Friday, July 23, 2021

With five active cases of the Delta variant of COVID-19, South Australia begun a one-week lockdown on Monday. Announcing the lockdown, state Premier Steven Marshall declared “we have no alternative but to impose some fairly heavy and immediate restrictions”.

The first case out of South Australia’s active cases was presented to Modbury Hospital on Sunday night, having returned from Argentina earlier this month. The fifth, which Premier Marshall noted as “far more worrying”, visited The Greek on Halifax restaurant at the same time as someone who was later confirmed to be carrying the virus. Chief Public Health Officer for the state Nicola Spurrier said “if anyone has been at The Greek on Halifax they need to get into quarantine and get tested”.

In accordance with new regulations, there are only five reasons for South Australians to leave home: essential work, shopping for essential goods such as food, exercise, but only with people from the same household and within 2.5 kilometers (2 mi) of home, medical reasons (which includes testing and vaccination against the coronavirus, but excludes elective and cosmetic surgery), and caregiving.

Schools have closed for all but children of essential workers, with online learning having begun on Thursday. Face masks are also be mandated for those who leave home. ABC News reported that “support for businesses is expected to be announced…”, with all non-essential retail required to close under the new regulations.

This is the online suicide letter authored by Andrew Stack, the man believed to be responsible for flying a light aircraft into a building in Austin, Texas. It was originally posted at Stack’s site, http://embeddedart.com/. The hosting company, T35, took the site offline per an FBI request. The note is reproduced here in its entirety.

If you’re reading this, you’re no doubt asking yourself, “Why did this have to happen?” The simple truth is that it is complicated and has been coming for a long time. The writing process, started many months ago, was intended to be therapy in the face of the looming realization that there isn’t enough therapy in the world that can fix what is really broken. Needless to say, this rant could fill volumes with example after example if I would let it. I find the process of writing it frustrating, tedious, and probably pointless… especially given my gross inability to gracefully articulate my thoughts in light of the storm raging in my head. Exactly what is therapeutic about that I’m not sure, but desperate times call for desperate measures.

We are all taught as children that without laws there would be no society, only anarchy. Sadly, starting at early ages we in this country have been brainwashed to believe that, in return for our dedication and service, our government stands for justice for all. We are further brainwashed to believe that there is freedom in this place, and that we should be ready to lay our lives down for the noble principals represented by its founding fathers. Remember? One of these was “no taxation without representation”. I have spent the total years of my adulthood unlearning that crap from only a few years of my childhood. These days anyone who really stands up for that principal is promptly labeled a “crackpot”, traitor and worse.

While very few working people would say they haven’t had their fair share of taxes (as can I), in my lifetime I can say with a great degree of certainty that there has never been a politician cast a vote on any matter with the likes of me or my interests in mind. Nor, for that matter, are they the least bit interested in me or anything I have to say.

Why is it that a handful of thugs and plunderers can commit unthinkable atrocities (and in the case of the GM executives, for scores of years) and when it’s time for their gravy train to crash under the weight of their gluttony and overwhelming stupidity, the force of the full federal government has no difficulty coming to their aid within days if not hours? Yet at the same time, the joke we call the American medical system, including the drug and insurance companies, are murdering tens of thousands of people a year and stealing from the corpses and victims they cripple, and this country’s leaders don’t see this as important as bailing out a few of their vile, rich cronies. Yet, the political “representatives” (thieves, liars, and self-serving scumbags is far more accurate) have endless time to sit around for year after year and debate the state of the “terrible health care problem”. It’s clear they see no crisis as long as the dead people don’t get in the way of their corporate profits rolling in.

And justice? You’ve got to be kidding!

How can any rational individual explain that white elephant conundrum in the middle of our tax system and, indeed, our entire legal system? Here we have a system that is, by far, too complicated for the brightest of the master scholars to understand. Yet, it mercilessly “holds accountable” its victims, claiming that they’re responsible for fully complying with laws not even the experts understand. The law “requires” a signature on the bottom of a tax filing; yet no one can say truthfully that they understand what they are signing; if that’s not “duress” than [sic] what is. If this is not the measure of a totalitarian regime, nothing is.

How did I get here?

My introduction to the real American nightmare starts back in the early ‘80s. Unfortunately after more than 16 years of school, somewhere along the line I picked up the absurd, pompous notion that I could read and understand plain English. Some friends introduced me to a group of people who were having ‘tax code’ readings and discussions. In particular, zeroed in on a section relating to the wonderful “exemptions” that make institutions like the vulgar, corrupt Catholic Church so incredibly wealthy. We carefully studied the law (with the help of some of the “best”, high-paid, experienced tax lawyers in the business), and then began to do exactly what the “big boys” were doing (except that we weren’t steeling [sic] from our congregation or lying to the government about our massive profits in the name of God). We took a great deal of care to make it all visible, following all of the rules, exactly the way the law said it was to be done.

The intent of this exercise and our efforts was to bring about a much-needed re-evaluation of the laws that allow the monsters of organized religion to make such a mockery of people who earn an honest living. However, this is where I learned that there are two “interpretations” for every law; one for the very rich, and one for the rest of us… Oh, and the monsters are the very ones making and enforcing the laws; the inquisition is still alive and well today in this country.

That little lesson in patriotism cost me $40,000+, 10 years of my life, and set my retirement plans back to 0. It made me realize for the first time that I live in a country with an ideology that is based on a total and complete lie. It also made me realize, not only how naive I had been, but also the incredible stupidity of the American public; that they buy, hook, line, and sinker, the crap about their “freedom”… and that they continue to do so with eyes closed in the face of overwhelming evidence and all that keeps happening in front of them.

Before even having to make a shaky recovery from the sting of the first lesson on what justice really means in this country (around 1984 after making my way through engineering school and still another five years of “paying my dues”), I felt I finally had to take a chance of launching my dream of becoming an independent engineer.

On the subjects of engineers and dreams of independence, I should digress somewhat to say that I’m sure that I inherited the fascination for creative problem solving from my father. I realized this at a very young age.

The significance of independence, however, came much later during my early years of college; at the age of 18 or 19 when I was living on my own as student in an apartment in Harrisburg, Pennsylvania. My neighbor was an elderly retired woman (80+ seemed ancient to me at that age) who was the widowed wife of a retired steel worker. Her husband had worked all his life in the steel mills of central Pennsylvania with promises from big business and the union that, for his 30 years of service, he would have a pension and medical care to look forward to in his retirement. Instead he was one of the thousands who got nothing because the incompetent mill management and corrupt union (not to mention the government) raided their pension funds and stole their retirement. All she had was social security to live on.

In retrospect, the situation was laughable because here I was living on peanut butter and bread (or Ritz crackers when I could afford to splurge) for months at a time. When I got to know this poor figure and heard her story I felt worse for her plight than for my own (I, after all, I thought I had everything to in front of me). I was genuinely appalled at one point, as we exchanged stories and commiserated with each other over our situations, when she in her grandmotherly fashion tried to convince me that I would be “healthier” eating cat food (like her) rather than trying to get all my substance from peanut butter and bread. I couldn’t quite go there, but the impression was made. I decided that I didn’t trust big business to take care of me, and that I would take responsibility for my own future and myself.

Return to the early ‘80s, and here I was off to a terrifying start as a ‘wet-behind-the-ears’ contract software engineer… and two years later, thanks to the fine backroom, midnight effort by the sleazy executives of Arthur Andersen (the very same folks who later brought us Enron and other such calamities) and an equally sleazy New York Senator (Patrick Moynihan), we saw the passage of 1986 tax reform act with its section 1706.

For you who are unfamiliar, here is the core text of the IRS Section 1706, defining the treatment of workers (such as contract engineers) for tax purposes. Visit this link for a conference committee report (http://www.synergistech.com/1706.shtml#ConferenceCommitteeReport) regarding the intended interpretation of Section 1706 and the relevant parts of Section 530, as amended. For information on how these laws affect technical services workers and their clients, read our discussion here (http://www.synergistech.com/ic-taxlaw.shtml).

SEC. 1706. TREATMENT OF CERTAIN TECHNICAL PERSONNEL.

(a) IN GENERAL – Section 530 of the Revenue Act of 1978 is amended by adding at the end thereof the following new subsection:

(d) EXCEPTION. – This section shall not apply in the case of an individual who pursuant to an arrangement between the taxpayer and another person, provides services for such other person as an engineer, designer, drafter, computer programmer, systems analyst, or other similarly skilled worker engaged in a similar line of work.

(b) EFFECTIVE DATE. – The amendment made by this section shall apply to remuneration paid and services rendered after December 31, 1986.

Note:

· “another person” is the client in the traditional job-shop relationship.

· “taxpayer” is the recruiter, broker, agency, or job shop.

· “individual”, “employee”, or “worker” is you.

Admittedly, you need to read the treatment to understand what it is saying but it’s not very complicated. The bottom line is that they may as well have put my name right in the text of section (d). Moreover, they could only have been more blunt if they would have came out and directly declared me a criminal and non-citizen slave. Twenty years later, I still can’t believe my eyes.

During 1987, I spent close to $5000 of my ‘pocket change’, and at least 1000 hours of my time writing, printing, and mailing to any senator, congressman, governor, or slug that might listen; none did, and they universally treated me as if I was wasting their time. I spent countless hours on the L.A. freeways driving to meetings and any and all of the disorganized professional groups who were attempting to mount a campaign against this atrocity. This, only to discover that our efforts were being easily derailed by a few moles from the brokers who were just beginning to enjoy the windfall from the new declaration of their “freedom”. Oh, and don’t forget, for all of the time I was spending on this, I was loosing income that I couldn’t bill clients.

After months of struggling it had clearly gotten to be a futile exercise. The best we could get for all of our trouble is a pronouncement from an IRS mouthpiece that they weren’t going to enforce that provision (read harass engineers and scientists). This immediately proved to be a lie, and the mere existence of the regulation began to have its impact on my bottom line; this, of course, was the intended effect.

Again, rewind my retirement plans back to 0 and shift them into idle. If I had any sense, I clearly should have left abandoned engineering and never looked back.

Instead I got busy working 100-hour workweeks. Then came the L.A. depression of the early 1990s. Our leaders decided that they didn’t need the all of those extra Air Force bases they had in Southern California, so they were closed; just like that. The result was economic devastation in the region that rivaled the widely publicized Texas S&L fiasco. However, because the government caused it, no one gave a shit about all of the young families who lost their homes or street after street of boarded up houses abandoned to the wealthy loan companies who received government funds to “shore up” their windfall. Again, I lost my retirement.

Years later, after weathering a divorce and the constant struggle trying to build some momentum with my business, I find myself once again beginning to finally pick up some speed. Then came the .COM bust and the 911 nightmare. Our leaders decided that all aircraft were grounded for what seemed like an eternity; and long after that, ‘special’ facilities like San Francisco were on security alert for months. This made access to my customers prohibitively expensive. Ironically, after what they had done the Government came to the aid of the airlines with billions of our tax dollars … as usual they left me to rot and die while they bailed out their rich, incompetent cronies WITH MY MONEY! After these events, there went my business but not quite yet all of my retirement and savings.

By this time, I’m thinking that it might be good for a change. Bye to California, I’ll try Austin for a while. So I moved, only to find out that this is a place with a highly inflated sense of self-importance and where damn little real engineering work is done. I’ve never experienced such a hard time finding work. The rates are 1/3 of what I was earning before the crash, because pay rates here are fixed by the three or four large companies in the area who are in collusion to drive down prices and wages… and this happens because the justice department is all on the take and doesn’t give a fuck about serving anyone or anything but themselves and their rich buddies.

To survive, I was forced to cannibalize my savings and retirement, the last of which was a small IRA. This came in a year with mammoth expenses and not a single dollar of income. I filed no return that year thinking that because I didn’t have any income there was no need. The sleazy government decided that they disagreed. But they didn’t notify me in time for me to launch a legal objection so when I attempted to get a protest filed with the court I was told I was no longer entitled to due process because the time to file ran out. Bend over for another $10,000 helping of justice.

So now we come to the present. After my experience with the CPA world, following the business crash I swore that I’d never enter another accountant’s office again. But here I am with a new marriage and a boatload of undocumented income, not to mention an expensive new business asset, a piano, which I had no idea how to handle. After considerable thought I decided that it would be irresponsible NOT to get professional help; a very big mistake.

When we received the forms back I was very optimistic that they were in order. I had taken all of the years information to Bill Ross, and he came back with results very similar to what I was expecting. Except that he had neglected to include the contents of Sheryl’s unreported income; $12,700 worth of it. To make matters worse, Ross knew all along this was missing and I didn’t have a clue until he pointed it out in the middle of the audit. By that time it had become brutally evident that he was representing himself and not me.

This left me stuck in the middle of this disaster trying to defend transactions that have no relationship to anything tax-related (at least the tax-related transactions were poorly documented). Things I never knew anything about and things my wife had no clue would ever matter to anyone. The end result is… well, just look around.

I remember reading about the stock market crash before the “great” depression and how there were wealthy bankers and businessmen jumping out of windows when they realized they screwed up and lost everything. Isn’t it ironic how far we’ve come in 60 years in this country that they now know how to fix that little economic problem; they just steal from the middle class (who doesn’t have any say in it, elections are a joke) to cover their asses and it’s “business-as-usual”. Now when the wealthy fuck up, the poor get to die for the mistakes… isn’t that a clever, tidy solution.

As government agencies go, the FAA is often justifiably referred to as a tombstone agency, though they are hardly alone. The recent presidential puppet GW Bush and his cronies in their eight years certainly reinforced for all of us that this criticism rings equally true for all of the government. Nothing changes unless there is a body count (unless it is in the interest of the wealthy sows at the government trough). In a government full of hypocrites from top to bottom, life is as cheap as their lies and their self-serving laws.

I know I’m hardly the first one to decide I have had all I can stand. It has always been a myth that people have stopped dying for their freedom in this country, and it isn’t limited to the blacks, and poor immigrants. I know there have been countless before me and there are sure to be as many after. But I also know that by not adding my body to the count, I insure nothing will change. I choose to not keep looking over my shoulder at “big brother” while he strips my carcass, I choose not to ignore what is going on all around me, I choose not to pretend that business as usual won’t continue; I have just had enough.

I can only hope that the numbers quickly get too big to be white washed and ignored that the American zombies wake up and revolt; it will take nothing less. I would only hope that by striking a nerve that stimulates the inevitable double standard, knee-jerk government reaction that results in more stupid draconian restrictions people wake up and begin to see the pompous political thugs and their mindless minions for what they are. Sadly, though I spent my entire life trying to believe it wasn’t so, but violence not only is the answer, it is the only answer. The cruel joke is that the really big chunks of shit at the top have known this all along and have been laughing, at and using this awareness against, fools like me all along.

I saw it written once that the definition of insanity is repeating the same process over and over and expecting the outcome to suddenly be different. I am finally ready to stop this insanity. Well, Mr. Big Brother IRS man, let’s try something different; take my pound of flesh and sleep well.

The communist creed: From each according to his ability, to each according to his need.

The capitalist creed: From each according to his gullibility, to each according to his greed.

Joe Stack (1956-2010)

02/18/2010

Monday, June 25, 2018

On Sunday, R Praggnanandhaa became the youngest Indian chess player to earn the title of Grand Master. At the age of twelve years, ten months and thirteen days, Praggnanandhaa was the second youngest person to earn the title.

Praggnanandhaa earned his third norm on Sunday as he faced Dutch Grand Master Roeland Pruijssers with Elo rating of 2514 at the fourth Gredine Open in Italy. Having won the first norm in November and second in April, Praggnanandhaa had to face a player with at least 2482 Elo rating for the third norm. For the Grand Master title, a player requires three norms and Elo rating of at least 2500.

Praggnanandhaa with Elo rating of 2529 finished second at the competition, losing the tie-breaker for the winning spot. In 2016, at the age of ten years, ten months and nineteen days, Praggnanandhaa became the youngest player to receive the title of an International Master.

In 2002, at the age of twelve years and seven months, Ukraine’s Sergey Karjakin became the youngest recipient of the Grand Master title. Previously, India’s Parimarjan Negi was the youngest Indian to earn the Grand Master title.

Wednesday, February 23, 2005A compound in the common daisy-like plant feverfew kills human leukemia stem cells and could form the basis for newer, more effective drugs for the disease.

American researchers at the University of Rochester Medical Center in New York say that it could take months to develop a useable drug from the compound, parthenolide.

However, they are working to do so with chemists at the University of Kentucky who have identified a water-soluble molecule with the same properties. The US National Cancer Institute has also accepted the work into its rapid access program, which aims to speed experimental drugs into human clinical trials.

“This research is a very important step in setting the stage for future development of a new therapy for leukemia,” says Rochester researcher Craig Jordan. “We have proof that we can kill leukemia stem cells with this type of agent, and that is good news.”

Parthenolide appears to target the roots of myeloid leukemia, stem cells, while current treatments including the relatively new drug Gleevec don’t. So, “You’re pulling the weed without getting to the root,” says Jordan.

Used for centuries to fight fevers, inflammation and arthritis, feverfew earned interest from the Rochester researchers after other scientists showed that it could prevent skin cancer in animal models.

So the researchers investigated how a concentrated form of the plant component parthenolide would affect leukemia cells and normal cells.

Comparing the impact of parthenolide to the common chemotherapy drug cytarabine, they found that parthenolide selectively killed leukemia cells while sparing normal cells better.

While the findings suggest that parthenolide is a good starting point for new drugs, people with leukemia aren’t being encouraged to take high doses of feverfew as they could not take enough of the remedy to halt the disease.

The research is reported in the journal Blood.

Tuesday, July 5, 2005

In a meeting on Monday in Atlanta, Georgia, the United Church of Christ overwhelmingly approved a resolution supporting same-sex marriage, therefore becoming the largest Christian denomination to do so. UCC has over 6,000 congregations and 1.3 million members.

In a press conference, Rev. John H. Thomas said, “On this July Fourth the General Synod of the United Church of Christ has acted courageously to declare freedom, affirming marriage equality, affirming the civil rights of same gender couples to have their relationships recognized as marriages by the state, and encouraging our local churches to celebrate and bless those marriages.”

Thomas also acknowledged that the issue of marriage equality is “the source of great conflict” not only in society but also in the churches. The UCC, he said, “is no exception” and “there are clearly great differences among our own members over this.”

The decision is non-binding but asks member churches to consider wedding policies “that do not discriminate against couples based on gender” and support laws granting equal marriage rights for gays and lesbians.

Some member churches have suggested they may leave the denomination but most members appeared to support the resolution noting some ministers already perform same-sex ceremonies.

UCC was criticized last year for creating a television commercial including a gay couple being excluded from a church. The 30-second ad was rejected by most TV networks.

Monday, December 11, 2006

On December 7, BBC News reported a story about Dr James Anderson, a teacher in the Computer Science department at the University of Reading in the United Kingdom. In the report it was stated that Anderson had “solved a very important problem” that was 1200 years old, the problem of division by zero. According to the BBC, Anderson had created a new number, that he had named “nullity”, that lay outside of the real number line. Anderson terms this number a “transreal number”, and denotes it with the Greek letter ? {\displaystyle \Phi } . He had taught this number to pupils at Highdown School, in Emmer Green, Reading.

The BBC report provoked many reactions from mathematicians and others.

In reaction to the story, Mark C. Chu-Carroll, a computer scientist and researcher, posted a web log entry describing Anderson as an “idiot math teacher”, and describing the BBC’s story as “absolutely infuriating” and a story that “does an excellent job of demonstrating what total innumerate idiots reporters are”. Chu-Carroll stated that there was, in fact, no actual problem to be solved in the first place. “There is no number that meaningfully expresses the concept of what it means to divide by zero.”, he wrote, stating that all that Anderson had done was “assign a name to the concept of ‘not a number'”, something which was “not new” in that the IEEE floating-point standard, which describes how computers represent floating-point numbers, had included a concept of “not a number”, termed “NaN“, since 1985. Chu-Carroll further continued:

“Basically, he’s defined a non-solution to a non-problem. And by teaching it to his students, he’s doing them a great disservice. They’re going to leave his class believing that he’s a great genius who’s solved a supposed fundamental problem of math, and believing in this silly nullity thing as a valid mathematical concept.

“It’s not like there isn’t already enough stuff in basic math for kids to learn; there’s no excuse for taking advantage of a passive audience to shove this nonsense down their throats as an exercise in self-aggrandizement.

“To make matters worse, this idiot is a computer science professor! No one who’s studied CS should be able to get away with believing that re-inventing the concept of NaN is something noteworthy or profound; and no one who’s studied CS should think that defining meaningless values can somehow magically make invalid computations produce meaningful results. I’m ashamed for my field.”

There have been a wide range of other reactions from other people to the BBC news story. Comments range from the humorous and the ironic, such as the B1FF-style observation that “DIVIDION^[sic] BY ZERO IS IMPOSSIBLE BECAUSE MY CALCULATOR SAYS SO AND IT IS THE TRUTH” and the Chuck Norris Fact that “Only Chuck Norris can divide by zero.” (to which another reader replied “Chuck Norris just looks at zero, and it divides itself.”); through vigourous defences of Dr Anderson, with several people quoting the lyrics to Ira Gershwin‘s song “They All Laughed (At Christopher Columbus)”; to detailed mathematical discussions of Anderson’s proposed axioms of transfinite numbers.

Several readers have commented that they consider this to have damaged the reputation of the Computer Science department, and even the reputation of the University of Reading as a whole. “By publishing his childish nonsense the BBC actively harms the reputation of Reading University.” wrote one reader. “Looking forward to seeing Reading University maths application plummit.” wrote another. “Ignore all research papers from the University of Reading.” wrote a third. “I’m not sure why you refer to Reading as a ‘university’. This is a place the BBC reports as closing down its physics department because it’s too hard. Lecturers at Reading should stick to folk dancing and knitting, leaving academic subjects to grown ups.” wrote a fourth. Steve Kramarsky lamented that Dr Anderson is not from the “University of ‘Rithmetic“.

Several readers criticised the journalists at the BBC who ran the story for not apparently contacting any mathematicians about Dr Anderson’s idea. “Journalists are meant to check facts, not just accept whatever they are told by a self-interested third party and publish it without question.” wrote one reader on the BBC’s web site. However, on Slashdot another reader countered “The report is from Berkshire local news. Berkshire! Do you really expect a local news team to have a maths specialist? Finding a newsworthy story in Berkshire probably isn’t that easy, so local journalists have to cover any piece of fluff that comes up. Your attitude to the journalist should be sympathy, not scorn.”

Ben Goldacre, author of the Bad Science column in The Guardian, wrote on his web log that “what is odd is a reporter, editor, producer, newsroom, team, cameraman, soundman, TV channel, web editor, web copy writer, and so on, all thinking it’s a good idea to cover a brilliant new scientific breakthrough whilst clearly knowing nothing about the context. Maths isn’t that hard, you could even make a call to a mathematician about it.”, continuing that “it’s all very well for the BBC to think they’re being balanced and clever getting Dr Anderson back in to answer queries about his theory on Tuesday, but that rather skips the issue, and shines the spotlight quite unfairly on him (he looks like a very alright bloke to me).”.

From reading comments on his own web log as well as elsewhere, Goldacre concluded that he thought that “a lot of people might feel it’s reporter Ben Moore, and the rest of his doubtless extensive team, the people who drove the story, who we’d want to see answering the questions from the mathematicians.”.

Andrej Bauer, a professional mathematician from Slovenia writing on the Bad Science web log, stated that “whoever reported on this failed to call a university professor to check whether it was really new. Any university professor would have told this reporter that there are many ways of dealing with division by zero, and that Mr. Anderson’s was just one of known ones.”

Ollie Williams, one of the BBC Radio Berkshire reporters who wrote the BBC story, initially stated that “It seems odd to me that his theory would get as far as television if it’s so easily blown out of the water by visitors to our site, so there must be something more to it.” and directly responded to criticisms of BBC journalism on several points on his web log.

He pointed out that people should remember that his target audience was local people in Berkshire with no mathematical knowledge, and that he was “not writing for a global audience of mathematicians”. “Some people have had a go at Dr Anderson for using simplified terminology too,” he continued, “but he knows we’re playing to a mainstream audience, and at the time we filmed him, he was showing his theory to a class of schoolchildren. Those circumstances were never going to breed an in-depth half-hour scientific discussion, and none of our regular readers would want that.”.

On the matter of fact checking, he replied that “if you only want us to report scientific news once it’s appeared, peer-reviewed, in a recognised journal, it’s going to be very dry, and it probably won’t be news.”, adding that “It’s not for the BBC to become a journal of mathematics — that’s the job of journals of mathematics. It’s for the BBC to provide lively science reporting that engages and involves people. And if you look at the original page, you’ll find a list as long as your arm of engaged and involved people.”.

Williams pointed out that “We did not present Dr Anderson’s theory as gospel, although with hindsight it could have been made clearer that this is very much a theory and by no means universally accepted. But we certainly weren’t shouting a mathematical revolution from the rooftops. Dr Anderson has, in one or two places, been chastised for coming to the media with his theory instead of his peers — a sure sign of a quack, boffin and/or crank according to one blogger. Actually, one of our reporters happened to meet him during a demonstration against the closure of the university’s physics department a couple of weeks ago, got chatting, and discovered Dr Anderson reckoned he was onto something. He certainly didn’t break the door down looking for media coverage.”.

Some commentators, at the BBC web page and at Slashdot, have attempted serious mathematical descriptions of what Anderson has done, and subjected it to analysis. One description was that Anderson has taken the field of real numbers and given it complete closure so that all six of the common arithmetic operators were surjective functions, resulting in “an object which is barely a commutative ring (with operators with tons of funky corner cases)” and no actual gain “in terms of new theorems or strong relation statements from the extra axioms he has to tack on”.

Jamie Sawyer, a mathematics undergraduate at the University of Warwick writing in the Warwick Maths Society discussion forum, describes what Anderson has done as deciding that R ? { ? ? , + ? } {\displaystyle \mathbb {R} \cup \lbrace -\infty ,+\infty \rbrace } , the so-called extended real number line, is “not good enough […] because of the wonderful issue of what 0 0 {\displaystyle {\frac {0}{0}}} is equal to” and therefore creating a number system R ? { ? ? , ? , + ? } {\displaystyle \mathbb {R} \cup \lbrace -\infty ,\Phi ,+\infty \rbrace } .

Andrej Bauer stated that Anderson’s axioms of transreal arithmetic “are far from being original. First, you can adjoin + ? {\displaystyle +\infty } and ? ? {\displaystyle -\infty } to obtain something called the extended real line. Then you can adjoin a bottom element to represent an undefined value. This is all standard and quite old. In fact, it is well known in domain theory, which deals with how to represent things we compute with, that adjoining just bottom to the reals is not a good idea. It is better to adjoin many so-called partial elements, which denote approximations to reals. Bottom is then just the trivial approximation which means something like ‘any real’ or ‘undefined real’.”

Commentators have pointed out that in the field of mathematical analysis, 0 0 {\displaystyle {\frac {0}{0}}} (which Anderson has defined axiomatically to be ? {\displaystyle \Phi } ) is the limit of several functions, each of which tends to a different value at its limit:

• lim x ? 0 x 0 {\displaystyle \lim _{x\to 0}{\frac {x}{0}}} has two different limits, depending from whether x {\displaystyle x} approaches zero from a positive or from a negative direction.
• lim x ? 0 0 x {\displaystyle \lim _{x\to 0}{\frac {0}{x}}} also has two different limits. (This is the argument that commentators gave. In fact, 0 x {\displaystyle {\frac {0}{x}}} has the value 0 {\displaystyle 0} for all x ? 0 {\displaystyle x\neq 0} , and thus only one limit. It is simply discontinuous for x = 0 {\displaystyle x=0} . However, that limit is different to the two limits for lim x ? 0 x 0 {\displaystyle \lim _{x\to 0}{\frac {x}{0}}} , supporting the commentators’ main point that the values of the various limits are all different.)
• Whilst sin ? 0 = 0 {\displaystyle \sin 0=0} , the limit lim x ? 0 sin ? x x {\displaystyle \lim _{x\to 0}{\frac {\sin x}{x}}} can be shown to be 1, by expanding the sine function as an infinite Taylor series, dividing the series by x {\displaystyle x} , and then taking the limit of the result, which is 1.
• Whilst 1 ? cos ? 0 = 0 {\displaystyle 1-\cos 0=0} , the limit lim x ? 0 1 ? cos ? x x {\displaystyle \lim _{x\to 0}{\frac {1-\cos x}{x}}} can be shown to be 0, by expanding the cosine function as an infinite Taylor series, dividing the series subtracted from 1 by x {\displaystyle x} , and then taking the limit of the result, which is 0.

Commentators have also noted l’Hôpital’s rule.

It has been pointed out that Anderson’s set of transreal numbers is not, unlike the set of real numbers, a mathematical field. Simon Tatham, author of PuTTY, stated that Anderson’s system “doesn’t even think about the field axioms: addition is no longer invertible, multiplication isn’t invertible on nullity or infinity (or zero, but that’s expected!). So if you’re working in the transreals or transrationals, you can’t do simple algebraic transformations such as cancelling x {\displaystyle x} and ? x {\displaystyle -x} when both occur in the same expression, because that transformation becomes invalid if x {\displaystyle x} is nullity or infinity. So even the simplest exercises of ordinary algebra spew off a constant stream of ‘unless x is nullity’ special cases which you have to deal with separately — in much the same way that the occasional division spews off an ‘unless x is zero’ special case, only much more often.”

Tatham stated that “It’s telling that this monstrosity has been dreamed up by a computer scientist: persistent error indicators and universal absorbing states can often be good computer science, but he’s stepped way outside his field of competence if he thinks that that also makes them good maths.”, continuing that Anderson has “also totally missed the point when he tries to compute things like 0 0 {\displaystyle 0^{0}} using his arithmetic. The reason why things like that are generally considered to be ill-defined is not because of a lack of facile ‘proofs’ showing them to have one value or another; it’s because of a surfeit of such ‘proofs’ all of which disagree! Adding another one does not (as he appears to believe) solve any problem at all.” (In other words: 0 0 {\displaystyle 0^{0}} is what is known in mathematical analysis as an indeterminate form.)

To many observers, it appears that Anderson has done nothing more than re-invent the idea of “NaN“, a special value that computers have been using in floating-point calculations to represent undefined results for over two decades. In the various international standards for computing, including the IEEE floating-point standard and IBM’s standard for decimal arithmetic, a division of any non-zero number by zero results in one of two special infinity values, “+Inf” or “-Inf”, the sign of the infinity determined by the signs of the two operands (Negative zero exists in floating-point representations.); and a division of zero by zero results in NaN.

Anderson himself denies that he has re-invented NaN, and in fact claims that there are problems with NaN that are not shared by nullity. According to Anderson, “mathematical arithmetic is sociologically invalid” and IEEE floating-point arithmetic, with NaN, is also faulty. In one of his papers on a “perspex machine” dealing with “The Axioms of Transreal Arithmetic” (Jamie Sawyer writes that he has “worries about something which appears to be named after a plastic” — “Perspex” being a trade name for polymethyl methacrylate in the U.K..) Anderson writes:

We cannot accept an arithmetic in which a number is not equal to itself (NaN != NaN), or in which there are three kinds of numbers: plain numbers, silent numbers, and signalling numbers; because, on writing such a number down, in daily discourse, we can not always distinguish which kind of number it is and, even if we adopt some notational convention to make the distinction clear, we cannot know how the signalling numbers are to be used in the absence of having the whole program and computer that computed them available. So whilst IEEE floating-point arithmetic is an improvement on real arithmetic, in so far as it is total, not partial, both arithmetics are invalid models of arithmetic.

In fact, the standard convention for distinguishing the two types of NaNs when writing them down can be seen in ISO/IEC 10967, another international standard for how computers deal with numbers, which uses “qNaN” for non-signalling (“quiet”) NaNs and “sNaN” for signalling NaNs. Anderson continues:

[NaN’s] semantics are not defined, except by a long list of special cases in the IEEE standard.

“In other words,” writes Scott Lamb, a BSc. in Computer Science from the University of Idaho, “they are defined, but he doesn’t like the definition.”.

The main difference between nullity and NaN, according to both Anderson and commentators, is that nullity compares equal to nullity, whereas NaN does not compare equal to NaN. Commentators have pointed out that in very short order this difference leads to contradictory results. They stated that it requires only a few lines of proof, for example, to demonstrate that in Anderson’s system of “transreal arithmetic” both 1 = 2 {\displaystyle 1=2} and 1 ? 2 {\displaystyle 1\neq 2} , after which, in one commentator’s words, one can “prove anything that you like”. In aiming to provide a complete system of arithmetic, by adding extra axioms defining the results of the division of zero by zero and of the consequent operations on that result, half as many again as the number of axioms of real-number arithmetic, Anderson has produced a self-contradictory system of arithmetic, in accordance with Gödel’s incompleteness theorems.

One reader-submitted comment appended to the BBC news article read “Step 1. Create solution 2. Create problem 3. PROFIT!”, an allusion to the business plan employed by the underpants gnomes of the comedy television series South Park. In fact, Anderson does plan to profit from nullity, having registered on the 27th of July, 2006 a private limited company named Transreal Computing Ltd, whose mission statement is “to develop hardware and software to bring you fast and safe computation that does not fail on division by zero” and to “promote education and training in transreal computing”. The company is currently “in the research and development phase prior to trading in hardware and software”.

In a presentation given to potential investors in his company at the ANGLE plc showcase on the 28th of November, 2006, held at the University of Reading, Anderson stated his aims for the company as being:

• To build a transreal computer.
• To derive Maxwell’s equations and classical gravitation in transreal numbers so that they have no naked singularities (infinities affecting a neighbourhood of space).
• To collaborate with anyone who wants to unify Quantum Electro-Dynamics with gravitation.

To investors, Anderson makes the following promises:

• “I will help you develop a curriculum for transreal arithmetic if you want me to.”
• “I will help you unify QED and gravitation if you want me to.”
• “I will build a transreal supercomputer.”

He asks potential investors:

• “How much would you pay to know that the engine in your ship, car, aeroplane, or heart pacemaker won’t just stop dead?”
• “How much would you pay to know that your Government’s computer controlled military hardware won’t just stop or misfire?”

The current models of computer arithmetic are, in fact, already designed to allow programmers to write programs that will continue in the event of a division by zero. The IEEE’s Frequently Asked Questions document for the floating-point standard gives this reply to the question “Why doesn’t division by zero (or overflow, or underflow) stop the program or trigger an error?”:

“The [IEEE] 754 model encourages robust programs. It is intended not only for numerical analysts but also for spreadsheet users, database systems, or even coffee pots. The propagation rules for NaNs and infinities allow inconsequential exceptions to vanish. Similarly, gradual underflow maintains error properties over a precision’s range.

“When exceptional situations need attention, they can be examined immediately via traps or at a convenient time via status flags. Traps can be used to stop a program, but unrecoverable situations are extremely rare. Simply stopping a program is not an option for embedded systems or network agents. More often, traps log diagnostic information or substitute valid results.”

Simon Tatham stated that there is a basic problem with Anderson’s ideas, and thus with the idea of building a transreal supercomputer: “It’s a category error. The Anderson transrationals and transreals are theoretical algebraic structures, capable of representing arbitrarily big and arbitrarily precise numbers. So the question of their error-propagation semantics is totally meaningless: you don’t use them for down-and-dirty error-prone real computation, you use them for proving theorems. If you want to use this sort of thing in a computer, you have to think up some concrete representation of Anderson transfoos in bits and bytes, which will (if only by the limits of available memory) be unable to encompass the entire range of the structure. And the point at which you make this transition from theoretical abstract algebra to concrete bits and bytes is precisely where you should also be putting in error handling, because it’s where errors start to become possible. We define our theoretical algebraic structures to obey lots of axioms (like the field axioms, and total ordering) which make it possible to reason about them efficiently in the proving of theorems. We define our practical number representations in a computer to make it easy to detect errors. The Anderson transfoos are a consequence of fundamentally confusing the one with the other, and that by itself ought to be sufficient reason to hurl them aside with great force.”

Geomerics, a start-up company specializing in simulation software for physics and lighting and funded by ANGLE plc, had been asked to look into Anderson’s work by an unnamed client. Rich Wareham, a Senior Research and Development Engineer at Geomerics and a MEng. from the University of Cambridge, stated that Anderson’s system “might be a more interesting set of axioms for dealing with arithmetic exceptions but it isn’t the first attempt at just defining away the problem. Indeed it doesn’t fundamentally change anything. The reason computer programs crash when they divide by zero is not that the hardware can produce no result, merely that the programmer has not dealt with NaNs as they propagate through. Not dealing with nullities will similarly lead to program crashes.”

“Do the Anderson transrational semantics give any advantage over the IEEE ones?”, Wareham asked, answering “Well one assumes they have been thought out to be useful in themselves rather than to just propagate errors but I’m not sure that seeing a nullity pop out of your code would lead you to do anything other than what would happen if a NaN or Inf popped out, namely signal an error.”.

Wednesday, August 23, 2006

“18 hours of mass hysteria” (according to the Sunday Times of India) broke out last Friday in Mumbai as hundreds of residents flocked to Mahim Creek, one of the most polluted creeks in India that receives thousands of tonnes of raw sewage and industrial waste every day after reports that the salt water had suddenly turned “sweet”.

Television reports showed people drinking water on the spot with their hands, and others bathing, apparently to wash away their sins with the “holy” water.

At the height of the hysteria, bottled mineral water was selling for Rs 50 (RM4.50), with people buying the mineral water simply for the bottles, pouring away the mineral water and filling the bottles with water from the creek.

News reports of the Mahim Creek incident sparked further mass hysteria at Gujarat within hours, with residents there claiming that seawater at Teethal beach in Valsad had also turned sweet. About 400 people had gathered by the beach in the evening.

In the aftermath of the incident, local authorities stated that they were being were extra vigilant because of the possibility of a severe outbreak of water-borne diseases, such as gastroenteritis as a result of so many people drinking contaminated water. The Maharashtra Pollution Control Board had warned people not to drink the water, but despite this many people had collected it in bottles, even as plastic and rubbish had drifted by on the current. The Municipal Corporation of Greater Mumbai had ordered a bacteriological report into the “sweet” water, but suspected that “contamination in the water might have been reduced due to the waters from Mithi River flowing into the mouth of Mahim Bay“.

By Saturday morning, the hysteria had died down, as the taste of the water had returned to normal.