Basic Logic & Proofs

Identify whether 'x=1+5, x=6' is proposition or not

• Proposition

• Not Proposition

A compound proposition that is always true is called

• Contingency

• Tautology

• Logical equivalence

Identify how many premise are there :

If he loves me then he gives me flowers. He gives me flowers. Thus, he loves me

• 2

• 3

• 4

Based on the table, find answer for number 2

Based on the table, find answer for number 4

P : Ali is 7 years old

Q : Ali is in standard one

write 'if ali is 7 years old then he is in standard one' into formula is

Let T(x,y) represent 'x is taller than y' and let the universe be set of people,

determine whether the formula is true or false

• False

• True

Let the universe be the set of cars and F(x,y) denote x is faster than y.

the given predicate can be written as

• every car is faster than every car

• every car is faster than some car

• some car are faster than every car

Rules of Inferences consists of:

• Disjunctive syllogism

• Addition

• Modus Ponens

What is Logical Equivalence?

• a compound propositions that is always true

• compound A has same truth values with compound B

• a compound propositions that is both true and false