21. All people are mice. All mice are mortal. All people are mortal.
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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21 & 23
![Indicate whether the arguments in 21-27 are valid or
invalid. Support your answers by drawing diagrams.
21.
22.
23.
24.
25.
26.
27.
All people are mice.
All mice are mortal.
.. All people are mortal.
All discrete mathematics students can tell a
valid argument from an invalid one.
All thoughtful people can tell a valid argument
from an invalid one.
.. All discrete mathematics students are thoughtful.
All teachers occasionally make mistakes.
No gods ever make mistakes.
.. No teachers are gods.
No vegetarians eat meat.
All vegans are vegetarian.
. No vegans eat meat.
No college cafeteria food is good.
No good food is wasted.
.. No college cafeteria food is wasted.
All polynomial functions are differentiable.
All differentiable functions are continuous.
:. All polynomial functions are continuous.
[Adapted from Lewis Carroll.]
Nothing intelligible ever puzzles me.
Logic puzzles me.
.. Logic is unintelligible.
30
3
32](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ec5dee8-4b81-4c1e-b6ca-023c2626018b%2F1e7cbad0-59b1-4840-a9d9-27ffe2ccc345%2Fpezzot_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Indicate whether the arguments in 21-27 are valid or
invalid. Support your answers by drawing diagrams.
21.
22.
23.
24.
25.
26.
27.
All people are mice.
All mice are mortal.
.. All people are mortal.
All discrete mathematics students can tell a
valid argument from an invalid one.
All thoughtful people can tell a valid argument
from an invalid one.
.. All discrete mathematics students are thoughtful.
All teachers occasionally make mistakes.
No gods ever make mistakes.
.. No teachers are gods.
No vegetarians eat meat.
All vegans are vegetarian.
. No vegans eat meat.
No college cafeteria food is good.
No good food is wasted.
.. No college cafeteria food is wasted.
All polynomial functions are differentiable.
All differentiable functions are continuous.
:. All polynomial functions are continuous.
[Adapted from Lewis Carroll.]
Nothing intelligible ever puzzles me.
Logic puzzles me.
.. Logic is unintelligible.
30
3
32
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