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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Italian police charge homeless local with murder of US exchange student

Friday, July 8, 2016

On Tuesday, Italian police charged homeless forty-year-old Massimo Galioto with the aggravated murder of Beau Solomon, a college student from Wisconsin, US. The police arrested the man after finding the student’s body in the Tiber River in Rome on Monday. The defendant has attorney Michele Vincelli.

According to reports, Massimo Galioto is homeless and lived in a tent under a bridge. Italian police said two witnesses reported they saw someone being thrown from the Garibaldi bridge into the Tiber River. The authorities also reportedly obtained CCTV footage near the bank of the river, showing the incident.

A homeless woman sharing a tent with Massimo Galioto said she saw Massimo Galioto and Beau Solomon fighting each-other, and then saw Beau Solomon fall into the river. The woman alleged Beau Solomon was drunk and the company included two people from North Africa.

On Monday, Italian police found Beau Solomon’s body near Guglielmo Marconi bridge about three miles (five kilometres) downstream from Trastevere, where the student was last seen at about 1AM in G-Bar in Piazza Trilussa on Friday night after his first day in Italy. Solomon was beginning a summer school at John Cabot University. His parents arrived on Monday using emergency passports.

The body had no mobile device or wallet, suggesting to local authorities it was a robbery. The body also had a head wound and bloody shirt, the victim’s 23-year-old brother Cole Solomon told the Milwaukee Journal Sentinel on Monday.

Last week on Friday morning, Beau Solomon’s parents received bank alerts. According to the student’s brother Jake Solomon, the bank told his parents Beau’s bank card was charged “thousands of dollars”. Authorities later confirmed the amount as about 1,500 euro (about US$1700). The credit card of the victim was charged in Milan over 300 miles away from Rome on Friday.

Beau Solomon was aged 19. He came to Italy to attend summer school on Thursday. Beau Solomon did not attend university student orientation next morning, and the institution reported him missing to the local authorities at 9PM.

Retrieved from “https://en.wikinews.org/w/index.php?title=Italian_police_charge_homeless_local_with_murder_of_US_exchange_student&oldid=4233392”

Tired, Headaches, Irritable, Aches And Pains? It Could Be Candida!

By Willie Jones

Many people suffer from a host of symptoms but are told by Drs. that they cant find anything wrong with them or are misdiagnosed and put on treatments that are not working for them. The difficulty is that the medical profession denies the existence of candida and therefore cannot treat it. You may find the odd healthcare professional that knows about it and will prescribe something for it.

For those of you that are not familiar with Candida, this is what it is and it may be whats bothering you.

Candida albicans is a natural inhabitant, yeast that lives in your colon. It is a small group of parasites that that co-exists with other microbes and friendly bacteria. It thrives in that toxic putrid, damp waste land. For a normally functioning colon candida is not a problem but if you are chronically constipated and backed up or if your immune system is compromised due to bad diet or over use of antibiotics, then Candida can become over abundant and change into its fungal form that can then escape through the intestinal wall and wreak absolute havoc in other parts of your body and you can experience a whole host of symptoms. It is especially insidious because it can change its form to survive much like certain bacteria can change form and become resistant to antibiotics, Candida can be resistant to antifungal. When Candida begins to proliferate it grows like a weed and sprouts long tendrils that burrow deep into the intestinal walls. This is the beginning of infection and disease. If for some reason Candida gets into your blood stream then the spores get carried along and deposited in another warm moist organ where it takes on a fungal shape and resumes its attack on the host. It can be a formidable enemy that can make your life miserable and it makes it all the more miserable when your doctor has taken a whole battery of tests and tells you there is nothing wrong with you. But you know better! You know how you feel and it is not normal!

If you have candida, you may experience some or all of these symptoms depending on the severity of this parasitic invasion:

-constant fatigue

-sinus problems and lots of mucus

-interrupted sleep

-flu like symptoms

-aches and pains in the joints

-especially tight neck and shoulder and increased headaches

-dental problems

-dark circles under the eyes

-low grade fever

-constipation and or diarrhea

[youtube]http://www.youtube.com/watch?v=A_CJWY1kE6U[/youtube]

-gas and abdominal bloating

-mouth and your eyes feel dry

-unexplained rashes

-dry brittle hair and nails

-feeling foggy

-restless leg syndrome

-irregular heart beat

-numbness or tingling in the extremities

-feeling faint or light headed

-lack of concentration and short term memory loss

-shortness of breath

-sexual dysfunction

-sugar cravings

-white coating on the tongue

-intolerance to smells such as perfume, chemicals and insecticides

-digestive disorders

-depression

-irritable or easily angered

-intolerance to alcohol or gluten

-asthma

-hay fever

-ear infections

These are the most common symptoms reported but there may be others. These symptoms can be moderate to severe. To find out if you have candida you can do a simple home test that has been fairly reliable to determine if candida is a problem for you.

In the morning when you wake up, before you do anything else, work up some saliva in your mouth and then spit it into a glass of clean water. Wait for about 30 minutes then check the water. One of four things may happen. If there are strings coming down from the spit floating in the water or if the water is cloudy or speckled then you may have Candida. If you dont have candida the saliva should just float on top and the water should stay clear.

There are several reasons why candida can become such a problem. One is over use of antibiotics. This kills the friendly flora and allows the rapid growth of candida as does Steroid abuse.

Another major factor is our environment and the changes in the food industry. Exposure to a toxic environment weakens our immune system. Living on the golf course is all nice and pretty but the reality is that you get exposed to the constant spraying of chemicals that you cannot escape from. The industry smoke stacks are built high up but you would be a fool to think it does not affect you. Cars and trucks have been a huge source of pollution for the last 60 to 70 years and we have been lulled to a non thinkingness about it. We just dont have a thought about it when we walk down the street and get bombarded with toxic petro.

It is the same with the food industry. We used to eat wholesome meat, fruit, vegetables and grains that were not tampered with. Now, the major players are finding ways to make food last longer with preservatives, dyes and chemical sprays. Processed food should be a no no for anyone who wants to stay healthy let alone someone who has candida or other related health problems.

What should you do to treat candida?

-Stop eating processed foods. Other than non perishables, just go to the meat and produce department for all your food. Unless you are stocking up for a hurricane or some emergency, I dont suggest you eat anything that is not in its natural form. Organic, raw fruits and vegetables are best but, be careful not to eat too many fruits; they contain a lot of sugar. The fruits that are very high in fiber are blueberries, plums, raspberries and strawberries. cup of theses fruits have more fiber than several bran muffins.

-Stay away from meat that has been fed hormones. If you are going to partake of dairy foods, also get it hormone free.

-SUGAR! Yeast thrives on sugar. It loves sugar and will grow more prolific with sugar products. You will not get rid of candida unless you stop eating those cookies, desserts and chocolates. We rarely ate sugar 80 to 100 years ago, we dont need them now.

-Drink a lot of water. This ensures that toxic material can get removed from the body. Just like a toilet will not be able to remove fecal matter without water, so is it also with the human body. Drink lots of pure water.

-Exercise on a regular basis. This also helps to keep the intestines working correctly, not to mention all the other benefits you get by working out.

-You can jump start your treatments by doing a coffee enema daily for a week possibly two and then once a month for maintenance. Full caffeine organic coffee works best and you should only use filtered water. Coffee enemas help remove impacted fecal matter fairly quickly and may remove the yeast and parasites. There are two herbs that you can add to the coffee solution that make it more effective. Aloe Vera and slippery elm. You can purchase these herbs in capsule form. Take two of each, break open the capsules and pour them into the coffee. They are soothing and help with inflammation.

-Psyllium seed and Bentonite are also good natural sources for cleaning out the colon. Psyllium seed is used as a laxative but make sure that you drink a full glass of water or it can have the opposite effect and constipate you. Bentonite is a volcanic ash that draws toxins to it. The bentonite does not get absorbed into the system so it will be disposed of along with what ever toxins it has attached to it. The problem with these herbs is that although they do work, it can take a long time before it is effective with Candida. It can take up to a year before it is completely handled.

-There is a new product that works much faster and is very effective for a lot of people. This is the Threelac system. Threelac products are very effective based on testimonials and has shown relief in as little as 2 to 3 weeks. There is also Threelac for children. If your child has thrush or diaper rash that does not go away, it is a yeast problem. Results vary from person to person and the degree of severity will also make a difference in how long it takes for recovery. Your body needs the friendly flora to maintain its normal ph balance. Threelacs advanced formulas work to restore your ph balance to help your body recover naturally and quickly.

-Remember, Candida feeds off sugar! Americans eat enormous amounts of sugar and is the biggest single factor in Candida over growth. Candidas appetite for sugar is insatiable. You can reduce (but not completely handle) Candida by cutting out sugar in your diet. Natural fruit and vegetable sugars should be all your body needs.

I hope this helps!

About the Author: Willie Jones is an author/researcher who is dedicated to helping people find the resources, books, news and information on health and wellness.

dietinghq.com/index.php?k=threelac&c=health

Source:

isnare.com

Permanent Link:

isnare.com/?aid=58663&ca=Wellness%2C+Fitness+and+Diet

Desmond Tutu calls for election of African pope

NB this story is also covered in the article Archbishop Desmond Tutu calls for African Pope.Monday, April 4, 2005Retired Anglican Arch-Bishop Desmond Tutu has called for the Catholic church to appoint an African as new pope. “We hope the cardinals when they meet will follow the first non-Italian pope by electing the first African pope,” said Tutu on SABC TV at a press conference in his Cape Town home.

Nigeria’s Cardinal Francis Arinze, currently number four in the church hierarchy, is seen as the best hope for a pope from the third world. If Arinze is elected he will become the first African pope since Gelasius I in 496 AD.

“There should be democracy in the Catholic Church. Europeans should allow an African to become the next pope,” said 21 year old Nigerian student, Ifeoma Ezinwa, at the Saint Monica Catholic Church in Igbogbo, Lagos. “The church is growing in Africa. If Arinze gets to that position, he would work for its faster growth,” she continued.

However Steve Uwagba, a Nigerian accountant, thought that “International politics in the church may not allow him to get the papal seat. The odds of international politics and conspiracy against Africa weigh heavily against him.”

Tutu also added that “We know that [the pope] was a champion for world peace. And more than any other pope [he] went around the world galvanizing the faithful who turned out in droves to meet him. We also want to pay tribute to him for his concern for the unity of humankind. He was the first Pope, I think, to gather together … leaders of other Christian denominations, calling them to prayer for the world,”

The archbishop of Cape Town Njongonkulu Ndungane – Tutu’s successor – offered his condolences to the world’s catholics. “Our sincerest condolences go out to Catholics worldwide on the death of their great leader. We thank God for his ministry and that he has now been relieved from pain,”

Father Stephen Chukwu of St Augustine’s church in Ikorodu on the outskirts of Lagos, Nigeria said to a congregation of three thousand, “The whole world is standing still. People are held spellbound because the mighty has fallen. The whole church mourns because a leader and a revolutionary has gone,” he told the crowd, many of whom wept and sobbed.

“Who would ever believe that a pope could come from outside Rome? He was an ideal man and he led an ideal life. He held tenaciously to the teachings of the Apostles. He was against killing and abortion,” he declared. He was not a friend of the wealthy or the mighty. He was a friend of those in the gutters. He preached and fought for democracy.

After mass Mary Okoli, a 42 year old teacher said “My hope and prayer is that we get an African, especially a Nigerian, to replace him and continue his good work,””We are particularly grateful for the attention he paid to Africa and the developing world during his papacy. His concern for the poor marked him as a truly caring leader and we share the grief and loss of the Catholic Church at his passing. We also pray for the Catholic Church as it contemplates the election of the next Vicar of Christ,” he said in a statement.

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Study says dogs can smell lung and breast cancer

Monday, August 7, 2006

Dogs can be trained to detect early and late stages of lung and breast cancer accurately according to a study published by California scientists in the little-known scientific journal Integrative Cancer Therapies.

The study took place over the last five years at the Pine Street Foundation, a non-profit organization which conducts evidence-based research on integrative medicine (combining complementary and alternative medicine and mainstream medicine). Michael McCulloch and colleagues used three Labrador Retrievers and two Portuguese Water Dogs, both common pets, that received basic behavioral dog training. The researchers trained the dogs to lie down next to a sample from a cancer patient and to ignore other samples.

The samples used were breath samples from 55 patients with lung cancer and 31 with breast cancer — the two types of cancer with the highest mortality rates in the United States.

After the training phase, the dogs’ accuracy diagnosis was tested in a double-blind experiment. Among lung cancer patients, the sensitivity and specificity were 99% accurate and for breast cancer sensitivity was 88% and specificity 98%. Because these figures seem almost too good to be true, cancer experts are the same time baffled and skeptical. The authors of the study themselves also say replication of the study is needed.

Importantly, this was independent of the cancer stage, meaning the dogs were able to pick up the scent of cancer in its early stages. This is important because in many cases, the success of any treatment depends on early diagnosis. However, the researchers don’t believe this will lead to the use of dogs in the clinic soon, rather they want to find out which chemicals are actually sensed by the canines, because they could be used in laboratory assays. “It’s not like someone would start chemotherapy based on a dog test,” Dr. Gansler of the American Cancer Society said, “They’d still get a biopsy.”.

The researchers were inspired by anecdotal reports about dogs detecting cancer. In 1989, a British women consulted with her family physician because her Dalmatian kept licking a mole on her leg. At biopsy it showed to be malignant melanoma. When diagnosed too late this form of cancer has a poor survival rate, but in this case early surgery was made possible, and the women survived. Prior studies showed that breath samples from patients with lung cancer or breast cancer contain distinct biochemical markers. This provides a basis for the hypothesis that some cancer types produce volatile chemicals that dogs could smell. A study published in the British Medical Journal already proved that dogs could use their exquisite sense of smell to detect bladder cancer in urine samples, but they were only correct in 41% of cases, and another study provided preliminary evidence that dogs could detect melanomas.

This doesn’t mean you can show your breasts to your dog and it will tell you if you have cancer, other physicians caution, and scientists do not advise people to train their dogs to sniff for cancer. Unresolved issues from the study include the fact that subjects were required to breathe deeper than normal, so it’s not sure whether dogs can smell cancer in normal breath. Also, whether this is a permanent skill that would be retained by dogs was not tested.

Finally, there are concerns that could arise over liability issues: who would be responsible when the dog makes a mistake?

Current detection methods for both lung and breast cancer are not flawless. For lung cancer, chest X-ray and sputum cytology (detecting cancer cells in coughed up fluid) fail to detect many early cases, and CT scan produces many false-positive results unless combined with expensive PET scans. Although it might be comparing apples and oranges, a $2.5 million CT scanner has an accuracy of 85 to 90%. Mammography also produces false-positive results, and it may be difficult in women with dense breast tissue. As such, another type of “pet”-scan, using dogs as a biological assay, might prove feasible for screening if supported by further research. Current tests are also expensive so the use of dogs for preliminary cancer testing could prove to be an affordable alternative for countries in the developing world.

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A Bathroom Tile

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Theexact tile in a restroom can provide the space, a different feel with itsdissimilar textures and shades. It can moreover define a bathroom

Selectingbathroom tiles can beoverwhelming, particularly if you have lots of options. If you’re planning totile your restroom, here are a number of instructions on how to choose one

Takepictures of your bathroom before you go out to home improvement stores to pickand choose tiles. The photographs will help out salespeople identify with thescope of the project you are undertaking.

Beaware of the varieties of tile you can decide on. Make certain you carry out aline of investigation and search for the following, glass, mosaic, porcelain,natural stone (marble, slate, granite etc), quarry and ceramic tiles.

Glassyceramic tile is a lot used in bathrooms as it is water resistant and lesscostly than other options, however be sure to explore sealants for new kinds,as well. Ceramic is trouble-free to fit and fix, as it’s uncomplicated to cut.

Naturalstone can be an attractive solution for your bathroom providing you are okaywith splurging more money to stick it and make it work. Your local homeimprovement store can also help you choose which kind of tile is finest foryour project and financial plan.

Choosewhether to make use of small, medium or large bathroom tiles. Large tiles are best used in biggerrestrooms, particularly if there is a repeating pattern. Large tiles make aspace appear larger, therefore if you have an average sized restroom; largetiles can visually enlarge the space.

Choosethe shade for your bathroom wall tiles.Ivory, almond, grey and neutral shades are most admired, but don’t be afraid tomake use of gallant shade splashes all over the place. Remember the color of bathroom fittings, faucets and sanitary ware, when selectingshades, as you don’t want them to be at odds.

Thinkabout the texture of the tile and where it will be positioned, before youchoose one. Take care you don’t choose one that will be very slippery whendamp, if it will be placed on the floor just outside the bathtub! Bathroom Showers tiles should have asoft surface to keep away from water and restrain mold growth. Also, ensure thetile is resilient enough, if you will make use of it on a countertop.Countertops are inclined to more deterioration, as items will be placed on topof them.

Wikinews interviews candidate for Cleveland mayor Arthur Kostendt

Monday, June 14, 2021

Arthur Oliver Kostendt, a candidate running in the mayoral election of the US city of Cleveland, Ohio set to take place November 2, discussed his campaign and policies with Wikinews this spring.

According to Cleveland Scene, 29-year-old Kostendt is a member of the Cuyahoga County, Ohio Republican Party but has referred to his campaign as “casual”. According to his web site’s personal biography, he was a cadet for the Army Reserve Officers’ Training Corps (ROTC), scout platoon leader for the 2nd Squadron of the 107th Cavalry Regiment of the Ohio Army National Guard and logistics officer for the 1st Battalion of the 145th Armored Regiment. He served in Kuwait, Iraq, the United Arab Emirates and Saudi Arabia and assisted coalition force detachments in Southeast Asia.

Kostendt is a graduate of the University of Notre Dame and summa cum laude graduate of Cleveland State University. He writes he uses an apostrophe to abbreviate his middle name as “Arthur O’Kostendt” instead of the customary period after the O to emphasise his Irish heritage.

A poll published May 5 by Baldwin Wallace University, which does not feature Mr Kostendt, has Dennis Kucinich and Basheer Jones leading in the mayoral race by 17.8 and 13.3 points, respectively, with a margin of error of up to five per cent either way. 48% of those surveyed were undecided. Incumbent mayor Frank G. Jackson, who won the 2017 Cleveland mayoral election with 59% of the vote, is eligible for a fifth term but announced on May 6 he would retire.

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Two bomb blasts kill at least 17 in Istanbul, Turkey

Monday, July 28, 2008

Two bombs detonated in the Güngören district of Istanbul, Turkey Sunday evening, killing at least 17 people and wounding over 150. The neighborhood targeted is mainly residential, and the victims were civilians. At least five of those killed were children, according to local officials.

This bombing was the worst terrorist attack in Istanbul since the 2003 Istanbul Bombings, in which truck bombs exploded outside two Istanbul synagogues, killing 23 and wounding more than 300. Al-Qaeda claimed responsibility for the 2003 attack.

The initial explosion caused little damage, but attracted crowds of onlookers. The second more lethal blast occurred 10 minutes later, about 50 metres away.

“After the first explosion, I rushed outside to check on my two sons, found both of them. But my elder son insisted on going back to find his father,” said Nimet Arslan to International Herald Tribune. Following the second bomb, she said, “a dark smoke filled the air and all I could see or hear was people screaming.” The elder son suffered a broken leg.

Turkish President Abdullah Gül said in a statement, “Nothing can be achieved by terror, violently claiming lives of the innocent. These attacks show the inhumanity and misery of the assailants.”

It is not yet clear who is responsible, but Turkish authorities suspect the Kurdistan Workers Party (PKK), a Kurdish separatist group. “Of course, there are links with the separatist organization,” the governor of Istanbul province, Muammer Güler said, “It’s surely a terror attack, there’s no doubt.” This follows a recent shooting attack on the United States consulate in Istanbul. The US embassy is in Ankara.

On Sunday, the Turkish military announced that its fighter jets had raided twelve PKK settlements in Northern Iraq, which the PKK uses as a base to launch attacks on Turkey, raising speculation of PKK involvement in this attack. However Zubeyir Aydar, a senior Kurdish militant, denied any involvement in the attacks in a statement to a pro-PKK news agency.

Prime Minister Recep Tayyip Erdo?an visited the site on Monday, calling for calm and nationwide solidarity.

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Creative And Fun Diy Wedding Ideas

Having a budget wedding doesn’t necessarily have to mean you can’t have creative and fun details, including a beautifully made custom wedding dress that comes in well within your budget. Creativity certainly doesn’t have to cost a lot, and if you need to follow a strict budget but still want an elegant and unique wedding, the following DIY ideas could be just what you’re looking for. The tips below will not only spruce up your big day, but will also impress your guests almost as much as your custom wedding dress. Almost…

Mason Jars for Centrepieces, Giveaways, or Thank-you Favours

Mason jars are cheap (especially when bought in bulk) and they can be incorporated in so many ways in the dcor of your reception. They can be used as vases for table centrepieces, as decorations or enclosures for light fixtures, or even as containers for your party favours. It doesn’t take a lot of effort to create an awesome Mason jar giveaway – one quirky idea is to fill them with a cake or cookie mix. Mason jars instantly make any DIY project chic, and the money you’ll save on your home made favours and decor means you can splurge a little more on your custom wedding dress.

One of a Kind Guestbook

If you want to remember all the details of your big day, apart from getting out your custom wedding dress once a year for a whirl, why not create a guestbook for guests to leave you a message? A traditional guestbook might be a little pass, especially if you are aiming for a unique and quirky theme, so an alternative would be to have big bottle in place of a guestbook, and your guests can sign their name on corks, small pieces of paper, or mini scrolls. Afterwards, the bottle makes a great decoration for you to take home and a wonderful remembrance of the most important day of your life spent with loved ones. Another idea for those with a travel-themed wedding is having the guests sign a message on cute stationery, which they then fold into paper planes and place inside a mini suitcase.

Place Card Holder

Making your guests feel special on your big day is a lovely gesture of gratitude for their presence on one of the most important days of your life. Sometimes, something as small as a cute personalised place card holder can make them feel really appreciated. A couple of simple ideas include using tiny pinecones with handwritten cards, or picture frames with their photos instead of names inside. These DIY ideas are easy to create, but they can make all the difference to your guests’ experience.

David Tennant announces exit from Doctor Who

Thursday, October 30, 2008

Actor David Tennant made an announcement Wednesday at the National Television Awards in the United Kingdom that he will end his time portraying the Tenth Doctor on the long-running BBC science fiction drama Doctor Who in 2009. The announcement came as part of Tennant’s speech accepting the outstanding drama performance award at the program.

Tennant, 37, is currently portraying the lead in a production of Hamlet with the Royal Shakespeare Company, and accepted the award by videolink. He was up against Doctor Who co-star Catherine Tate, who portrayed his companion Donna Noble. Doctor Who was recognized with the award for most popular drama program.

I love this show so much that if I don’t take a deep breath and move on now I never will, and you’ll be wheeling me out of the Tardis in my bath chair.

“I love this part, and I love this show so much that if I don’t take a deep breath and move on now I never will, and you’ll be wheeling me out of the Tardis in my bath chair,” said Tennant in his address to the audience in attendance at the Royal Albert Hall. “TARDIS” refers to the time machine and spacecraft operated by Tennant’s character known only as “the Doctor”, and stands for Time And Relative Dimension In Space.

Tennant will again inhabit the TARDIS as the Tenth Doctor for the upcoming Doctor Who Christmas special, “The Next Doctor“, and will portray the Doctor in four additional specials set to air in 2009. A new actor will play the Doctor for the program’s 2010 series.

Tennant had initially been interested in portraying the Doctor in the 2005 series, but that role went to Christopher Eccleston. The series had previously been dormant since 1996, with Paul McGann in the lead role. Tennant has said that it was his childhood dream to play the Doctor. This is not his first time being recognized at the National Television Awards for his role as the Doctor. In 2006 he received the award for most popular actor, and again in 2007. In 2006 Tennant beat out actor Tom Baker as the favorite doctor, in a survey of readers of Doctor Who Magazine.

The Doctor comes from a race of Timelords, and has the ability to “regenerate” and change appearance when his health is failing. Actors including Russell Tovey, James Nesbitt, Paterson Joseph, John Simm and David Morrissey have been mentioned in the media as possibilities to portray the 11th incarnation of the Doctor.

I’ve been lucky and honoured to work with David over the past few years.

Russell T. Davies, the program’s current executive producer, commented to BBC News on the end of the Tenth Doctor and his work with Tennant: “I’ve been lucky and honoured to work with David over the past few years – and it’s not over yet, the Tenth Doctor still has five spectacular hours left! After which, I might drop an anvil on his head. Or maybe a piano. A radioactive piano. But we’re planning the most enormous and spectacular ending, so keep watching.” Steven Moffat will replace Davies as executive director of Doctor Who in 2010.

Tennant began his work as an actor with roles in theatre, and progressed to starring roles on television programs including Blackpool and Casanova. He has recently returned to theatre roles with the Royal Shakespeare Company, and has received praise for his work in Hamlet and Love’s Labour’s Lost.

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