Logical Reasoning Flashcards

1
Q

How do you form a contrapositive statement?

A

Take the original relationship, flip it and then negate both terms

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2
Q

What does the negative of X mean?

A

Not X

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3
Q

What are the Group 1 sufficient indicators?

A
  1. If
  2. All
  3. When
  4. Whenever
  5. Every
  6. Anyone
  7. Where
  8. Any/the only
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4
Q

What are the Group 2 necessary indicators?

A
  1. Only/only ____
  2. Always
  3. Requires
  4. Must
  5. Necessitates
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5
Q

What are the Group 3 indicators and how do you handle them?

A

Pick one of the components, negate it and make it the sufficient condition

  1. Unless
  2. Until
  3. Without
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6
Q

What are the Group 4 indicators and how do you handle them?

A

Same as Group 3, but make it the necessary condition

  1. No
  2. None
  3. Never
  4. Cannot
  5. Not both
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7
Q

How do you weaken an argument?

A

Concede the premises and show that the conclusion does not follow (DON’T ATTACK PREMISES)

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8
Q

Do you accept the premises/conclusion or the answers with MSS questions?

A

The premises/conclusion

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9
Q

Do you accept the premises/conclusion or the answers with Weakening questions?

A

The answers

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10
Q

How do you handle strengthening questions?

A

Find gap between premise/conclusion and try to bolster it

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11
Q

How do you handle MBT questions?

A
  1. Ask if the conclusion must be true
  2. Ask if you could say “not necessarily” (don’t fall for could be true)
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12
Q

What should you do if the author’s scope/claims are broad and general?

A

Avoid answers that are specific or absolute

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13
Q

Watch out for exaggerations (like going from “some” in the stimulus to “most” in the answer choices)

A

Ok

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14
Q

What will correct answers usually offer in MBT questions?

A
  1. Restate the stimulus (watch out for exaggerations/slight manipulations)

or

  1. Result from combining two elements from the stimulus
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15
Q

What’s the biggest logical trap you need to avoid?

A

Sufficient/Necessary swap

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16
Q

What is true about correct answers for MBT?

A

They can always be proven by the stimulus

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17
Q

What are some common question stems for MBT?

A

…which of the following must also be true? …which of the following can be properly inferred? …most strongly support which of the following?

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18
Q

What types of answers should you avoid in MBT?

A
  1. Could be true
  2. Exaggerated
  3. New information
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19
Q

What types of incorrect answers appear for MP?

A
  1. Answers that are true, but don’t encapsulate the point
  2. Answers that repeat premises
20
Q

What does the word “some” mean?

A

At least one, possibly all

21
Q

What does the word “most” mean?

A

A majority, possibly all

22
Q

Do contrapositives exist for “most” or “some” statements?

23
Q

Which logical indicators DO NOT have reversible relationships?

A

All or most

24
Q

Which logical indicators do have reversible relationships?

A

None, some, if-but-only-if

25
What is the square-rectangle of most, all, and some?
All → Most → Some
26
What is the negative square-rectangle?
None → Most are not → Some are not
27
What is a sufficient condition?
An event or circumstance whose occurrence indicates that a necessary condition must also occur.
28
What is a necessary condition?
A necessary condition can be defined as an event or circumstance whose occurrence is required in order for a sufficient condition to occur.
29
What is the relationship between sufficient and necessary conditions?
If a sufficient condition occurs, you know that a necessary condition also occurs
30
What logical issue should you watch out for?
Mistaken reversal (of the sufficient and necessary conditions)
31
What phrases often introduce a sufficient condition?
1. If 2. When 3. Whenever 4. Every 5. Any 6. All 7. People who 8. In order to
32
What phrases often introduce a necessary condition?
1. Then 2. Only 3. Only if 4. Must 5. Required 6. Unless 7. Except 8. Until 9. Without
33
How should you handle Weaken questions?
1. Focus on the conclusion 2. Suspect information in the stimulus 3. New information is fine in Weaken questions
34
What phrases often introduce Weaken questions?
1. Weaken 2. Attack 3. Undermine 4. Refute 5. Argue against 6. Call into question 7. Cast doubt 8. Challenge 9. Damage 10. Counter
35
What should you be looking for in Weakening questions?
1. Incomplete information 2. Improper comparisons 3. Qualified conclusions
36
If a stimulus is particularly difficult, beware answer choice A
Ok
37
How do you attack a causal conclusion?
1. Find an alternate cause for the effect 2. Show that when the cause happens, the effect does not follow 3. Show that the effect can occur w/o the cause being present 4. Show reverse causality 5. Show the statistics used are questionable
38
For Strengthen, Justify the Conclusion, and Assumption questions: what part of the stimulus should you focus on?
The conclusion
39
What will the correct answer choice for a Strengthen question do?
Strengthen the argument by 1-100%
40
What will the correct answer for a Justify the Conclusion question do?
Prove it 100%
41
What will the correct answer for an Assumption question do?
Show what must be true for the argument to be true
42
What must correct answers for assumption questions do?
Make a statement that the author relies upon/is fully committed to
43
What is the logical opposite of "all"?
Not all
44
What is the logical opposite of "some"?
None
45
What are three quirks of Assumption questions?
1. Choices that start w/ "at least one" or "at least some" have an unusually high chance of being correct 2. Avoid answers that claim a point was the most important consideration 3. Watch out for "not" or other negatives in the answer choice 4. Avoid answers that describe a cause of the cause or effect of the effect