Mind Matters Natural and Artificial Intelligence News and Analysis

CategoryLogic

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Frozen creek 7

Monday Micro Softy 30: Driving a Cement Mixer

Why did the car with leaky tires suddenly start handling like a cement mixer, and then, just as suddenly, handle normally again?
Micro Softy 29 shows that unambiguous facts can be stated in confusing language but cold hard logic can solve the puzzle. Read More ›
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Cityscape of the Flatiron Building (New York City)

How Can We Conceive of Perfection When We Never Experience It?

Here's a challenge to the materialist theory that every mental state is a brain state: How can a perfect thought be an imperfect brain state? Read More ›
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People, sad and funeral coffin, death and grief in church during ceremony or service, depression or floral. Support, emotional pain and sorry with casket, mourning and man in suit at casket in chapel

Monday Micro Softy 29: A Funeral Lament in Four Lines

The funeral director was puzzled by Dan’s description of his relationship to the deceased but there was no question that his grief was sincere
The answer to Monday Micro Softy 28 shows that, where chance is concerned, even the advice given in books about beating the odds can be wrong. Read More ›
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Bright red keyboard key inviting users to enter a competition or sweepstakes while highlighting the importance of participation

Monday Micro Softy 28: Beating the Odds of Winning Sweepstakes?

Does it make a difference when the sweepstakes hobbyist sends in her entries?
The solution to Monday Micro Softy 27 lies in appreciating the significance of Keith’s request for two bags instead of one. Read More ›
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A hyper-realistic depiction of a small explosion caused by fireworks, capturing every spark and color detail in slow motion

How the Physicalist Theory of Mind Blows Itself Up

If we examine its basic premise that the brain is a computer and the mind is software we come across a startling contradiction
Mathematics is not material, yet artificial intelligence proponents believe that the mathematics of their neural networks is the seat of consciousness. Read More ›
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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 ›
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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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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 ›
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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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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 ›