Logic Tips Flashcards

1
Q

Given multiple pieces of information, where should you start?

A

Start with the one that lets you deduce the most.

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2
Q

When you want to guarantee something will work, what should you ask yourself?

A

“What’s the worst that could happen?”

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3
Q

When choosing which information to get, what should you think about?

A

Think about which piece will tell you what you want to know even in the worst case.

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4
Q

When a hidden coin matches an unopened safe, what new information do you get?

A

It lets us narrow down the possible arrangements of the coins.

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5
Q

Suppose a statement says X is not true. What is the true value of the statement if we learn that the statement is false?

A

Then we now know that X is true.

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6
Q

When two statements contradict each other, what do we know?

A

We know that it’s not possible for both statements to be true; that means at least one must be false.

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7
Q

If three items are put in order so a certain two are next to each other, which must be in the middle?

A

One of the two that must be next to each other has to be in the middle.

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8
Q

If there’s something that is “more” in a category as another thing, what do we know about that thing?

A

That it can’t rank as the “most” in the category.

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9
Q

If you come to an impossible situation, what do we know about the facts you’ve assumed?

A

That at least one of them must be false.

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10
Q

Can the statement “I don’t know” be useful to you?

A

Yes, in fact, it may tell you a lot more than you might think.

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11
Q

What must you do to guarantee success?

A

Ensure that you will win in every possible scenario. Even if you’ve found one possibility, remember that there might be more out there.

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12
Q

What should you do when solving a puzzle involving large numbers?

A

Think about how you might solve a similar puzzle involving smaller numbers.

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13
Q

Can it help to imagine a scenario from another person’s perspective?

A

Yes, in fact, sometimes it even helps to imagine what it would be like to be someone imagining what it’s like to be someone else.

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14
Q

What is the concept of “assume, and then revise”?

A

Assume something, and then see what results from it. If you run into a contradiction, then your assumption must be false.

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15
Q

If you get a bad outcome, what should you do?

A

Try something different the next time you see the same scenario.

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16
Q

If all possible cases except one turn out to be impossible, what can you conclude?

A

That case must be true.