| Monday, May 19, 2008 |

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Einstein on God
By Diana Hsieh @ 12:17 AM 
I've not studied the views of Albert Einstein much, but I was surprised by this revelation of his views on God (via Dan Rohr):
Albert Einstein described belief in God as "childish superstition" and said Jews were not the chosen people, in a letter to be sold in London this week, an auctioneer said Tuesday. The father of relativity, whose previously known views on religion have been more ambivalent and fuelled much discussion, made the comments in response to a philosopher in 1954.
As a Jew himself, Einstein said he had a great affinity with Jewish people but said they "have no different quality for me than all other people". "The word God is for me nothing more than the expression and product of human weaknesses, the Bible a collection of honourable, but still primitive legends which are nevertheless pretty childish. No interpretation no matter how subtle can (for me) change this," he wrote in the letter written on January 3, 1954 to the philosopher Eric Gutkind, cited by The Guardian newspaper.
The German-language letter is being sold Thursday by Bloomsbury Auctions in Mayfair after being in a private collection for more than 50 years, said the auction house's managing director Rupert Powell. In it, the renowned scientist, who declined an invitation to become Israel's second president, rejected the idea that the Jews are God's chosen people. "For me the Jewish religion like all others is an incarnation of the most childish superstitions," he said. "And the Jewish people to whom I gladly belong and with whose mentality I have a deep affinity have no different quality for me than all other people." And he added: "As far as my experience goes, they are no better than other human groups, although they are protected from the worst cancers by a lack of power. Otherwise I cannot see anything 'chosen' about them."
Previously the great scientist's comments on religion -- such as "Science without religion is lame, religion without science is blind" -- have been the subject of much debate, used notably to back up arguments in favour of faith. Powell said the letter being sold this week gave a clear reflection of Einstein's real thoughts on the subject. "He's fairly unequivocal as to what he's saying. There's no beating about the bush," he told AFP. That's definitely a refreshing blast of anti-religious air. Yet it doesn't go far enough. The Hebrew Bible not a collection of "collection of honourable, but still primitive legends." It is a collection of bloody, barbaric, and primitive legends. As a body of primitive literature, the Hebrew Bible is fascinating and often compelling -- but it's wholly unsuitable for moral instruction. The moral lesson of The Binding of Isaac, for example, is the absolute obligation of blind obedience to God's commands, even when those commands require morally abhorrent sacrifices of priceless treasures. Abraham must sacrifice his only beloved son Isaac to God simply because God demands it -- and he's rewarded by God because he's willing to do so without so much as a peep of protest. Such stories ought to be studied and enjoyed as historical curiosities, not as a foundation for modern life and morals.Labels: Religion, Science
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| Tuesday, May 13, 2008 |

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Pat Corvini 2007 Course on Math Now Available
By Paul Hsieh @ 12:01 AM 
In my 4/26/2008 blog post, "Are Mathematical Truths Discovered or Invented?", I referred to Dr. Pat Corvini's superb course at the 2007 OCON as an excellent example of applying the Objectivist epistemology to the concept of number. At the time, the course was not yet available for sale.
As an update - the course is now available for purchase from the Ayn Rand Bookstore. Here's a slightly modified description of the course, per Dr. Corvini:Two, Three, Four and All That
Number, though ubiquitous, is widely misunderstood. Drawing on Objectivist epistemology, this course sheds new light on the subject by sketching a reduction of the key ideas behind the modern number system and by showing their connection to cognition in general. Recognizing the objectivity of number provides a new framework for resolving historical and modern debates, and yields a heightened appreciation for the science of mathematics as a whole.
This course uses a detailed examination of the ideas behind counting, negative numbers, and area-measurement as concretes on which to illustrate wider conclusions about the nature of number. While not strictly a prerequisite, this material provides context for Dr. Corvini's course on modern ideas of number and infinity ("The Sequel," to be delivered at Objectivist Summer Conference 2008), and is highly recommended for those planning to attend. According to the Ayn Rand Bookstore, the course is a 6-CD set, selling for $61.95. Total run time is 4 hrs., 29 min., including Q & A.Labels: ARI, Science
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| Saturday, April 26, 2008 |

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Are Mathematical Truths Discovered or Invented?
By Paul Hsieh @ 11:23 AM 
This question is one of the topics in the upcoming June 2008 issue of the European Mathematical Society Newsletter. As Science News reports, this subject "has provided fodder for arguments among mathematicians and philosophers" for thousands of years, with no seeming resolution.
On one hand, there are Platonists who believe this:...[A] mathematician discovers timeless truths independent of human observation and free of the transient nature of physical reality. "The abstract realm in which a mathematician works is by dint of prolonged intimacy more concrete to him than the chair he happens to sit on," says Ulf Persson of Chalmers University of Technology in Sweden, a self-described Platonist. But the Platonists are forced to deal with some tricky implications of their views:Those who espouse discovery note that mathematical statements are true or false regardless of personal beliefs, suggesting that they have some external reality. But this leads to some odd notions. Where, exactly, do these mathematical truths exist? Can a mathematical truth really exist before anyone has ever imagined it? In contrast, there are those who believe that such talk of an abstract realm is just mystical hogwash:Brian Davies, a mathematician at King's College London, writes that Platonism "has more in common with mystical religions than with modern science." And modern science, he believes, provides evidence to show that the Platonic view is just plain wrong. He titled his article "Let Platonism Die."
...Reuben Hersh of the University of New Mexico ...rejects the Platonic view, arguing instead that mathematics is a product of human culture, not fundamentally different from other human creations like music or law or money. But the latter school is faced with a different set of intractable questions:On the other hand, if math is invented, then why can't a mathematician legitimately invent that 2 + 2 = 5?
...The challenge, [Hersh] admits, is to explain why it is that mathematical statements can be definitively true or false, not subject to taste or whim. The solution to this millenia-old argument is to abandon both the intrisicist approach of the Platonists and the subjectivist approach of their opponents. Instead, mathematical concepts (like all concepts) are neither intrinsic nor subjective but objective. It is in debates like this where the Objectivist approach to epistemology and concept formation prove their value -- in being able to cut through the errors made over the centuries by struggling philosophers and mathematicians.
Of course, properly applying Rand's theory of concept formation to the philosophy of mathematics is a non-trivial task. Concepts of number are both seemingly self-evident, but also represent feats of tremendous abstraction. But scholars such as Dr. Pat Corvini have made a good start. Her course at the 2007 OCON, "Two, Three, Four and All That", was on precisely that topic -- namely how to apply the Objectivist theory of concept formation to concepts of number:The concept of number as used in science today is one of man's greatest achievements: a grand-scale integration capping centuries of effort and enabling a vastly expanded efficacy in all areas of life. But the growth in complexity of the number system has rendered the meaning of number ever more mysterious; number is seen both as a touchstone of certainty and as an arbitrary human construct whose applicability to the real world is a deep mystery. This is because the nature of number has not been properly identified; and as Ayn Rand pointed out, that imprecision is dangerous.
This course clarifies the meaning of "number" by examining it in the light of Miss Rand's theory of concepts. Recognizing the objectivity of number provides a new framework for resolving both historical and modern debates, and yields a heightened appreciation for the science of mathematics as a whole—further reinforcing the value of Objectivist epistemology. She is also offering a follow-up course at this year's 2008 OCON, "Two, Three, Four and All That: The Sequel":Science shelves of bookstores are today awash in accounts of modern extensions of the idea of number, including infinity and the continuum, set theory, transfinite numbers, and the like. Many of these ideas, and the "mysteries" that proceed from them, figure prominently in modern philosophy and in popular discussion of the nature and limits of reason.
In this course, Dr. Corvini explains and evaluates some of the most influential of these ideas, using as a frame of reference both their historical context and the view of number as objective developed in her earlier courses. By identifying the fundamental nature of the ideas and of the errors involved, we see again the importance of a proper theory of concepts, and clarify the differences between an objective approach to mathematics and the more traditional views. I have long had an interest in those topics such as foundations of set theory, the nature of the concept "infinity", etc. Hence, if her 2008 course is as good as her 2007 course, then it promises to be a real treat. Diana and I have already signed up for it.
Although I have a degree in mathematics (B.S., MIT, 1984), her courses do not require any advanced math background. Dr. Corvini is a very clear and engaging lecturer, and she is excellent at explaining the relevant mathematical concepts to a general audience. If you can count to 10 and you are a normal intelligent adult, then you can follow her lectures.
So if you want to see how the power of the Objectivist theory of concepts can resolve questions that have stumped some of history's greatest minds for thousands of years, check out her courses!
(I don't believe that her 2007 course is available yet through the Ayn Rand Bookstore, but I expect that it will be eventually. It was available for purchase by 2007 conference attendees as part of the usual post-conference package, and hence I think it will eventually make it to the main bookstore listing.)Labels: Objectivism, Philosophy, Science
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| Sunday, April 20, 2008 |

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Animal Minds
By Paul Hsieh @ 7:44 AM 
The March 2008 issue of National Geographic recently published an interesting article on research into animal minds. If the reported facts are reliable, then animals may have some ability to isolate similarities and differences between percepts. Here is an excerpt from the article on scientist Irene Pepperberg and her parrot Alex:...[B]ecause Alex was able to produce a close approximation of the sounds of some English words, Pepperberg could ask him questions about a bird's basic understanding of the world. She couldn't ask him what he was thinking about, but she could ask him about his knowledge of numbers, shapes, and colors. To demonstrate, Pepperberg carried Alex on her arm to a tall wooden perch in the middle of the room. She then retrieved a green key and a small green cup from a basket on a shelf. She held up the two items to Alex's eye.
"What's same?" she asked.
Without hesitation, Alex's beak opened: "Co-lor."
"What's different?" Pepperberg asked.
"Shape," Alex said. His voice had the digitized sound of a cartoon character. Since parrots lack lips (another reason it was difficult for Alex to pronounce some sounds, such as ba), the words seemed to come from the air around him, as if a ventriloquist were speaking. But the words—and what can only be called the thoughts—were entirely his.
For the next 20 minutes, Alex ran through his tests, distinguishing colors, shapes, sizes, and materials (wool versus wood versus metal). He did some simple arithmetic, such as counting the yellow toy blocks among a pile of mixed hues. Of course, researchers have to be extremely careful not to anthropomorphize when interpreting such results. And even if animals are able to perform this sort of mental integration and differentiation of their percepts, this is not the same as being able to reason in the human sense. Hence, this post should not be construed as endorsing any form of "animal rights".
But it is plausible from an evolutionary perspective that the human mental abilities that allow us engage in concept formation and reasoning would have primitive precursors in some of the higher animals, and that human cognition has a foundation based on those pre-existing building blocks. Hence, the exact abilities of various animal minds is a fascinating scientific subject worthy of study, even if it may not have any primary philosophical import.
(I've been told that some Objectivists believe that animals are essentially automatons without any feeling or consciousness, like rocks or plants. In my opinion, this is untrue, and data such as this is further evidence against that erroneous position.)Labels: Science
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| Thursday, January 10, 2008 |

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Cold Weather? I Blame Global Warming
By Paul Hsieh @ 7:10 AM 
There's been a fair amount of extreme cold weather recently around the world. Of course, many environmentalists are attributing this to global warming. Geophysicist David Deming notes:Extreme cold weather is occurring worldwide. On Dec. 4, in Seoul, Korea, the temperature was a record minus 5 degrees Celsius. Nov. 24, in Meacham, Ore., the minimum temperature was 12 degrees Fahrenheit colder than the previous record low set in 1952. The Canadian government warns that this winter is likely to be the coldest in 15 years.
Oklahoma, Kansas and Missouri are just emerging from a destructive ice storm that left at least 36 people dead and a million without electric power. People worldwide are being reminded of what used to be common sense: Cold temperatures are inimical to human welfare and warm weather is beneficial. Left in the dark and cold, Oklahomans rushed out to buy electric generators powered by gasoline, not solar cells. No one seemed particularly concerned about the welfare of polar bears, penguins or walruses. Fossil fuels don't seem so awful when you're in the cold and dark.
If you think any of the preceding facts can falsify global warming, you're hopelessly naive. Nothing creates cognitive dissonance in the mind of a true believer. In 2005, a Canadian Greenpeace representative explained “global warming can mean colder, it can mean drier, it can mean wetter.” In other words, all weather variations are evidence for global warming. I can't make this stuff up.
Global warming has long since passed from scientific hypothesis to the realm of pseudo-scientific mumbo-jumbo. Labels: Environmentalism, Science
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| Tuesday, November 20, 2007 |

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Theory of Everything?
By Paul Hsieh @ 7:51 AM 
Physicist/surfer Garrett Lisi may have come up with a physics theory that unites all the fundamental particles and forces of nature, including gravity, without relying on dubious multidimensional string theory. According to this related article:...[H]is proposal is remarkable because, by the arcane standards of particle physics, it does not require highly complex mathematics.
Even better, it does not require more than one dimension of time and three of space, when some rival theories need ten or even more spatial dimensions and other bizarre concepts. In other words, it doesn't require invoking arbitrary new dimensions for which we have no evidence. Plus it makes testable predictions that are at variance with the so-called Standard Model. The New Scientist article states that his theory predicts:...[M]ore than 20 new particles not envisaged by the standard model. Lisi is now calculating the masses that these particles should have, in the hope that they may be spotted when the Large Hadron Collider - being built at CERN, near Geneva in Switzerland - starts up next year.
"This is an all-or-nothing kind of theory - it's either going to be exactly right, or spectacularly wrong," says Lisi. "I'm the first to admit this is a long shot. But it ain't over till the LHC sings." David Harriman mentioned in his lecture to our Front Range Objectivism group last year that any physicist who wants to challenge the dominance of string theory will have a very hard time, since nearly all the grant funding in academia for such foundational issues is controlled by people who believe in string theory. It seems that this is borne out by Lisi's experience, as reported by New Scientist:Most attempts to bring gravity into the picture have been based on string theory, which proposes that particles are ultimately composed of minuscule strings. Lisi has never been a fan of string theory and says that it's because of pressure to step into line that he abandoned academia after his PhD. "I've never been much of a follower, so I walked off to search for my own theory," he says. Last year, he won a research grant from the charitably funded Foundational Questions Institute to pursue his ideas. For those who are interested in the details of his theory, here's the link to his paper (click on "PDF" on the upper right). The abstract reads as follows:An Exceptionally Simple Theory of Everything
A. Garrett Lisi (Submitted on 6 Nov 2007)
Abstract: All fields of the standard model and gravity are unified as an E8 principal bundle connection. A non-compact real form of the E8 Lie algebra has G2 and F4 subalgebras which break down to strong su(3), electroweak su(2) x u(1), gravitational so(3,1), the frame-Higgs, and three generations of fermions related by triality. The interactions and dynamics of these 1-form and Grassmann valued parts of an E8 superconnection are described by the curvature and action over a four dimensional base manifold. Those who want a semi-technical explanation (with video) can find one here. My own mathematics background is not strong enough to make an assessment of the merits of his theory. Nor do I know any more about the Foundational Questions Institute besides what's on their webpage. But for what it's worth, I did meet Garrett Lisi at a dinner party several years ago as a friend-of-a-friend, back when Diana and I lived in San Diego and he was still a graduate student in physics at UCSD. At the time, he struck me as an extremely intelligent man, so he would be a plausible candidate for someone who could have come up with a revolutionary new theory in physics.Labels: Science
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