There are many variations on the logic puzzle, a device that some say was first introduced by Charles Lutwidge Dodson (better known by his nom de plume Lewis Carroll). In The Game of Logic, he introduced a series of syllogisms, or logical arguments that require deductive reasoning to arrive at a conclusion based on two or more propositions. From this seminal book, produced in 1886, a slew of variations have proliferated, such as the logic grid puzzle, Sudoku, and crosswords. These mindbenders are not only a fun challenge, they may be good for the brain. Some studies show that puzzles can help slow the cognitive decay caused by aging.
Key Facts In This Video

Here is the connectthetowns math problem: 00:01
Key Facts In This Video

Here's the connectthetowns math problem: 00:01

Working out the solution to problems like the connectthetowns math problem is called calculus of variations. 01:36

Here is the solution to the connectthetowns math problem: 02:25
Key Facts In This Video

The traditional setup of the Monty Hall Problem places a goat behind two doors and a sports car behind one. 00:26

It's easier to understand the solution to the Monty Hall Problem if you envision 100 doors instead of 3. 01:53

The Monty Hall Problem is not genuinely random, which is why its solution is counterintuitive. 03:53
Key Facts In This Video

Archimedes' Principle states that the buoyant force on an object underwater is equal to the weight of the volume of water that the object displaces. 01:06

Using an "extreme case" to approach a problem allows people to visualize the problem's elements and solve it more easily. 01:59

Here are two more problems that lend themselves well to "extreme case" solving: 03:25
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