BASIC LOGIC & PROOF

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

• 
  P→Q

• Q→P

• P↔Q  

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

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