Our Favorite Logic 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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Key Facts In This Video

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    Here is the connect-the-towns math problem: (0:01)

05:24

Key Facts In This Video

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    Here's the connect-the-towns math problem: (0:01)

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    Working out the solution to problems like the connect-the-towns math problem is called calculus of variations. (1:36)

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    Here is the solution to the connect-the-towns math problem: (2:25)

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from singingbanana

Key Facts In This Video

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    The traditional setup of the Monty Hall Problem places a goat behind two doors and a sports car behind one. (0:26)

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    It's easier to understand the solution to the Monty Hall Problem if you envision 100 doors instead of 3. (1:53)

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

04:52

Key Facts In This Video

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    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. (1:06)

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    Using an "extreme case" to approach a problem allows people to visualize the problem's elements and solve it more easily. (1:59)

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

03:19

Key Facts In This Video

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    Here is the heaven and hell guardian problem: (0:05)

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    Here is the answer to the heaven and hell guardian problem: (1:06)

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Key Facts In This Video

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    This is the burning rope problem logic puzzle: (0:06)

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    Hint: Both ropes would take longer than 45 min. to burn, if you only lit one end. (1:22)

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    Here is the solution to the burning rope problem logic puzzle: (2:08)

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