The result was DELETE. Larry V ( talk | contribs) 11:49, 15 December 2006 (UTC) reply
Rather on the edge theory, seems to be the work of a single group with some confrence publications, but few citations. Chief author covered by BBC and slashdot. Salix alba ( talk) 20:21, 7 December 2006 (UTC) reply
Statement: I did not initiate, nor induce anyone to initiate, any article currently on Wikipedia. My talk page shows that I initiated an article to explain more about transreal numbers, but this was deleted because it was deemed to be a neologism. I have no view on whether or not the articles describing me or my research should be kept. I regard that as a matter for the Wikipedia community, which initiated these articles, to decide.
Facts: My B.Sc. is in Experimental Psychology from Sussex University, England, and was awarded in 1980. My Ph.D. is from Reading University, England. The title of my Ph.D., awarded in 1992, is “Canonical Description of the Perspective Transformations.” All of my scientific papers were peer reviewed. Recent controversy sprang from an open day I attended at Highdown School, Berkshire. My talk was reported on BBC Radio Berkshire, BBC South Today (regional TV news), and BBC News 24 (Satellite TV). BBC Radio Berkshire is to allow me to reply to my critics on a radio show. The BBC intends to invite a professional mathematician to assist the radio presenter. I have forwarded to the BBC my papers showing how transreal arithmetic is performed as operations on fractions and axiomatically, as well as how transreal arithmetic extends to analysis. There are more papers on my personal web site that could be used to bolster claims in the various articles relating to me and my work.
The perspex machine and transreal arithmetic has been simulated in software which is available on my personal web site. A version of the perspex machine has been implemented in FPGA. All of these versions implement digital and, therefore, Turing computable approximations to the machine and the arithmetic.
The Transreal number article contains a number of historical inaccuracies and misinterpretations of my work, but is very much better informed than most commentary I have seen. If the article is kept I could contribute corrections to its talk page or direct to the article. Given the controversy this has provoked I am inclined to contribute to the talk page if the article is kept. James A.D.W. Anderson 14:53, 10 December 2006 (UTC) reply
The work on transreal arithmetic, of which nullity forms a part, has been proved consistent by machine proof. This work was undertaken by an independent researcher at a different university from my own. And the machine proof has been examined at a third university. All agree that transreal arithmetic is consistent and contains real arithmetic as a proper subset.
All of my scientific papers are available in paper form from the relevant copyright libraries and, in many cases, from the electronic databases of the publishing organisations. The papers that are on my web site are only a subset of the papers I have written – specifically, the subset for which I have copyright permission to reproduce. The copyright policies of many journals prevent self publication so the papers that appear on an author’s web site are necessarily skewed. This bias may disappear as electronic publishing takes hold -- but it is a bias that Wikipedians may profitably be aware of.
In my, self-interested, view, my papers have been reviewed to the appropriate standards for my subject area. If you accept this, then the relevant test to apply is whether the material is sufficiently noteworthy, or sufficiently well accepted in society at large, to appear in Wikipedia.
Wikepedians are, I am sure, familiar with the concept of flaming. Since the recent publicity surrounding my work I have been flamed in a number of electronic fora. But I have now received a handful of apologies from people after they have read my papers on transreal arithmetic. None of the hundred or so counter-proofs I have seen to my work are valid, except one, which exposed an error in the guarding clause of equation ten in the analysis paper. This error does not affect the validity of any of the material publicised in the media. Indeed, before making the public presentation, I had obtained a second proof of the 0^0 result using the transreal exponential and logarithm: 0^0 = e^(ln 0^0) = e^(0 ln 0) = e^(0 * -infinity) = e^nullity = nullity.) I invite you to consider whether this is consistent with your (informal) view of the exponential function at these extremes, and then reflect on whether it is valuable to have a total and consistent arithmetic. As a computer scientist I can tell you, for example, that a total and consistent arithmetic guarantees that all functions are differentiable, though I, personally, cannot find many of the differentials. But I can, for example, find the first differential of tan(theta) at theta = pi/2 using nothing more than the gradient formula and transreal arithmetic, along with knowledge of which order to compute end points in. Which I can easily obtain by examining the function in the neighbourhood of pi/2. (The gradient is –infinity.) I can also evaluate tan(pi/2) and obtain its unique numerical value at this point. (Nullity.) Thus, my total and consistent arithmetic supplies results where standard mathematics struggles or fails completely. I believe this work has now reached the level of maturity where it can, and should, be published in mathematical journals, and I will take steps to do so.
On the issue of the size of the SPIE conferences, you will note that in a conference the number of peers is equal to the number of conference attendees. Of course, one wants academic peer review of scientific papers, but even here the number of academic peers is quite plausibly a constant factor of the number of attendees. Consider this case: in a conference of one million mathematicians each mathematician reviews three anonymised papers, other than his or her own. Three blind reviews have then been obtained for every mathematician at the conference. And this result would be the same in a conference of one billion or one trillion mathematicians. When it comes to peer review, size does not matter. James A.D.W. Anderson 20:16, 11 December 2006 (UTC) reply
And, no the subject does not satisfy the Primary Notability Criterion. Once again: The "ongoing public discussion" does not address this subject directly, only tangentially and in passing. There are no non-trivial published works, from reliable and independent sources, that cover the subject. In any case, the overwhelming majority of the public discussion is by unreliable sources (e.g. people posting on web logs under pseudonyms).
To make a case for treating this like Intelligent Design, you need to cite as many good sources as can be found in Intelligent Design#Notes_and_references. Intelligent Design even has books that address the subject, you'll notice. You haven't cited any sources at all to demonstrate that your suggestion is workable. Uncle G 10:07, 13 December 2006 (UTC) reply
The result was DELETE. Larry V ( talk | contribs) 11:49, 15 December 2006 (UTC) reply
Rather on the edge theory, seems to be the work of a single group with some confrence publications, but few citations. Chief author covered by BBC and slashdot. Salix alba ( talk) 20:21, 7 December 2006 (UTC) reply
Statement: I did not initiate, nor induce anyone to initiate, any article currently on Wikipedia. My talk page shows that I initiated an article to explain more about transreal numbers, but this was deleted because it was deemed to be a neologism. I have no view on whether or not the articles describing me or my research should be kept. I regard that as a matter for the Wikipedia community, which initiated these articles, to decide.
Facts: My B.Sc. is in Experimental Psychology from Sussex University, England, and was awarded in 1980. My Ph.D. is from Reading University, England. The title of my Ph.D., awarded in 1992, is “Canonical Description of the Perspective Transformations.” All of my scientific papers were peer reviewed. Recent controversy sprang from an open day I attended at Highdown School, Berkshire. My talk was reported on BBC Radio Berkshire, BBC South Today (regional TV news), and BBC News 24 (Satellite TV). BBC Radio Berkshire is to allow me to reply to my critics on a radio show. The BBC intends to invite a professional mathematician to assist the radio presenter. I have forwarded to the BBC my papers showing how transreal arithmetic is performed as operations on fractions and axiomatically, as well as how transreal arithmetic extends to analysis. There are more papers on my personal web site that could be used to bolster claims in the various articles relating to me and my work.
The perspex machine and transreal arithmetic has been simulated in software which is available on my personal web site. A version of the perspex machine has been implemented in FPGA. All of these versions implement digital and, therefore, Turing computable approximations to the machine and the arithmetic.
The Transreal number article contains a number of historical inaccuracies and misinterpretations of my work, but is very much better informed than most commentary I have seen. If the article is kept I could contribute corrections to its talk page or direct to the article. Given the controversy this has provoked I am inclined to contribute to the talk page if the article is kept. James A.D.W. Anderson 14:53, 10 December 2006 (UTC) reply
The work on transreal arithmetic, of which nullity forms a part, has been proved consistent by machine proof. This work was undertaken by an independent researcher at a different university from my own. And the machine proof has been examined at a third university. All agree that transreal arithmetic is consistent and contains real arithmetic as a proper subset.
All of my scientific papers are available in paper form from the relevant copyright libraries and, in many cases, from the electronic databases of the publishing organisations. The papers that are on my web site are only a subset of the papers I have written – specifically, the subset for which I have copyright permission to reproduce. The copyright policies of many journals prevent self publication so the papers that appear on an author’s web site are necessarily skewed. This bias may disappear as electronic publishing takes hold -- but it is a bias that Wikipedians may profitably be aware of.
In my, self-interested, view, my papers have been reviewed to the appropriate standards for my subject area. If you accept this, then the relevant test to apply is whether the material is sufficiently noteworthy, or sufficiently well accepted in society at large, to appear in Wikipedia.
Wikepedians are, I am sure, familiar with the concept of flaming. Since the recent publicity surrounding my work I have been flamed in a number of electronic fora. But I have now received a handful of apologies from people after they have read my papers on transreal arithmetic. None of the hundred or so counter-proofs I have seen to my work are valid, except one, which exposed an error in the guarding clause of equation ten in the analysis paper. This error does not affect the validity of any of the material publicised in the media. Indeed, before making the public presentation, I had obtained a second proof of the 0^0 result using the transreal exponential and logarithm: 0^0 = e^(ln 0^0) = e^(0 ln 0) = e^(0 * -infinity) = e^nullity = nullity.) I invite you to consider whether this is consistent with your (informal) view of the exponential function at these extremes, and then reflect on whether it is valuable to have a total and consistent arithmetic. As a computer scientist I can tell you, for example, that a total and consistent arithmetic guarantees that all functions are differentiable, though I, personally, cannot find many of the differentials. But I can, for example, find the first differential of tan(theta) at theta = pi/2 using nothing more than the gradient formula and transreal arithmetic, along with knowledge of which order to compute end points in. Which I can easily obtain by examining the function in the neighbourhood of pi/2. (The gradient is –infinity.) I can also evaluate tan(pi/2) and obtain its unique numerical value at this point. (Nullity.) Thus, my total and consistent arithmetic supplies results where standard mathematics struggles or fails completely. I believe this work has now reached the level of maturity where it can, and should, be published in mathematical journals, and I will take steps to do so.
On the issue of the size of the SPIE conferences, you will note that in a conference the number of peers is equal to the number of conference attendees. Of course, one wants academic peer review of scientific papers, but even here the number of academic peers is quite plausibly a constant factor of the number of attendees. Consider this case: in a conference of one million mathematicians each mathematician reviews three anonymised papers, other than his or her own. Three blind reviews have then been obtained for every mathematician at the conference. And this result would be the same in a conference of one billion or one trillion mathematicians. When it comes to peer review, size does not matter. James A.D.W. Anderson 20:16, 11 December 2006 (UTC) reply
And, no the subject does not satisfy the Primary Notability Criterion. Once again: The "ongoing public discussion" does not address this subject directly, only tangentially and in passing. There are no non-trivial published works, from reliable and independent sources, that cover the subject. In any case, the overwhelming majority of the public discussion is by unreliable sources (e.g. people posting on web logs under pseudonyms).
To make a case for treating this like Intelligent Design, you need to cite as many good sources as can be found in Intelligent Design#Notes_and_references. Intelligent Design even has books that address the subject, you'll notice. You haven't cited any sources at all to demonstrate that your suggestion is workable. Uncle G 10:07, 13 December 2006 (UTC) reply