Mind Matters Natural and Artificial Intelligence News and Analysis

CategoryLogic

three-fabric-gift-bags-in-gray-beige-and-red-sitting-on-a-ma-1173416824-stockpack-adobe_stock
Three fabric gift bags in gray, beige, and red, sitting on a marble surface against a bokeh background of Christmas lights.

Monday Micro Softy 17: Mixed-up Bags of Marbles

The bags-of-marbles puzzle is comparatively simple: How many marbles must you pull from the mislabeled bags in order to relabel them correctly?
There’s a rough solution to the “leaky bucket” problem but an exact solution requires some use of fluid dynamics. And the Moon, surprisingly, changes nothing. Read More ›
colorful-space-galaxy-cloud-nebula-stary-night-cosmos-universe-science-astronomy-supernova-background-wallpaper-stockpack-adobe-stock
Colorful space galaxy cloud nebula. Stary night cosmos. Universe science astronomy. Supernova background wallpaper

Ross Douthat Makes the Case that Religious Belief Is Rational

His new book is written largely with the agnostic or full-on atheist in mind but believers would certainly also benefit, as I did
He notes, if our brains evolved merely to help us stay alive, then it’s strange that those same mental states could invent the telescope to explore the cosmos. Read More ›
set-of-metal-washers-in-the-foreground-stockpack-adobe-stock-295865857-stockpack-adobe_stock
Set of metal washers in the foreground

Micro Softy 15: What Happens to the Hole in a Hot Washer?

When a washer ring is heated, does the hole in the center get bigger or smaller?
The answer to last week’s Micro Softy turns on the question of what form of currency Claire gave the blind ticket seller. Did you guess it right? Read More ›
facade-of-grand-central-terminal-at-twilight-in-new-york-sto-73869599-stockpack-adobe_stock
Facade of Grand Central Terminal at twilight in New York

Monday Micro Softy 14: How Did the Blind Ticket Seller Know?

This puzzle doesn’t require math skills so much as advanced common sense reasoning
About last week’s solution, given here: If you code, the second part of the puzzle could also be offered to a computer. Read More ›
sandcastle-at-st-aubins-beach-stockpack-adobe-stock-26053835-stockpack-adobe_stock
Sandcastle at St Aubin's Beach

How Mathematician Kurt Gödel Proved the Unprovable Proposition

He kicked over the mathematical sandcastles of those who proposed a mathematical Theory of Everything
While Gödel’s technique was unheard of in his day, we are very familiar with it today. It is the same technique that computers use to store information. Read More ›
stained-glass-window-stockpack-adobe-stock-49509031-stockpack-adobe_stock
stained-glass window

Monday Micro Softy 13: Garbage Trucks, String Theory…

… and Stained-Glass Windows. What connects them?
These puzzles, associated with the great mathematician Leonard Euler (1707‒1783), have a practical use, for example, in laying water pipes. Read More ›
group-of-musicians-after-the-performance-of-his-work-stockpa-64535576-stockpack-adobe_stock
group of musicians after the performance of his work

Monday Micro Softy 11: What Happened to That Other Dollar?

Shirley, Goodness, and Mercy get the discount for their cheap hotel rooms but the figures don’t really add up
To solve this Micro Softy, you need to pinpoint the flaw in the logic that hinges on the Law of Conservation of Money. Read More ›
manhole-drain-cover-on-streets-of-lower-manhattan-stockpack-62965341-stockpack-adobe_stock
Manhole drain cover on streets of lower Manhattan

Microsoft: What Did You Need To Work There in the Early Days?

They asked questions that were not about the details of computer technology. The questions made you think. Hard.
For example. they would ask questions like, why are manhole covers round? Read More ›
four-leaf-clover-stands-out-against-green-leaves-stockpack-adobe-stock
Four-leaf clover stands out against green leaves

Bad Luck Seldom Persists — But it Never Guarantees Good Luck

Many people embrace the fallacious law of averages in their daily lives when "regression toward the mean" is a more realistic picture
For example, the baseball player with the highest batting average in any season generally does not do as well the season before or the season after. Read More ›
a-pile-of-shovels-and-forks-laying-on-the-ground-stockpack-unsplash
a pile of shovels and forks laying on the ground

AI Is Still a Delusion

Following instructions and performing fast, tireless, error-free calculations is not intelligence in any meaningful sense of the word
Not knowing what words mean, neither OpenAI’s ChatGPT 3.5 nor Microsoft’s Copilot nor Google’s Gemini can do a simple logic test. Read More ›