British computer scientist’s new “nullity” idea provokes reaction from mathematicians

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 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.”.

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Wikinews interviews Jim Hedges, U.S. Prohibition Party presidential candidate

Saturday, January 29, 2011

U.S. Prohibition Party presidential candidate Jim Hedges of Thompson Township, Pennsylvania took some time to answer a few questions about the Prohibition Party and his 2012 presidential campaign.

The Prohibition Party is the third oldest existing political party in the United States, having been established in 1869. It reached its height of popularity during the late 19th century. The party heavily supported the Eighteenth Amendment to the United States Constitution, which banned the sale of alcohol, and resulted in the US period known as Prohibition (1919–33). It was repealed in 1933. The party has declined since this period, but has continued to nominate candidates for the presidential election.

In 2003, the party split into two factions. Preacher Gene Amondson and perennial candidate Earl Dodge were nominated for the presidency by their respective factions. After Dodge’s death in 2007, the party reunified and named Amondson as its sole presidential nominee for 2008. During the election, Amondson was interviewed by Wikinews. He died in 2009, leaving an opening in the party for 2012.

Jim Hedges is a longtime Prohibition activist, who holds the distinction of the first individual of the 21st century (and the first since 1959) to be elected to a political office under the Prohibition Party banner. In 2001, he was elected as the Thompson Township tax assessor, and was re-elected to the post in 2005. He served until his term expired in 2010. Hedges declared his intent to run for the Prohibition Party presidential nomination on February 18, 2010. This marks his first run for the presidency.

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Oil spill hits Australia’s Sunshine coastline

Sunday, March 15, 2009

200,000 litres of oil leaked into waters off the coast of Brisbane from the Pacific Adventurer when their fuel tanks were damaged in rough seas on Wednesday. The figure is about ten times higher than the original estimate of twenty thousand litres of oil. The devastating diesel oil spill has spread along 60 kilometres (37 miles) of the Queensland coast. In addition, 31 containers with 620 tonnes of ammonium nitrate fertiliser flew overboard during the violent storm.

Questions are being asked why the Hong Kong cargo ship was out in seas with nine meter waves caused by Cyclone Hamish, a Category 5 tropical cyclone, as well as why the fertiliser containers were not properly secured. One of the overboard containers ruptured the hull of the Pacific Adventurer, causing between 30 to 100 tonnes of oil to spew from the severely damaged ship.

If the ammonium nitrate mixes with the heavy oil, an explosion could occur. None of the containers have been recovered. Some of these may float, but it is believed that they may have sunk which then may cause algal blooms.

Disaster zones have been declared at Bribie and Moreton Islands, and along the Sunshine coast.

The vessel’s owner, Swire Shipping, reported that a second leak began on Friday, when the ship began listing after docking at Hamilton for repairs. “As full soundings of the vessel’s tanks were being taken at the port to determine how much oil had leaked from the vessel, a small quantity of fuel oil escaped from the Pacific Adventurer,” it stated. The ship was brought upright, and a recovery vessel was used to suck up the oil from the water. The leak produced a 500m-long oil slick down the Brisbane River. Booms were placed around this oil spill so that a skimmer could clean up the second spill.

Swire Shipping could face clean up costs of AU$100,000 a day as well as fines up to AU$1.5million (US$977,000; £703,000) if found guilty of environmental breaches or negligence.

Sunshine Coast beaches are slowly starting to be reopened. The beach of Mooloolaba was still closed following reports of burning sensations from swimmers. 12 beaches remain closed; however, 13 have been reopened.

Over 300 state government and council workers are using buckets, rakes and spades in the clean up effort. Sunshine Coast Mayor Bob Abbott says the majority will be gone by Sunday afternoon. The full environmental impact on wildlife is not yet known. One turtle and seven pelicans have been found covered in oil.

There are concerns that the drinking water of Moreton Island is at risk, as the island uses water from the underground water table near the oil spill site.

“Every bucketload of contaminated sand has to be removed from the island by barge, and each bucketload from a front-end loader weighs about one tonne. It’s just an impossible task,” said Mr Trevor Hassard of the Tangalooma Dolphin Education Centre.

The commercial fishing industry has suffered from the incident. Trawlers won’t resume operations until Sunday evening, and any catches will be tested for human consumption.

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U.S. Attorney General Jeff Sessions bows out of Russia investigation over contact with ambassador

Sunday, March 5, 2017

U.S. Attorney General Jeff Sessions on Thursday recused himself from any investigation of Russia’s alleged interference in the 2016 U.S. presidential race but reserved the right to make decisions “on a case-by-case basis” about other issues involving Russian hacking.

I have decided to recuse myself from any existing or future investigations of any matters related in any way to the campaigns for President of the United States

“I have decided,” Sessions told the press, “to recuse myself from any existing or future investigations of any matters related in any way to the campaigns for President of the United States.”

During his confirmation hearing on January 10, Sessions was asked about contact between the Russian government and now-President Donald Trump’s campaign. He responded, “I did not have communications with the Russians.” However, he met twice with Russian ambassador Sergey Kislyak, whom the U.S. Justice Department considers a spy. A spokesperson for Sessions said those meetings, like meetings he had with other ambassadors, were in his capacity as a Senator and member of the Armed Services Committee and not as a member of the Trump campaign, which is why he feels his answer was not truly misleading.

House Minority Leader Nancy Pelosi has called for Sessions to resign entirely. Democrats want a special prosecutor to investigate the Russians’ role in the election, but there are not enough of them in Congress to force this. Sessions’ statement delegated his duties to his acting deputy, Dana Boente.

“Jeff Sessions is an honest man. He did not say anything wrong. He could have stated his response more accurately, but it was clearly not intentional […]” said President Trump in an official statement defending Sessions. “[The Democrats] lost the election and now, they have lost their grip on reality. The real story is all of the illegal leaks of classified and other information. It is a total witch hunt!”

Jeff Sessions is an honest man. He did not say anything wrong. He could have stated his response more accurately, but it was clearly not intentional

Although Sessions has recused himself from any such investigation, it was not disclosed to the public whether the Justice Department is, in fact, conducting one. The U.S. Federal Bureau of Investigation has done some exploration and House Intelligence Committee has commissioned an inquiry, but Sessions’ statement reads “This announcement should not be interpreted as confirmation of the existence of any investigation or suggestive of the scope of any such investigation.”

Earlier this year, National Security Advisor Michael Flynn resigned, also over concerns of impropriety related to contact with the Russian ambassador.

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Cargo ship Arctic Sea may be found

Saturday, August 15, 2009

A cargo ship spotted off the African island nation of Cape Verde could be the missing MV Arctic Sea.

The Maltese flagged MV Arctic Sea disappeared off the French coast sometime after July 29. Owned by the Russian Arctic Sea company she was operated by the Finnish Solchart Management company and had a Russian crew.

French intelligence sources have found a ship matching the Arctic Sea’s description about 400 Nautical miles north of São Vicente.

The Arctic Sea was on a scheduled route from the Finnish seaport of Pietarsaari to the Algerian seaport of Béjaïa with a cargo of timber when it was boarded in Swedish waters between the islands Öland and Gotland on the night of July 24. The alleged boarders left the ship the same day according to its crew and the ship continued her voyage although it would have been expected to anchor at the nearest port.

The last official contact with the ship was with the Maritime and Coastguard Agency in Britain on July 28. Viktor Matveyev, the director of Solchart Management says the ship radioed that it was off the coast of Portugal on July 31. The 98-meter-long ship has so far not reached the Straits of Gibraltar and is now being sought by the Portuguese Navy and Russian Navy.

If proven this could be the first case of piracy in Europe in the modern era. There is speculation as to the reason for the ship’s hijacking, as its cargo of wood, valued at 1.3 million euros, is not especially valuable. Suggestions include possible contraband, and the possibility of a commercial dispute between the crew or some other party and the ship’s owners.

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Individual Dental Insurance Plan Insurance For Dental Braces

By Jane A. Smith

The need for well grown teeth that would compliment a beautiful face is now widely perceived to be attainable through the use of dental braces. This is the reason why many children and even young adults have dental braces. With these need, insurance companies have now included dental braces as one item in their coverage to help families with the ever rising cost of dental braces because of its growing demand.

If you have an insurance policy already, try to examine the coverage. There are insurances that would tend to cover partially dental care but not to include dental braces. On the other hand, if you are still looking for an insurance coverage, and would need to have dental braces coverage as one of the more important aspect of your family’s coverage, you have to examine the offerings of the various types of insurance offered by insurance companies.

It is better to personally visit the office of the insurance company you are planning to get your insurance and inquire from them all that you would want to know about your dental braces coverage concerns. You have to tell them your concern if how many children do you have that might need dental braces and ask them if what type of insurance would be the best for your need.

[youtube]http://www.youtube.com/watch?v=GLSjIYWkFh8[/youtube]

You can also utilize the internet if you have a connection in your home. Visit the websites of the various insurance companies and study their offerings. There are insurance companies who include dental braces as part of their insurance coverage to a particular type of insurance. You can also find supplementary insurance purposely for dental braces. There are several types and forms of dental brace insurance coverage you can choose from the different sites of insurance companies.

Supplementary insurance for dental braces will be likely if you already have an existing insurance in place and have several children that might need dental braces. Considering the cost of dental brace, there have been several instances that parents would find themselves emptying their pockets of hard earned money to pay for the cost of dental braces that their insurance only partially paid for. Or worse, they would find to their consternation that their dental care coverage do not cover dental braces at all. These situations would be pretty troublesome for parents who would be hard put in looking for money to pay for the cost of dental braces and the corresponding dental service that goes with it.

One of the things that have lent popularity in having dental braces is the fact that it does reshape the face of a young person to become better to look at. A set of teeth that grows outwardly if left unchecked would result to a protruding mouth that is quite not good to look at. With dental braces, this can be corrected. This is why parents with children having signs of outward teeth growth are most likely to subject their children to dental braces.

In this respect, you would do well in getting an insurance that will cover dental braces or a supplemental insurance for it.

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Source: isnare.com

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U.S. President Obama’s farewell address focuses on accomplishment

Thursday, January 12, 2017

United States President Barack Obama gave his official farewell address on Tuesday night from McCormick Place in Chicago, reflecting on personal and national accomplishments. This is expected to be his last major speech before officially handing the reins to president-elect Donald Trump on January 20.

“Its why GIs gave their lives at Omaha Beach and Iwo Jima; Iraq and Afghanistan – and why men and women from Selma to Stonewall were prepared to give theirs as well.”

Obama’s speech was wide-ranging. He thanked his family and the nation, spoke of the need for unity, noted the country’s accomplishments and need for improvement in areas like education and civil rights, and spoke about the need for pride in U.S. accomplishments, citing milestones of U.S. history and of his presidency specifically. “It’s why GIs gave their lives at Omaha Beach and Iwo Jima; Iraq and Afghanistan – and why men and women from Selma to Stonewall were prepared to give theirs as well.”

The president also addressed his country’s troubled history with race and racism, an issue many black citizens feel he has avoided. Despite this, Chauncy Devega of Salon described the president as “a role model of calm, cool reflective black masculinity: a man utterly at home in his own skin.” Obama described the concept of a post-racial U.S. “unrealistic” and particularly cited the need for reform in education and the criminal justice system and greater acceptance of scientific evidence, particularly evidence supporting action to counteract climate change.

However, publications including The Washington Post and Salon have given particular focus to another aspect of the president’s address: the country’s increasing political tensions and controversies involving access to news and information, both accurate and inaccurate. “We become so secure and our bubbles,” said Obama, “that we start accepting only information, whether it’s true or not, that fits our opinions instead of basing our opinions on the evidence that is out there,” calling this trend “a third threat to our democracy.”

The Washington Post characterized Obama’s comment, “If every economic issue is framed as a struggle between a hard-working white middle class and an undeserving minority, then workers of all shades will be left fighting for scraps while the wealthy withdraw further into their private enclaves,” as a “not-so-subtle jab” at the campaign tactics of President-elect Donald Trump. The Telegraph describes Obama’s warnings about the need to protect democracy as “a thinly veiled slight to the divisive rhetoric of Donald Trump’s election campaign, which included attacks on Muslims, the disabled, women and immigrants.” The president went on to call on the public to “reject the first dawning of every attempt to alienate any portion of our country from the rest or to enfeeble the sacred ties that make us one America. We weaken those ties when we allow our political dialogue to become so corrosive […] We weaken those ties when we define some of us as more American than others when we write off the whole system as inevitably corrupt and when we sit back and blame the leaders we elect without examining our own role in electing them. It falls to each of us to be those anxious, jealous guardians of our democracy.”

Despite this, when the mention of Donald Trump brought boos from the crowd, Obama reiterated the importance of the long history of peaceful transfers of power from one president to the next: “No no no no no. […] I committed to President-elect Trump that my administration would ensure the smoothest possible transition, just as President Bush did for me.” However, this was not unaccompanied by a call to action. Near the end of the speech, he insisted citizens dissatisfied with elected officials should “lace up your shoes, grab a clipboard, get some signatures and run for office yourself.”

Overall, the departing president’s speech focused on accomplishment, echoing the “Yes we can” slogan from his 2008 campaign: “If I have told you eight years ago, that America would reverse a great recession, reboot our auto industry, and unleash the longest stretch of job creation in our history. If I had told you, that we would open up a new chapter with the Cuban people, shut down Iran’s nuclear weapons program without firing a shot, take out the mastermind of 9/11[…] If I had told you that we would win a marriage equality and secure the right to health insurance for another twenty million of our fellow citizens. If I had told you all that, you might have said our sights were set a little too high. But that’s what we did.”

But when the crowd began shouting “Four more years! Four more years!” Obama, with a small laugh, answered, “I can’t do that.”

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Six vehicle pileup disrupts traffic on highway in British Columbia

Saturday, March 7, 2009

A six vehicle pile up occurred on the John Hart Highway (British Columbia Highway 97), north of the John Hart Bridge in Prince George, British Columbia, Canada which disrupted traffic during the morning rush hour of March 5, 2009.

No serious injuries arose as a result of the accident, however traffic was reduced to a single lane. Traffic control was conducted by a Royal Canadian Mounted Police officer who was at the scene at the time of the accident (7:45 a.m.). The RCMP cruiser was not one of the vehicles involved in the pile up. The crash was put under investigation by a traffic analyst.

The John Hart Highway connects Prince George,a city of 70,981 according to the 2006 census, with Dawson Creek over a length of approximately 250 miles (400 km). The Northwest Corridor Association saw a C$30 million twinning upgrade to the John Hart bridge which spans the Nechako River, a tributary of the Fraser River. The bridge is located 5.4 kilometres (3.4 miles) north of Prince George. In March there is a traffic volume of between 11,000 to 12,000 vehicles per day at the north end of the John Hart bridge according to the the British Columbia Ministry of Transportation Average Annual Daily Traffic AADT reports between 1994 and 2000.

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Man bites dog, charged with animal cruelty

December 15, 2004

In a rare case of man-bites-dog, a Gainsville, Florida man was arrested on an animal cruelty charge on Saturday after authorities determined that he had been biting his dog as punishment.

The man — Mount Lee Lacy, age 21 — told officers that biting was an effective form of punishment. He had most recently used biting in response to his dog defecating in the house. He has not yet posted his $25,000 bail.

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