
Monthly Archive April 2021


The “Jump” of Chaitin’s Omega Number
Gregory Chaitin explains, “For any infinity, there’s a bigger infinity, which is the infinity of all subsets of the previous step”In last week’s podcast, “The Chaitin Interview V: Chaitin’s Number,” Walter Bradley Center director Robert J. Marks asked mathematician Gregory Chaitin (best known for Chaitin’s unknowable number) if the unknowable number could prove (or disprove) Goldbach’s Conjecture that every even number can be expressed as the sum of two primes. This task is harder than it first appears because even numbers go on indefinitely. A proof that Christian Goldbach (1690–1764) was right or wrong must show that even numbers must be like that, no matter how big they are or how many of them there are. This time out, Dr. Marks and Dr. Chaitin discuss what we can know about Omega numbers — and where famous mathematicians are buried. This Read More ›

Texas Senate Passes Bill Prohibiting Big Tech Censorship
The bill seeks to reign in Big Tech power and protect the principle of free speech for Texas citizensLast week, the Texas Senate passed a measure that would prohibit large social media companies like Facebook and Twitter from censoring political and religious viewpoints of Texas citizens. The bill now awaits a vote in the Texas House. Senate Bill 12 was introduced in March by State Senator Bryan Hughes. Titled “Relating to the censorship of users’ expressions by an interactive computer service,” the bill would not only prohibit censorship, but would require social media companies to disclose their moderation policies, publish reports about any blocked content, and create a legal route for people to appeal any censoring or deplatforming decisions. Social media companies currently enjoy legal protections against lawsuit under Section 230 of the U.S. Code, which on the Read More ›

Boy Born With 2% of Brain “Does Maths, He Loves Science”
Noah Wall’s story raises intriguing questions about the relationship between the brain and the mindWell before Noah Wall was born, his odds did not look very good. Scans showed he had developed a cyst which was destroying his brain, along with spina bifida and hydrocephalus. Doctors predicted he would likely never talk, walk, or eat on his own. Five times his parents, Michelle (Shelly) and Rob, were pressed to abort him. Shelly recalls, “It wasn’t until around the 12 week scan that they knew something just wasn’t quite right,” Shelly told The Epoch Times in a video interview. “I said, ‘Does the baby have a heartbeat?’ And they said, ‘Yes.’ And I said, ‘Well, that’s all that matters to us.’” Shelly and Rob were referred to the RVI Hospital in Newcastle, where their baby Read More ›

Could Chaitin’s Number Prove Goldbach’s Conjecture At Last?
Chaitin notes that the problem grows exponentially and the calculations get quite horrendousIn last week’s podcast, “The Chaitin Interview V: Chaitin’s Number,” Walter Bradley Center director Robert J. Marks continued his conversation with mathematician Gregory Chaitin, best known for Chaitin’s unknowable number. One thing they discussed was the usefulness of philosophy, with Chaitin saying that if he had had to do practical work 60 years ago, there wouldn’t be practical research today based on the Omega number. But then they turned to the question of whether the unknowable number could prove Goldbach’s famous Conjecture: This portion begins at 17:17 min. A partial transcript, Show Notes, and Additional Resources follow. Robert J. Marks (pictured): The poster problem for the Turing halting problem, is Goldbach’s Conjecture, which says that every even number can be Read More ›

AI Researcher: Stop Calling Everything “Artificial Intelligence”
It’s not really intelligence, says Berkeley’s Michael Jordan, and we risk misunderstanding what these machines can really do for usComputer scientist Michael I. Jordan, a leading AI researcher, says today’s artificial intelligence systems aren’t actually intelligent and people should stop talking about them as if they were: They are showing human-level competence in low-level pattern recognition skills, but at the cognitive level they are merely imitating human intelligence, not engaging deeply and creatively, says Michael I. Jordan, a leading researcher in AI and machine learning. Jordan is a professor in the department of electrical engineering and computer science, and the department of statistics, at the University of California, Berkeley. Katy Pretz, “Stop Calling Everything AI, Machine-Learning Pioneer Says” at IEEE Spectrum (March 31, 2031) Their principal role, he says, is to “augment human intelligence, via painstaking analysis of large Read More ›

Why Impractical Things Like Philosophy Are Actually Quite Useful
Chaitin argues that the human spirit is capable of doing both practical things and impractical things which may have practical consequences laterIn last week’s podcast,, “The Chaitin Interview V: Chaitin’s Number,” Walter Bradley Center director Robert J. Marks continued his conversation with mathematician Gregory Chaitin, best known for Chaitin’s unknowable number. Last time, they looked at how Chaitin’s unknowable number relates to computer pioneer Alan Turing’s vexing halting problem in computer science. This time, they look at the way pure mathematics has a way of being highly practical: It creates a basis for new understanding, leading to technical breakthroughs: This portion begins at 09:50 min. A partial transcript, Show Notes, and Additional Resources follow. Gregory Chaitin: There are always going to be a few of us who like to do practical things. That’s part of my personality too, but there’s also, Read More ›

Parler vs. Amazon: Amazon Strikes Back!
Amazon is trying to avoid a state lawsuit through a hardball legal maneuver
Babies Can Understand Whole Sentences Before They Can Speak
Before uttering their first word, a new study suggests, children can understand what groups of words mean togetherIn a recent study of 11–12 month olds published in Cognition, researchers found that infants on the verge of saying single words themselves can already process complete sentences such as “Clap your hands.” The research sheds light on the difficulties adults have learning second languages if they focus too intensely on single words: Dr Barbora Skarabela, of the School of Philosophy, Psychology and Languages Sciences, said: “Previous research has shown that young infants recognise many common words. But this is the first study that shows that infants extract and store more than just single words from everyday speech. This suggests that when children learn language, they build on linguistic units of varying sizes, including multiword sequences, and not just single Read More ›

Why a “Budding” Neuroscientist Is Skeptical of Brain Scans
After reading her perceptive essay about the problems in fMRI imaging in neuroscience, I’m sad that a gifted student has doubts about a career in the fieldKelsey Ichikawa has just published a superb essay about the pitfalls of functional magnetic resonance imaging (fMRI) of the brain. Ms. Ichikawa (pictured), who describes herself as a ”budding” neuroscientist who graduated last year from Harvard, discusses the snares into which misinterpretation can lead us. fMRI brain scanning is a relatively new technology in which researchers and clinicians use magnetic resonance images (MRI) of the brain to detect brain activity almost as it happens. The technique is widely used, both for clinical care of patients (neurosurgeons use it to map sensitive parts of the brain prior to surgery) and for research purposes. A major thrust of neuroscience research in the last couple of decades has been the use of fMRI Read More ›

Chaitin’s Number Talks To Turing’s Halting Problem
Why is Chaitin’s number considered unknowable even though the first few bits have been computed?In last week’s podcast,, “The Chaitin Interview V: Chaitin’s Number,” Walter Bradley Center director Robert J. Marks continued his conversation with mathematician Gregory Chaitin( best known for Chaitin’s unknowable number) on a variety of things mathematical. Last time, they looked at whether the unknowable number is a constant and how one enterprising team has succeeded in calculating at least the first 64 bits. This time, they look at the vexing halting problem in computer science, first identified by computer pioneer Alan Turing in 1936: https://episodes.castos.com/mindmatters/Mind-Matters-128-Gregory-Chaitin.mp3 This portion begins at 07:16 min. A partial transcript, Show Notes, and Additional Resources follow. Robert J. Marks: Well, here’s a question that I have. I know that the Omega or Chaitin’s number is based Read More ›

Has the United States Lost Silicon Valley?
Once on friendly terms with the U,S, Department of Defense, Silicon Valley must consider the views of its friends in ChinaRecently, we learned that China had, for the first time, surpassed the United States in AI patent filings: The development was revealed by Li Yuxiao, Deputy Head of the Chinese Academy of Cyberspace Studies at the 7th World Internet Conference (WIC), reports SCMP. With this, China is now bolstering its position of being a leader in AI. As per the report, China had filed more than 110,000 artificial intelligence patents last year, more than the patents filed by the United States but the number of patents filed by the country has not been disclosed. “China surpasses US for the first time in artificial intelligence patent filings” at TECHregister (November 27, 2020) Now, people have been claiming that innovative competitiveness is Read More ›

The Mystery of Blindsight Helps Us Understand the Mind Better
How can a blind person demonstrate awareness of an object in his visual field — and yet not be conscious of it?Blindsight is the remarkable ability of some blind people to sense objects that they cannot actually see. It occurs when the blindness is caused by damage to the main part of the brain that processes visual information (the striate cortex). But the eyes themselves are intact. The eyes continue to see (sensation) but nothing is receiving the messages (perception). Or so we would think, except for this: One of the most contentious discussions in philosophy of mind and neuroscience is the nature of perception as opposed to sensation. How can we perceive objects in our environment? On a deeper level, what do we mean by “perception”? In what ways does perception differ from sensation, if at all? The neurobiology of Read More ›

Why Would a Neuroscientist Choose Panpsychism Over Materialism?
It seems to have come down to a choice between “nothing is conscious” and “everything is conscious”A really significant change in brain science in recent years has been the gradual acceptance in mainstream science venues of sympathy for panpsychism — the position that everything is conscious to some degree. Leading neuroscientist Christof Koch, for example, explained last month in MIT Reader: But who else, besides myself, has experiences? Because you are so similar to me, I abduce that you do. The same logic applies to other people. Apart from the occasional solitary solipsist this is uncontroversial. But how widespread is consciousness in the cosmos at large? How far consciousness extends its dominion within the tree of life becomes more difficult to abduce as species become more alien to us. One line of argument takes the principles Read More ›

How WOULD We Know If an AI Is Conscious?
It might be more complicated than we think. A powerful zombie is still a zombie.Neuroscientist Joel Frohlich (pictured) asks us to reflect on the “philosophical zombie.” That’s not the zombie of the late nite frites. It’s an entity that behaves outwardly in every respect like you and me but has no inner experience (think Stepford Wives). Philosopher David Chalmers originated the term in 1996, by way of illustrating why consciousness is a Hard Problem. A powerful computer can crunch through many difficult jobs without any inner life or consciousness. But, Frohlich, who is editor in chief of the science communications website Knowing Neurons, asks, what if we weren’t sure? How would we test that? Trying to determine if a powerful AI is conscious means getting past programming that might enable it to generate plausible Read More ›

Sci-fi Saturday: When Terraforming Mars Means Mars-forming People
In this award-winner, the underground humans must, according to the terraforming colony's rules, deny emotion, which pretty much guarantees a story“New Mars” at DUST by Susie Jones (March 30, 2021, 19:14 min) Earth is no more. A new generation lives underground on Mars preparing to begin a new life as the colonists of a planet which is being terraformed into a new habitable world. ‘New Mars’ is a society driven by science and logic to ensure humans will not make the same destructive decisions this time round. But two young hopefuls struggle with the intensity of their feelings – which inadvertently propels them towards an unexpected truth about their existence. (IMDB) “New Mars” premiered in 2019 and has won a number of awards. It conveys the claustrophobia of an underground world where death rules the planet’s surface. Life on a Read More ›

The Surprising Role Dolphins Have Played in the Search for ET
Dolphins, with their apparent alien intelligence, have been seen by scientists interested in ET as a stand-inIn a recent essay, Thomas Moynihan, a researcher with Oxford’s Future of Humanity Institute, puts the explosion of interest in dolphin intelligence in context: It began during the Space Race (1957–1998) — which helped fuel and fund the search for extraterrestrial intelligences. Its development also coincided withe Cold War (1946–1991) between the US and the USSR. In 1961, amid the growing tensions, neuroscientist John C. Lilly claimed that he had made contact with the first “alien” intelligence. But, as Moynihan says, Lilly “wasn’t talking about little green men from Tau Ceti, he was talking of minds much closer to home: bottlenose dolphins.” Why dolphins? As Moynihan recounts, from ancient times, mariners knew that dolphins were intelligent and modern zoologists like Read More ›

Before Digital: The World’s Most Amazing Windup Toys
Before electronics, there was mechanics — and it’s amazing what human ingenuity can do with a simple windup mechanismWindup toys were what we had before we had electricity and robotics. Some very elaborate ones were designed by clockmakers, starting in the late sixteenth century. Most of these clever clockworks, if they survived at all, survive only as faithful replicas. In order of approximate dates, here are some that did — remarkable testimonies to human skill, artistry, and cleverness: 1560s: One of the earliest is a mechanical monk: “The lore surrounding the monk is that King Philip II, son of Charles V, commissioned [clockmaker Juanelo] Turriano to create the penitent automaton after Philip’s son had recovered from a deathly illness. The king of Spain had prayed for his son’s recovery, promising a miracle for a miracle, and this machine Read More ›

Is Chaitin’s Unknowable Number a Constant?
One mathematics team has succeeded in the first 64 bits of a Chaitin Omega numberIn this week’s podcast, “The Chaitin Interview V: Chaitin’s Number,” Walter Bradley Center director Robert J. Marks continued his conversation with mathematician Gregory Chaitin, best known for Chaitin’s unknowable number. In this segment, Dr. Marks and Dr. Chaitin discuss whether the unknowable number is really a number… or is it a constant? In earlier podcasts linked below, they have discussed a variety of topics ranging from gifted mathematicians of the past through how to understand creativity in a mathematical way—and more. https://episodes.castos.com/mindmatters/Mind-Matters-128-Gregory-Chaitin.mp3 This portion begins at 01:32 min. A partial transcript, Show Notes, and Additional Resources follow. Robert J. Marks (pictured): I want to clear up something first of all. Stanford’s Thomas Cover and Joy Thomas wrote a book that Read More ›

How China’s “Hostage Diplomacy” Traps Unsuspecting Visitors
Canada’s “Two Michaels” await their fate in prison in China, hostages to the growing tensions in a high-tech warCanadian entrepreneur Michael Spavor (pictured) and former Canadian diplomat Michael Kovrig were arrested in China in 2018 on charges of espionage and sharing state secrets, and held in prison since then. Spavor’s trial was on March 19, 2021, in Dandong near China’s border with North Korea. Kovrig’s trial was on March 22 in Beijing. As of this writing, no verdict has been announced. Their trials coincided with the U.S-China Summit in Anchorage, Alaska, on March 18 and 19, 2020, which involved a tense back-and-forth between the two countries. Court proceedings were closed-door and Spavor’s and Kovrig’s lawyers were not allowed to be present. That, according to Canada’s deputy chief of mission in China, violates the Canada-China consular agreement. Prime Minister Read More ›