Exercise 1. Let p, q, and r be defined as: p: The zoo has a crumple-horned snorkack q: The zoo has an anglerfish r: The zoo has a baby Wordbank Write the following sentences in terms of p, q, and r and logical connectives (~, ^, V). (a) The zoo has an anglerfish, but it doesn't have a crumple-horned snorkack. (b) The zoo either has a baby Wordbank or an anglerfish. (c) The zoo has neither a baby Wordbank nor an anglerfish, but it does have a crumple-horned snorkack.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Exercise 1.
Let p, q, and r be defined as:
p: The zoo has a crumple-horned snorkack
q: The zoo has an anglerfish
r: The zoo has a baby Wordbank
Write the following sentences in terms of p, q, and r and logical connectives
(~, ^, V).
(a) The zoo has an anglerfish, but it doesn't have a crumple-horned snorkack.
(b) The zoo either has a baby Wordbank or an anglerfish.
(c) The zoo has neither a baby Wordbank nor an anglerfish, but it does have
a crumple-horned snorkack.
Transcribed Image Text:Exercise 1. Let p, q, and r be defined as: p: The zoo has a crumple-horned snorkack q: The zoo has an anglerfish r: The zoo has a baby Wordbank Write the following sentences in terms of p, q, and r and logical connectives (~, ^, V). (a) The zoo has an anglerfish, but it doesn't have a crumple-horned snorkack. (b) The zoo either has a baby Wordbank or an anglerfish. (c) The zoo has neither a baby Wordbank nor an anglerfish, but it does have a crumple-horned snorkack.
Exercise 9.
Consider argument given in question 1. Suppose an additional premise of q^r
was added to the argument. Does this change the validity of the argument?
Justify your answer.
Transcribed Image Text:Exercise 9. Consider argument given in question 1. Suppose an additional premise of q^r was added to the argument. Does this change the validity of the argument? Justify your answer.
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Given statements are

p: The zoo has a crumple-horned snorkack

q: The zoo has an anglerfish

r: The zoo has a baby wordbank

We have to write the given sentences in terms of p,q, and r and logical connectives.

The negation of above statement are

~p:The zoo does not have a crumple-horned snorkack

~q:The zoo does not have an anglerfish

~r:The zoo does not have a baby wordbank


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