User talk:Freenaulij
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[edit] Welcome
Welcome to WikiProject Chess and thanks for your work on Man vs Machine World Team Championship and related articles. Your work to make sure that these tournaments are mentioned in the participants articles is a very good idea. I and others have been trying to add these sorts of back-links to articles in Category:Chess national championships and others where appropriate. Quale 05:56, 7 November 2007 (UTC)
[edit] Welcome to the Orphanage
Welcome! Thanks for joining The Orphanage. As we're a new project, we need all the help we can get! De-orphaning articles can be tricky, so please drop me a line if you would like any help =) Lex Kitten 22:35, 8 November 2007 (UTC)
[edit] Image source problem with Image:PanoramaFall07.jpg
Thanks for uploading Image:PanoramaFall07.jpg. I noticed that the file's description page currently doesn't specify who created the content, so the copyright status is unclear. If you did not create this file yourself, you will need to specify the owner of the copyright. If you obtained it from a website, then a link to the website from which it was taken, together with a restatement of that website's terms of use of its content, is usually sufficient information. However, if the copyright holder is different from the website's publisher, their copyright should also be acknowledged.
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[edit] Welcome to WikiProject Catholicism!
Hello, Freenaulij, and welcome to Wikiproject Catholicism! Thank you for your generous offer to help
contribute. I'm sure your input will be much appreciated. I hope you enjoy contributing here and being a Catholic Project Wikipedian! If you have any questions, feel free to discuss anything on the project talk page, or to leave a message on my own talk page. Please remember to sign all your comments, and be bold with your edits. Again, welcome, and happy editing! --Thw1309 08:59, 14 November 2007 (UTC)
[edit] Division by zero
Hi, I've commented at Talk:Division by zero#Division by Zero. -- Meni Rosenfeld (talk) 08:59, 4 December 2007 (UTC)
- I have a few comments as well. When mathematicians say "proof", they mean that a certain well-defined proposition is justified by an argument that shows that the way the concepts involved have been defined makes it necessary that the proposition is true. Therefore, a mathematician would not regard your calculations as "proofs": you want to demonstrate that 1/0=infinity, but you have not defined infinity, nor what division means. What you do is you make a calculation using ordinary rules of algebra. But how do you know that these rules are valid? They have been checked under the condition that the variables range over real numbers, but if you divide by zero we can certainly not deal with real numbers and division in the ordinary sense. So you are left with the mission: you must define what division means, what infinity means, et cetera; then checking that the rules are still valid with these new definitions. Finally, you can try to prove 1/0=infinity, using the checked rules.
- I think you describe nicely why it is annoying that people continue to state that it is impossible to divide by zero: we have heard that kind of statements before. On the other hand, it is fairly annoying also that other people continue to state that it is indeed possible. We have to agree on the sense in which it is possible or impossible. As Meni Rosenfeld say, it is clear that it is impossible to introduce division by zero and still maintaining all algebraic properties of the real or complex number fields. On the other hand, we had to give up rules before as well. When adding 0 to the positive integers, we had to give up the rule , when we added negative numbers we had to give up the rule , when we added imaginary numbers we had to give up the rule , et cetera. So isn't it possible to give up some rule, learn to live with that, and begin dividing by zero (using a different notion of division of course, like we had to change the notion of subtraction when passing to negative numbers)? Well, I did that once, in my first mathematical paper. It worked, but the suggestion is that we give up a lot, so it might very well be too high a price to pay. You can have a quick look at Wheel theory, where some of this is described. One example of a wheel is similar to your experiments on lines through the origin. If you pick any point (x,y) in the plane it defines a line through the origin, unless (x,y)=(0,0), when it defines only a point. If we identify points that define the same lines, and write (x:y) for such classes of points, so that e.g. (1:2)=(2:4)=(1.5:3), we can define addition by (a:b)+(c:d)=(ad+bc:bd), multiplication by (a:b)(c:d)=(ac:bd), negation by (a:b)=(-a:b), inversion by /(a:b)=(b:a). We can also identify every real number r with (r:1). In particular, 0=(0:1), 1=(1:1). We also define infinity to be (1:0). In particular, 1/0 means (1:1)/(0:1)=(1:0), which is infinity. Now this structure is a wheel, which means that the algebraic rules of wheel theory are valid. Jesper Carlstrom 09:34, 4 December 2007 (UTC)
[edit] Notability of The Woodlands College Park Band
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[edit] Unified orphan/de-orphan process
You might be interested in this discussion.--Aervanath's signature is boring 22:24, 24 May 2008 (UTC)