A few years ago, Claire Cameron, Nautilus’s Social Media & News Editor asked five present or former members of Mensa, an international high-IQ society, founded in 1946. To qualify as members, they had to score above the 98th percentile on an IQ test or another standardized one. Her conversation with Richard Hunter, a retired finance director at a drinks distributor; journalist Jack Williams; Bikram Rana, a director at a business consulting firm; LaRae Bakerink, a business consultant; and clinical hypnotist John Sheehan brings into sharp relief the difference between high intelligence and genius — a fact that the high-IQ scorers were happy to admit. Some snippets from the conversation (participants are identified by their initials): RH: You can have a Read More ›
One of the most remarkable mathematicians in history was Srinivasa Ramanujan (1887–1920) whose life was cut short by tuberculosis. In an interesting essay, psychiatrist Ashwin Sharma asks us to look at ways that his last letter helps us understand our universe better: A cryptic letter addressed to G.H. Hardy on January 12th, 1920, will be remembered as one of the most important letters in Scientific history. Written by Srinivasa Ramanujan, a self-taught mathematical genius who, laying on his deathbed, left hints of a new and incredible mathematical discovery. Unfortunately, the letter was to be his last, dying three months later at 32. Ramanujan’s discovery took over 80 years to solve, and with it came answers to some of the most Read More ›
Math teacher Ali Kayaspor has thought a lot about how mathematicians have come up with fundamental ideas about the nature of reality and he shares anecdotes that give us a glimpse. But first, the cold shower: Unfortunately, there is no clear way to answer the question of how a mathematician thinks. But we can approach this question as follows; if you watched any chess tournament, the game’s analysis is shared in detail at the end of the match. When you examine the analysis, you will see a breaking point in each game. Similarly, mathematicians also experience a breaking point while working on a problem before finding a solution. Ali Kayaspor, “How Does a Mathematician’s Brain Differ from Other Brains?” at Read More ›
In the 1960s, mathematician and computer scientist Gregory Chaitin published a landmark paper in the field of algorithmic information theory in the Journal of the ACM – and he was only a teenager. Since then he’s explored mathematics, computer science, and even gotten a mathematical constant named after him. Robert J. Marks leads the discussion with Professor Gregory Chaitin on Read More ›
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. 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 ›
In our most recent podcast, “The Chaitin Interview III: The Changing Landscape for Mathematics,” Walter Bradley Center director Robert J. Marks interviewed mathematician and computer scientist Gregory Chaitin on many things mathematical, including whether math is invented or discovered. This time out, Chaitin talks about why he thinks great books on math, advancing new theorems, aren’t written much any more: https://episodes.castos.com/mindmatters/Mind-Matters-126-Gregory-Chaitin.mp3 This portion begins at 02:49 min. A partial transcript, Show Notes, and Additional Resources follow. Robert J. Marks: You don’t hear the word “scholarship” very much anymore in academia. Gregory Chaitin: And people don’t write books. In the past, some wonderful mathematicians like G. H. Hardy (1877–1947, pictured in 1927) would write wonderful books like A Mathematician’s Apology (1940) Read More ›
In this week’s podcast, “The Chaitin interview I: Chaitin chats with Kurt Gödel,” Walter Bradley Center director Robert J. Marks interviewed mathematician and computer scientist Gregory Chaitin on the almost supernatural awareness that the great mathematicians had of the foundations of reality in the mathematics of our universe: https://episodes.castos.com/mindmatters/Mind-Matters-124-Gregory-Chaitin.mp3 This discussion begins at 8:26 min. A partial transcript, Show Notes and Additional Resources follow. Robert J. Marks: There are few people who can be credited without any controversy with the founding of a game changing field of mathematics. We are really fortunate today to talk to Gregory Chaitin (pictured) who has that distinction. Professor Chaitin is a co-founder of the Field of Algorithmic Information Theory that explores the properties of Read More ›
It turns out that hyperreal numbers (i.e., infinities that obey algebraic rules) resolve many of the paradoxes that previously plagued conceptions of divergent series. It is now possible to assign specific values to divergent series.