Logic and philosophy

 

 

1. Are the following two sentences logically equivalent?

(~RvS)~R~O)

~Rv (S – O)

If

2. Your friend Anne says that she believes the following two things. Can she hold these

beliefs consistently? What does this tell us about the truth values of her beliefs?

( It is not the case that either the mind doesn’t have an unconscious aspect, or

the cause of behavior cannot be known by reflecting on our own minds.

(i)- Both the mind doesn’t have an unconscious aspect and the cause of behavior

cannot be known by reflecting on our own minds.

3. Suppose your friend Ellen jumps into the conversations and says the following. Is Ellen

right that Anne is contradicting herself?

“wait, both the mind doesn’t have an unconscious aspect, and the cause of

behavior cannot be known by reflecting on our own minds? Earlier you said that

you accepted that it was not both the mind doesn’t have an unconscious aspect,

and the cause of behavior cannot be known by reflecting on our own minds!

Aren’t you contradicting yourself Anne?”

EXTRA CREDIT

1. We have seen that there are some reasons to think that the truth-functional

definitions of disjunction, and conjunction do not fully capture the meaning of the

words or and ‘and. Explain what these reasons are using truth tables and an

example of conjunction and one example of disjunction.

2.

Consider the following propositions. Are they true according to propositional logic?

Why or why not?

a. If George Lucas is a woman, then George Lucas is a Human Being.

b. If the United States is a country, then New York is a country.

If the moon is made of green cheese, then California is in South America.

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