For those championing the concept of the actual infinite in mathematics, and physics, set theory comes to their rescue. In this paper, I will refute a major theorem, or alleged theorem purporting to show that there are different levels of infinity regarding sets, Cantor’s power set theorem. Wilfred Hodges, “An Editor Recalls Some Hopeless papers, “Bulletin of Symbolic Logic, vol. 4, no 1, 1998, pp. 1-16, says while gloating about cranks that attempted to refute Cantor, “None of the authors showed any knowledge of Cantor’s theorem about the cardinalities of power sets.” (p.2) So, let’s examine this. Cantor’s power, or the axiom of powers, states that for any set S, there exists a collection of sets Power (S), which contain in its elements, all of the subsets of the given set S. thus, for example, if S = { a, b }, then Power (S) = {  ϕ, {a}, {b}, {a, b}}, where “ϕ” is the empty set. As the sets get bigger, so does the power set. In fact:

“If S is a finite set with |S| = n elements, then the number of subsets of S is |P(S)| = 2n. This fact, which is the motivation for the notation 2S, may be demonstrated simply as follows, First, order the elements of S in any manner. We write any subset of S in the format {γ1, γ2, ..., γn } where γi , 1 ≤ i ≤ n, can take the value of 0 or 1. If γi = 1, the i-th element of S is in the subset; otherwise, the i-th element is not in the subset. Clearly the number of distinct subsets that can be constructed this way is 2n as γi ∈ {0, 1}.” “Cantor’s diagonal argument shows that the power set of a set (whether infinite or not) always has strictly higher cardinality than the set itself (informally the power set must be larger than the original set). In particular, Cantor’s theorem shows that the power set of a countably infinite set is uncountably infinite. The power set of the set of natural numbers can be put in a one-to-one correspondence with the set of real numbers.”
https://en.wikipedia.org/wiki/Power_set

     Each day I seek out any articles attacking the universities, which have become my special bee in the bonnet. Political correctness insanity is easy to find, as libtardism is everywhere, but those seeing an intrinsic fault in higher education are harder to come by. Education is the cult of our age, and few question the worth of a degree. But, there are some who do:
  https://townhall.com/columnists/johnstossel/2018/05/30/against-higher-education-n2485356

“Today, all Americans are told, “Go to college!” President Obama said, “College graduation has never been more valuable.” But economist Bryan Caplan says that most people shouldn’t go. “How many thousands of hours did you spend in classes studying subjects that you never thought about again?” he asks. Lots, in my case. At Princeton, I learned to live with strangers, play cards and chase women, but I slept through boring lectures, which were most of them. At least tuition was only $2,000. Now it’s almost $50,000. “People usually just want to talk about the tuition, which is a big deal, but there’s also all the years that people spend in school when they could have been doing something else,” points out Caplan in my new YouTube video. “If you just take a look at the faces of students, it’s obvious that they’re bored,” he says. “People are there primarily in order to get a good job.”

     I do not believe that UFOs represent visitation of aliens from other planets. First, the West has more than enough aliens to deal with, trillions too many. Second, why would any creature with more than two neurons to rub together want to visit Earth anyway? Surely, there is no intelligent life on this planet, given human behaviour?
  http://www.shtfplan.com/headline-news/leaked-military-report-ufo-rendezvoused-with-something-big-under-ocean_05302018

“An in-depth government report “prepared by and for the military” and obtained by a Nevada newsroom, details a 2004 incident involving an alleged “UFO” sighting recorded by the US military off California’s coast 14 years ago. Dubbed the “Tic Tac” incident, the unidentified flying object “rendezvouses” with a huge underwater object. So named for the white, fast-moving, mint-shaped object that was involved, the video’s release made waves last year when it was first revealed by the New York Times. Over the course of two weeks in 2004, a 13.7-meter-long (45-foot-long) Anomalous Aerial Vehicle (AAV) defined as “aerodynamic” with “no visible means to generate lift” was detected by US naval ships in short glimpses.

     The leader of the populist alternative for Germany (AfG) party has given an interview to Breitbart London on the question of Western “self-hatred.” This is something which many of us have written about at this site, so it is good to compare notes:
  http://www.breitbart.com/london/2018/05/30/exclusive-alternative-for-germany-co-leader-alexander-gauland-interview/

“When asked about a recent speech by Hungarian Prime Minister Viktor Orbán, in which he declared he would pursue a policy of Christian Democracy, Gauland said: “I’m not someone who can discuss internal Hungarian policy but in this speech you mentioned, he is right. “He says, ‘We don’t accept that we have to take people from a strange culture and we don’t like to accept Muslims. We haven’t opened the border, Merkel has opened the border. That’s their problem and it’s not our problem.’” “We have in Western Europe the problem of self-hate. That’s a problem of Germany because of National Socialism and the murder of six million Jews and in the rest of Western Europe, it is the problem of colonialism, Algeria, India, and all these problems,” he said. “The eastern Europeans haven’t this problem because their identity has been unbroken because they had no colonies, they had no direct part in Hitler’s war, so the national identity of Poland and Slovakia and others is healthy and good. They say, “We don’t want these strange refugees, we don’t welcome them.’”

     I always thought it ironic that a man with the German word “negger’, meaning “black” in his name would have a dark past of racism. I don’t mean this in the way the word is flung around today, but in the sense of a deep hatred of individuals, resulting in verbal abuse. There appears to be evidence, not much  discussed by the mainstream media, that the former body builder, now Left wing attacker of Donald Trump, made aggressive racist remarks to Black bodybuilders, who had shown superior form to him in certain posing contests. Big Arnie has  written other forms of intimidation behaviour off as being part of the psychology of the sport, but he has apparently not been grilled over the coals for this one:
  https://www.smh.com.au/articles/2003/09/09/1062902023663.html
  http://www.drudgereportarchives.com/data/2003/09/08/20030908_143604_ar1.htm

“Another black bodybuilder has come forward claiming that California gubernatorial candidate Arnold Schwarzenegger has a history of making racist comments, the DRUDGE REPORT can reveal. Robby Robinson, one of the most respected and well known of all body builders [a former Mr. America, Mr. World and Mr. Universe titleholder], backs up claims made by fellow black bodybuilder Rick Wayne. “No disrespect to fans of Arnold but Rick’s claim is in keeping with my experiences with the man,” Robinson explains in a message. Robinson says that Schwarzenegger repeatedly directed the term “n**ger” at him.

     Meanwhile back at the ranch,  in minority white London, we have the news of the zombie knive road rager!
  https://www.rt.com/uk/428474-zombie-knife-attack-croydon/ 
  https://www.youtube.com/watch?v=_LzDBNxPQLI

     Here we can see the guy in the blue car clearly in the wrong, dangerously pulling out and knocking the to-be attacker off his bike. The attacker then takes out a large knife and tried to break the car window with this. That hopelessly fails, indicating that he does not know what he is doing and how to correctly use a knife. The knife could break the window, but not how he is doing it. Then, even though the guy in the blue car is safe and could drive off, the driver decides to abandon his car shield and make a run for it, which also defies all rationality. We are seeing natural selection at work. IQ levels have hit the bottom of the wheelie bin. It really is the zombie apocalypse:
  https://gellerreport.com/2018/06/blasted-shotgun-london.html/ 
  https://www.express.co.uk/news/weird/670100/Zombie-apocalypse-happening-NOW-Pastor-claims-as-Hell-breaks-loose-on-Earth 
  https://www.forbes.com/sites/kevinmurnane/2017/01/08/guess-how-many-people-will-survive-a-zombie-apocalypse/#3c9a05d65e40

To The Australian          The proposed new Independent Office for Aboriginal People ('Echoes of Uluru as nascent office hailed for voice to parliament', 7/6) is plainly another step in the ongoing plan to divide this continent into two nations. Those behind this campaign know that in any fairly phrased referendum the vast majority of Australians would oppose such a separation. Thus an approach of 'Fabian gradualism' is being employed. WA Aboriginal Affairs Minister Ben Wyatt ignores the great achievements of British Australia in the pioneering era of our national history and slanderously sums them up as motivated by 'colonial racist and supremacist values'. There is every justification for most Australians to be deeply fearful about the more-or-less open destruction of our great Constitution that is happening. If only public opposition could become 'relentless', for continuing apathy will lead to disaster!
  Nigel Jackson, Belgrave, Vic

To The Age          Greens MP Lidia Thorpe is simply wrong in claiming that Aboriginal people still own Victoria ('Aboriginal treaty must go further: Greens MP', 7/6). Sovereignty of the state has long been vested in Her Majesty the Queen of Australia. The only correct way to change that situation would be by a properly conducted referendum as stipulated by our Constitution. Radical agitators know that no such referendum would give them the result they want, so they are trying all sorts of spurious efforts of de-authorization of our nation, its history and government. Some states claiming without a thread of legal justification to have the right to enact treaties with 'the Aboriginal people' (a community not easily defined) is one such strategy. The Victorian state opposition is right that the making of treaties is a prerogative of the federal government.
  Nigel Jackson, Belgrave, Vic

To The Australian          John Carroll is too pessimistic about what is happening to Western European culture and civilization (“Disdain for best of the West”, 9-10/6). He claims, without producing justifying evidence, that ‘the Church, the one institution that could replace the university as the master teacher of eternal truths, is in a state of hopeless disrepair.’ However, he totally ignores the profound restorative work that has been achieved by giant intellects working within the Christian sacred tradition, such as T. S. Eliot, Russell Kirk and Alexander Solzhenitsyn, and those working within a pan-religious context such as Rene Guenon, Ananda Coomaraswamy and Frithjof Schuon. Carroll’s pessimism extends to Western art, when he claims that ‘the high priest of modernism, Marcel Duchamp... has carried the day both in contemporary art and in university arts faculties.’ He says nothing about the greatest painter of last century, Andrew Wyeth, or about Balthus, or about the fact that representational painting of very high quality has continued to be done in all Western nations. It needs to be asked why so many great creators have been marginalized. That requires an analysis of the political orders of these nations (‘democracies’ in name only) and the international financial system, corruptly based on usury, which controls them. Carroll ignores that too.
  Nigel Jackson, Belgrave, Vic

     At this advanced state of the decay game, we should not be surprised to see projects that give people jobs sacrificed at the altar of the environment:
  http://www.abc.net.au/news/2018-05-31/proposal-to-expand-christmas-island-phosphate-mine-knocked-back/9820382

“The community of Christmas Island could face an economic collapse after a proposal to expand the island’s phosphate mine was knocked back over fears of the impact to the island’s wildlife, including its world-famous red crabs. Phosphate Resources Limited has been mining on the Indian Ocean Territory for more than 100 years, but claims it needs to clear more crown land to access new deposits in order for the operations to remain viable. Under the expansion, the company wanted to clear an additional 6.83 hectares of land to undertake exploration drilling to determine the extent of more phosphate resources, in what has been described as a pristine area of the island.”

     How absurd does it get? In California it is now illegal to have a shower and do laundry on the same day! This is to conserve water, even in times where there is no water  shortage, “just to be sure”:
  https://www.zerohedge.com/news/2018-06-03/its-now-against-law-california-shower-and-do-laundry-same-day

“Senate Bill 606 establishes a “governing body” to oversee all water suppliers, both private and public and will require extensive paperwork from those utility companies. Assembly Bill 1668 is where it gets personal.  This establishes limits on indoor water usage for every person in California and the amount allowed will decrease even further over the next 12 years. The bill, until January 1, 2025, would establish 55 gallons per capita daily as the standard for indoor residential water use, beginning January 1, 2025, would establish the greater of 52.5 gallons per capita daily or a standard recommended by the department and the board as the standard for indoor residential water use, and beginning January 1, 2030, would establish the greater of 50 gallons per capita daily or a standard recommended by the department and the board as the standard for indoor residential water use. The bill would impose civil liability for a violation of an order or regulation issued pursuant to these provisions, as specified. If you’re wondering how the government would know how much water your family is using, the utility providers will be obligated to rat you out of face massive fines. And they’re encouraged to spy in all sorts of creative ways. They “shall use satellite imagery, site visits, or other best available technology to develop an accurate estimate of landscaped areas.”

     Some great articles about the failure of gun control, with Australia getting a dishonourable mention:
  http://www.breitbart.com/big-government/2018/06/02/obama-encourages-gun-controllers-stay-committed-no-matter-how-long-takes/ 
  http://www.breitbart.com/big-government/2018/06/02/gun-control-fail-shooting-attacks-rock-australia-london/
  http://www.breitbart.com/london/2018/06/03/a-weekend-in-london-man-shot-in-face-woman-slashed-attempted-murder/

“Australian police discovered the bodies of seven mass shooting victims on May 11, and on May 31, a machine gun attack in London left a man in this twenties fighting for his life. These shootings are occurring in nations the left has long held up as having the kinds of gun control America should implement. For example, on October 16, 2015, during a campaign stop in New Hampshire, Hillary Clinton described Australia’s confiscatory approach to gun control and said that “it would be worth considering doing it on the national level” here. And on July 5, 2016, Breitbart News reported that gun-toting action star Matt Damon used the Australian premiere of Jason Bourne to praise that country’s gun controls. Stuff magazine quoted Damon saying, “You guys did it here in one fell swoop and I wish that could happen in my country, but it’s such a personal issue for people that we cannot talk about it sensibly. We just can’t.”

     It is good to see Ron Paul plunging into battle on the threat to freedom that a cashless society will bring. Many of us have said the same, but here is the take from across the lake:

“The crash of the dollar is not a matter of if…but when! The modus operandi for the inner cabal of the global elite is and always has been to provide order out of chaos…sometimes the chaos happen organically and sometimes it has to be created. Money has always been used as their greatest mechanism for control ever since the introduction of usury in the ancient world.”
https://goldsilver.com/blog/dr-ron-paul-on-the-coming-dollar-crash-and-cashless-society/

     A very good question is raised here; what is being done about the authorities who turned a blind eye to the paedophilic grooming rape gangs in Britain. Read on:
  https://www.gatestoneinstitute.org/12435/rape-gangs-oxford

“What price has been paid, is being paid, or might be paid at some stage, by all those public officials who tacitly or otherwise allowed these modern-day atrocities to go on, doing nothing to stop them? The policemen, politicians, council workers and others who were shown to have failed time and again. They have never been sentenced to prison for any of their oversights -- and perhaps criminal charges (not even charges of criminal negligence) could never be brought against them. It is worth asking, however, if any of these people’s lives, career paths, or even pension plans were ever remotely affected by their proven failure to confront one of the greatest evils to have gone on in Britain. That is the mass rape of young girls motivated by adults propelled by (among much else) racism, religiosity, misogyny and class contempt. Perhaps the post grooming-gang career of just one public official might help to answer that question.

     Colony collapse disorder, which is threatening bee populations across the globe, continues to be an unsolved problem, but a problem that will ring in an era of hunger, if not starvation, if bee populations continue to crash. Around one third of all humanity’s food, and 80 percent of crops are pollinated by bees, so the best case scenario would be economic collapse:
  http://readynutrition.com/resources/will-the-extinction-of-bees-really-mean-the-end-of-humanity_04062018/ 
  http://news.cornell.edu/stories/2012/05/insect-pollinators-contribute-29b-us-farm-income

     While many internet sites like to take a quick fix approach to this problem, putting the blame on neonicotinoid chemicals alone, a search of the scientific literature reveals that there are probably a whole range of insecticides, and maybe herbicides, and perhaps industrial pollution, which are impacting upon the honey bee:
  https://fordham.bepress.com/environ_2015/57/

     It is straight out of the Terminator movies, with advances in artificial intelligence destroying humanity, the ultimate hubris:
  http://collapse.news/2018-06-03-ai-could-spark-a-nuclear-apocalypse-by-2040.html

“A new study conducted by the RAND Corporation warns that advances in artificial intelligence could spark a nuclear apocalypse as soon as 2040. The researchers gathered information from experts in nuclear issues, government, AI research, AI policy, and national security. According to the paper, AI machines might not destroy the world autonomously, but artificial intelligence could encourage humans to take apocalyptic risks with military decisions. Humans will inevitably trust in AI technology to a greater extent, as advances are made in AI for detection, tracking, and targeting. The newfound data intelligence that AI provides will escalate war time tensions and encourage bold, calculated decisions. As armies trust AI to translate data, they will be more apt to take drastic measures against one another. It will be like playing chess against a computer that can predict your future moves and make decisions accordingly. Since 1945, the thought of mutually assured destruction through nuclear war has kept countries accountable to one another. With AI calculating risks more efficiently, armies will be able to attack with greater precision.

     If women need any more proof of the harmfulness of feminism, which has nothing to do with women’s freedom, consider the latest remarks from that former Australian feminist icon, then tell me that political correctness has not self-destructed:
  https://metro.co.uk/2018/05/31/germaine-greer-tells-hay-literary-festival-rape-just-bad-sex-7592531/?ito=cbshare

“Germaine Greer has sparked anger after she said that rapists should be given an ‘R’ tattoo on their cheek instead of being jailed in a speech at the Hay Literary Festival. Greer, who was raped at a party days before she turned 19, said that most rape was actually just ‘bad sex’ and ‘don’t involve any injury whatsoever’. She told an audience: ‘We are told it’s one of the most violent crimes in the world – bullshit’. She added: ‘Most rape is just lazy, just careless, just insensitive. ‘Every time a man rolls over on his exhausted wife and insists on enjoying his conjugal right, he is raping her. It will never end up in a court of law. ‘Instead of thinking of rape as a spectacularly violent crime – and some rapes are – think about it as non-consensual, that is, bad sex.”

     The view has been advanced, even by the racial realist types at American Renaissance that Blacks have superior athletic ability to Whites. The only objection in the mainstream to this, is that it is a subtle racist claim, that Blacks do not therefore match Whites in intellectual ability, which hardly follows as a logical inference. Otherwise the system is happy to go along with this, another dig at Whites. However, here is a recent article from the Canadians, led by that great intellect Professor Ricardo Duchesne, refuting that:
  https://www.eurocanadian.ca/2018/06/whites-are-better-in-almost-all-sports-and-strongest-in-world.html

“The scientific evidence is decisive: Whites, both males and females, dominate almost all the competitive sports. Blacks are very good in some sports, the sports that American media moguls love to showcase, basketball and football. They are also dominant in some athletics, but mainly just running. They are not good in all jumping competitions, white males and females absolutely dominate the pole vault Olympic medals. The constantly repeated phrase that “white men can’t jump” is a another lie of the establishment: White athletes have dominated the high jump. Just check the male and female Olympic medalists. As far as “major sports” are concerned: Whites dominate Hockey and Soccer and Tennis and Golf, and, to a considerable degree, Baseball as well. The majority of the top 100 Soccer players in the world are white. While some blacks have been excellent at Baseball, in a very good assessment “ranking the 25 best Baseball players of all time”, Whites outnumber non-whites 20 to 5.

     Is there a metaphor buried in this story, somewhere, anywhere? A man kills a snake, cuts off its head, but then, by accident he gets bitten by the severed head. So, how is this possible? Demonic magic? The New World Order? Globalism? White privilege? Political correctness in the land of the snakes and ladders? No. No:
  https://www.livescience.com/62771-decapitated-rattlesnake-bites-man.html?utm_source=ls-newsletter&utm_medium=email&utm_campaign=20180608-ls

“The answer has to do with the snake’s physiology. Snakes are cold-blooded creatures, meaning they get heat from external sources, such as sunlight and warm surfaces. (The scientific term for this is “ectotherm.”) Because snakes don’t need to internally maintain their body temperature, they don’t need as much energy — which is burned up using oxygen — as warm-blooded “endotherms” do, said David Penning, an assistant professor of biology at Missouri Southern State University who wasn’t involved in the Texas case. If a mammal loses its head, it will die almost immediately. But snakes and other ectotherms, which don’t need as much oxygen to fuel the brain, can probably live on for minutes or even hours, Penning said. “Severing the head isn’t going to cause immediate death in the animal,” Penning told Live Science. “It doesn’t need that much oxygen in the first place.” Granted, the snake might not have been self-aware that it no longer had a body. Rather, it likely just felt the pain from the decapitation and then tried to defend itself, Penning said.”

     Put this one in the eternal puzzle department:
  https://www.theorganicprepper.com/swedish-home-guard-mobilized/ 
  https://www.forsvarsmakten.se/sv/aktuellt/2018/06/historisk-ovning-forsvarsmakten-testar-hemvarnets-beredskap/

“For the first time since 1975, the Armed Forces carry out an unannounced emergency preparedness control of the entire Hemvärnet. All staff around Sweden who are part of one of the 40 home war battalions and who have the opportunity to attend the evening of 5 June and during the national day will be in charge of service. The alarm is ordered by the Armed Forces and participation in the exercise is voluntary. “We are committed to strengthening Sweden’s defense and increasing our operational capabilities. This is a way to do it. This exercise is great in several ways. We are testing the emergency chain for almost half our intervention organization, we have not done since 1975, says Micael Bydén, the commander. Initially, staff – from north to south – will be contacted and invited to stand for service. Thereafter, relations will begin to solve tasks, such as protection, guarding and patrolling. During the national day, home care personnel will be seen in many places around the country, from ports and airports to streets and squares. Since it is a voluntary exercise, the Armed Forces can not force anyone to settle, but the chief commander shows great confidence in his staff.”