Archive for logic

GC. Another Buncha Prisoners

Man, what is it with puzzlers and prisoners? Jeff Yoak lines ‘em up and the stakes are high in this week’s puzzle. 

Also, we are now twittering at MathFactor; each of the authors has an account of his own; mine is CGoodmanStrauss. You can tag solutions and comments with #mathfactor. See you there!

 
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GB. Hat Strategy

How can three people, each required to guess the color of hat on their head, strategize and maximize the chances they’ll all be right?

 
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ET. Your Holiday Shopping Guide

Our favorite new and not-so-new products of 2008!

 
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Check out these great gifts!

Hope this helps and have fun!! Let us know how it works out!

Happy Holidays from the Math Factor!

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Follow Up: The Harmonic Series

That the worm falls off the end of the rope depends on the fact that the incredible
harmonic series

1 + 1/2 + 1/3 + 1/4 + . . .
diverges to infinity, growing as large as you please!

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EG. The Colossal Book of Short Puzzles and Problems

 
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Dana Richards, editor of The Colossal Book of Short Puzzles and Problems discusses the amazing Martin Gardner and his legacy!

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EC. Skyrocketing Functions!

 
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Faster than an exponential! More powerful than double factorials!! The Busy Beaver Function tops anything that could ever be computed– and we mean ever

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EB. Busy Beavers and Dumb Robots

 
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Those dumb robots can do anything! Anything at all, that any computer can do.

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EA. The Limits of Computation

One of the great discoveries of the twentieth century is that mathematics can describe the limits of mathematical thought! We’ll discuss some of these ideas from time to time in coming weeks. In this segment, we consider Alan Turing’s insightful question:

Can the answer to any mathematical question be computed?

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DV. Dealing with Chaos

We explore Barry Cipra’s Tag Deal a bit more…

 
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DT. Speaking of Self-reference

We catch up with Raymond Smullyan, author of many fantastic books on logic, puzzles and paradoxes at this year’s Gathering for Gardner!

 
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