tag:blogger.com,1999:blog-7261803.post111648444038810149..comments2019-12-10T17:02:09.290+08:00Comments on Random Thoughts: Letter from the UP Math DepartmentRoy C. Choco, FCDhttp://www.blogger.com/profile/15571388499810304642noreply@blogger.comBlogger6125tag:blogger.com,1999:blog-7261803.post-1142560190935164522006-03-17T09:49:00.000+08:002006-03-17T09:49:00.000+08:00TOTAL IGNORANCE OF FUNDAMENTALS.I just focus on a ...TOTAL IGNORANCE OF FUNDAMENTALS.<BR/><BR/>I just focus on a single paragraph of the poisoned letter from the Math Department that says: Axioms are like the rules of a game - neither true nor false.<BR/><BR/>This is total ignorance of the funamentals of mathematics. David Hilbert spent almost his entire mathematical career to elminate contradictions in mathematics a century ago and tried to prove the real number system consistent which he couldn't because it isn't. Even the rules of a game cannot be contradictory, otherwises, no one would judge it. A single false axiom makes a mathematical space nonsense. The trichotomy axiom of the real number system is false because a counterexample to it AMONG THE REAL NUMBERS exists. What this means is that the real number system (including the integers) is nonsense and FLT, being formulated in it, is also nonsense. Therefore, the first crucial step in resolving it (which Wiles did not do) is to make a critique of the underlying fields, namely, foundations, number theory, and the real number system, which I did, and provide the right remedy. Among the remedy is to reconstruct the real numbers as the contradiction-free new real number system R* consisting of decimals on these simple axioms:<BR/><BR/>1) R* contains the basic integers 0, 1, ..., 9.<BR/><BR/>2) The additon and<BR/>3) multiplication tables of primary school.<BR/><BR/>Then this new mathematical space yields the countably infinite counterexamples to FLT. They are as follow:<BR/><BR/>Let<BR/><BR/>x = (0.99...)10^T, T = 1, 2, ...<BR/><BR/>y = d* = 1 - 0.99...<BR/><BR/>x = 10^T.<BR/><BR/>Then, for n > n,<BR/><BR/>x^n + y^n = z^n.<BR/><BR/>Moreover, for k = 1, 2, ...,<BR/><BR/>(kx)^n + (ky)^n = (kz)^n.<BR/><BR/>For details see my websites, FLT and the Gravitational n-Body Problem, and http://home.iprimus.com.au.pidro/ .<BR/><BR/>Of course, those who do not publish in this field will never understand this issue and the counterexamples and I'm aftraid the writer of the article from the Math Department is one of them.<BR/><BR/>E. E. EsculturaE. E. Esculturahttps://www.blogger.com/profile/13152379109572397366noreply@blogger.comtag:blogger.com,1999:blog-7261803.post-1116813559564912752005-05-23T09:59:00.000+08:002005-05-23T09:59:00.000+08:00Yup, I've read it, but to be fair, if I did not kn...Yup, I've read it, but to be fair, if I did not know that it was satire, It would probably take me a while to "grok" the joke. Mathematicians are alien to me, I am not sure they are not capable of rioting in the streets :-)Roy C. Choco, FCDhttps://www.blogger.com/profile/15571388499810304642noreply@blogger.comtag:blogger.com,1999:blog-7261803.post-1116643367852470292005-05-21T10:42:00.000+08:002005-05-21T10:42:00.000+08:00By the way, if you haven't checked out that link t...By the way, if you haven't checked out that link to the "story" of the mathematicians going wild in Chicago, you should. It's a satire of the Chicago sports fans who went nuts after a championship.Abehttps://www.blogger.com/profile/07252639521601552715noreply@blogger.comtag:blogger.com,1999:blog-7261803.post-1116570693381595842005-05-20T14:31:00.000+08:002005-05-20T14:31:00.000+08:00Idol!!!Idol!!!Legacy Userhttps://www.blogger.com/profile/12111590995231352296noreply@blogger.comtag:blogger.com,1999:blog-7261803.post-1116548131011421402005-05-20T08:15:00.000+08:002005-05-20T08:15:00.000+08:00fixed it, thanks againfixed it, thanks againRoy C. Choco, FCDhttps://www.blogger.com/profile/15571388499810304642noreply@blogger.comtag:blogger.com,1999:blog-7261803.post-1116518533069420842005-05-20T00:02:00.000+08:002005-05-20T00:02:00.000+08:00Roy,Well, that should settle it. For some reason t...Roy,<BR/><BR/>Well, that should settle it. <BR/><BR/>For some reason the text in the message does not display properly in Safari (Mac browser), although Firefox handles it OK.<BR/><BR/>I suspect the problem is in this tag:<BR/>< pre wrap="" >Letter to the Editor of the ..<BR/>and<BR/>< /pre > at the end<BR/><BR/>If you just take those out of the post, it will probably fix things. (I put spaces in the tags to try to make them show here.)<BR/><BR/>Best regards,<BR/>AbeAbehttps://www.blogger.com/profile/07252639521601552715noreply@blogger.com