Mind Matters Natural and Artificial Intelligence News and Analysis

Robert J. Marks

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Interlocking triangles in primary colors layered with precision

Monday Micro Softy 26: Arguing with Pythagoras

Will the diagonal of a triangle with sides of 3 and 4 feet be 5 feet or, as a visiting mathematician suggests, 7 feet?
The answer to last week’s puzzle lies in remembering what happens when you put a rod on a diagonal inside a square box. Read More ›
futuristic-drone-exploding-in-midair-with-sparks-and-digital-1267627752-stockpack-adobestock
Futuristic drone exploding in midair with sparks and digital connections representing cybersecurity attack autonomous aerial technology military surveillance and electronic warfare

Defense: EMP Cannons Could Down Drone Swarms like Bug Spray

Recently, the British military has developed an EMP cannon to do just that
But no technology is perfect. To counter EMP cannons, drone makers can shield their electronics in a Faraday cage. Read More ›
hand-made-wood-burn-tic-tac-toe-game-with-painted-rock-game-531760391-stockpack-adobestock
Hand made wood burn tic tac toe game with painted rock game pieces; yellow and red beetles and a wooden x and o game, sunset light

Micro Softy Monday 24: Have You Ever Tried 3D Tic Tac Toe?

To liven up a predictable game, try doing it in three — or even four — dimensions! You won't be bored
To solve the Barnum's Circus ticket receipts puzzle, recall that X, Y and Z must all be whole numbers. Algebra then enables us to work out the solution. Read More ›
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Circus lion. Ai art

Monday Micro Softy 23: Barnum’s Circus Receipts

Circus master Barnum's ticket seller had not kept proper track of the tickets sold. Can the limited information — and some algebra — help Barnum figure it out?
The solution to Micro Softy 22, given here, depends on the assumptions we make about Timmy's surgeon. Read More ›
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Multiple brown medicine bottles filled with yellow pills are arranged in a row on a reflective surface, creating a visually appealing composition

Monday Micro Softy 21: Finding More of the Deadly Fentanyl Pills

The solution to last week's deadly pills puzzle can be found, as we'll see, by numbering the bottles. But this week we make the challenge tougher…
In this week’s challenge, you don’t know how many pill bottles, if any, have been laced with fentanyl. Can you still discover the truth with a single weighing? Read More ›
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Abstract geometric background with triangles

Monday Micro Softy 19: The “Bermuda Triangle”

Why does the strange triangle, rearranged, appear to have a bit of extra area?
The solution to the Twins Paradox lies in considering the possibility that Curt and Rod were not alone in the womb. Read More ›
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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 ›
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Man holding bucket with holes leaking water

Monday Microsofty 16: The Leaky Bucket

The puzzler must decide where to place the hole for maximum distance of outward flow. And explain how the problem would change on the Moon
One hint for the solution to the hot washer problem, given here, is the old trick for getting a tight lid off a jar: Running hot water over it. Read More ›
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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 ›
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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 ›
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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 ›
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A female engineer in the near future who operates a hologram screen

AI Generated Content May Now Be Copyrighted

AI-generated work can be copyrighted if it involves “meaningful human authorship.”
The recent ruling is an important step in the right direction although much litigation will ensue. Read More ›
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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 ›
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Leather dice cup and dice on the table, rolling all sixes with 5 dice representing gambling and luck

The Monday Micro Softy 10: The Monte Hall Problem

In this case, it comes down to: How badly do you want a goat in your life?
Probability problems typically come down to analyzing the choices carefully and picking the most promising one. Read More ›