Mind Matters Natural and Artificial Intelligence News and Analysis

CategoryMathematics

group-of-the-small-termite-on-decaying-timber-the-termite-on-385199374-stockpack-adobestock
Group of the small termite on decaying timber. The termite on the ground is searching for food to feed the larvae in the cavity.

Monday Micro Softy 81: Termites Are Surprisingly Smart

Provided we agree to count swarm intelligence, which we also use in computer science

Swarm intelligence enables the colony to converge on the shortest and most efficient path to food without any individual being especially smart.

Read More ›
ai-and-math-concept-stockpack-adobe-stock-258774750-stockpack-adobestock
AI and math concept

What AI Has and Hasn’t Solved Recently in Math

We need to look at the distinction between horizontal and vertical innovation

AI displays very impressive horizontal integration (integrating existing concepts) but not vertical integration (entirely new inventions).

Read More ›
mathematician-deciphers-mathematical-equations-defining-the-801796705-stockpack-adobestock
Mathematician Deciphers Mathematical Equations Defining the Universe's Structure

Monday Microsofty 79: The Last Digits in Fermat’s Last Theorem

Did Andrew Wiles really prove Fermat’s Last Theorem? Today we offer you a chance to decide

About last week’s MicroSofty: Think of the probability issue as just a distraction…

Read More ›
abstract-numbers-background-mathematical-numbers-concept-3d-347387030-stockpack-adobestock
Abstract Numbers background - Mathematical, Numbers concept. 3d rendering

Micro Softy 56:   Elon Musk Parody’s Circle of Numbers

The circle of numbers looks pretty simple until you start thinking about it...

If you suspected that last week’s talk of baseball was just a distraction from the real puzzle hint, now you can find out.

Read More ›
a-collage-of-baseball-players-and-memorabilia-stockpack-adob-1010320881-stockpack-adobestock
A Collage of Baseball Players and Memorabilia

Monday Micro Softy 55: “It Happens Every Spring”

Baseball, that is. Here’s a puzzle that takes in baseball's favorite season, summer

To solve last week’s puzzle, you don’t need to know the distance. Check the problem again for the number you do need to know.

Read More ›
two-commercial-airliners-pass-each-other-at-high-altitude-st-795752948-stockpack-adobestock
Two Commercial Airliners Pass Each Other at High Altitude

Micro Softy 54: A Plane Problem for Aspiring Engineers

The senator is leaving Washington to avoid the governor and their planes are headed in opposite directions

Today’s Micro Softy tests whether you are clever enough with math to code computers or be an engineer. Here’s the story: Senator Kornn did not like Governor Friar. Both were from Texas. When Kornn learned that Governor Friar was visiting Washington, DC, Kornn said “This town’s not big enough for the both of us.”  So Kornn decided to leave DC for that period. Kornn and Friar get on planes at the same time. One was at Reagan International Airport in DC and the other was at the Dallas Fort Worth (DFW) Airport. So each was flying to the other’s airport. Both planes took off at the same time. After a while, Kornn looked out of his first-class window and saw Read More ›

protecting-balance-between-percentage-and-house-model-stockp-211320042-stockpack-adobestock
Protecting Balance Between Percentage And House Model

Home Ownership: Madness Over 30-Year Mortgages

It is tempting to put borrowing and investment decisions in separate mental buckets, but they are intimately related

When considering a mortgage, the correct comparison is not total payments but the return on the borrowed money versus the loan’s annual percentage rate.

Read More ›
empty-driveway-in-front-of-the-big-white-luxury-dream-house-843669444-stockpack-adobestock
Empty driveway in front of the big white luxury dream house in the evening. Residential home building exterior, expensive dwelling, wealthy rich family property and yard. Glowing mansion

Monday Micro Softy 53: Kicking In the Door

To solve this puzzle, you will need to sharpen your abductive reasoning skills

There are actually two possible solutions to last week’s puzzle, depending on how you interpret the pattern of the arithmetic.

Read More ›
a-pile-of-light-bulbs-one-bulb-is-glowing-bright-while-the-o-803430156-stockpack-adobestock
A pile of light bulbs, one bulb is glowing bright while the others are dark can symbolize creative thinking or innovative ideas being born from simple concepts Generative AI

Monday Micro Softy 52: Elon Musk Parody Asks: Are You a Genius?

The puzzle comes from a parody X account but it is a genuine stumper

Last week’s puzzle is easy to solve if we recall how many parents a child needs and of what type…

Read More ›
male-mechanic-hold-and-rolling-tire-at-repairing-service-gar-286788620-stockpack-adobestock
Male mechanic hold and rolling tire at repairing service garage background. Technician man replacing winter and summer tyre for safety road trip. Transportation and automotive maintenance concept

Monday Micro Softy 51: A Tale of Two Auto Mechanics

I recognized the two mechanics when I went to the garage…

To solve Microsofty 50, about cutting a loaf of cornbread into eight pieces by making three slices, try thinking in three dimensions.

Read More ›
delicious-golden-and-fluffy-cornbread-pieces-artfully-stacke-1573367907-stockpack-adobestock
Delicious, golden, and fluffy cornbread pieces, artfully stacked, enticing a feeling of warmth and comfort

Monday Micro Softy 50: Cutting Through the Cornbread

How did Yuri Senior cut the cornbread into eight identical portions using only three straight cuts?

You can guess the answer to Microsofty 49 if you try the test question yourself at home, using a small mirror.

Read More ›
grand-central-stockpack-adobe-stock-2601882-stockpack-adobestock
grand central

Monday Micro Softy 46: Three Loving Brothers in New York State

Why did Mario, who was just trying to economize on Uber trips, end up visiting Luigi five times as often as he visited Bob?

A hint for solving Micro Softy 45: Average speed is independent of the distance to the store.

Read More ›
a-futuristic-fast-food-joint-stands-tall-its-walls-of-gleami-966802437-stockpack-adobestock
A futuristic fast food joint stands tall, its walls of gleaming metal and glass illuminated by a dazzling

Monday Micro Softy 45: Can Tony Beat the Fast-Food Curfew?

An early curfew on fast food service motivated a boy to exercise more vigorously. But how fast was he pedaling?

To solve Micro Softy 44, recall that Tony doesn’t need to take the individual pills each day, only the prescribed amount of each.

Read More ›
tiny-tropical-island-with-hut-and-palms-surrounded-sea-blue-602295303-stockpack-adobestock
Tiny tropical island with hut and palms surrounded sea blue water, generative AI.

Micro Softy 44:  Pete’s Pill Problem

Pete, alone on a desert island, accidentally scattered the pills he must take in the correct order. He has only a few numbers to work with to reconstruct his instructions

For Micro Softy 43, the bookkeeper’s trick consists in applying the fact that when two adjacent digits are switched, the difference is always divisible by 9.

Read More ›
microscopic-view-of-bacteria-cells-with-flagella-on-organic-1299282280-stockpack-adobestock
Microscopic View of Bacteria Cells with Flagella on Organic Surface

Monday Micro Softy 42: Bacteria Multiply by Dividing

But our puzzlers must solve this math question without doing either. And no calculators allowed.

A hint for solving Micro Softy 41: Dividing an unusually shaped piece of land among four sons rather than three is easier if you think in terms of fractals.

Read More ›