BREAKING: Huge Meteor Explodes Over Russia.
Phil Plait has an excellent collection of Youtube videos up at the above post showing the Russian meteor.
He also explains that it is unlikely to be associated with the asteroid due to skirt the Earth tomorrow morning; but as he says, it's quite a coincidence.
And quite scary when you consider this meteor would not have been so big, yet the shock wave seems to have broken a lot of glass.
Update: How can I not embed one of the compilation clips for this fantastic looking event:
Also - isn't it weird how, in all of these clips, you don't see cars stopping and folks looking at the sky? Are Russians so pessimistic (or phlegmatic) that something that has a fair resemblance to a morning nuclear strike just causes them to shrug their shoulders? "Oh, Viktor, if we're lucky, maybe work will finish early today."
Further Update: I dunno, the world seems to be a dangerous place this week. Lightning strikes on the Vatican, asteroids passing so close I think I felt the breeze off it, and meteors. Time to consider this important question from 1980 which I stumbled across last night:
(And readers might also be amused to read the top comment about that clip on the Youtube site.)
Update: for reasons I can't work out, on my Android tablet only, this second clip sometimes comes up as Blue Oyster Cult, not the intended Safety Dance by Men Without Hats.) Why would that be?
Friday, February 15, 2013
Andrew Bolt, Watts up With That crowd lose again
RealClimate: Urban Heat Islands and U.S. Temperature Trends
A new analysis of the US temperature record concludes:
He has been spending days demanding apologies from people who have been disputing the accuracy of the statement that there has been a 16 year pause in global warming.
Hey Andrew, why don't you lead by example: in 2011 in a series of posts at this blog (see one of them here) and in a series of comments I left at your blog, I pointed out that you had interviewed Anthony Watts in 2010 and he finished with the statement that he believed up to .5 of a degree (about 2/3 of 20th century warming, you added) of the increased temperature in the US could be due to poor siting of thermometers at weather stations.
Andrew Bolt, you have never corrected the Watts' wildly incorrect estimate, despite repeated invitations in your blog comments threads to do so. It was particularly worthy of comment because Watts' own co-authored paper had, within a surprisingly short time of his claim in Australia, disproved his long campaign alleging that poor siting of thermometers was a huge issue that could debunk global warming - a campaign which you also promoted for years, following his lead.
Bolt is an extreme hypocrite, and has become an obnoxious commentator on all matters political.
A new analysis of the US temperature record concludes:
The simple take-away is that while UHI [Urban Heat Island] and other urban-correlated biases are real (and can have a big effect), current methods of detecting and correcting localized breakpoints are generally effective in removing that bias. Blog claims that UHI explains any substantial fraction of the recent warming in the US are just not supported by the data.Andrew Bolt should be interested in particular.
He has been spending days demanding apologies from people who have been disputing the accuracy of the statement that there has been a 16 year pause in global warming.
Hey Andrew, why don't you lead by example: in 2011 in a series of posts at this blog (see one of them here) and in a series of comments I left at your blog, I pointed out that you had interviewed Anthony Watts in 2010 and he finished with the statement that he believed up to .5 of a degree (about 2/3 of 20th century warming, you added) of the increased temperature in the US could be due to poor siting of thermometers at weather stations.
Andrew Bolt, you have never corrected the Watts' wildly incorrect estimate, despite repeated invitations in your blog comments threads to do so. It was particularly worthy of comment because Watts' own co-authored paper had, within a surprisingly short time of his claim in Australia, disproved his long campaign alleging that poor siting of thermometers was a huge issue that could debunk global warming - a campaign which you also promoted for years, following his lead.
Bolt is an extreme hypocrite, and has become an obnoxious commentator on all matters political.
Thursday, February 14, 2013
Wednesday, February 13, 2013
Great moments in science fiction - Part 1
This could keep me entertained for a while: I see that Project Gutenberg has a whole science fiction bookshelf set up now. Most of the stuff is old, although there are some big name authors in there.
So, I'm just looking at titles of stories and books I have (mostly) not heard of before, and finding some great bad lines. The first:
So, I'm just looking at titles of stories and books I have (mostly) not heard of before, and finding some great bad lines. The first:
“A quantum jump—that’s the way to beat the Reds,” the colonel had said a thousand times. His well-worn expression had nothing to do with quantum mechanics—the actual change in atomic configuration due to the application of sufficient energy. Rather, it was a slang expression referring to a major advance in inter-planetary travel due to a maximum scientific and technological effort.And that was 1958. Wait 'til you see what the 1930's and 40's bring me.
Robot rodent
One Per Cent: Robotic tormenter depresses lab rats
Well, the article is short on details, but the key point is that the Japanese have designed a rat robot whose task it is to depress other rats.
Other ways of inducing rat depression sound rather crude:
The article does go on to note another report that shows the problems medical researchers face when relying on rodent models for human diseases. It starts:
Well, the article is short on details, but the key point is that the Japanese have designed a rat robot whose task it is to depress other rats.
Other ways of inducing rat depression sound rather crude:
Rats and mice get their sense of smell severed to induce something like depression, or are forced to swim for long periods, for instance. Other methods rely on genetic modification and environmental stress, but none is entirely satisfactory in recreating a human-like version of depression for treatment. Hiroyuki Ishii and his team aim to do better with WR-3.I feel sorry for the rats.
The article does go on to note another report that shows the problems medical researchers face when relying on rodent models for human diseases. It starts:
For decades, mice have been the species of choice in the study of human diseases. But now, researchers report evidence that the mouse model has been totally misleading for at least three major killers — sepsis, burns and trauma. As a result, years and billions of dollars have been wasted following false leads, they say.A bit of a worry.
More Popery stuff
John Paul II vs. Benedict XVI: Popes, abdication, and Catholic hypocrisy. - Slate Magazine
Saletan is right - some Catholic writers are doing (not so convincing) rhetorical distortions to explain why it was right for JPII to hang on to the job til death, and also right for Benedict to let it go.
I think that most of the laity in fact thought it wasn't particularly wise of JPII to hold onto it to the end. In contrast, Benedict gets brownie points from most Catholics, I think.
Saletan is right - some Catholic writers are doing (not so convincing) rhetorical distortions to explain why it was right for JPII to hang on to the job til death, and also right for Benedict to let it go.
I think that most of the laity in fact thought it wasn't particularly wise of JPII to hold onto it to the end. In contrast, Benedict gets brownie points from most Catholics, I think.
A Pope Benedict explanation
Pope Benedict’s resignation: Why the pontiff failed to complete his reforms of a wounded Catholic Church. - Slate Magazine
Despite his pre-Papal reputation as an enforcer for rigid orthodoxy, at the time he was made Pope, I remember Paul Collins saying that he was a more conciliatory figure between the liberals and conservatives in the Church than people realised.
The article above from Slate really confirms this: pointing out that nearly all of Ratzinger's time in the Church during and since Vatican II has been concerned with this unresolved issue of how the Church responds to "modernity", and has been about trying to find a middle way.
It is well worth reading.
I found Pope Benedict a much more likeable Pope than I expected. Sure, he's stuck on views on reproduction, contraception and sexuality which have rapidly changed in the laity he leads, but there were signs even there that he saw nuance, with his recent comment regarding condom use. He specifically supported international action on environmental issues including, of course, the key one of greenhouse gases. I think he made statements consistent with the Church's general concern about unfettered free markets hurting people. (Which probably fell on deaf ears with the American Catholic Republican dills who think Ayn Rand had something useful to tell them.) He even made a sort of semi approving statement regarding Teilhard de Chardin, who I think will prove to be an important figure in a re-framing of Catholic thought and theology as response to evolution. (At its heart, I think the Catholic issue with "modernity" does come down to the unresolved issue of how the revolution in the scientific understanding of the universe and biology affects the doctrine of Original Sin, with knock on effects for the New Testament and subsequent Church understanding of the role of Jesus.)
So there was quite a lot to like, really.
The task of the new Pope will be extraordinarily hard. The truth is, if you do allow all liberal and progressive elements to have their way under the umbrella of the Church, they can end up talking themselves into nonsense positions, such as saying it doesn't even matter whether Jesus really existed. (See my old posts on what happened with St Mary's Church at South Brisbane.) Weaving a way between giving conscience and woolly spirituality full sway on the one hand, while having a belief community that shares common values and understandings of why they join together on the other, is not an easy job....
Update: further support for the "Pope Benedict was more liberal than you thought" position is to be found in this article at Salon. I'll quote their section on economics in particular:
Despite his pre-Papal reputation as an enforcer for rigid orthodoxy, at the time he was made Pope, I remember Paul Collins saying that he was a more conciliatory figure between the liberals and conservatives in the Church than people realised.
The article above from Slate really confirms this: pointing out that nearly all of Ratzinger's time in the Church during and since Vatican II has been concerned with this unresolved issue of how the Church responds to "modernity", and has been about trying to find a middle way.
It is well worth reading.
I found Pope Benedict a much more likeable Pope than I expected. Sure, he's stuck on views on reproduction, contraception and sexuality which have rapidly changed in the laity he leads, but there were signs even there that he saw nuance, with his recent comment regarding condom use. He specifically supported international action on environmental issues including, of course, the key one of greenhouse gases. I think he made statements consistent with the Church's general concern about unfettered free markets hurting people. (Which probably fell on deaf ears with the American Catholic Republican dills who think Ayn Rand had something useful to tell them.) He even made a sort of semi approving statement regarding Teilhard de Chardin, who I think will prove to be an important figure in a re-framing of Catholic thought and theology as response to evolution. (At its heart, I think the Catholic issue with "modernity" does come down to the unresolved issue of how the revolution in the scientific understanding of the universe and biology affects the doctrine of Original Sin, with knock on effects for the New Testament and subsequent Church understanding of the role of Jesus.)
So there was quite a lot to like, really.
The task of the new Pope will be extraordinarily hard. The truth is, if you do allow all liberal and progressive elements to have their way under the umbrella of the Church, they can end up talking themselves into nonsense positions, such as saying it doesn't even matter whether Jesus really existed. (See my old posts on what happened with St Mary's Church at South Brisbane.) Weaving a way between giving conscience and woolly spirituality full sway on the one hand, while having a belief community that shares common values and understandings of why they join together on the other, is not an easy job....
Update: further support for the "Pope Benedict was more liberal than you thought" position is to be found in this article at Salon. I'll quote their section on economics in particular:
In countless speeches and letters, Benedict expressed an economic ethic that Fox News would label socialistic. In just that one address to the diplomatic corps, for instance, Benedict stressed the importance of universal education; the need for “new rules” stressing ethics over balance sheets to govern the global financial system; and the importance of fighting climate change in tandem with global poverty.
Sure, he phrased these views in terms of general principles rather than specific policy demands, and they happen to be very much in keeping with the long history of Catholic social teaching. But they were, all the same, not exactly a consensus view for an international Catholic audience that includes millions of people living in countries that do not educate girls. And they are certainly not a consensus view in places, like the U.S., where religious traditionalism has made common cause with laissez-faire economics to a much greater degree than it has in Benedict’s Germany.
John Paul II won the love of American conservatives through his Cold War alliance with Ronald Reagan; Benedict, coming to the papacy during the Bush years, played a rather different tune on issues dear to the right, from preventive war to unrestrained markets. “In many respects, democratic socialism was and is close to Catholic social doctrine,” he wrote just before his papacy, “and has in any case made a remarkable contribution to the formation of a social consciousness.”
Dogs understand human perspective, say researchers
BBC News - Dogs understand human perspective, say researchers
Dogs are more capable of understanding situations from a human's point of view than has previously been recognised, according to researchers.They found dogs were four times more likely to steal food they had been forbidden, when lights were turned off so humans in the room could not see.
This suggested the dogs were able to alter their behaviour when they knew their owners' perspective had changed....
It found that when the lights were turned off, dogs in a room with their human owners were much more likely to disobey and steal forbidden food.
The study says it is "unlikely that the dogs simply forgot that the human was in the room" when there was no light. Instead it seems as though the dogs were able to differentiate between when the human was unable or able to see them.
Tuesday, February 12, 2013
What does Sheridan know?
Administration was not Benedict's forte | The Australian
What a weird little column by noted [/sarc] Papal commentator Greg Sheridan about Pope Benedict's resignation.
He also seems to be a paid PR consultant to George Pell.
I think it's hard to imagine Cardinal Pell having any support for the top job now, given his recent less than convincing performance on the Australian franchise of the Church's child abuse scandal. But how much Australian TV other Cardinals watch is probably doubtful.
Update: I see Pell is way, way down the list as far as the bookies are concerned. Good. (Funny to see Lance Armstrong on the list. Maybe he's been injecting holy water.)
What a weird little column by noted [/sarc] Papal commentator Greg Sheridan about Pope Benedict's resignation.
He also seems to be a paid PR consultant to George Pell.
I think it's hard to imagine Cardinal Pell having any support for the top job now, given his recent less than convincing performance on the Australian franchise of the Church's child abuse scandal. But how much Australian TV other Cardinals watch is probably doubtful.
Update: I see Pell is way, way down the list as far as the bookies are concerned. Good. (Funny to see Lance Armstrong on the list. Maybe he's been injecting holy water.)
Monday, February 11, 2013
Oh dear, Japan...
Shops tout schoolgirls offering shady 'refreshment' services to men - AJW by The Asahi Shimbun
Japan's reputation for having lots of men willing to engage in pretty immature fantasy continues:
(I must admit, though, it does remind me of an episode of Frasier, in which Niles made a confession to his brother about being so desperate he was paying women to touch him - via manicure.)
Japan's reputation for having lots of men willing to engage in pretty immature fantasy continues:
Tokyo police have started to crack down on the rapidly booming "JK rifure" industry, where girls clad in high school uniforms are paid to massage the limbs of male customers or lie alongside them in private rooms....A seventeen year old girl's head on your arm for 10 seconds for $10? Talk about desperate for contact, or any kind.
An Asahi Shimbun reporter was dispatched to one of the JK rifure shops in Akihabara.
A girl dressed in a sailor-style school uniform introduced herself as a 17-year-old, second-year senior high school student in a second-floor apartment of a multi-tenant building. Hit songs of AKB48, a popular all-female group of young idol singers that perform in an Akihibara theater, were playing in the background.
"Do you know about 'options'?" she asked the reporter in her cramped partition, about the equivalent of one tatami mat, separated by curtains. She pressed the reporter to order optional services, such as a light hug and lying with her head resting on his arm, both of which can last 10 seconds and cost 1,000 yen ($10.75) each.
(I must admit, though, it does remind me of an episode of Frasier, in which Niles made a confession to his brother about being so desperate he was paying women to touch him - via manicure.)
Full service crossing
I found it surprising to read of this incident in a New York Times account of crossing the Atlantic on Cunard's Queen Mary 2. I suppose I would be less surprised if it was a more "down market" company and ship; but then again I may be being unfair to them too. Here's the story ("Cree" being the writer's wife - age not specified):
What is it about ships (and trains and planes) and sex? We were left to ponder this question with fresh avidity after an unfamiliar QM2 waiter approached Cree early one afternoon while she was reading alone by a window in the ship’s pub.This waiter, Cree reported later, was quite good looking, in a manner that resembled the actor Andy Garcia. He stood weirdly close. He made small talk and ended by remarking, “If there’s anything I can do to make your trip more enjoyable, let me know.” He walked away, then he strode back to Cree 15 seconds later and whispered, making eye contact, “Anything.”This sotto voce invitation was a great gift to us — to Cree, to me, and to a friend, Will, who was traveling with us — because for the rest of the crossing we lasciviously uttered, at least hourly, what we decided should be the new Cunard motto: “Cunard. Anything.”
That's interesting...
Just for those like Rupert Murdoch who say "what's happened to global warming" when they see a big snowstorm in the US, this graph has turned up at Huffington Post and a few other places. It's a wonder this clear increase in extreme precipitation hadn't been noted before (as far as I can recall):
Sunday, February 10, 2013
Kevin still wants revenge
Upload of swearing video was a crime: Rudd - Seven News Queensland
What a silly man is Kevin Rudd. By keeping alive the (not very interesting to anyone other Kevin) intrigue over who got their hands and posted his sweary video last year, he's making it clear he wants revenge and that it's still a party with an internal war going.
Maybe it's a good thing: surely his supporters in Parliament can't think it's wise of him to still be stamping his feet about this? Will it convince them that it's really not a good idea to see his return as leader? Maybe they'll finally shut up.
What a silly man is Kevin Rudd. By keeping alive the (not very interesting to anyone other Kevin) intrigue over who got their hands and posted his sweary video last year, he's making it clear he wants revenge and that it's still a party with an internal war going.
Maybe it's a good thing: surely his supporters in Parliament can't think it's wise of him to still be stamping his feet about this? Will it convince them that it's really not a good idea to see his return as leader? Maybe they'll finally shut up.
Saturday, February 09, 2013
No need for smoke signals from Rupert
Gee, Rupert Murdoch going on Twitter has sure made it easy for his editors to know which way to slant their coverage, hasn't it? No more second guessing what will please him.
Of course, the highly slanted coverage of global warming/climate change over the last few years in the likes of The Australian and on Fox News indicated that he had personally gone cool (ha ha) on the topic, after being a "believer" in the need for global action on emissions. He professed to having left skepticism behind in 2006.
So how's Rupert feel about it now? Well, we learned in 2011 that Fox News was explicitly under management directions to pooh-pooh climate change:
But some of the latest Twits from Rupert directly show his mindset:
Rupert needs to read more sources other than his own papers and the Wall Street Journal. Probably needs to retire, too.
Of course, the highly slanted coverage of global warming/climate change over the last few years in the likes of The Australian and on Fox News indicated that he had personally gone cool (ha ha) on the topic, after being a "believer" in the need for global action on emissions. He professed to having left skepticism behind in 2006.
So how's Rupert feel about it now? Well, we learned in 2011 that Fox News was explicitly under management directions to pooh-pooh climate change:
"[Journalists should] refrain from asserting that the planet has warmed (or cooled) in any given period without IMMEDIATELY pointing out that such theories are based upon data that critics have called into question."but that's not directly from Rupert, and it may well be (in fact, it's likely) that he is cynical enough to just let his more right wing outlets make money by pandering to beliefs he personally doesn't share.
But some of the latest Twits from Rupert directly show his mindset:
Funnily enough, Rupert, what happened to global warming in January was
that the global figure, according to the UAH satellite record which
skeptics usually say they trust most, showed a sudden leap upwards from
December:
And who eyeballing that graph can really come away with confidence that there's a halt to global warming going on when you look at the 20 or 30 year history?
Tea or coffee?
I quite liked Richard Glover's column this morning, which starts as follows:
The popularity of tea in the 17th century, I read this week, was a crucial factor in the expansion of the slave trade. This made me feel guilty about my early-morning ritual - properly brewed tea sipped in bed while reading the newspaper and picking nits from my partner's hair.
In truth, I shouldn't feel too bad because I don't take sugar. The sugar, you understand, was the problem; the popularity of tea brought a surge in demand for a sweetener, which created the need for vastly expanded sugar plantations, which in turn led to a boom in the slave trade.
Coffee, meanwhile, is said to have had a much more noble impact on history. I remember a book from a few years ago in which the writer Tom Standage argued that coffee led to the Enlightenment.
Here's his theory: once coffee arrived in Europe, coffee shops started taking over from pubs as the place where people would meet and talk which meant people were no longer completely pissed when they tried to strike up a conversation. All over Europe, people suddenly started making sense instead of just sounding like your Uncle Terry midway through lunch on Christmas Day. Sober for the first time in six centuries, they rapidly came up with the idea of rational thought.
It's a tough comparison for those of us who prefer a nice cup of tea: on one hand you have Jean-Jacques Rousseau knocking back an espresso while inventing universal education; on the other, a bunch of tea-desperate Poms waving off a fleet of miasmic slave hulks in order to summon up their next sugary hit.I'm not sure what the reference to nits in his wife's hair is in there for, though. Ignore that, and the rest is very witty.
For Bob and Gina
Lenore Taylor does a good job looking at the politics and improbabilities of the Coaltion's leaked discussion paper about developing Northern Australia:
And look who else is in on low wages and immigrants for the North:
Several ideas in the developing northern Australia discussion paper were ditched by Abbott almost as soon as they saw the light of day - including different taxation zones (which he conceded was likely to be unconstitutional, the same reason John Howard and Peter Costello rejected it on every one of the many, many occasions it was raised by the Nationals during the Coalition's last term) and the idea of cutting the aid budget by $800 million to pay for new medical facilities in the north.
The Coalition also immediately jettisoned the proposed ''first term initiative'' of moving federal departments to northern Australia. As the government quickly pointed out, many public servants responsible for policy delivery already lived outside Canberra. Presumably the ones advising future Coalition ministers would need to stay within earshot in the national capital.
And since the Coalition is planning major savings from cuts to the public service and sweeping changes to the way it does things, spending money moving people and departments around the country could run a little bit counter to the plan.
If these ideas were so obviously out of the question, it is unclear why they were included in a document sent by the opposition finance spokesman to premiers just last month, and included on the list of things the Coalition ''proposes to do'' in its first term.
She goes on to note that Federal politicians come up with these grand "let's decentralise"plans every decade or so; they never go far, as people tend to want to live where they want to live.
But as Lenore notes:
It is clear, however, that the ''visionary'' document aligns almost exactly with the manifesto of the mining magnate Gina Rinehart and others who have formed a lobby group called Australians for Northern Development and Economic Vision.
Erk. I'm kind of allergic to "vision" in politics. We can safely assume that Bob Katter would similarly be excited by any discussion of the North.
And look who else is in on low wages and immigrants for the North:
The director of the ''north Australia'' project at the Institute of Public Affairs, Dominic Talimanidis, says addressing labour shortages and ''heavily inflated wages costs'' is crucial for northern Australia to ''reach its full potential''.
I have often wondered if Gina is a financial supporter of the IPA. Their crooked views on climate change certainly align with hers. But who would know.
Friday, February 08, 2013
Sounds persuasive...
Here's Paul Krugman, sounding pretty reasonable, if you ask me:
Even Republicans admit, albeit selectively, that spending cuts hurt employment. Thus John McCain warned earlier this week that the defense cuts scheduled to happen under the budget sequester would cause the loss of a million jobs. It’s true that Republicans often seem to believe in “weaponized Keynesianism,” a doctrine under which military spending, and only military spending, creates jobs. But that is, of course, nonsense. By talking about job losses from defense cuts, the G.O.P. has already conceded the principle of the thing.Still, won’t spending cuts (or tax increases) cost jobs whenever they take place, so we might as well bite the bullet now? The answer is no — given the state of our economy, this is a uniquely bad time for austerity.One way to see this is to compare today’s economic situation with the environment prevailing during an earlier round of defense cuts: the big winding down of military spending in the late 1980s and early 1990s, following the end of the cold war. Those spending cuts destroyed jobs, too, with especially severe consequences in places like southern California that relied heavily on defense contracts. At the national level, however, the effects were softened by monetary policy: the Federal Reserve cut interest rates more or less in tandem with the spending cuts, helping to boost private spending and minimize the overall adverse effect.Today, by contrast, we’re still living in the aftermath of the worst financial crisis since the Great Depression, and the Fed, in its effort to fight the slump, has already cut interest rates as far as it can — basically to zero. So the Fed can’t blunt the job-destroying effects of spending cuts, which would hit with full force.The point, again, is that now is very much not the time to act; fiscal austerity should wait until the economy has recovered, and the Fed can once again cushion the impact.But aren’t we facing a fiscal crisis? No, not at all. The federal government can borrow more cheaply than at almost any point in history, and medium-term forecasts, like the 10-year projections released Tuesday by the Congressional Budget Office, are distinctly not alarming. Yes, there’s a long-term fiscal problem, but it’s not urgent that we resolve that long-term problem right now. The alleged fiscal crisis exists only in the minds of Beltway insiders.Still, even if we should put off spending cuts for now, wouldn’t it be a good thing if our politicians could simultaneously agree on a long-term fiscal plan? Indeed, it would. It would also be a good thing if we had peace on earth and universal marital fidelity. In the real world, Republican senators are saying that the situation is desperate — but not desperate enough to justify even a penny in additional taxes. Do these sound like men ready and willing to reach a grand fiscal bargain?Realistically, we’re not going to resolve our long-run fiscal issues any time soon, which is O.K. — not ideal, but nothing terrible will happen if we don’t fix everything this year. Meanwhile, we face the imminent threat of severe economic damage from short-term spending cuts.So we should avoid that damage by kicking the can down the road. It’s the responsible thing to do.
Agreed
Groundhog Day: the perfect comedy, for ever | Film | The Guardian
Oh look: a whole bunch of people think Groundhog Day is just about a perfect film.
I am inclined to agree. I love it too.
Oh look: a whole bunch of people think Groundhog Day is just about a perfect film.
I am inclined to agree. I love it too.
Prime number humour
Largest Prime Number Discovered; People Excited By Prime-Number News Still AWOL | Vanity Fair
The most interesting thing about the story is how odd it sounds to say that numbers are "discovered". Yes, there's a whole Platonic world of new and exciting, um, mental things out there just waiting to be found.
The most interesting thing about the story is how odd it sounds to say that numbers are "discovered". Yes, there's a whole Platonic world of new and exciting, um, mental things out there just waiting to be found.
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