MTH113-B

MTH 113B assignment
1.
a) A mathematical statement is a declarative sentence that is either true or false. They will consist of symbols and words
b) i) Not a statement because it is neither true nor false. Almost seems to be vague which says sometimes false and many times true.
ii) Not a statement because this is a command instructing to abstain from something. Hence cannot be ascertained true or false required for a statement
iii) Here there are 4 compound statements mixed together. Hence cannot be said true or false unless we separate them into 4 different statements.
iv) This is a statement because it can be said whether true or false.
c) See this sentence. I am not a liar.
This is a self referral sentence and whether it is true or false statement cannot be ascertained except by you. This is your ascertainment about you and it is not a statement in general.
d) A declarative statement that we do not know true or false.
Eg: If Tom misses the exams, he would go to his aunt’s house.
A declarative statement that cannot be true or false.
Eg: If all flights are cancelled due to corona, John will stay in quarantine.
(This cannot be said whether true or false)
2a) Truth table for pvq
    p
    q
    ~p
    ~q
    pVq
     
     
     
     
     
    T
    T
    F
    F
    T
    T
    F
    F
    T
    T
    T
    T
    F
    F
    T
    T
    F
    F
    T
    T
    F
    T
    T
    F
    T
    F
    F
    T
    T
    F
    F
    T
    T
    F
    T
    F
    F
    T
    T
    F
i.e when any one p or q is true the last column p v q is true.
Pvq can be false only if both p and q are false.
2b)...