Propositional logic

Define a proposition.

• Declarative statements

• Declarative statements that are either true or false

• Declarative statements that are either true or false but not both

• Any form of sentences

Which of the following is an example for a proposition?

• 2+3<5

• Please leave.

• Is it correct?

• x+4=5

Which of the following is NOT a proposition?

• x-4=5

• The sun rises in the East.

• Today is Friday.

• New Delhi is the capital of India

Identify the type of logical operator used in the following statement:

" I will forget the umbrella when it rains "

• Conjunction

• Disjunction

• Biconditional statements

• Conditional statements

Identify the type of logical operator used in the following statement:

" I will go out and buy the book".

• Conjunction

• Disjunction

• Exclusive or

• Conditional statement

Which of the following is/are conditional statements?

• Carol gets seasick whenever she is on a boat.

• Winds from the south imply a spring thaw.

• Experience with C++ or Java is required.

• Coffee or tea comes with dinner.

Write the Negation of the following statement?

" He has given the right answer."

(a)  

Choose the contrapositive statement for the conditional statement: " I go to the beach whenever it is a sunny summer day"

• If it is not a sunny summer day then I will not go to the beach

• It is not a sunny summer day when I will not go to the beach.

• It is a sunny summer day implies I will go to the beach.

• It is a sunny summer day if I will go to the beach.

Choose the converse for the statement: "You can access the website only if you pay a subscrip-

tion fee."

• If you pay a subscription fee then you can access the website.

• you pay a subscription fee when you can access the website.

• you pay a subscription fee whenever you can access the website.

• If you cannot pay a subscription fee then you cannot access the website.

What is the truth value for T∧T?

• T
• F