 31-Jul-09 1:49pm
Unfortunately, however, "anyone" in this case must include the hardworking bureaucrats of the U.S. government... ;-)
zarulla 30-Jul-09 12:06pm
Final Nail, meet Coffin.
bz8x8c 30-Jul-09 12:56pm
As with any tool, you have to know how to use it properly.

Of course, if I knew the elevation of both San Francisco and New York City, I could do my own calculation, as it's really a simple calculation. So, instead of searching on Google for the elevation of both cities at the same time, you can enter "New York City elevation" and get that answer (at the top of the page!) and repeat for "San Francisco elevation" to get that answer (again, at the top of the page!), then perform your own math if you have half a brain. Wolfram's got nothing on me there!

So, if you try to pedal a car and it goes nowhere, does that mean it's not as good as a bicycle?
rdm 30-Jul-09 1:01pm
If Wolfram is claiming copyright on search results, I think they will lose quite a bit of the sort of immunity which has granted to [for example] Google because they are simply relaying content without interpretation. I think this would be a problem, even if Wolfram's claims of creative search results do not stand up in court. Also, I think the search instigator would probably have a greater claim, than Wolfram, for at least some searches. That said, unless Wolfram makes money, I doubt most lawyers would bother with legal action.
StoneCypher 30-Jul-09 2:14pm
3 replies

Please try to keep the breathless uninformed speculation to a minimum, Mr. McAllister; you aren't a lawyer and it shows. The copyright of machine generated works has been a matter of law for more than a hundred years. Machine generated logarithm tables were published copyrighted in the 1870s. Music, film and art have been heavily dependent on machine generation, and still been copyrighted, for more than 50 years.

Ask yourself who drew Toy Story or the Final Fantasy movie, and who played the instruments in Depeche Mode or Tangerine Dream albums. Ask yourself who drew the explosions in Futurama. Ask yourself who's pitch bending your Cher and your Eiffel 65. Ask yourself who's mixing those ProTools samples on your rap albums. Ask yourself who makes those 3d stereograms or those fractal posters. Ask yourself why GIS satellite data is copyrighted.

All machine generated, several in their entirety. All copyrighted.

Copyright isn't about assuming criminality or bullying people out of using results; your frenzied mis-presentation isn't doing anyone any favors. Look how your readers are reacting. There were things released copyrighted as the results of pure machine output in the 1800s; I can't imagine how in 2009 an InfoWorld author who doesn't know that believes himself qualified to discuss "shifting" copyright law.

Please stop perambulating through a field you know nothing about. It's destructive to the minds of the people naive enough to believe your writing. (I was unable to portmanteau the words "melodrama" and "journalism" satisfactorily.)

"It's a bold assertion"

It is neither bold nor an assertion. It is a matter of fact since the US engaged the Berne conventions; they're just writing it there so that people aren't taken by surprise. To be bold is to be courageous in the face of mortal danger, from the Saxon "beald", which is why Harald the Bold wasn't named for his legal land-grabs.

Are you edited at all? I mean seriously, this wouldn't get through most highschool english classes.

DanFromPA 30-Jul-09 3:00pm
1 reply
Actually, the Autotune innovation that Cher premiered could more accurately be called "pitch unbending." But that's truly neither here nor there. By the way, "high school" is ordinarily still expressed as two words, and "English" is always capitalized. I guess that begs the question at hand, as well. To the point, the article appeared more to question the wisdom of claiming (and acting in support of the claim) copyright privileges for these particular outputs as much as their legality. Lots of things are legal, but not very wise.
StoneCypher 30-Jul-09 3:23pm
3 replies

"Actually, the Autotune innovation that Cher premiered"

Oh be quiet, please. The machine is called an AutoTuner - that's its brand name - and was released in the early 1960s, and has essentially nothing to do with Cher other than that poorly educated people like Dan will recognize what it is from her highly public performance.

"By the way, "high school" is ordinarily still expressed as two words"

Not by people who've graduated it.

"and "English" is always capitalized."

Dan, the very last thing you want is to get into a grammar fight.

"I guess that begs the question at hand, as well."

Nope. To beg the question is to make an argument wherein your final point is assumed as a foundational concept used to shore up your arguments. I haven't done that. Please do us all a favor and don't waste our time reciting the names of fallacies you don't understand.

"To the point, the article appeared more to question the wisdom of claiming (and acting in support of the claim) copyright privileges for these particular outputs as much as their legality."

Yes, I'm well aware that the article questioned the wisdom of stating a fact as a fact. That's the narcissistic stupidity I was pointing out.

You might as well question the wisdom of stating that the sky is blue.

msm1234 31-Jul-09 8:40am
Nothing like a big bowl of grumpy-pants pedantry to get my weekend off to a roaring start. Thanks.
DanFromPA 31-Jul-09 9:34am
I stand corrected on begging the question. Check out (or don't) Antares Autotune Pitch Corrector Software. Originally developed, as I recall, explicitly for Cher, and then picked up and used extensively throughout the industry. Nothing at all to do with a 1960's product called Autotuner. The wisdom I was questioning was that of making a point of any copyright claims for output by enforcing it through, presumably, presenting the results as images -- ugh. I was attempting to have a marketing, not a legal, discussion. I haven't had this much fun since graduateschool.
LionMage 31-Jul-09 6:02pm
1 reply
"By the way, "high school" is ordinarily still expressed as two words" You>Not by people who've graduated it. Oh, yes, that's a very mature bon mot. In point of fact, I checked the dictionary. Two sources, in fact. The term is still "high school" in the United States, and the adjective form is "high-school." Why you chose to argue over this is beyond me, unless you consider yourself some kind of expert on the English language who doesn't need to check facts or references... "and "English" is always capitalized." You>Dan, the very last thing you want is to get into a grammar fight. First of all, this is a matter of convention or style, not strictly grammar (though some professors will group the concepts under the grammar category), but Dan is right. The word "English" is always capitalized. In this case, it's a proper noun (the English language), so you have no choice in the matter. You> "Yes, I'm well aware that the article questioned the wisdom of stating a fact as a fact. That's the narcissistic stupidity I was pointing out." Nice distortion of both the article and someone else's characterization of it, but if I'm interpreting your deliberately contorted language properly, you're essentially saying that it is a foregone conclusion that these machine outputs are copyrightable (which you have attempted to argue with some very broken analogies), and it is not at all clear to me or to the attorneys that I have spoken to that this is the case. Yes, believe me, I have a reason to be talking to attorneys about this particular situation with Wolfram Alpha.
LionMage 31-Jul-09 6:04pm
1 reply
Well, the formatting on this was absolutely screwed up... sorry for that, folks. I am not sure how everyone else got nice line breaks and I didn't. The instructions said lines and paragraphs break automatically, but I guess that isn't 100% true?
Neil McAllister 2-Aug-09 11:31pm
1 reply
We're sorry, too. The group that handles InfoWorld's Web site programming serves several other groups at IDG, also; thus, fixes to the site don't happen as quickly as we might like them. When this particular fix might happen, I have no idea.
rcprimak 4-Aug-09 10:29pm
However, this site does support HTML Tags, which I have often used to make cleaner formatting in my Comments.
Christianhood 31-Jul-09 8:49am
1 reply
"Ask yourself who drew..." People did those things using a machine as a tool. That basically means that you can't copyright anything because people used a tool to create it.
rcprimak 4-Aug-09 10:31pm
Yeah, by that logic, using a Word Processor to write a novel would make the novel machine output. Absurd!
LionMage 31-Jul-09 5:35pm
1 reply
I'd like to see a citation on the machine-generated tables of logarithms being copyrighted. I think you'll find that the copyright is on the presentation, not on the actual logarithmic values, because facts can't be copyrighted. That's why you can't copyright a listing of prices (Best Buy got smacked down hard for trying to assert copyright on some unpublished Black Friday sale prices, and attempted to use the DMCA to take down a site listing the sale prices), and why you can't copyright the actual data in a phone book, only the formatting and presentation. Oh, and you can't copyright or patent math, but you knew that, right? Those logarithmic values themselves are facts. Anybody can recompute them trivially, either by hand or with a computing device. In the case of computer animated movies, you seem to be deliberately obfuscating authorship. To create such a film, you need human beings to design the 3D models, another set of human beings to act as virtual puppeteers to choreograph the action and set up motion paths, etc., and yet more human beings to provide foley work / sound effects, voiceover, etc. At the end of that process, you throw your models and all the ancillary data at a render farm to produce those nice, full color, high resolution frames, all of which then get written out to disk or printed to film. At no point in that process does anyone claim that the computer is somehow an author; the computer is just following a set of instructions to transform the work product of humans into a different form. The computer offers nothing novel in the process. That said, it's still not clear to me what role of authorship the Wolfram Alpha system provides. It has heuristics and other, more rigorous rules for parsing natural language, taking that graph and interpreting it into an action plan, and then culling from its vast store of data to produce some kind of transformative output. Is the machine the author? To me, it seems that the role of authorship is really the querant, because without the query, the result never would have sprang into existence. Now, if Wolfram wanted to put a paywall on Wolfram Alpha and charge people to query the system, that's fine; but instead, he's letting anyone query it, then saying if you want to cite the results anywhere, you need to attribute copyright to Wolfram. If I'm using the Mathematica workbook output from the results page, then they might have a case, because that's certainly a unique and proprietary formatting of the result. But again, the contents of that workbook wouldn't seem to be worthy of copyright protection, and I don't think even the argument that Wolfram Research "curates" the data holds much water. (Lots of companies buy map data from Navteq, and apply their own corrections, but don't make any extravagant copyright claims on a computed travel route. They only want you to credit them if you reuse their maps, which seems fishy but which most people accept as fair since the maps contain unique markup beyond what you get for free from the USGS, not to mention the corrections...) Just because a final product is "machine generated" doesn't mean that the machine is the author. In all of the cases you cited, either a corporation is the author of a fixed work, or one or more human beings are the author(s) of a work of art (e.g., motion picture). You're being intellectually disingenuous and dishonest here, and it shows. And if you want to play the "You're not a lawyer and it shows" card, you might want to also be a lawyer and, in this particular case, be a specialist in Copyright law. If you're not, then you have no right berating someone else's status as a non-lawyer. If, on the other hand, you are a lawyer, then you might do well to do a bit further research before you start making declarations as to what is or isn't machine generated, and whether the particular thing you cite is or isn't analogous to the issue at hand (i.e., Wolfram Alpha). Because all of the things you cite are all clearly not analogous to the Wolfram Alpha situation. If an animator uses software to generate an animated video, the animator is the one who created all the original work that went into the animation, and the machine only provided an algorithmic transformation of data handed to it by the artist. The copyright holder on the final output is the animator, not the guy who wrote the rendering software. If Wolfram Alpha generates some output based on a query I provide, then I have a reasonable expectation to have some claim of ownership over the results; at best, I could see citing the sources of the data that Wolfram Alpha relies upon, but not Wolfram Research, unless they themselves were the source of some information. But, oh right, facts themselves aren't copyrightable. So all we have left is formatting and presentation again. And by the way, "highschool" is not a word. I, too, can be a pedantic jerk when it comes to English. According to Random House and American Heritage (the sources I was able to check readily), the term is "high school," or "high-school" if you want to use it as an adjective. Yes, I saw you slam someone else in a parallel thread for that, but you were both factually wrong and thoroughly immature with your "those of us who have graduated" comeback. So, from an MIT graduate, a piece of unsolicited advice: Grow up.
rcprimak 4-Aug-09 10:33pm
1 reply
Again, may I suggest HTML tags ("" and "

" for starters) to clean up the formatting of longer comments?

rcprimak 4-Aug-09 10:35pm
Let's try that again. Slash-p and p (in brackets) for those HTML Tags.
drinksoymilk 30-Jul-09 2:50pm
"Of course, these are all questions for the lawyers." So, why bore us with two paragraphs of conjecture leading up to this question??? I just viewed the first page of the book. What could have been stated in one sentence (or tweet), "Applying traditional mathematical theory to all problems is incorrect." takes up an entire page. Yes, I can see how Wolfram came up with 2,200+ pages!
Not an IP lawyer 31-Jul-09 6:35am
Given that the software is transforming other documents, the most that he could claim is a copyright to a derivative work. In order for him to legally use (e.g., display the results on your computer) other work to create a derivative work he must have a license to create derivative works from the original source's copyright holder. The original source can be - public domain - copyrighted, with a license granted to him to create derivative works for commercial use - copyrighted, with a license granted to create derivative works for non-commercial use - copyrighted, with an open source license requiring that derivative works carry the same license - copyrighted, with no license granted to create derivative works. It is hard to imagine that he would be granted license to create derivative works without compensation for all of the interesting stuff on the internet. The other search engines don't have this problem because they aren't creating their own derivative work - they are providing a link to the original work. The gmail example is relevant - the person who wrote the email has the copyright to the content and always will. Google may have a copyright to the way that it looks, but if the copyright holder has granted a license to you to use the email then you have the right to copy it from the gmail screen and paste it somewhere else and do whatever you want with it. You would not have the right to take a screen shot and use the screen shot any way that you liked because it contains content owned by Google. (You would have certain fair-use rights to a screen shot.)
cubeboy 31-Jul-09 11:29am
2 replies
I think it's highly ironic that Wolfram makes such a fuss about copyrighting the output of his program, considering that his book "A New Kind of Science" (how arrogant can you get?) is widely criticized for using the ideas of many other people without giving them credit. This is colloquially known as "stealing", Dr. W. A colossal ego is a joy forever ...
calmansi 2-Aug-09 7:01am
Highly ironic, sure, but the irony could well be voluntary. Wolfram Alpha also does simple arithmetic operations - http://www79.wolframalpha.com/input/?i=2x2 is the result for 2x2. Imagine school kids having to add "source: Wolfram Alpha" after each item when they recite multiplication tables. Zanier than Ionesco's "The Lesson" (1)? That's probably Wolfram's point: showing ad absurdum what happens when folks still mistake search engines for people. And there are folks, not in padded cells but freely roaming, who claim that the algorithms that power Google News are "stealing their intellectual property"... (1) See http://www.drama21c.net/writers/ionesco/lessontxt-e.htm
Neil McAllister 2-Aug-09 11:44pm
I have a copy of Wolfram's book on my desk here. The copyright page includes the following text: "The author, copyright holder, and publisher [all Wolfram himself - NM.] wish to encourage further development of the science in this book, while maintaining its intellectual integrity [?? -NM.] and preserving the value of their substantial creative and financial investments through the maintenance of appropriate legal and other rights. Discoveries and ideas introduced in this book, whether presented at length or not [Define "at length" -NM.], and the legal rights and goodwill associated with them, represent valuable property of Stephen Wolfram, LLC, and when they or work based on them is described or presented, whether for scholarly purposes or otherwise, appropriate attribution should be given. For purposes of scholarly citation this book is a primary source, and should be cited accordingly. Individual verbatim quotations of up to twenty lines of plain text may be made for scholarly purposes if this book is clearly identified and cited..." And it goes on. This is roughly the same kind of language Wolfram applies to the Terms of Use of Wolfram Alpha. He seems convinced that the combined scholarship of the rest of the world exists for no other purpose than to steal ideas from Stephen Wolfram the instant he should deign to put them to paper (or Web site). This, despite his own contempt for the work of others, which you mention. He is a strange bird, this Wolfram. Incidentally, I for one found his book absolutely unreadable. 1,200 pages of pure self-aggrandizement and almost nothing that even remotely resembles "science."
MadMagician 3-Aug-09 12:03pm
1 reply
It's true that small companies reflect their founder's personality. I used to administer Mathematica licenses, and this is entirely typical behavior of Wolfram.
JustAUser 6-Aug-09 8:22am

Having used Mathematica during grad school and for a short time at work, I would certainly agree that the absurdity described by Mr. McAllister is entirely typical of Wolfram. After I discovered Waterloo Maple, a much more user-friendly equivalent tool, I left Mathematica behind.

BigRonG 5-Aug-09 4:54am
Let me get this straight. Wolfram wants the credit for creating child porn if the query includes such? Or for being a terrorist if the query would access those sites? It should make for interesting cases.
rcprimak 5-Aug-09 2:04pm
1 reply
If you don't like the Terms, don't use the Service. It's as simple as that. I tried Wolfram on the advice of a friend, and was not impressed with the results I got. It isn't even as good as Bing. And don't get me started about Dr. Wolfram's imperious attitude -- this is the sort of professor I sometimes had in College. I graduated in spite of those professors, not because of them. They are simply not the Gift To Humanity they seem to think they are.
calmansi 6-Aug-09 12:21am
It's not as simple as that. Take the "San Francisco New York elevation" example in this article. Say a student found the data (facts) and did the calculations on his/her own. How could s/he prove that s/he did not get the results by using Wolfram Alpha, which also provides them? And viceversa if a student did use Wolfram Alpha for that, then copied the results from the PDF, how could a teacher prove that s/he did not find the data and make the calculations her/himself?
Sure, copyright only applies to texts "in a tangible form", which includes also on a web server. So in theory you could check the Wolfram Alpha logs to see if a given question has already been asked and answered by WA. But say a teacher sets a water tap and leaking bath tub problem and one student uses WA. Will all the students who have not used WA be violating WA's copyright because they gave an answer which had already be given by WA "in tangible form"? Now that I have asked WA how much is 2x2 and that the result is in tangible form in http://www79.wolframalpha.com/input/?i=2x2 , should everybody stating that 2x2=4 acknowledge WA as a source?
That's why I think that Stephen Wolfram is having a little ad absurdum joke on copyright fundamentalists in WA's Terms of Use. Because it is unlikely that he was unaware of the above paradoxes. And someone who'd really think he can copyright all the mathematical and arithmetical operations that can be done by WA would probably be in a mental institution.

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