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Puzzles

Our Favorite Logic Puzzles

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 mind-benders 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.

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  1. Here is the connect-the-towns math problem: 00:01

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Key Facts In This Video

  1. Here's the connect-the-towns math problem: 00:01

  2. Working out the solution to problems like the connect-the-towns math problem is called calculus of variations. 01:36

  3. Here is the solution to the connect-the-towns math problem: 02:25

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

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

  3. The Monty Hall Problem is not genuinely random, which is why its solution is counterintuitive. 03:53

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  1. 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

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

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

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  1. Here is the heaven and hell guardian problem: 00:05

  2. Here is the answer to the heaven and hell guardian problem: 01:06

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  1. This is the burning rope problem logic puzzle: 00:06

  2. Hint: Both ropes would take longer than 45 min. to burn, if you only lit one end. 01:22

  3. Here is the solution to the burning rope problem logic puzzle: 02:08

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