Answered: Instructions: For each argument below,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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Instructions: For each argument below, evaluate the truth of each premise (write “true,”
“false,” or “questionable”). Then evaluate the argument’s support (write “valid” or
“invalid,” and briefly explain why). Finally, determine the overall quality of the
argument (write “sound” or “unsound”), and briefly explain why
SAMPLE: P1) Some dads have a beard.
P2) All bearded people are mean.
C) Some dads are mean.
Truth of premise 1: true
Truth of premise 2: questionable (“mean” is subjective)
(true, false, or questionable)
Support: valid
(valid or invalid)
Why: the premises establish that bearded dads are mean,
so some dads (the ones with beards) are mean
Overall: unsound
(sound or unsound)
Why: fails the truth test -- premise 2 is not true
1. P1) All cats are fish.
P2) All fish live underwater. .
C) All cats live underwater.
Truth of premise 1:
Truth of premise 2:
(true, false, or questionable)
Support:
(valid or invalid)
Why:
Overall:
(sound or unsound)
Why:

1. P1) All cats are fish.
P2) All fish live underwater. .
C) All cats live underwater.
Truth of premise 1:
Truth of premise 2:
(true, false, or questionable)
Support:
(valid or invalid)
Why:
Overall:
(sound or unsound)
Why:

2. P1) All humans are mammals.
P2) All dolphins are mammals. .
C) All humans are dolphins.
Truth of premise 1:
Truth of premise 2:
(true, false, or questionable)
Support:
(valid or invalid)
Why:
Overall:
(sound or unsound)
Why:

3. P1) No humans are marsupials.
P2) All kangaroos are marsupials.
C) No kangaroos are humans.
Truth of premise 1:
Truth of premise 2:
(true, false, or questionable)
Support:
(valid or invalid)
Why:
Overall:
(sound or unsound)
Why:

4. P1) All cats are mammals.
P2) All cats have fur.
C) All mammals have fur.
Truth of premise 1:
Truth of premise 2:
(true, false, or questionable)
Support:
(valid or invalid)
Why:
Overall:
(sound or unsound)
Why:

5. P1) If it’s cloudy in Union, New Jersey, then Kean University cancels class.
P2) Kean University canceled class today.
C) It’s cloudy in Union, New Jersey today.
Truth of premise 1:
Truth of premise 2:
(true, false, or questionable)
Support:
(valid or invalid)
Why:
Overall:
(sound or unsound)
Why:

6. P1) If it snows more than 12 inches in Union, New Jersey,
then Kean University cancels class.
P2) Kean University did not cancel class today.
C) It did not snow more than 12 inches in Union, New Jersey today.
Truth of premise 1:
Truth of premise 2:
(true, false, or questionable)
Support:
(valid or invalid)
Why:
Overall:
(sound or unsound)
Why:

7. P1) Barack Obama is a living human being.
P2) All living human beings breathe oxygen.
C) Barack Obama breathes oxygen.
Truth of premise 1:
Truth of premise 2:
(true, false, or questionable)
Support:
(valid or invalid)
Why:
Overall:
(sound or unsound)
Why:

8. P1) All rectangles have exactly four sides.
P2) All rectangles are circles.
C) All circles have exactly four sides.
Truth of premise 1:
Truth of premise 2:
(true, false, or questionable)
Support:
(valid or invalid)
Why:
Overall:
(sound or unsound)
Why:

9. P1) Oprah Winfrey is a person.
P2) Some people flew in an airplane today.
C) Oprah Winfrey flew in an airplane today.
Truth of premise 1:
Truth of premise 2:
(true, false, or questionable)
Support:
(valid or invalid)
Why:
Overall:
(sound or unsound)
Why:

10. P1) All students in this class are college students.
P2) All Kean students are college students.
C) All students in this class are Kean students.
Truth of premise 1:
Truth of premise 2:
(true, false, or questionable)
Support:
(valid or invalid)
Why:
Overall:
(sound or unsound)
Why:

11. P1) All students in this class are humans.
P2) Most humans are not billionaires.
C) Most students in this class are not billionaires.
Truth of premise 1:
Truth of premise 2:
(true, false, or questionable)
Support:
(valid or invalid)
Why:
Overall:
(sound or unsound)
Why:

12. P1) Some cats have fur.
P2) All furry things are cute.
C) Some cats are cute.
Truth of premise 1:
Truth of premise 2:
(true, false, or questionable)
Support:
(valid or invalid)
Why:
Overall:
(sound or unsound)
Why:

13. P1) All squares are rectangles.
P2) All rectangles are rhombuses.
P3) All rhombuses are pretty.
C) All squares are pretty.
Truth of premise 1:
Truth of premise 2:
Truth of premise 3:
(true, false, or questionable)
Support:
(valid or invalid)

14. P1) Donald Trump was either a great president or the greatest president.
P2) Donald Trump wasn’t the greatest president.
C) Donald Trump was a great president.
Truth of premise 1:
Truth of premise 2:
(true, false, or questionable)
Support:
(valid or invalid)
Why:
Overall:
(sound or unsound)
Why:

Why:
Overall:
(sound or unsound)
Why:

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