In my original post I was making two comments. My second comment was a reply to Dr. Molf's comment that "Godel applies to any axiomatic system". My comment was that Gödel's theorem only applies to axiom systems of a certain level of complexity.
My original point is that number theoreticians don't use axioms and don't use formal systems to get their results. Unless you can prove mathematicians are Turing machines then Gödel's result doesn't apply.
OK. I need to correct myself. There are axioms of number theory, but they really aren't used by number theorists. They are mostly of interest to set theoreticians and logicians (like Gödel). I have two number theory books on my shelf and neither of them have a list of axioms.
Number theory isn't axiomatic. I've never heard of any axioms for number theory except for Peano-style axioms for simple arithmetic. However, they aren't really used for number theory.
Gödel's theorem applies to axiomatic systems of a certain* complexity. For simple axiomatic systems Gödel's theorem doesn't apply.
* I don't think anyone has proven how complex things have to be for Gödel's theorem to apply.
CUPERTINO, Calif. and HAMBURG, Germany, July 1/PRNewswire-FirstCall/ -- Apple® (Nasdaq: AAPL - News) today announced it has acquired Emagic, a leading provider of professional software solutions for computer based music production. Emagic's most popular product, Logic, is actively used by over 200,000 musicians around the world. Emagic will operate as a wholly owned division of Apple.
"Emagic has set the industry standard for professional music creation and production," said Sina Tamaddon, Apple's senior vice president of Applications. "We're very excited to have the Emagic team join Apple and create more amazing products for musicians."
Macintosh®-based products account for over 65 percent of Emagic's current revenues. Emagic's Windows-based product offerings will be discontinued on September 30, 2002.
Apple ignited the personal computer revolution in the 1970s with the Apple II and reinvented the personal computer in the 1980s with the Macintosh. Apple is committed to bringing the best personal computing experience to students, educators, creative professionals and consumers around the world through its innovative hardware, software and Internet offerings.
This press release contains certain "forward-looking" statements within the meaning of the Private Securities Litigation Reform Act of 1995. These statements are based on management's current expectations and are subject to uncertainty and changes in circumstances. Actual results may vary materially from the expectations contained herein. The forward-looking statements contained herein include statements about the consummation of the transaction with Emagic and benefits of the pending transaction with Emagic. Factors that could cause actual results to differ materially from those described herein include the inability to obtain regulatory approvals and the inability to successfully integrate the Emagic business. Apple Computer is under no obligation to (and expressly disclaims any such obligation to) update or alter its forward-looking statements, whether as a result of new information, future events or otherwise.
NOTE TO EDITORS: For additional information visit Apple's PR website ( www.apple.com/pr/ ), or call Apple's Media Helpline at (408) 974-2042.
Apple, the Apple logo, Mac, Mac OS and Macintosh are trademarks of Apple. Other company and product names may be trademarks of their respective owners.
Stanislaw Lem has a homepage here. He's 80 years old, but he is still writing. During WW II he lived through the Soviet and German occupations. His bio is here.
Well, there is no necessary connection between sci-fi/fantasy and tech geekdom, but there tends to be a big overlap. The reason is probably that many techies are inspired by the possibilities that sci-fi explores, they don't just think about what the computers of today offer, but the possibilities of tomorrow.
Along those lines one could say that it is very important that the technologists of today aren't just thinking about what is around them now, instead they are inspired by possibilities (or even impossibilities).
I have some problems with the historical side of the article. One, I don't think Apple was that close to buying Be. They were in negotiations, but they weren't willing to pay as much as Gasse wanted because, IMHO, Be wasn't worth that much.
Second, Jobs wasn't hired as interim CEO at the time NeXT was purchased. That happened several months later when the board kicked out Amelio. Jobs was initially brought on as some sort of advisor.
In particular the software was PhotoRealistic RenderMan (PRMan). See the renderman FAQ. Also the NeXTSTEP 3D Graphics Kit, an API, was based on RenderMan.
One interesting thing to remember is that Pixar software used to run on NeXT. They probably pulled some code out of the archives as part of work on Mac OS X.
Nowadays sound is considered part of Quicktime, although it was seperate in the past. What is of issue here is how much of the OS services you use to get your "multimedia". People tend to use the OS services for sound because they don't want to go directly to hardware.
Regarding video when software developers are creating video technology for Mac OS (Microsoft Media Player, Real) they don't use QuickTime, they write their own stuff. Multimedia developers on the other hand, tend to use QuickTime.
This would be the best of all possible worlds if there were no religion in it. -- John Adams
Your John Adams quote is a bit misleading. The full quote, found here, is: Twenty times in the course of my late reading have I been on the point of breaking out, "This would be the best of all possible worlds, if there were no religion in it!"
But in this exclamation I would have been as fanatical as Bryant or Cleverly. Without religion this world would be something not fit to be mentioned in polite company, I mean hell.
As an atheist I found that quote surprising because John Adams was a very religious man. There is more about that quote here.
NEW YORK (CNN) -- The producers of the popular children's program "Sesame Street" said Thursday they are upset because protesters in Bangladesh are carrying protest posters showing the Muppet character Bert with Osama bin Laden.
The Pink project (aka Taligent) didn't really include OpenDoc. At some point Taligent announced that they were going to adopt OpenDoc, but they never adopted it seriously and it was around the end of both projects.
OpenDoc was created by Apple and then adopted by IBM, just like Pink.
In OpenDoc, data compatibility was handled by writing out common interchange data types: text, rtf, gif, jpeg, etc. This was made possible because the OpenDoc storage architecture could handle multiple data streams for a given component. A component would write out different representations of its content, high-fidelity, perhaps private, representation(s) and lower fidelity interchange representations.
Well, some of the people working as janitors, gardeners, mainentance people and construction workers might be descendants of the original inhabitants, but a good number of them are probably recent immigrants. Not that it really matters. And why do they stay in the valley? Because that's where the money is.
As for gentrification that's old news. With the dot.com slowdown the process it starting to reverse. Changing economics is just a fact of life. Some people welcomed the wealth that was brought into their neighborhoods.
One problem I had with the book was that it has too much white space and too many blank pages. The type was fairly large and the margins were big. Reminded me of those papers in college where you make adjustments with your word processor until to just make it to the 10 page length set by the professor. Although these authors were trying to get it to 450 pages.
I read both the original and the updated version. The original had some interesting pictures of a Macintosh with a 5.25 inch floppy drive. This picture doesn't show up in the new edition.
The only other problem I had with this book is the redundancy. Some of the same facts are repeated in different chapters.
What did Shannon do for humanity?
Shannon worked on crypto during WWII from the American side. He spent time with Alan Turing exchanging ideas. Just from that he made a significant contribution to the world.
He was a great scientist and an interesting man, let people be sad about the loss.
Your details are a bit off. The Alto interface, which Apple engineers saw, did allow overlapping windows. The later Xerox Star interface didn't have overlapping windows for some reason.
Another often overlooked aspect of the aquisition of Xerox ideas by Apple is the fact that a number of former Xerox people worked at Apple, both before and after Jobs and crew made their two famous trips to Xerox PARC.
The headline for this article mentions that the original article discusses how now [NeXT] has basically taken over Apple, but I couldn't find anything that discusses the "reverse takeover". How Gil Amelio brought in Steve only to have Steve kick him out. How Steve put all his lieutenants into powerful positions in the company.
One interesting aspect of the takeover is that although a lot of former-NeXT people are in power and NeXT technology will be the operating system, it is Apple technology that is currently keeping the company afloat.
Re:unused land in the silly valley
on
Is Novell Doomed?
·
· Score: 1
Novell has some buildings on that land, but they must have sold the other sections because BEA and a number of other companies now have buildings there.
Slashdot Mirror
In my original post I was making two comments. My second comment was a reply to Dr. Molf's comment that "Godel applies to any axiomatic system". My comment was that Gödel's theorem only applies to axiom systems of a certain level of complexity.
My original point is that number theoreticians don't use axioms and don't use formal systems to get their results. Unless you can prove mathematicians are Turing machines then Gödel's result doesn't apply.
OK. I need to correct myself. There are axioms of number theory, but they really aren't used by number theorists. They are mostly of interest to set theoreticians and logicians (like Gödel). I have two number theory books on my shelf and neither of them have a list of axioms.
Number theory isn't axiomatic. I've never heard of any axioms for number theory except for Peano-style axioms for simple arithmetic. However, they aren't really used for number theory.
Gödel's theorem applies to axiomatic systems of a certain* complexity. For simple axiomatic systems Gödel's theorem doesn't apply.
* I don't think anyone has proven how complex things have to be for Gödel's theorem to apply.
SOURCE: Apple Computer, Inc.
/PRNewswire-FirstCall/ -- Apple® (Nasdaq: AAPL - News) today announced it has acquired Emagic, a leading provider of professional software solutions for computer based music production. Emagic's most popular product, Logic, is actively used by over 200,000 musicians around the world. Emagic will operate as a wholly owned division of Apple.
Apple Acquires Emagic
CUPERTINO, Calif. and HAMBURG, Germany, July 1
"Emagic has set the industry standard for professional music creation and production," said Sina Tamaddon, Apple's senior vice president of Applications. "We're very excited to have the Emagic team join Apple and create more amazing products for musicians."
Macintosh®-based products account for over 65 percent of Emagic's current revenues. Emagic's Windows-based product offerings will be discontinued on September 30, 2002.
Apple ignited the personal computer revolution in the 1970s with the Apple II and reinvented the personal computer in the 1980s with the Macintosh. Apple is committed to bringing the best personal computing experience to students, educators, creative professionals and consumers around the world through its innovative hardware, software and Internet offerings.
This press release contains certain "forward-looking" statements within the meaning of the Private Securities Litigation Reform Act of 1995. These statements are based on management's current expectations and are subject to uncertainty and changes in circumstances. Actual results may vary materially from the expectations contained herein. The forward-looking statements contained herein include statements about the consummation of the transaction with Emagic and benefits of the pending transaction with Emagic. Factors that could cause actual results to differ materially from those described herein include the inability to obtain regulatory approvals and the inability to successfully integrate the Emagic business. Apple Computer is under no obligation to (and expressly disclaims any such obligation to) update or alter its forward-looking statements, whether as a result of new information, future events or otherwise.
NOTE TO EDITORS: For additional information visit Apple's PR website ( www.apple.com/pr/ ), or call Apple's Media Helpline at (408) 974-2042.
Apple, the Apple logo, Mac, Mac OS and Macintosh are trademarks of Apple. Other company and product names may be trademarks of their respective owners.
SOURCE: Apple Computer, Inc.
Look here.
Stanislaw Lem has a homepage here. He's 80 years old, but he is still writing. During WW II he lived through the Soviet and German occupations. His bio is here.
Well, there is no necessary connection between sci-fi/fantasy and tech geekdom, but there tends to be a big overlap. The reason is probably that many techies are inspired by the possibilities that sci-fi explores, they don't just think about what the computers of today offer, but the possibilities of tomorrow.
Along those lines one could say that it is very important that the technologists of today aren't just thinking about what is around them now, instead they are inspired by possibilities (or even impossibilities).
OK. My submission got rejected. Sniff.
I have some problems with the historical side of the article. One, I don't think Apple was that close to buying Be. They were in negotiations, but they weren't willing to pay as much as Gasse wanted because, IMHO, Be wasn't worth that much.
Second, Jobs wasn't hired as interim CEO at the time NeXT was purchased. That happened several months later when the board kicked out Amelio. Jobs was initially brought on as some sort of advisor.
In particular the software was PhotoRealistic RenderMan (PRMan). See the renderman FAQ. Also the NeXTSTEP 3D Graphics Kit, an API, was based on RenderMan.
Part Two of the original article is now available. I submitted a story on this, but who knows if it is going to be accepted.
One interesting thing to remember is that Pixar software used to run on NeXT. They probably pulled some code out of the archives as part of work on Mac OS X.
Nowadays sound is considered part of Quicktime, although it was seperate in the past. What is of issue here is how much of the OS services you use to get your "multimedia". People tend to use the OS services for sound because they don't want to go directly to hardware.
Regarding video when software developers are creating video technology for Mac OS (Microsoft Media Player, Real) they don't use QuickTime, they write their own stuff. Multimedia developers on the other hand, tend to use QuickTime.
No. You don't need Quicktime to do multimedia on the mac, except perhaps for sound. Anyway Macromedia would want their software to run on Windows too.
This would be the best of all possible worlds if there were no religion in it. -- John Adams
Your John Adams quote is a bit misleading. The full quote, found here, is:
Twenty times in the course of my late reading have I been on the point of breaking out, "This would be the best of all possible worlds, if there were no religion in it!"
But in this exclamation I would have been as fanatical as Bryant or Cleverly. Without religion this world would be something not fit to be mentioned in polite company, I mean hell.
As an atheist I found that quote surprising because John Adams was a very religious man. There is more about that quote here.
If you want to do stuff with iMovie, don't wait for Apple. Just do it yourself. Get a mac and a digital camera and start doing stuff.
Here is the article.
NEW YORK (CNN) -- The producers of the popular children's program "Sesame Street" said Thursday they are upset because protesters in Bangladesh are carrying protest posters showing the Muppet character Bert with Osama bin Laden.
The Pink project (aka Taligent) didn't really include OpenDoc. At some point Taligent announced that they were going to adopt OpenDoc, but they never adopted it seriously and it was around the end of both projects.
OpenDoc was created by Apple and then adopted by IBM, just like Pink.
In OpenDoc, data compatibility was handled by writing out common interchange data types: text, rtf, gif, jpeg, etc. This was made possible because the OpenDoc storage architecture could handle multiple data streams for a given component. A component would write out different representations of its content, high-fidelity, perhaps private, representation(s) and lower fidelity interchange representations.
Both the PET and the 64 are mentioned in this book along with the inventor of the microprocessor (MOS?) that went in the 64 and Apple ][.
Well, some of the people working as janitors, gardeners, mainentance people and construction workers might be descendants of the original inhabitants, but a good number of them are probably recent immigrants. Not that it really matters. And why do they stay in the valley? Because that's where the money is.
As for gentrification that's old news. With the dot.com slowdown the process it starting to reverse. Changing economics is just a fact of life. Some people welcomed the wealth that was brought into their neighborhoods.
One problem I had with the book was that it has too much white space and too many blank pages. The type was fairly large and the margins were big. Reminded me of those papers in college where you make adjustments with your word processor until to just make it to the 10 page length set by the professor. Although these authors were trying to get it to 450 pages.
I read both the original and the updated version. The original had some interesting pictures of a Macintosh with a 5.25 inch floppy drive. This picture doesn't show up in the new edition.
The only other problem I had with this book is the redundancy. Some of the same facts are repeated in different chapters.
What did Shannon do for humanity?
Shannon worked on crypto during WWII from the American side. He spent time with Alan Turing exchanging ideas. Just from that he made a significant contribution to the world.
He was a great scientist and an interesting man, let people be sad about the loss.
Your details are a bit off. The Alto interface, which Apple engineers saw, did allow overlapping windows. The later Xerox Star interface didn't have overlapping windows for some reason.
Another often overlooked aspect of the aquisition of Xerox ideas by Apple is the fact that a number of former Xerox people worked at Apple, both before and after Jobs and crew made their two famous trips to Xerox PARC.
The headline for this article mentions that the original article discusses how now [NeXT] has basically taken over Apple, but I couldn't find anything that discusses the "reverse takeover". How Gil Amelio brought in Steve only to have Steve kick him out. How Steve put all his lieutenants into powerful positions in the company.
One interesting aspect of the takeover is that although a lot of former-NeXT people are in power and NeXT technology will be the operating system, it is Apple technology that is currently keeping the company afloat.
Novell has some buildings on that land, but they must have sold the other sections because BEA and a number of other companies now have buildings there.