Express each of the statements using quantifiers. Then form the negation of the statement, so that no negation is to the left of a quantifier. Next, express the negation in simple English. (Do not simply use the words “It is not the case that”).
Some dogs can learn new tricks.
No rabbit knows calculus.
Every bird can fly.
There is no dog that can talk.
There is no one in this tutorial who knows Irish and Russian
1. Origin Statement: "Some dogs can learn new tricks."
In symbols:
Negation:
in English: "No dog can learn new tricks."
2. Origin Statement: "No rabbit knows calculus."
In symbols:
Negation:
in English: "Some rabbits know calculus."
3. Origin Statement: "Every bird can fly."
In symbols:
Negation:
in English: "Some birds can not fly."
4. Origin Statement: "There is no dog that can talk."
In symbols: or
Negation:
in English: "There exists dog that can talk."
5. Origin Statement: "There is no one in this tutorial who knows Irish and Russian."
In symbols: or
Negation:
in English: "Someone in this tutorial knows Irish and Russian."
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