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1. If it is raining, then the ground is wet. 2. It is raining. 3 ..., Lecture notes of Discrete Mathematics

BOCES Practical Nursing Program - Madison OneidaDiscrete Mathematics

This argument is invalid: the truth of the premises does not give us grounds to accept the conclusion as true. There are reasons other than rain that the ground ...

Typology: Lecture notes

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Uploaded on 09/12/2022

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Check for Understanding: Major and Minor Claims
In the two examples below please identify the major claim and the minor claim.
Claim A
1. If it is raining, then the ground is wet.
2. It is raining.
3. Therefore, the ground is wet.
Now, consider a second argument.
Claim B
1. If it is raining, then the ground is wet.
2. The ground is wet.
3. Therefore, it is raining.
Bonus: Claim B is not a good claim, can you example why?
- 1 -
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Check for Understanding: Major and Minor Claims In the two examples below please identify the major claim and the minor claim. Claim A

  1. If it is raining, then the ground is wet.
  2. It is raining.
  3. Therefore, the ground is wet. Now, consider a second argument. Claim B
  4. If it is raining, then the ground is wet.
  5. The ground is wet.
  6. Therefore, it is raining. Bonus: Claim B is not a good claim, can you example why? - 1 -

Check for Understanding: Major and Minor Claims In the two examples below please identify the major claim and the minor claim. Claim A

  1. If it is raining, then the ground is wet. MAJOR
  2. It is raining. MINOR
  3. Therefore, the ground is wet. Now, consider a second argument. Claim B
  4. If it is raining, then the ground is wet. MAJOR
  5. The ground is wet. MINOR
  6. Therefore, it is raining. Bonus: Claim B is not a good claim, can you example why? At first glance, one may be tempted to believe that this argument shows good reasoning as well. Since we have already established the truth-value of the first premise, and since we will assume that somewhere the ground is, in fact, wet, let us consider the relationship between the premises and the conclusion. This argument is invalid: the truth of the premises does not give us grounds to accept the conclusion as true. There are reasons other than rain that the ground could be wet: the sprinkler system could be on, for instance. - 2 -